TPTP Problem File: SYN698-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN698-1 : TPTP v8.2.0. Released v2.5.0.
% Domain : Syntactic
% Problem : Harrison problem 4650
% Version : Especial.
% English :
% Refs : [Har01] Email to G. Sutcliffe
% Source : [Har01]
% Names :
% Status : Unsatisfiable
% Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.4.0, 0.17 v7.0.0, 0.00 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.18 v5.0.0, 0.36 v4.1.0, 0.25 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0
% Syntax : Number of clauses : 74 ( 31 unt; 2 nHn; 64 RR)
% Number of literals : 156 ( 0 equ; 82 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 18 ( 18 usr; 0 prp; 1-3 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-2 aty)
% Number of variables : 132 ( 5 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments :
%--------------------------------------------------------------------------
cnf(c34_is_p25_1,negated_conjecture,
p25(c34) ).
cnf(c36_is_p29_2,negated_conjecture,
p29(c36) ).
cnf(f18_is_p30_3,negated_conjecture,
p30(f18(c41)) ).
cnf(f16_is_p28_4,negated_conjecture,
p28(f16(c38)) ).
cnf(f16_is_p28_5,negated_conjecture,
p28(f16(c39)) ).
cnf(f18_is_p30_6,negated_conjecture,
p30(f18(c40)) ).
cnf(p10_7,negated_conjecture,
p10(X5,X5) ).
cnf(p7_8,negated_conjecture,
p7(X112,X112) ).
cnf(p6_9,negated_conjecture,
p6(X109,X109) ).
cnf(p3_10,negated_conjecture,
p3(X88,X88) ).
cnf(p21_11,negated_conjecture,
p21(X68,X68) ).
cnf(p2_12,negated_conjecture,
p2(X43,X43) ).
cnf(p17_13,negated_conjecture,
p17(X28,X28) ).
cnf(p14_14,negated_conjecture,
p14(X19,X19) ).
cnf(p12_15,negated_conjecture,
p12(X12,X12) ).
cnf(p10_16,negated_conjecture,
p10(c45,c48) ).
cnf(p31_17,negated_conjecture,
p31(c47,c42) ).
cnf(p2_18,negated_conjecture,
p2(c44,c46) ).
cnf(p31_19,negated_conjecture,
p31(c46,f5(c42)) ).
cnf(p2_20,negated_conjecture,
p2(c47,f9(c37)) ).
cnf(p31_21,negated_conjecture,
p31(c44,f5(c42)) ).
cnf(p7_22,negated_conjecture,
p7(f8(c35),c36) ).
cnf(p32_23,negated_conjecture,
p32(f22(c34,c45),c43) ).
cnf(p31_24,negated_conjecture,
p31(f23(c44,f9(f20(c37))),c46) ).
cnf(p26_25,negated_conjecture,
p26(c34,f4(f5(X79)),f4(X79)) ).
cnf(p25_26,negated_conjecture,
( p25(X71)
| ~ p25(X72)
| ~ p21(X72,X71) ) ).
cnf(p30_27,negated_conjecture,
( p30(X93)
| ~ p30(X94)
| ~ p17(X94,X93) ) ).
cnf(p29_28,negated_conjecture,
( p29(X86)
| ~ p29(X87)
| ~ p7(X87,X86) ) ).
cnf(p28_29,negated_conjecture,
( p28(X84)
| ~ p28(X85)
| ~ p14(X85,X84) ) ).
cnf(p7_30,negated_conjecture,
( p7(f8(X115),f8(X116))
| ~ p6(X115,X116) ) ).
cnf(p14_31,negated_conjecture,
( p14(f16(X26),f16(X27))
| ~ p14(X26,X27) ) ).
cnf(p17_32,negated_conjecture,
( p17(f18(X31),f18(X32))
| ~ p17(X31,X32) ) ).
cnf(p2_33,negated_conjecture,
( p2(f20(X56),f20(X57))
| ~ p2(X56,X57) ) ).
cnf(p2_34,negated_conjecture,
( p2(f24(X62),f24(X63))
| ~ p2(X62,X63) ) ).
cnf(p2_35,negated_conjecture,
( p2(f5(X64),f5(X65))
| ~ p2(X64,X65) ) ).
cnf(p2_36,negated_conjecture,
( p2(f9(X66),f9(X67))
| ~ p2(X66,X67) ) ).
cnf(p3_37,negated_conjecture,
( p3(f4(X91),f4(X92))
| ~ p2(X91,X92) ) ).
cnf(p10_38,negated_conjecture,
( p10(X6,X7)
| ~ p10(X5,X6)
| ~ p10(X5,X7) ) ).
cnf(p7_39,negated_conjecture,
( p7(X113,X114)
| ~ p7(X112,X113)
| ~ p7(X112,X114) ) ).
cnf(p6_40,negated_conjecture,
( p6(X110,X111)
| ~ p6(X109,X110)
| ~ p6(X109,X111) ) ).
cnf(p3_41,negated_conjecture,
( p3(X89,X90)
| ~ p3(X88,X89)
| ~ p3(X88,X90) ) ).
cnf(p21_42,negated_conjecture,
( p21(X69,X70)
| ~ p21(X68,X69)
| ~ p21(X68,X70) ) ).
cnf(p2_43,negated_conjecture,
( p2(X44,X45)
| ~ p2(X43,X44)
| ~ p2(X43,X45) ) ).
cnf(p17_44,negated_conjecture,
( p17(X29,X30)
| ~ p17(X28,X29)
| ~ p17(X28,X30) ) ).
cnf(p14_45,negated_conjecture,
( p14(X20,X21)
| ~ p14(X19,X20)
| ~ p14(X19,X21) ) ).
cnf(p12_46,negated_conjecture,
( p12(X13,X14)
| ~ p12(X12,X13)
| ~ p12(X12,X14) ) ).
cnf(p33_47,negated_conjecture,
p33(f11(f4(f5(c42)),c45),f11(f4(c42),c45)) ).
cnf(p31_48,negated_conjecture,
( p31(X95,f24(X95))
| ~ p31(X95,c44)
| ~ p31(X95,f5(c42)) ) ).
cnf(p31_49,negated_conjecture,
( p31(f24(X95),f5(c42))
| ~ p31(X95,c44)
| ~ p31(X95,f5(c42)) ) ).
cnf(p33_50,negated_conjecture,
( p33(X105,X106)
| ~ p2(X108,X106)
| ~ p33(X107,X108)
| ~ p2(X107,X105) ) ).
cnf(p27_51,negated_conjecture,
( p27(X80,X81)
| ~ p14(X83,X80)
| ~ p27(X83,X82)
| ~ p12(X82,X81) ) ).
cnf(p31_52,negated_conjecture,
( p31(X96,X97)
| ~ p2(X99,X97)
| ~ p31(X98,X99)
| ~ p2(X98,X96) ) ).
cnf(p32_53,negated_conjecture,
( p32(X100,X101)
| ~ p17(X103,X100)
| ~ p32(X103,X102)
| ~ p10(X102,X101) ) ).
cnf(p2_54,negated_conjecture,
p2(f11(f4(c47),c48),f19(f11(f4(c42),c48),f9(f20(c37)))) ).
cnf(p31_55,negated_conjecture,
p31(f11(f4(c42),c45),f11(f4(f23(c42,f9(f20(c37)))),c45)) ).
cnf(p2_56,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ).
cnf(not_p2_57,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ).
cnf(p10_58,negated_conjecture,
( p10(X0,c43)
| ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ) ).
cnf(p12_59,negated_conjecture,
( p12(f13(X15,X16),f13(X17,X18))
| ~ p10(X15,X17)
| ~ p2(X16,X18) ) ).
cnf(p2_60,negated_conjecture,
( p2(f23(X58,X59),f23(X60,X61))
| ~ p2(X58,X60)
| ~ p2(X59,X61) ) ).
cnf(p2_61,negated_conjecture,
( p2(f19(X52,X53),f19(X54,X55))
| ~ p2(X52,X54)
| ~ p2(X53,X55) ) ).
cnf(p2_62,negated_conjecture,
( p2(f11(X46,X47),f11(X48,X49))
| ~ p10(X47,X49)
| ~ p3(X46,X48) ) ).
cnf(p17_63,negated_conjecture,
( p17(f22(X33,X34),f22(X35,X36))
| ~ p10(X34,X36)
| ~ p21(X33,X35) ) ).
cnf(p14_64,negated_conjecture,
( p14(f15(X22,X23),f15(X24,X25))
| ~ p12(X23,X25)
| ~ p7(X22,X24) ) ).
cnf(p2_65,negated_conjecture,
p2(f19(f11(f4(f5(c42)),c43),f9(f20(c37))),f11(f4(c42),c43)) ).
cnf(p32_66,negated_conjecture,
( p32(f22(c34,X104),c43)
| ~ p33(f11(f4(f5(c42)),X104),f11(f4(c42),X104)) ) ).
cnf(p2_67,negated_conjecture,
( p2(f11(f4(X51),c48),f11(f4(c47),c48))
| ~ p31(X51,c42)
| ~ p31(c47,X51) ) ).
cnf(p2_68,negated_conjecture,
( p2(f11(f4(X50),c43),f11(f4(c44),c43))
| ~ p31(c44,X50)
| ~ p31(X50,f5(c42)) ) ).
cnf(p10_69,negated_conjecture,
( p10(X1,X2)
| p32(f22(c34,X1),X2)
| ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
cnf(not_p31_70,negated_conjecture,
( ~ p31(X95,c44)
| ~ p31(X95,f5(c42))
| ~ p2(f11(f4(f24(X95)),c43),f11(f4(X95),c43)) ) ).
cnf(p26_71,negated_conjecture,
( p26(X73,X74,X75)
| ~ p3(X78,X75)
| ~ p3(X77,X74)
| ~ p21(X76,X73)
| ~ p26(X76,X77,X78) ) ).
cnf(p10_72,negated_conjecture,
( p10(X8,X9)
| ~ p2(f11(f4(X10),X8),f9(c37))
| ~ p27(f15(c36,f13(X8,X10)),f13(X9,X11)) ) ).
cnf(p2_73,negated_conjecture,
( p2(X37,X38)
| ~ p27(f15(c36,f13(X39,X37)),f13(X40,X41))
| ~ p27(f15(c36,f13(X42,X38)),f13(X40,X41)) ) ).
cnf(p32_74,negated_conjecture,
( p32(f22(c34,X1),X2)
| p31(f11(f4(X3),X2),f11(f4(X4),X2))
| ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
%--------------------------------------------------------------------------