TPTP Problem File: SYN673-1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SYN673-1 : TPTP v8.2.0. Released v2.5.0.
% Domain : Syntactic
% Problem : Harrison problem 4552
% 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 v7.0.0, 0.12 v6.3.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.30 v5.3.0, 0.20 v5.2.0, 0.30 v5.1.0, 0.27 v5.0.0, 0.36 v4.1.0, 0.12 v4.0.1, 0.00 v2.7.0, 0.38 v2.6.0, 0.33 v2.5.0
% Syntax : Number of clauses : 55 ( 19 unt; 1 nHn; 39 RR)
% Number of literals : 125 ( 0 equ; 70 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 18 usr; 0 prp; 2-2 aty)
% Number of functors : 24 ( 24 usr; 14 con; 0-2 aty)
% Number of variables : 124 ( 0 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments :
%--------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0) ).
cnf(p9_2,negated_conjecture,
p9(X102,X102) ).
cnf(p7_3,negated_conjecture,
p7(X99,X99) ).
cnf(p6_4,negated_conjecture,
p6(X96,X96) ).
cnf(p4_5,negated_conjecture,
p4(X81,X81) ).
cnf(p3_6,negated_conjecture,
p3(X74,X74) ).
cnf(p25_7,negated_conjecture,
p25(X52,X52) ).
cnf(p23_8,negated_conjecture,
p23(X49,X49) ).
cnf(p20_9,negated_conjecture,
p20(X42,X42) ).
cnf(p2_10,negated_conjecture,
p2(X39,X39) ).
cnf(p18_11,negated_conjecture,
p18(X36,X36) ).
cnf(p16_12,negated_conjecture,
p16(X29,X29) ).
cnf(p15_13,negated_conjecture,
p15(X26,X26) ).
cnf(p13_14,negated_conjecture,
p13(X19,X19) ).
cnf(p11_15,negated_conjecture,
p11(X12,X12) ).
cnf(p10_16,negated_conjecture,
p10(f14(f19(c35,X7),c41),X7) ).
cnf(not_p29_17,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38) ).
cnf(p29_18,negated_conjecture,
( p29(X60,X59)
| ~ p27(f12(c32,X59),X60) ) ).
cnf(p27_19,negated_conjecture,
( p27(f12(c32,X59),X60)
| ~ p29(X60,X59) ) ).
cnf(p28_20,negated_conjecture,
( p28(f21(c30,X68),c31)
| ~ p16(X68,c40) ) ).
cnf(p27_21,negated_conjecture,
p27(f12(c32,c37),f5(c33,f8(c34,c30))) ).
cnf(p10_22,negated_conjecture,
( p10(X1,X2)
| ~ p10(X0,X1)
| ~ p10(X0,X2) ) ).
cnf(p9_23,negated_conjecture,
( p9(X103,X104)
| ~ p9(X102,X103)
| ~ p9(X102,X104) ) ).
cnf(p7_24,negated_conjecture,
( p7(X100,X101)
| ~ p7(X99,X100)
| ~ p7(X99,X101) ) ).
cnf(p6_25,negated_conjecture,
( p6(X97,X98)
| ~ p6(X96,X97)
| ~ p6(X96,X98) ) ).
cnf(p4_26,negated_conjecture,
( p4(X82,X83)
| ~ p4(X81,X82)
| ~ p4(X81,X83) ) ).
cnf(p3_27,negated_conjecture,
( p3(X75,X76)
| ~ p3(X74,X75)
| ~ p3(X74,X76) ) ).
cnf(p25_28,negated_conjecture,
( p25(X53,X54)
| ~ p25(X52,X53)
| ~ p25(X52,X54) ) ).
cnf(p23_29,negated_conjecture,
( p23(X50,X51)
| ~ p23(X49,X50)
| ~ p23(X49,X51) ) ).
cnf(p20_30,negated_conjecture,
( p20(X43,X44)
| ~ p20(X42,X43)
| ~ p20(X42,X44) ) ).
cnf(p2_31,negated_conjecture,
( p2(X40,X41)
| ~ p2(X39,X40)
| ~ p2(X39,X41) ) ).
cnf(p18_32,negated_conjecture,
( p18(X37,X38)
| ~ p18(X36,X37)
| ~ p18(X36,X38) ) ).
cnf(p16_33,negated_conjecture,
( p16(X30,X31)
| ~ p16(X29,X30)
| ~ p16(X29,X31) ) ).
cnf(p15_34,negated_conjecture,
( p15(X27,X28)
| ~ p15(X26,X27)
| ~ p15(X26,X28) ) ).
cnf(p13_35,negated_conjecture,
( p13(X20,X21)
| ~ p13(X19,X20)
| ~ p13(X19,X21) ) ).
cnf(p11_36,negated_conjecture,
( p11(X13,X14)
| ~ p11(X12,X13)
| ~ p11(X12,X14) ) ).
cnf(p28_37,negated_conjecture,
( p28(f21(c30,X68),c31)
| ~ p29(f24(c42,X68),c39) ) ).
cnf(p29_38,negated_conjecture,
( p29(X69,X70)
| ~ p29(X72,X71)
| ~ p4(X72,X69)
| ~ p10(X71,X70) ) ).
cnf(p27_39,negated_conjecture,
( p27(X55,X56)
| ~ p27(X57,X58)
| ~ p4(X58,X56)
| ~ p11(X57,X55) ) ).
cnf(p28_40,negated_conjecture,
( p28(X64,X65)
| ~ p20(X67,X64)
| ~ p28(X67,X66)
| ~ p16(X66,X65) ) ).
cnf(p10_41,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))) ).
cnf(p4_42,negated_conjecture,
( p4(f5(X92,X93),f5(X94,X95))
| ~ p2(X92,X94)
| ~ p3(X93,X95) ) ).
cnf(p10_43,negated_conjecture,
( p10(f14(X3,X4),f14(X5,X6))
| ~ p10(X4,X6)
| ~ p13(X3,X5) ) ).
cnf(p10_44,negated_conjecture,
( p10(f17(X8,X9),f17(X10,X11))
| ~ p15(X8,X10)
| ~ p16(X9,X11) ) ).
cnf(p11_45,negated_conjecture,
( p11(f12(X15,X16),f12(X17,X18))
| ~ p10(X16,X18)
| ~ p9(X15,X17) ) ).
cnf(p13_46,negated_conjecture,
( p13(f19(X22,X23),f19(X24,X25))
| ~ p10(X23,X25)
| ~ p18(X22,X24) ) ).
cnf(p16_47,negated_conjecture,
( p16(f26(X32,X33),f26(X34,X35))
| ~ p10(X33,X35)
| ~ p25(X32,X34) ) ).
cnf(p20_48,negated_conjecture,
( p20(f21(X45,X46),f21(X47,X48))
| ~ p16(X46,X48)
| ~ p7(X45,X47) ) ).
cnf(p3_49,negated_conjecture,
( p3(f8(X77,X78),f8(X79,X80))
| ~ p6(X77,X79)
| ~ p7(X78,X80) ) ).
cnf(p4_50,negated_conjecture,
( p4(f22(X84,X85),f22(X86,X87))
| ~ p10(X85,X87)
| ~ p3(X84,X86) ) ).
cnf(p4_51,negated_conjecture,
( p4(f24(X88,X89),f24(X90,X91))
| ~ p16(X89,X91)
| ~ p23(X88,X90) ) ).
cnf(p29_52,negated_conjecture,
( p29(f24(c42,f26(c43,X73)),c39)
| p29(f5(c33,f8(c34,c30)),X73)
| ~ p10(X73,f14(f19(c35,c37),c39)) ) ).
cnf(p29_53,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X73)
| ~ p10(X73,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X73)),c31) ) ).
cnf(p27_54,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X63),f17(c36,c31))),f5(c33,f8(c34,c30)))
| ~ p29(f22(f8(c34,c30),X63),c37) ) ).
cnf(p27_55,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X61),f17(c36,X62))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X62),c31)
| ~ p27(f12(c32,X61),f5(c33,f8(c34,c30))) ) ).
%--------------------------------------------------------------------------