TSTP Solution File: PUZ016-2.005 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 : Mon Jul 18 18:20:27 EDT 2022
% Result : Unsatisfiable 0.46s 0.64s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(uncovered2_1_2,negated_conjecture,
~ vertical_1_2 ).
cnf(uncovered3_1_2,negated_conjecture,
~ horizontal_1_1 ).
cnf(covered_1_1,negated_conjecture,
( horizontal_1_1
| vertical_1_1 ) ).
cnf(covered_1_5,negated_conjecture,
( vertical_1_5
| horizontal_1_4 ) ).
cnf(covered_2_2,negated_conjecture,
( horizontal_2_2
| vertical_2_2
| horizontal_2_1
| vertical_1_2 ) ).
cnf(covered_2_4,negated_conjecture,
( horizontal_2_4
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ) ).
cnf(covered_3_1,negated_conjecture,
( horizontal_3_1
| vertical_3_1
| vertical_2_1 ) ).
cnf(covered_3_3,negated_conjecture,
( horizontal_3_3
| vertical_3_3
| horizontal_3_2
| vertical_2_3 ) ).
cnf(covered_3_5,negated_conjecture,
( vertical_3_5
| horizontal_3_4
| vertical_2_5 ) ).
cnf(covered_4_2,negated_conjecture,
( horizontal_4_2
| vertical_4_2
| horizontal_4_1
| vertical_3_2 ) ).
cnf(covered_4_4,negated_conjecture,
( horizontal_4_4
| vertical_4_4
| horizontal_4_3
| vertical_3_4 ) ).
cnf(covered_5_1,negated_conjecture,
( horizontal_5_1
| vertical_4_1 ) ).
cnf(covered_5_3,negated_conjecture,
( horizontal_5_3
| horizontal_5_2
| vertical_4_3 ) ).
cnf(covered_5_5,negated_conjecture,
( horizontal_5_4
| vertical_4_5 ) ).
cnf(unique_cover1_1_4,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_4 ) ).
cnf(unique_cover3_2_1,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_1_1 ) ).
cnf(unique_cover5_2_1,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_1_1 ) ).
cnf(unique_cover1_2_3,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_3 ) ).
cnf(unique_cover2_2_3,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_2 ) ).
cnf(unique_cover4_2_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_2 ) ).
cnf(unique_cover4_2_5,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_2_4 ) ).
cnf(unique_cover5_2_5,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_1_5 ) ).
cnf(unique_cover1_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_2 ) ).
cnf(unique_cover2_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_1 ) ).
cnf(unique_cover3_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_2 ) ).
cnf(unique_cover4_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_1 ) ).
cnf(unique_cover5_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_2_2 ) ).
cnf(unique_cover6_3_2,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_2_2 ) ).
cnf(unique_cover1_3_4,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_4 ) ).
cnf(unique_cover2_3_4,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_3 ) ).
cnf(unique_cover4_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_3 ) ).
cnf(unique_cover5_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_2_4 ) ).
cnf(unique_cover6_3_4,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_2_4 ) ).
cnf(unique_cover1_4_1,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_1 ) ).
cnf(unique_cover3_4_1,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_1 ) ).
cnf(unique_cover5_4_1,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_3_1 ) ).
cnf(unique_cover1_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_3 ) ).
cnf(unique_cover2_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_2 ) ).
cnf(unique_cover3_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_3 ) ).
cnf(unique_cover4_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_2 ) ).
cnf(unique_cover5_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_3_3 ) ).
cnf(unique_cover6_4_3,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_3 ) ).
cnf(unique_cover4_4_5,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_4_4 ) ).
cnf(unique_cover5_4_5,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_3_5 ) ).
cnf(unique_cover6_4_5,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_3_5 ) ).
cnf(unique_cover2_5_2,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_1 ) ).
cnf(unique_cover3_5_2,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_4_2 ) ).
cnf(unique_cover6_5_2,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_4_2 ) ).
cnf(unique_cover2_5_4,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_3 ) ).
cnf(unique_cover3_5_4,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_4_4 ) ).
cnf(unique_cover6_5_4,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_4_4 ) ).
cnf(refute_0_0,plain,
vertical_1_1,
inference(resolve,[$cnf( horizontal_1_1 )],[covered_1_1,uncovered3_1_2]) ).
cnf(refute_0_1,plain,
~ vertical_2_1,
inference(resolve,[$cnf( vertical_1_1 )],[refute_0_0,unique_cover5_2_1]) ).
cnf(refute_0_2,plain,
( horizontal_3_1
| vertical_3_1 ),
inference(resolve,[$cnf( vertical_2_1 )],[covered_3_1,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[$cnf( vertical_3_1 )],[refute_0_2,unique_cover3_4_1]) ).
cnf(refute_0_4,plain,
( ~ vertical_3_1
| horizontal_5_1 ),
inference(resolve,[$cnf( vertical_4_1 )],[covered_5_1,unique_cover5_4_1]) ).
cnf(refute_0_5,plain,
( horizontal_3_1
| horizontal_5_1 ),
inference(resolve,[$cnf( vertical_3_1 )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ horizontal_5_1
| horizontal_4_1
| horizontal_4_2
| vertical_3_2 ),
inference(resolve,[$cnf( vertical_4_2 )],[covered_4_2,unique_cover6_5_2]) ).
cnf(refute_0_7,plain,
( horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ horizontal_3_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_7,unique_cover1_3_2]) ).
cnf(refute_0_9,plain,
( ~ horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| vertical_2_3 ),
inference(resolve,[$cnf( vertical_3_3 )],[covered_3_3,unique_cover3_4_3]) ).
cnf(refute_0_10,plain,
( ~ vertical_3_3
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( vertical_4_3 )],[covered_5_3,unique_cover5_4_3]) ).
cnf(refute_0_11,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_5_3
| vertical_2_3 ),
inference(resolve,[$cnf( vertical_3_3 )],[covered_3_3,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ horizontal_2_2
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_11,unique_cover4_2_3]) ).
cnf(refute_0_13,plain,
~ horizontal_2_1,
inference(resolve,[$cnf( vertical_1_1 )],[refute_0_0,unique_cover3_2_1]) ).
cnf(refute_0_14,plain,
( horizontal_2_2
| vertical_1_2
| vertical_2_2 ),
inference(resolve,[$cnf( horizontal_2_1 )],[covered_2_2,refute_0_13]) ).
cnf(refute_0_15,plain,
( horizontal_2_2
| vertical_2_2 ),
inference(resolve,[$cnf( vertical_1_2 )],[refute_0_14,uncovered2_1_2]) ).
cnf(refute_0_16,plain,
( ~ horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[$cnf( vertical_2_2 )],[refute_0_15,unique_cover6_3_2]) ).
cnf(refute_0_17,plain,
( ~ horizontal_3_2
| horizontal_2_2 ),
inference(resolve,[$cnf( vertical_2_2 )],[refute_0_15,unique_cover3_3_2]) ).
cnf(refute_0_18,plain,
( ~ vertical_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_7,unique_cover5_3_2]) ).
cnf(refute_0_19,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_2_2 )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ horizontal_4_2
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( vertical_4_3 )],[covered_5_3,unique_cover4_4_3]) ).
cnf(refute_0_21,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ horizontal_4_4
| horizontal_5_4 ),
inference(resolve,[$cnf( vertical_4_5 )],[covered_5_5,unique_cover4_4_5]) ).
cnf(refute_0_23,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_4_4
| vertical_3_4 ),
inference(resolve,[$cnf( vertical_4_4 )],[covered_4_4,unique_cover6_5_4]) ).
cnf(refute_0_24,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| vertical_3_4 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ horizontal_3_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_24,unique_cover4_3_4]) ).
cnf(refute_0_26,plain,
( ~ horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| vertical_2_3 ),
inference(resolve,[$cnf( vertical_3_3 )],[covered_3_3,unique_cover6_4_3]) ).
cnf(refute_0_27,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_19,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ horizontal_2_3
| horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_27,unique_cover1_2_3]) ).
cnf(refute_0_29,plain,
( ~ horizontal_3_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_24,unique_cover1_3_4]) ).
cnf(refute_0_30,plain,
( ~ vertical_3_5
| horizontal_5_4 ),
inference(resolve,[$cnf( vertical_4_5 )],[covered_5_5,unique_cover5_4_5]) ).
cnf(refute_0_31,plain,
( horizontal_3_4
| horizontal_5_4
| vertical_2_5 ),
inference(resolve,[$cnf( vertical_3_5 )],[covered_3_5,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ horizontal_2_4
| horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[$cnf( vertical_2_5 )],[refute_0_31,unique_cover4_2_5]) ).
cnf(refute_0_33,plain,
( ~ vertical_2_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_24,unique_cover5_3_4]) ).
cnf(refute_0_34,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| vertical_1_4 ),
inference(resolve,[$cnf( vertical_2_4 )],[covered_2_4,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ horizontal_1_4
| horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_1_4 )],[refute_0_34,unique_cover1_1_4]) ).
cnf(refute_0_36,plain,
( ~ vertical_1_5
| horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[$cnf( vertical_2_5 )],[refute_0_31,unique_cover5_2_5]) ).
cnf(refute_0_37,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[$cnf( vertical_1_5 )],[covered_1_5,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ horizontal_5_3
| horizontal_1_4
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_37,unique_cover2_5_4]) ).
cnf(refute_0_39,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_21,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_39,unique_cover2_5_2]) ).
cnf(refute_0_41,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_40]) ).
cnf(refute_0_42,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_41,refute_0_3]) ).
cnf(refute_0_43,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_42,refute_0_29]) ).
cnf(refute_0_44,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_43,unique_cover2_5_2]) ).
cnf(refute_0_45,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_44]) ).
cnf(refute_0_46,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_45,refute_0_22]) ).
cnf(refute_0_47,plain,
( ~ horizontal_5_3
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_46,unique_cover2_5_4]) ).
cnf(refute_0_48,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_21,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_48,unique_cover2_5_2]) ).
cnf(refute_0_50,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ horizontal_4_2
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_50,unique_cover2_4_3]) ).
cnf(refute_0_52,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_19,refute_0_51]) ).
cnf(refute_0_53,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_52,refute_0_3]) ).
cnf(refute_0_54,plain,
( horizontal_1_4
| horizontal_2_2 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_53,refute_0_16]) ).
cnf(refute_0_55,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_54,refute_0_12]) ).
cnf(refute_0_56,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_55,refute_0_38]) ).
cnf(refute_0_57,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_56,unique_cover2_5_2]) ).
cnf(refute_0_58,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_57]) ).
cnf(refute_0_59,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| vertical_3_4 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_55,refute_0_23]) ).
cnf(refute_0_60,plain,
( ~ horizontal_3_4
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_59,unique_cover1_3_4]) ).
cnf(refute_0_61,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_58,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_61,unique_cover2_5_2]) ).
cnf(refute_0_63,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_62]) ).
cnf(refute_0_64,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_63,refute_0_22]) ).
cnf(refute_0_65,plain,
( ~ horizontal_5_3
| horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_64,unique_cover2_5_4]) ).
cnf(refute_0_66,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_55,refute_0_65]) ).
cnf(refute_0_67,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_66,unique_cover2_5_2]) ).
cnf(refute_0_68,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_67]) ).
cnf(refute_0_69,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_68,refute_0_9]) ).
cnf(refute_0_70,plain,
( ~ horizontal_2_2
| horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_69,unique_cover4_2_3]) ).
cnf(refute_0_71,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_54,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ horizontal_4_3
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( vertical_4_3 )],[covered_5_3,unique_cover1_4_3]) ).
cnf(refute_0_73,plain,
( ~ horizontal_4_4
| horizontal_3_4
| vertical_2_5 ),
inference(resolve,[$cnf( vertical_3_5 )],[covered_3_5,unique_cover6_4_5]) ).
cnf(refute_0_74,plain,
( ~ horizontal_5_4
| horizontal_4_3
| horizontal_4_4
| vertical_3_4 ),
inference(resolve,[$cnf( vertical_4_4 )],[covered_4_4,unique_cover3_5_4]) ).
cnf(refute_0_75,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| vertical_3_4 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_37,refute_0_74]) ).
cnf(refute_0_76,plain,
( ~ horizontal_3_3
| horizontal_1_4
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_75,unique_cover4_3_4]) ).
cnf(refute_0_77,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_71,refute_0_76]) ).
cnf(refute_0_78,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3
| vertical_2_5 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_77,refute_0_73]) ).
cnf(refute_0_79,plain,
( ~ vertical_1_5
| horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3 ),
inference(resolve,[$cnf( vertical_2_5 )],[refute_0_78,unique_cover5_2_5]) ).
cnf(refute_0_80,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3 ),
inference(resolve,[$cnf( vertical_1_5 )],[covered_1_5,refute_0_79]) ).
cnf(refute_0_81,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_80,refute_0_72]) ).
cnf(refute_0_82,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_81,refute_0_38]) ).
cnf(refute_0_83,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_82,unique_cover2_5_2]) ).
cnf(refute_0_84,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ horizontal_3_3
| horizontal_1_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_84,unique_cover2_3_4]) ).
cnf(refute_0_86,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_71,refute_0_85]) ).
cnf(refute_0_87,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_3_2 )],[refute_0_86,refute_0_8]) ).
cnf(refute_0_88,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_87,refute_0_20]) ).
cnf(refute_0_89,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_88,refute_0_38]) ).
cnf(refute_0_90,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_89,unique_cover2_5_2]) ).
cnf(refute_0_91,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_90]) ).
cnf(refute_0_92,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_91,refute_0_3]) ).
cnf(refute_0_93,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| vertical_3_4 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_88,refute_0_23]) ).
cnf(refute_0_94,plain,
( ~ horizontal_3_4
| horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_93,unique_cover1_3_4]) ).
cnf(refute_0_95,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_92,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_95,unique_cover2_5_2]) ).
cnf(refute_0_97,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_96]) ).
cnf(refute_0_98,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_97,refute_0_22]) ).
cnf(refute_0_99,plain,
( ~ horizontal_5_3
| horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_98,unique_cover2_5_4]) ).
cnf(refute_0_100,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_88,refute_0_99]) ).
cnf(refute_0_101,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_100,unique_cover2_5_2]) ).
cnf(refute_0_102,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_101]) ).
cnf(refute_0_103,plain,
( ~ horizontal_4_2
| horizontal_1_4
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_102,unique_cover2_4_3]) ).
cnf(refute_0_104,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_87,refute_0_103]) ).
cnf(refute_0_105,plain,
( horizontal_1_4
| horizontal_3_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_104,refute_0_3]) ).
cnf(refute_0_106,plain,
( ~ horizontal_4_1
| horizontal_5_1 ),
inference(resolve,[$cnf( vertical_4_1 )],[covered_5_1,unique_cover1_4_1]) ).
cnf(refute_0_107,plain,
( ~ horizontal_5_2
| horizontal_4_1
| horizontal_4_2
| vertical_3_2 ),
inference(resolve,[$cnf( vertical_4_2 )],[covered_4_2,unique_cover3_5_2]) ).
cnf(refute_0_108,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_56,refute_0_107]) ).
cnf(refute_0_109,plain,
( ~ horizontal_3_1
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_108,unique_cover4_3_2]) ).
cnf(refute_0_110,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_105,refute_0_109]) ).
cnf(refute_0_111,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_110,refute_0_26]) ).
cnf(refute_0_112,plain,
( ~ horizontal_2_2
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_111,unique_cover4_2_3]) ).
cnf(refute_0_113,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_54,refute_0_112]) ).
cnf(refute_0_114,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_5_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_113,refute_0_106]) ).
cnf(refute_0_115,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_114,refute_0_57]) ).
cnf(refute_0_116,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_115,refute_0_60]) ).
cnf(refute_0_117,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_116,refute_0_107]) ).
cnf(refute_0_118,plain,
( ~ horizontal_3_1
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_117,unique_cover4_3_2]) ).
cnf(refute_0_119,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_105,refute_0_118]) ).
cnf(refute_0_120,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_119,refute_0_22]) ).
cnf(refute_0_121,plain,
( ~ horizontal_5_3
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_120,unique_cover2_5_4]) ).
cnf(refute_0_122,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_55,refute_0_121]) ).
cnf(refute_0_123,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_122,refute_0_107]) ).
cnf(refute_0_124,plain,
( ~ horizontal_3_1
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_123,unique_cover4_3_2]) ).
cnf(refute_0_125,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_105,refute_0_124]) ).
cnf(refute_0_126,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_125,refute_0_9]) ).
cnf(refute_0_127,plain,
( ~ horizontal_2_2
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_126,unique_cover4_2_3]) ).
cnf(refute_0_128,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_54,refute_0_127]) ).
cnf(refute_0_129,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_128,refute_0_26]) ).
cnf(refute_0_130,plain,
( ~ horizontal_2_2
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_129,unique_cover4_2_3]) ).
cnf(refute_0_131,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_54,refute_0_130]) ).
cnf(refute_0_132,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_131,refute_0_106]) ).
cnf(refute_0_133,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_116,unique_cover2_5_2]) ).
cnf(refute_0_134,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_134,refute_0_22]) ).
cnf(refute_0_136,plain,
( ~ horizontal_5_3
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_135,unique_cover2_5_4]) ).
cnf(refute_0_137,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_55,refute_0_136]) ).
cnf(refute_0_138,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_137,unique_cover2_5_2]) ).
cnf(refute_0_139,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_132,refute_0_138]) ).
cnf(refute_0_140,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_139,refute_0_9]) ).
cnf(refute_0_141,plain,
( ~ horizontal_2_2
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_140,unique_cover4_2_3]) ).
cnf(refute_0_142,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_54,refute_0_141]) ).
cnf(refute_0_143,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_142,refute_0_76]) ).
cnf(refute_0_144,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3
| vertical_2_5 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_143,refute_0_73]) ).
cnf(refute_0_145,plain,
( ~ vertical_1_5
| horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3 ),
inference(resolve,[$cnf( vertical_2_5 )],[refute_0_144,unique_cover5_2_5]) ).
cnf(refute_0_146,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3 ),
inference(resolve,[$cnf( vertical_1_5 )],[covered_1_5,refute_0_145]) ).
cnf(refute_0_147,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_146,refute_0_72]) ).
cnf(refute_0_148,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_147,refute_0_38]) ).
cnf(refute_0_149,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_148,unique_cover2_5_2]) ).
cnf(refute_0_150,plain,
( ~ horizontal_4_2
| horizontal_1_4
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_146,unique_cover2_4_3]) ).
cnf(refute_0_151,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_148,refute_0_107]) ).
cnf(refute_0_152,plain,
( ~ horizontal_3_1
| horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_151,unique_cover4_3_2]) ).
cnf(refute_0_153,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_105,refute_0_152]) ).
cnf(refute_0_154,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_153,refute_0_150]) ).
cnf(refute_0_155,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4
| horizontal_5_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_154,refute_0_106]) ).
cnf(refute_0_156,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_155,refute_0_149]) ).
cnf(refute_0_157,plain,
( ~ horizontal_3_3
| horizontal_1_4
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_156,unique_cover2_3_4]) ).
cnf(refute_0_158,plain,
( horizontal_1_4
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_142,refute_0_157]) ).
cnf(refute_0_159,plain,
( ~ horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[$cnf( horizontal_3_2 )],[refute_0_158,unique_cover2_3_2]) ).
cnf(refute_0_160,plain,
horizontal_1_4,
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_105,refute_0_159]) ).
cnf(refute_0_161,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_1_4 )],[refute_0_160,refute_0_35]) ).
cnf(refute_0_162,plain,
( ~ horizontal_5_1
| horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_161,unique_cover2_5_2]) ).
cnf(refute_0_163,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_162]) ).
cnf(refute_0_164,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_163,refute_0_22]) ).
cnf(refute_0_165,plain,
( ~ horizontal_5_3
| horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_164,unique_cover2_5_4]) ).
cnf(refute_0_166,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_21,refute_0_165]) ).
cnf(refute_0_167,plain,
( ~ horizontal_5_1
| horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_166,unique_cover2_5_2]) ).
cnf(refute_0_168,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_167]) ).
cnf(refute_0_169,plain,
( ~ horizontal_4_2
| horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_168,unique_cover2_4_3]) ).
cnf(refute_0_170,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_19,refute_0_169]) ).
cnf(refute_0_171,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_170,refute_0_3]) ).
cnf(refute_0_172,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_171,refute_0_16]) ).
cnf(refute_0_173,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_2_4 )],[refute_0_172,refute_0_32]) ).
cnf(refute_0_174,plain,
( ~ horizontal_5_3
| horizontal_2_2
| horizontal_2_3
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_173,unique_cover2_5_4]) ).
cnf(refute_0_175,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_21,refute_0_174]) ).
cnf(refute_0_176,plain,
( ~ horizontal_5_1
| horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_175,unique_cover2_5_2]) ).
cnf(refute_0_177,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_176]) ).
cnf(refute_0_178,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_177,refute_0_3]) ).
cnf(refute_0_179,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_178,refute_0_29]) ).
cnf(refute_0_180,plain,
( ~ horizontal_5_1
| horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_179,unique_cover2_5_2]) ).
cnf(refute_0_181,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_180]) ).
cnf(refute_0_182,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_181,refute_0_22]) ).
cnf(refute_0_183,plain,
( ~ horizontal_5_3
| horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_182,unique_cover2_5_4]) ).
cnf(refute_0_184,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_21,refute_0_183]) ).
cnf(refute_0_185,plain,
( ~ horizontal_5_1
| horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_184,unique_cover2_5_2]) ).
cnf(refute_0_186,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_185]) ).
cnf(refute_0_187,plain,
( ~ horizontal_4_2
| horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_186,unique_cover2_4_3]) ).
cnf(refute_0_188,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_19,refute_0_187]) ).
cnf(refute_0_189,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_3_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_188,refute_0_3]) ).
cnf(refute_0_190,plain,
( horizontal_2_2
| horizontal_2_3 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_189,refute_0_16]) ).
cnf(refute_0_191,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_2_3 )],[refute_0_190,refute_0_28]) ).
cnf(refute_0_192,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_191,refute_0_3]) ).
cnf(refute_0_193,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_192,refute_0_25]) ).
cnf(refute_0_194,plain,
( ~ horizontal_5_1
| horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_193,unique_cover2_5_2]) ).
cnf(refute_0_195,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_194]) ).
cnf(refute_0_196,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_195,refute_0_22]) ).
cnf(refute_0_197,plain,
( ~ horizontal_5_3
| horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_196,unique_cover2_5_4]) ).
cnf(refute_0_198,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_21,refute_0_197]) ).
cnf(refute_0_199,plain,
( ~ horizontal_5_1
| horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_198,unique_cover2_5_2]) ).
cnf(refute_0_200,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_199]) ).
cnf(refute_0_201,plain,
( ~ horizontal_4_2
| horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_200,unique_cover2_4_3]) ).
cnf(refute_0_202,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_19,refute_0_201]) ).
cnf(refute_0_203,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_202,refute_0_3]) ).
cnf(refute_0_204,plain,
( horizontal_2_2
| horizontal_3_1 ),
inference(resolve,[$cnf( horizontal_3_2 )],[refute_0_203,refute_0_17]) ).
cnf(refute_0_205,plain,
horizontal_2_2,
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_204,refute_0_16]) ).
cnf(refute_0_206,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_12]) ).
cnf(refute_0_207,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| vertical_3_4 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_206,refute_0_23]) ).
cnf(refute_0_208,plain,
( ~ horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_207,unique_cover1_3_4]) ).
cnf(refute_0_209,plain,
( ~ horizontal_3_3
| horizontal_2_3
| horizontal_2_4
| vertical_1_4 ),
inference(resolve,[$cnf( vertical_2_4 )],[covered_2_4,unique_cover6_3_4]) ).
cnf(refute_0_210,plain,
( ~ vertical_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_207,unique_cover5_3_4]) ).
cnf(refute_0_211,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| vertical_1_4 ),
inference(resolve,[$cnf( vertical_2_4 )],[covered_2_4,refute_0_210]) ).
cnf(refute_0_212,plain,
( ~ horizontal_1_4
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_1_4 )],[refute_0_211,unique_cover1_1_4]) ).
cnf(refute_0_213,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_1_4 )],[refute_0_160,refute_0_212]) ).
cnf(refute_0_214,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_213,unique_cover2_5_2]) ).
cnf(refute_0_215,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_214]) ).
cnf(refute_0_216,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_215,refute_0_22]) ).
cnf(refute_0_217,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_216,unique_cover2_5_4]) ).
cnf(refute_0_218,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_206,refute_0_217]) ).
cnf(refute_0_219,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_218,unique_cover2_5_2]) ).
cnf(refute_0_220,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_219]) ).
cnf(refute_0_221,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_220,refute_0_9]) ).
cnf(refute_0_222,plain,
( ~ horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_221,unique_cover4_2_3]) ).
cnf(refute_0_223,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_222]) ).
cnf(refute_0_224,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2
| vertical_1_4 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_223,refute_0_209]) ).
cnf(refute_0_225,plain,
( ~ horizontal_1_4
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[$cnf( vertical_1_4 )],[refute_0_224,unique_cover1_1_4]) ).
cnf(refute_0_226,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_1_4 )],[refute_0_160,refute_0_225]) ).
cnf(refute_0_227,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_3_2 )],[refute_0_226,refute_0_8]) ).
cnf(refute_0_228,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_227,refute_0_20]) ).
cnf(refute_0_229,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| vertical_3_4 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_228,refute_0_23]) ).
cnf(refute_0_230,plain,
( ~ vertical_2_4
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_229,unique_cover5_3_4]) ).
cnf(refute_0_231,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| vertical_1_4 ),
inference(resolve,[$cnf( vertical_2_4 )],[covered_2_4,refute_0_230]) ).
cnf(refute_0_232,plain,
( ~ horizontal_1_4
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_1_4 )],[refute_0_231,unique_cover1_1_4]) ).
cnf(refute_0_233,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_1_4 )],[refute_0_160,refute_0_232]) ).
cnf(refute_0_234,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_233,unique_cover2_5_2]) ).
cnf(refute_0_235,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_234]) ).
cnf(refute_0_236,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_235,refute_0_22]) ).
cnf(refute_0_237,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_236,unique_cover2_5_4]) ).
cnf(refute_0_238,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_228,refute_0_237]) ).
cnf(refute_0_239,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_238,unique_cover2_5_2]) ).
cnf(refute_0_240,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_239]) ).
cnf(refute_0_241,plain,
( ~ horizontal_4_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_240,unique_cover2_4_3]) ).
cnf(refute_0_242,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_227,refute_0_241]) ).
cnf(refute_0_243,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_242,refute_0_3]) ).
cnf(refute_0_244,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_213,refute_0_107]) ).
cnf(refute_0_245,plain,
( ~ horizontal_3_1
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_244,unique_cover4_3_2]) ).
cnf(refute_0_246,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_243,refute_0_245]) ).
cnf(refute_0_247,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_246,refute_0_22]) ).
cnf(refute_0_248,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_247,unique_cover2_5_4]) ).
cnf(refute_0_249,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_206,refute_0_248]) ).
cnf(refute_0_250,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_249,refute_0_107]) ).
cnf(refute_0_251,plain,
( ~ horizontal_3_1
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_250,unique_cover4_3_2]) ).
cnf(refute_0_252,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_243,refute_0_251]) ).
cnf(refute_0_253,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_252,refute_0_9]) ).
cnf(refute_0_254,plain,
( ~ horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_253,unique_cover4_2_3]) ).
cnf(refute_0_255,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_254]) ).
cnf(refute_0_256,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_255,refute_0_26]) ).
cnf(refute_0_257,plain,
( ~ horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_256,unique_cover4_2_3]) ).
cnf(refute_0_258,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_257]) ).
cnf(refute_0_259,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_258,refute_0_106]) ).
cnf(refute_0_260,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_259,refute_0_214]) ).
cnf(refute_0_261,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_260,refute_0_22]) ).
cnf(refute_0_262,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_261,unique_cover2_5_4]) ).
cnf(refute_0_263,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_206,refute_0_262]) ).
cnf(refute_0_264,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_263,unique_cover2_5_2]) ).
cnf(refute_0_265,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_259,refute_0_264]) ).
cnf(refute_0_266,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_265,refute_0_9]) ).
cnf(refute_0_267,plain,
( ~ horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_266,unique_cover4_2_3]) ).
cnf(refute_0_268,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_267]) ).
cnf(refute_0_269,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2
| vertical_1_4 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_268,refute_0_209]) ).
cnf(refute_0_270,plain,
( ~ horizontal_1_4
| horizontal_2_3
| horizontal_2_4
| horizontal_3_2 ),
inference(resolve,[$cnf( vertical_1_4 )],[refute_0_269,unique_cover1_1_4]) ).
cnf(refute_0_271,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_1_4 )],[refute_0_160,refute_0_270]) ).
cnf(refute_0_272,plain,
( ~ horizontal_3_1
| horizontal_2_3
| horizontal_2_4 ),
inference(resolve,[$cnf( horizontal_3_2 )],[refute_0_271,unique_cover2_3_2]) ).
cnf(refute_0_273,plain,
( horizontal_2_3
| horizontal_2_4 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_243,refute_0_272]) ).
cnf(refute_0_274,plain,
( horizontal_2_3
| horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_2_4 )],[refute_0_273,refute_0_32]) ).
cnf(refute_0_275,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_274,unique_cover2_5_4]) ).
cnf(refute_0_276,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_206,refute_0_275]) ).
cnf(refute_0_277,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_276,unique_cover2_5_2]) ).
cnf(refute_0_278,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_277]) ).
cnf(refute_0_279,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_278,refute_0_208]) ).
cnf(refute_0_280,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_279,unique_cover2_5_2]) ).
cnf(refute_0_281,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_280]) ).
cnf(refute_0_282,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_281,refute_0_22]) ).
cnf(refute_0_283,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_282,unique_cover2_5_4]) ).
cnf(refute_0_284,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_206,refute_0_283]) ).
cnf(refute_0_285,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_284,unique_cover2_5_2]) ).
cnf(refute_0_286,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_285]) ).
cnf(refute_0_287,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_286,refute_0_9]) ).
cnf(refute_0_288,plain,
( ~ horizontal_2_2
| horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_287,unique_cover4_2_3]) ).
cnf(refute_0_289,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_288]) ).
cnf(refute_0_290,plain,
( horizontal_2_3
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| vertical_3_4 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_274,refute_0_74]) ).
cnf(refute_0_291,plain,
( ~ horizontal_3_3
| horizontal_2_3
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_290,unique_cover4_3_4]) ).
cnf(refute_0_292,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_289,refute_0_291]) ).
cnf(refute_0_293,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3
| vertical_2_5 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_292,refute_0_73]) ).
cnf(refute_0_294,plain,
( ~ horizontal_2_4
| horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3 ),
inference(resolve,[$cnf( vertical_2_5 )],[refute_0_293,unique_cover4_2_5]) ).
cnf(refute_0_295,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_2_4 )],[refute_0_273,refute_0_294]) ).
cnf(refute_0_296,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_295,refute_0_72]) ).
cnf(refute_0_297,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_296,refute_0_275]) ).
cnf(refute_0_298,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_297,unique_cover2_5_2]) ).
cnf(refute_0_299,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_298]) ).
cnf(refute_0_300,plain,
( ~ horizontal_3_3
| horizontal_2_3
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_299,unique_cover2_3_4]) ).
cnf(refute_0_301,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_289,refute_0_300]) ).
cnf(refute_0_302,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_3_2 )],[refute_0_301,refute_0_8]) ).
cnf(refute_0_303,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_302,refute_0_20]) ).
cnf(refute_0_304,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_303,refute_0_275]) ).
cnf(refute_0_305,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_304,unique_cover2_5_2]) ).
cnf(refute_0_306,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_305]) ).
cnf(refute_0_307,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_306,refute_0_3]) ).
cnf(refute_0_308,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| vertical_3_4 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_303,refute_0_23]) ).
cnf(refute_0_309,plain,
( ~ horizontal_3_4
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( vertical_3_4 )],[refute_0_308,unique_cover1_3_4]) ).
cnf(refute_0_310,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_307,refute_0_309]) ).
cnf(refute_0_311,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_310,unique_cover2_5_2]) ).
cnf(refute_0_312,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_311]) ).
cnf(refute_0_313,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_312,refute_0_22]) ).
cnf(refute_0_314,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_313,unique_cover2_5_4]) ).
cnf(refute_0_315,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_303,refute_0_314]) ).
cnf(refute_0_316,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_315,unique_cover2_5_2]) ).
cnf(refute_0_317,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_5,refute_0_316]) ).
cnf(refute_0_318,plain,
( ~ horizontal_4_2
| horizontal_2_3
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_317,unique_cover2_4_3]) ).
cnf(refute_0_319,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_302,refute_0_318]) ).
cnf(refute_0_320,plain,
( horizontal_2_3
| horizontal_3_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_319,refute_0_3]) ).
cnf(refute_0_321,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_276,refute_0_107]) ).
cnf(refute_0_322,plain,
( ~ horizontal_3_1
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_321,unique_cover4_3_2]) ).
cnf(refute_0_323,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_320,refute_0_322]) ).
cnf(refute_0_324,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_323,refute_0_26]) ).
cnf(refute_0_325,plain,
( ~ horizontal_2_2
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_324,unique_cover4_2_3]) ).
cnf(refute_0_326,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_325]) ).
cnf(refute_0_327,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_5_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_326,refute_0_106]) ).
cnf(refute_0_328,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_327,refute_0_277]) ).
cnf(refute_0_329,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_328,refute_0_208]) ).
cnf(refute_0_330,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_329,refute_0_107]) ).
cnf(refute_0_331,plain,
( ~ horizontal_3_1
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_330,unique_cover4_3_2]) ).
cnf(refute_0_332,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_320,refute_0_331]) ).
cnf(refute_0_333,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_332,refute_0_22]) ).
cnf(refute_0_334,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_333,unique_cover2_5_4]) ).
cnf(refute_0_335,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_206,refute_0_334]) ).
cnf(refute_0_336,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_335,refute_0_107]) ).
cnf(refute_0_337,plain,
( ~ horizontal_3_1
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_336,unique_cover4_3_2]) ).
cnf(refute_0_338,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_320,refute_0_337]) ).
cnf(refute_0_339,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_338,refute_0_9]) ).
cnf(refute_0_340,plain,
( ~ horizontal_2_2
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_339,unique_cover4_2_3]) ).
cnf(refute_0_341,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_340]) ).
cnf(refute_0_342,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_341,refute_0_26]) ).
cnf(refute_0_343,plain,
( ~ horizontal_2_2
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_342,unique_cover4_2_3]) ).
cnf(refute_0_344,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_343]) ).
cnf(refute_0_345,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_5_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_344,refute_0_106]) ).
cnf(refute_0_346,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_329,unique_cover2_5_2]) ).
cnf(refute_0_347,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_4 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_347,refute_0_22]) ).
cnf(refute_0_349,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_4 )],[refute_0_348,unique_cover2_5_4]) ).
cnf(refute_0_350,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_206,refute_0_349]) ).
cnf(refute_0_351,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_350,unique_cover2_5_2]) ).
cnf(refute_0_352,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_345,refute_0_351]) ).
cnf(refute_0_353,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| vertical_2_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_352,refute_0_9]) ).
cnf(refute_0_354,plain,
( ~ horizontal_2_2
| horizontal_2_3
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( vertical_2_3 )],[refute_0_353,unique_cover4_2_3]) ).
cnf(refute_0_355,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_354]) ).
cnf(refute_0_356,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_355,refute_0_291]) ).
cnf(refute_0_357,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3
| vertical_2_5 ),
inference(resolve,[$cnf( horizontal_4_4 )],[refute_0_356,refute_0_73]) ).
cnf(refute_0_358,plain,
( ~ horizontal_2_4
| horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3 ),
inference(resolve,[$cnf( vertical_2_5 )],[refute_0_357,unique_cover4_2_5]) ).
cnf(refute_0_359,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_4_3 ),
inference(resolve,[$cnf( horizontal_2_4 )],[refute_0_273,refute_0_358]) ).
cnf(refute_0_360,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_359,refute_0_72]) ).
cnf(refute_0_361,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_5_2 ),
inference(resolve,[$cnf( horizontal_5_3 )],[refute_0_360,refute_0_275]) ).
cnf(refute_0_362,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_361,unique_cover2_5_2]) ).
cnf(refute_0_363,plain,
( ~ horizontal_4_2
| horizontal_2_3
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_4_3 )],[refute_0_359,unique_cover2_4_3]) ).
cnf(refute_0_364,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2
| vertical_3_2 ),
inference(resolve,[$cnf( horizontal_5_2 )],[refute_0_361,refute_0_107]) ).
cnf(refute_0_365,plain,
( ~ horizontal_3_1
| horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( vertical_3_2 )],[refute_0_364,unique_cover4_3_2]) ).
cnf(refute_0_366,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_320,refute_0_365]) ).
cnf(refute_0_367,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_4_1 ),
inference(resolve,[$cnf( horizontal_4_2 )],[refute_0_366,refute_0_363]) ).
cnf(refute_0_368,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4
| horizontal_5_1 ),
inference(resolve,[$cnf( horizontal_4_1 )],[refute_0_367,refute_0_106]) ).
cnf(refute_0_369,plain,
( horizontal_2_3
| horizontal_3_2
| horizontal_3_4 ),
inference(resolve,[$cnf( horizontal_5_1 )],[refute_0_368,refute_0_362]) ).
cnf(refute_0_370,plain,
( ~ horizontal_3_3
| horizontal_2_3
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_3_4 )],[refute_0_369,unique_cover2_3_4]) ).
cnf(refute_0_371,plain,
( horizontal_2_3
| horizontal_3_2 ),
inference(resolve,[$cnf( horizontal_3_3 )],[refute_0_355,refute_0_370]) ).
cnf(refute_0_372,plain,
( ~ horizontal_3_1
| horizontal_2_3 ),
inference(resolve,[$cnf( horizontal_3_2 )],[refute_0_371,unique_cover2_3_2]) ).
cnf(refute_0_373,plain,
horizontal_2_3,
inference(resolve,[$cnf( horizontal_3_1 )],[refute_0_320,refute_0_372]) ).
cnf(refute_0_374,plain,
~ horizontal_2_2,
inference(resolve,[$cnf( horizontal_2_3 )],[refute_0_373,unique_cover2_2_3]) ).
cnf(refute_0_375,plain,
$false,
inference(resolve,[$cnf( horizontal_2_2 )],[refute_0_205,refute_0_374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 23:05:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.46/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64
% 0.46/0.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.46/0.66
%------------------------------------------------------------------------------