TPTP Problem File: SYN702-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN702-1 : TPTP v9.0.0. Released v2.5.0.
% Domain : Syntactic
% Problem : Harrison problem 4672
% Version : Especial.
% English :
% Refs : [Har01] Email to G. Sutcliffe
% Source : [Har01]
% Names :
% Status : Unsatisfiable
% Rating : 0.00 v8.1.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.00 v5.3.0, 0.10 v5.2.0, 0.00 v2.5.0
% Syntax : Number of clauses : 79 ( 28 unt; 0 nHn; 52 RR)
% Number of literals : 177 ( 0 equ; 99 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 26 ( 26 usr; 0 prp; 2-2 aty)
% Number of functors : 30 ( 30 usr; 10 con; 0-2 aty)
% Number of variables : 215 ( 10 sgn)
% SPC : CNF_UNS_RFO_NEQ_HRN
% Comments :
%--------------------------------------------------------------------------
cnf(p11_1,negated_conjecture,
p11(X0,X0) ).
cnf(p9_2,negated_conjecture,
p9(X167,X167) ).
cnf(p7_3,negated_conjecture,
p7(X162,X162) ).
cnf(p6_4,negated_conjecture,
p6(X155,X155) ).
cnf(p45_5,negated_conjecture,
p45(X144,X144) ).
cnf(p43_6,negated_conjecture,
p43(X137,X137) ).
cnf(p41_7,negated_conjecture,
p41(X130,X130) ).
cnf(p4_8,negated_conjecture,
p4(X119,X119) ).
cnf(p39_9,negated_conjecture,
p39(X112,X112) ).
cnf(p37_10,negated_conjecture,
p37(X105,X105) ).
cnf(p35_11,negated_conjecture,
p35(X102,X102) ).
cnf(p33_12,negated_conjecture,
p33(X95,X95) ).
cnf(p31_13,negated_conjecture,
p31(X88,X88) ).
cnf(p3_14,negated_conjecture,
p3(X77,X77) ).
cnf(p29_15,negated_conjecture,
p29(X70,X70) ).
cnf(p27_16,negated_conjecture,
p27(X58,X58) ).
cnf(p25_17,negated_conjecture,
p25(X55,X55) ).
cnf(p23_18,negated_conjecture,
p23(X48,X48) ).
cnf(p21_19,negated_conjecture,
p21(X41,X41) ).
cnf(p2_20,negated_conjecture,
p2(X38,X38) ).
cnf(p19_21,negated_conjecture,
p19(X31,X31) ).
cnf(p17_22,negated_conjecture,
p17(X28,X28) ).
cnf(p15_23,negated_conjecture,
p15(X21,X21) ).
cnf(p14_24,negated_conjecture,
p14(X14,X14) ).
cnf(p12_25,negated_conjecture,
p12(X7,X7) ).
cnf(p11_26,negated_conjecture,
( p11(X1,X2)
| ~ p11(X0,X1)
| ~ p11(X0,X2) ) ).
cnf(p9_27,negated_conjecture,
( p9(X165,X166)
| ~ p9(X167,X165)
| ~ p9(X167,X166) ) ).
cnf(p7_28,negated_conjecture,
( p7(X163,X164)
| ~ p7(X162,X163)
| ~ p7(X162,X164) ) ).
cnf(p6_29,negated_conjecture,
( p6(X156,X157)
| ~ p6(X155,X156)
| ~ p6(X155,X157) ) ).
cnf(p45_30,negated_conjecture,
( p45(X145,X146)
| ~ p45(X144,X145)
| ~ p45(X144,X146) ) ).
cnf(p43_31,negated_conjecture,
( p43(X138,X139)
| ~ p43(X137,X138)
| ~ p43(X137,X139) ) ).
cnf(p41_32,negated_conjecture,
( p41(X131,X132)
| ~ p41(X130,X131)
| ~ p41(X130,X132) ) ).
cnf(p4_33,negated_conjecture,
( p4(X120,X121)
| ~ p4(X119,X120)
| ~ p4(X119,X121) ) ).
cnf(p39_34,negated_conjecture,
( p39(X113,X114)
| ~ p39(X112,X113)
| ~ p39(X112,X114) ) ).
cnf(p37_35,negated_conjecture,
( p37(X106,X107)
| ~ p37(X105,X106)
| ~ p37(X105,X107) ) ).
cnf(p35_36,negated_conjecture,
( p35(X103,X104)
| ~ p35(X102,X103)
| ~ p35(X102,X104) ) ).
cnf(p33_37,negated_conjecture,
( p33(X96,X97)
| ~ p33(X95,X96)
| ~ p33(X95,X97) ) ).
cnf(p31_38,negated_conjecture,
( p31(X89,X90)
| ~ p31(X88,X89)
| ~ p31(X88,X90) ) ).
cnf(p3_39,negated_conjecture,
( p3(X78,X79)
| ~ p3(X77,X78)
| ~ p3(X77,X79) ) ).
cnf(p29_40,negated_conjecture,
( p29(X71,X72)
| ~ p29(X70,X71)
| ~ p29(X70,X72) ) ).
cnf(p27_41,negated_conjecture,
( p27(X59,X60)
| ~ p27(X58,X59)
| ~ p27(X58,X60) ) ).
cnf(p25_42,negated_conjecture,
( p25(X56,X57)
| ~ p25(X55,X56)
| ~ p25(X55,X57) ) ).
cnf(p23_43,negated_conjecture,
( p23(X49,X50)
| ~ p23(X48,X49)
| ~ p23(X48,X50) ) ).
cnf(p21_44,negated_conjecture,
( p21(X42,X43)
| ~ p21(X41,X42)
| ~ p21(X41,X43) ) ).
cnf(p2_45,negated_conjecture,
( p2(X39,X40)
| ~ p2(X38,X39)
| ~ p2(X38,X40) ) ).
cnf(p19_46,negated_conjecture,
( p19(X32,X33)
| ~ p19(X31,X32)
| ~ p19(X31,X33) ) ).
cnf(p17_47,negated_conjecture,
( p17(X29,X30)
| ~ p17(X28,X29)
| ~ p17(X28,X30) ) ).
cnf(p15_48,negated_conjecture,
( p15(X22,X23)
| ~ p15(X21,X22)
| ~ p15(X21,X23) ) ).
cnf(p14_49,negated_conjecture,
( p14(X15,X16)
| ~ p14(X14,X15)
| ~ p14(X14,X16) ) ).
cnf(p12_50,negated_conjecture,
( p12(X8,X9)
| ~ p12(X7,X8)
| ~ p12(X7,X9) ) ).
cnf(not_p47_51,negated_conjecture,
~ p47(f20(f22(f24(f26(c55,X65),X66),X67),X68),X68) ).
cnf(p47_52,negated_conjecture,
( p47(X151,X152)
| ~ p47(X153,X154)
| ~ p7(X154,X152)
| ~ p4(X153,X151) ) ).
cnf(p11_53,negated_conjecture,
( p11(f16(X3,X4),f16(X5,X6))
| ~ p14(X3,X5)
| ~ p15(X4,X6) ) ).
cnf(p6_54,negated_conjecture,
( p6(f10(X158,X159),f10(X160,X161))
| ~ p3(X159,X161)
| ~ p9(X158,X160) ) ).
cnf(p43_55,negated_conjecture,
( p43(f46(X140,X141),f46(X142,X143))
| ~ p4(X141,X143)
| ~ p45(X140,X142) ) ).
cnf(p41_56,negated_conjecture,
( p41(f44(X133,X134),f44(X135,X136))
| ~ p15(X134,X136)
| ~ p43(X133,X135) ) ).
cnf(p4_57,negated_conjecture,
( p4(f5(X126,X127),f5(X128,X129))
| ~ p2(X126,X128)
| ~ p3(X127,X129) ) ).
cnf(p4_58,negated_conjecture,
( p4(f20(X122,X123),f20(X124,X125))
| ~ p19(X122,X124)
| ~ p7(X123,X125) ) ).
cnf(p39_59,negated_conjecture,
( p39(f42(X115,X116),f42(X117,X118))
| ~ p12(X116,X118)
| ~ p41(X115,X117) ) ).
cnf(p37_60,negated_conjecture,
( p37(f38(X108,X109),f38(X110,X111))
| ~ p12(X108,X110)
| ~ p7(X109,X111) ) ).
cnf(p33_61,negated_conjecture,
( p33(f36(X98,X99),f36(X100,X101))
| ~ p35(X98,X100)
| ~ p4(X99,X101) ) ).
cnf(p31_62,negated_conjecture,
( p31(f34(X91,X92),f34(X93,X94))
| ~ p15(X92,X94)
| ~ p33(X91,X93) ) ).
cnf(p3_63,negated_conjecture,
( p3(f8(X84,X85),f8(X86,X87))
| ~ p6(X84,X86)
| ~ p7(X85,X87) ) ).
cnf(p3_64,negated_conjecture,
( p3(f13(X80,X81),f13(X82,X83))
| ~ p11(X80,X82)
| ~ p12(X81,X83) ) ).
cnf(p29_65,negated_conjecture,
( p29(f32(X73,X74),f32(X75,X76))
| ~ p12(X74,X76)
| ~ p31(X73,X75) ) ).
cnf(p27_66,negated_conjecture,
( p27(f28(X61,X62),f28(X63,X64))
| ~ p15(X61,X63)
| ~ p7(X62,X64) ) ).
cnf(p23_67,negated_conjecture,
( p23(f26(X51,X52),f26(X53,X54))
| ~ p25(X51,X53)
| ~ p4(X52,X54) ) ).
cnf(p21_68,negated_conjecture,
( p21(f24(X44,X45),f24(X46,X47))
| ~ p15(X45,X47)
| ~ p23(X44,X46) ) ).
cnf(p19_69,negated_conjecture,
( p19(f22(X34,X35),f22(X36,X37))
| ~ p12(X35,X37)
| ~ p21(X34,X36) ) ).
cnf(p15_70,negated_conjecture,
( p15(f30(X24,X25),f30(X26,X27))
| ~ p29(X24,X26)
| ~ p7(X25,X27) ) ).
cnf(p14_71,negated_conjecture,
( p14(f18(X17,X18),f18(X19,X20))
| ~ p17(X17,X19)
| ~ p4(X18,X20) ) ).
cnf(p12_72,negated_conjecture,
( p12(f40(X10,X11),f40(X12,X13))
| ~ p39(X10,X12)
| ~ p7(X11,X13) ) ).
cnf(p47_73,negated_conjecture,
( p47(X147,X148)
| ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148) ) ).
cnf(p47_74,negated_conjecture,
( p47(X65,X69)
| ~ p47(f20(f22(f24(f26(c55,X65),X66),X67),X68),X69) ) ).
cnf(p47_75,negated_conjecture,
( p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
| ~ p47(X147,X148) ) ).
cnf(p47_76,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54) ).
cnf(p27_77,negated_conjecture,
( p27(f28(f30(f32(f34(f36(c56,X65),X66),X67),X68),X69),f28(X66,X69))
| ~ p47(f20(f22(f24(f26(c55,X65),X66),X67),X68),X69) ) ).
cnf(p37_78,negated_conjecture,
( p37(f38(f40(f42(f44(f46(c57,X65),X66),X67),X68),X69),f38(X67,X69))
| ~ p47(f20(f22(f24(f26(c55,X65),X66),X67),X68),X69) ) ).
cnf(p3_79,negated_conjecture,
p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c55,X65),X66),X67),X68)),f30(f32(f34(f36(c56,X65),X66),X67),X68)),f40(f42(f44(f46(c57,X65),X66),X67),X68))) ).
%--------------------------------------------------------------------------