TPTP Problem File: SYN656-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN656-1 : TPTP v8.2.0. Released v2.5.0.
% Domain : Syntactic
% Problem : Harrison problem 4483
% Version : Especial.
% English :
% Refs : [Har01] Email to G. Sutcliffe
% Source : [Har01]
% Names :
% Status : Unsatisfiable
% Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.00 v2.5.0
% Syntax : Number of clauses : 49 ( 18 unt; 3 nHn; 33 RR)
% Number of literals : 109 ( 0 equ; 59 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 15 ( 15 usr; 0 prp; 2-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 118 ( 2 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments :
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cnf(p11_1,negated_conjecture,
p11(X0,X0) ).
cnf(p9_2,negated_conjecture,
p9(X88,X88) ).
cnf(p8_3,negated_conjecture,
p8(X85,X85) ).
cnf(p6_4,negated_conjecture,
p6(X82,X82) ).
cnf(p4_5,negated_conjecture,
p4(X75,X75) ).
cnf(p3_6,negated_conjecture,
p3(X64,X64) ).
cnf(p22_7,negated_conjecture,
p22(X41,X41) ).
cnf(p20_8,negated_conjecture,
p20(X34,X34) ).
cnf(p2_9,negated_conjecture,
p2(X27,X27) ).
cnf(p18_10,negated_conjecture,
p18(X20,X20) ).
cnf(p16_11,negated_conjecture,
p16(X17,X17) ).
cnf(p14_12,negated_conjecture,
p14(X10,X10) ).
cnf(p12_13,negated_conjecture,
p12(X3,X3) ).
cnf(p24_14,negated_conjecture,
p24(c26,c27) ).
cnf(p24_15,negated_conjecture,
p24(f10(c30,f13(c31,X50)),c27) ).
cnf(not_p25_16,negated_conjecture,
~ p25(f5(f7(c28,c29),X95),X95) ).
cnf(p11_17,negated_conjecture,
( p11(X1,X2)
| ~ p11(X0,X1)
| ~ p11(X0,X2) ) ).
cnf(p9_18,negated_conjecture,
( p9(X89,X90)
| ~ p9(X88,X89)
| ~ p9(X88,X90) ) ).
cnf(p8_19,negated_conjecture,
( p8(X86,X87)
| ~ p8(X85,X86)
| ~ p8(X85,X87) ) ).
cnf(p6_20,negated_conjecture,
( p6(X83,X84)
| ~ p6(X82,X83)
| ~ p6(X82,X84) ) ).
cnf(p4_21,negated_conjecture,
( p4(X76,X77)
| ~ p4(X75,X76)
| ~ p4(X75,X77) ) ).
cnf(p3_22,negated_conjecture,
( p3(X65,X66)
| ~ p3(X64,X65)
| ~ p3(X64,X66) ) ).
cnf(p22_23,negated_conjecture,
( p22(X42,X43)
| ~ p22(X41,X42)
| ~ p22(X41,X43) ) ).
cnf(p20_24,negated_conjecture,
( p20(X35,X36)
| ~ p20(X34,X35)
| ~ p20(X34,X36) ) ).
cnf(p2_25,negated_conjecture,
( p2(X28,X29)
| ~ p2(X27,X28)
| ~ p2(X27,X29) ) ).
cnf(p18_26,negated_conjecture,
( p18(X21,X22)
| ~ p18(X20,X21)
| ~ p18(X20,X22) ) ).
cnf(p16_27,negated_conjecture,
( p16(X18,X19)
| ~ p16(X17,X18)
| ~ p16(X17,X19) ) ).
cnf(p14_28,negated_conjecture,
( p14(X11,X12)
| ~ p14(X10,X11)
| ~ p14(X10,X12) ) ).
cnf(p12_29,negated_conjecture,
( p12(X4,X5)
| ~ p12(X3,X4)
| ~ p12(X3,X5) ) ).
cnf(p24_30,negated_conjecture,
( p24(f10(c30,X48),c27)
| ~ p25(f5(c29,X49),X48) ) ).
cnf(p25_31,negated_conjecture,
p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)) ).
cnf(p25_32,negated_conjecture,
( p25(f5(f7(c28,X55),X56),X57)
| ~ p25(f5(X55,X56),X57) ) ).
cnf(p25_33,negated_conjecture,
( p25(f5(f7(c28,X59),X60),X61)
| ~ p25(f5(X59,X60),X61) ) ).
cnf(p24_34,negated_conjecture,
( p24(X44,X45)
| ~ p4(X47,X45)
| ~ p9(X46,X44)
| ~ p24(X46,X47) ) ).
cnf(p25_35,negated_conjecture,
( p25(X51,X52)
| ~ p3(X54,X52)
| ~ p4(X53,X51)
| ~ p25(X53,X54) ) ).
cnf(p9_36,negated_conjecture,
( p9(f10(X91,X92),f10(X93,X94))
| ~ p3(X92,X94)
| ~ p8(X91,X93) ) ).
cnf(p12_37,negated_conjecture,
( p12(f15(X6,X7),f15(X8,X9))
| ~ p12(X7,X9)
| ~ p14(X6,X8) ) ).
cnf(p14_38,negated_conjecture,
( p14(f17(X13,X14),f17(X15,X16))
| ~ p12(X14,X16)
| ~ p16(X13,X15) ) ).
cnf(p18_39,negated_conjecture,
( p18(f21(X23,X24),f21(X25,X26))
| ~ p20(X23,X25)
| ~ p3(X24,X26) ) ).
cnf(p2_40,negated_conjecture,
( p2(f7(X30,X31),f7(X32,X33))
| ~ p2(X31,X33)
| ~ p6(X30,X32) ) ).
cnf(p20_41,negated_conjecture,
( p20(f23(X37,X38),f23(X39,X40))
| ~ p2(X38,X40)
| ~ p22(X37,X39) ) ).
cnf(p3_42,negated_conjecture,
( p3(f13(X67,X68),f13(X69,X70))
| ~ p11(X67,X69)
| ~ p12(X68,X70) ) ).
cnf(p3_43,negated_conjecture,
( p3(f19(X71,X72),f19(X73,X74))
| ~ p18(X71,X73)
| ~ p3(X72,X74) ) ).
cnf(p4_44,negated_conjecture,
( p4(f5(X78,X79),f5(X80,X81))
| ~ p2(X78,X80)
| ~ p3(X79,X81) ) ).
cnf(not_p25_45,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)) ).
cnf(p25_46,negated_conjecture,
( p25(f5(f7(c28,X55),X56),X57)
| ~ p25(f5(X55,X56),X62)
| ~ p25(f5(f7(c28,X55),X62),X57) ) ).
cnf(p25_47,negated_conjecture,
( p25(f5(X55,X56),X57)
| p25(f5(X55,X56),f19(f21(f23(c36,X55),X56),X57))
| ~ p25(f5(f7(c28,X55),X56),X57) ) ).
cnf(p25_48,negated_conjecture,
( p25(f5(X55,X56),X57)
| p25(f5(f7(c28,X55),f19(f21(f23(c36,X55),X56),X57)),X57)
| ~ p25(f5(f7(c28,X55),X56),X57) ) ).
cnf(p3_49,negated_conjecture,
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63)))
| p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34)) ) ).
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