TPTP Problem File: SYN606-1.p
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- Solve Problem
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% File : SYN606-1 : TPTP v9.0.0. Released v2.5.0.
% Domain : Syntactic
% Problem : Harrison problem 3826
% Version : Especial.
% English :
% Refs : [Har01] Email to G. Sutcliffe
% Source : [Har01]
% Names :
% Status : Unsatisfiable
% Rating : 0.09 v9.0.0, 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.00 v6.1.0, 0.14 v5.5.0, 0.38 v5.4.0, 0.30 v5.1.0, 0.18 v5.0.0, 0.29 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0
% Syntax : Number of clauses : 30 ( 12 unt; 1 nHn; 27 RR)
% Number of literals : 62 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 1 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments :
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cnf(c21_is_not_p16_1,negated_conjecture,
~ p16(c21) ).
cnf(p2_2,negated_conjecture,
p2(X11,X11) ).
cnf(p5_3,negated_conjecture,
p5(X43,X43) ).
cnf(p3_4,negated_conjecture,
p3(X18,X18) ).
cnf(not_p5_5,negated_conjecture,
~ p5(c21,f7(c20)) ).
cnf(p3_6,negated_conjecture,
p3(f12(c22,c21),f15(c22)) ).
cnf(p3_7,negated_conjecture,
p3(f12(f15(c22),c21),c22) ).
cnf(not_p3_8,negated_conjecture,
~ p3(c19,f4(f6(f7(c20)))) ).
cnf(p16_9,negated_conjecture,
( p16(X0)
| ~ p16(X1)
| ~ p5(X1,X0) ) ).
cnf(p5_10,negated_conjecture,
( p5(f8(X48),f8(X49))
| ~ p5(X48,X49) ) ).
cnf(p2_11,negated_conjecture,
( p2(f6(X14),f6(X15))
| ~ p5(X14,X15) ) ).
cnf(p2_12,negated_conjecture,
( p2(f9(X16),f9(X17))
| ~ p3(X16,X17) ) ).
cnf(p3_13,negated_conjecture,
( p3(f13(X33),f13(X34))
| ~ p5(X33,X34) ) ).
cnf(p3_14,negated_conjecture,
( p3(f15(X39),f15(X40))
| ~ p3(X39,X40) ) ).
cnf(p3_15,negated_conjecture,
( p3(f4(X41),f4(X42))
| ~ p2(X41,X42) ) ).
cnf(p5_16,negated_conjecture,
( p5(f7(X46),f7(X47))
| ~ p5(X46,X47) ) ).
cnf(p2_17,negated_conjecture,
( p2(X12,X13)
| ~ p2(X11,X12)
| ~ p2(X11,X13) ) ).
cnf(p5_18,negated_conjecture,
( p5(X44,X45)
| ~ p5(X43,X44)
| ~ p5(X43,X45) ) ).
cnf(p3_19,negated_conjecture,
( p3(X19,X20)
| ~ p3(X18,X19)
| ~ p3(X18,X20) ) ).
cnf(p17_20,negated_conjecture,
( p17(X2,X3)
| ~ p2(X4,X2)
| ~ p2(X5,X3)
| ~ p17(X4,X5) ) ).
cnf(p18_21,negated_conjecture,
( p18(X7,X8)
| ~ p5(X9,X7)
| ~ p5(X10,X8)
| ~ p18(X9,X10) ) ).
cnf(p3_22,negated_conjecture,
p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))) ).
cnf(p17_23,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),c22)),f6(f7(f8(c20)))) ).
cnf(p3_24,negated_conjecture,
( p3(f14(X35,X36),f14(X37,X38))
| ~ p3(X35,X37)
| ~ p3(X36,X38) ) ).
cnf(p3_25,negated_conjecture,
( p3(f10(X21,X22),f10(X23,X24))
| ~ p3(X21,X23)
| ~ p3(X22,X24) ) ).
cnf(p3_26,negated_conjecture,
( p3(f11(X25,X26),f11(X27,X28))
| ~ p3(X25,X27)
| ~ p3(X26,X28) ) ).
cnf(p3_27,negated_conjecture,
( p3(f12(X29,X30),f12(X31,X32))
| ~ p3(X29,X31)
| ~ p5(X30,X32) ) ).
cnf(p3_28,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))) ).
cnf(not_p17_29,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X50,c21))),f6(f7(f8(c20)))) ).
cnf(p5_30,negated_conjecture,
( p5(X6,f7(c20))
| p3(c19,f4(f6(f7(c20))))
| p17(f9(f10(f4(f6(f7(f8(c20)))),f11(c19,f12(f13(X6),X6)))),f6(f7(f8(c20))))
| ~ p18(X6,c21) ) ).
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