TPTP Problem File: SYN671-1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SYN671-1 : TPTP v9.0.0. Released v2.5.0.
% Domain : Syntactic
% Problem : Harrison problem 4538
% Version : Especial.
% English :
% Refs : [Har01] Email to G. Sutcliffe
% Source : [Har01]
% Names :
% Status : Unsatisfiable
% Rating : 0.00 v2.5.0
% Syntax : Number of clauses : 54 ( 23 unt; 2 nHn; 44 RR)
% Number of literals : 117 ( 0 equ; 63 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 15 ( 15 usr; 0 prp; 1-3 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-2 aty)
% Number of variables : 110 ( 3 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments :
%--------------------------------------------------------------------------
cnf(c28_is_p22_1,negated_conjecture,
p22(c28) ).
cnf(p10_2,negated_conjecture,
p10(X0,X0) ).
cnf(p7_3,negated_conjecture,
p7(X91,X91) ).
cnf(p6_4,negated_conjecture,
p6(X88,X88) ).
cnf(p3_5,negated_conjecture,
p3(X83,X83) ).
cnf(p20_6,negated_conjecture,
p20(X51,X51) ).
cnf(p2_7,negated_conjecture,
p2(X28,X28) ).
cnf(p19_8,negated_conjecture,
p19(X25,X25) ).
cnf(p14_9,negated_conjecture,
p14(X18,X18) ).
cnf(p12_10,negated_conjecture,
p12(X11,X11) ).
cnf(p25_11,negated_conjecture,
p25(c32,c33) ).
cnf(p25_12,negated_conjecture,
p25(c36,c33) ).
cnf(p25_13,negated_conjecture,
p25(c32,c36) ).
cnf(p7_14,negated_conjecture,
p7(f8(c29),c30) ).
cnf(p26_15,negated_conjecture,
p26(f21(c28,c35),c34) ).
cnf(p26_16,negated_conjecture,
p26(f21(c28,c37),c34) ).
cnf(p23_17,negated_conjecture,
p23(c28,f4(f5(X66)),f4(X66)) ).
cnf(not_p2_18,negated_conjecture,
~ p2(X96,f18(X96,f9(f17(c31)))) ).
cnf(p22_19,negated_conjecture,
( p22(X58)
| ~ p22(X59)
| ~ p19(X59,X58) ) ).
cnf(p2_20,negated_conjecture,
( p2(f17(X41),f17(X42))
| ~ p2(X41,X42) ) ).
cnf(p7_21,negated_conjecture,
( p7(f8(X94),f8(X95))
| ~ p6(X94,X95) ) ).
cnf(p3_22,negated_conjecture,
( p3(f4(X86),f4(X87))
| ~ p2(X86,X87) ) ).
cnf(p2_23,negated_conjecture,
( p2(f9(X49),f9(X50))
| ~ p2(X49,X50) ) ).
cnf(p2_24,negated_conjecture,
( p2(f5(X47),f5(X48))
| ~ p2(X47,X48) ) ).
cnf(p10_25,negated_conjecture,
( p10(X1,X2)
| ~ p10(X0,X1)
| ~ p10(X0,X2) ) ).
cnf(p7_26,negated_conjecture,
( p7(X92,X93)
| ~ p7(X91,X92)
| ~ p7(X91,X93) ) ).
cnf(p6_27,negated_conjecture,
( p6(X89,X90)
| ~ p6(X88,X89)
| ~ p6(X88,X90) ) ).
cnf(p3_28,negated_conjecture,
( p3(X84,X85)
| ~ p3(X83,X84)
| ~ p3(X83,X85) ) ).
cnf(p20_29,negated_conjecture,
( p20(X52,X53)
| ~ p20(X51,X52)
| ~ p20(X51,X53) ) ).
cnf(p2_30,negated_conjecture,
( p2(X29,X30)
| ~ p2(X28,X29)
| ~ p2(X28,X30) ) ).
cnf(p19_31,negated_conjecture,
( p19(X26,X27)
| ~ p19(X25,X26)
| ~ p19(X25,X27) ) ).
cnf(p14_32,negated_conjecture,
( p14(X19,X20)
| ~ p14(X18,X19)
| ~ p14(X18,X20) ) ).
cnf(p12_33,negated_conjecture,
( p12(X12,X13)
| ~ p12(X11,X12)
| ~ p12(X11,X13) ) ).
cnf(p27_34,negated_conjecture,
( p27(X79,X80)
| ~ p2(X82,X80)
| ~ p27(X81,X82)
| ~ p2(X81,X79) ) ).
cnf(p24_35,negated_conjecture,
( p24(X67,X68)
| ~ p14(X70,X67)
| ~ p24(X70,X69)
| ~ p12(X69,X68) ) ).
cnf(p25_36,negated_conjecture,
( p25(X71,X72)
| ~ p2(X74,X72)
| ~ p25(X73,X74)
| ~ p2(X73,X71) ) ).
cnf(p26_37,negated_conjecture,
( p26(X75,X76)
| ~ p20(X78,X75)
| ~ p26(X78,X77)
| ~ p10(X77,X76) ) ).
cnf(p2_38,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))) ).
cnf(p2_39,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))) ).
cnf(p27_40,negated_conjecture,
p27(f11(f4(c36),c37),f11(f4(f16(c36,f9(f17(c31)))),c37)) ).
cnf(p27_41,negated_conjecture,
p27(f11(f4(c33),c35),f11(f4(f16(c33,f9(f17(c31)))),c35)) ).
cnf(not_p2_42,negated_conjecture,
~ p2(f11(f4(f16(c32,f9(f17(c31)))),c34),f11(f4(c32),c34)) ).
cnf(p20_43,negated_conjecture,
( p20(f21(X54,X55),f21(X56,X57))
| ~ p10(X55,X57)
| ~ p19(X54,X56) ) ).
cnf(p12_44,negated_conjecture,
( p12(f13(X14,X15),f13(X16,X17))
| ~ p10(X14,X16)
| ~ p2(X15,X17) ) ).
cnf(p14_45,negated_conjecture,
( p14(f15(X21,X22),f15(X23,X24))
| ~ p12(X22,X24)
| ~ p7(X21,X23) ) ).
cnf(p2_46,negated_conjecture,
( p2(f11(X31,X32),f11(X33,X34))
| ~ p10(X32,X34)
| ~ p3(X31,X33) ) ).
cnf(p2_47,negated_conjecture,
( p2(f16(X37,X38),f16(X39,X40))
| ~ p2(X37,X39)
| ~ p2(X38,X40) ) ).
cnf(p2_48,negated_conjecture,
( p2(f18(X43,X44),f18(X45,X46))
| ~ p2(X43,X45)
| ~ p2(X44,X46) ) ).
cnf(p2_49,negated_conjecture,
( p2(f11(f4(X35),c34),f11(f4(c32),c34))
| ~ p25(X35,c33)
| ~ p25(c32,X35) ) ).
cnf(p2_50,negated_conjecture,
( p2(f11(f4(X36),c34),f11(f4(c32),c34))
| ~ p25(X36,c36)
| ~ p25(c32,X36) ) ).
cnf(p10_51,negated_conjecture,
( p10(X7,X8)
| p26(f21(c28,X7),X8)
| ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ).
cnf(p23_52,negated_conjecture,
( p23(X60,X61,X62)
| ~ p3(X65,X62)
| ~ p3(X64,X61)
| ~ p19(X63,X60)
| ~ p23(X63,X64,X65) ) ).
cnf(p10_53,negated_conjecture,
( p10(X3,X4)
| ~ p2(f11(f4(X5),X3),f9(c31))
| ~ p24(f15(c30,f13(X3,X5)),f13(X4,X6)) ) ).
cnf(p26_54,negated_conjecture,
( p26(f21(c28,X7),X8)
| p25(f11(f4(X9),X8),f11(f4(X10),X8))
| ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ).
%--------------------------------------------------------------------------