TPTP Problem File: SYN076-1.p
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%--------------------------------------------------------------------------
% File : SYN076-1 : TPTP v8.2.0. Released v1.0.0.
% Domain : Syntactic
% Problem : Pelletier Problem 53
% Version : Especial.
% English :
% Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% Source : [Pel86]
% Names : Pelletier 53 [Pel86]
% Status : Unsatisfiable
% Rating : 0.75 v8.2.0, 0.81 v8.1.0, 0.74 v7.4.0, 0.71 v7.3.0, 0.75 v7.0.0, 0.73 v6.4.0, 0.80 v6.3.0, 0.91 v6.2.0, 0.60 v6.1.0, 0.79 v6.0.0, 0.90 v5.5.0, 0.95 v5.3.0, 0.94 v5.0.0, 0.86 v4.1.0, 0.85 v4.0.1, 0.82 v3.7.0, 0.80 v3.5.0, 0.73 v3.4.0, 0.83 v3.3.0, 0.79 v3.2.0, 0.92 v3.1.0, 0.91 v2.7.0, 0.92 v2.6.0, 1.00 v2.0.0
% Syntax : Number of clauses : 34 ( 1 unt; 32 nHn; 19 RR)
% Number of literals : 195 ( 131 equ; 97 neg)
% Maximal clause size : 6 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments :
%--------------------------------------------------------------------------
cnf(clause_1,axiom,
c2 != c1 ).
cnf(clause_2,axiom,
( X1 = c2
| X1 = c1 ) ).
cnf(clause_3,negated_conjecture,
( big_f(X10,f1(X10,X11))
| f1(X10,X11) = X11
| X10 = c3
| big_f(f3(X2,X13),X2)
| f3(X2,X13) = X13
| X2 = c4 ) ).
cnf(clause_4,negated_conjecture,
( big_f(X10,f1(X10,X11))
| f1(X10,X11) = X11
| X10 = c3
| ~ big_f(f3(X2,X13),X2)
| f3(X2,X13) != X13
| X2 = c4 ) ).
cnf(clause_5,negated_conjecture,
( big_f(X10,f1(X10,X11))
| f1(X10,X11) = X11
| X10 = c3
| ~ big_f(X3,X2)
| X3 = f4(X2)
| X2 != c4 ) ).
cnf(clause_6,negated_conjecture,
( big_f(X10,f1(X10,X11))
| f1(X10,X11) = X11
| X10 = c3
| big_f(X3,X2)
| X3 != f4(X2)
| X2 != c4 ) ).
cnf(clause_7,negated_conjecture,
( ~ big_f(X10,f1(X10,X11))
| f1(X10,X11) != X11
| X10 = c3
| big_f(f3(X2,X13),X2)
| f3(X2,X13) = X13
| X2 = c4 ) ).
cnf(clause_8,negated_conjecture,
( ~ big_f(X10,f1(X10,X11))
| f1(X10,X11) != X11
| X10 = c3
| ~ big_f(f3(X2,X13),X2)
| f3(X2,X13) != X13
| X2 = c4 ) ).
cnf(clause_9,negated_conjecture,
( ~ big_f(X10,f1(X10,X11))
| f1(X10,X11) != X11
| X10 = c3
| ~ big_f(X3,X2)
| X3 = f4(X2)
| X2 != c4 ) ).
cnf(clause_10,negated_conjecture,
( ~ big_f(X10,f1(X10,X11))
| f1(X10,X11) != X11
| X10 = c3
| big_f(X3,X2)
| X3 != f4(X2)
| X2 != c4 ) ).
cnf(clause_11,negated_conjecture,
( ~ big_f(X10,X12)
| X12 = f2(X10)
| X10 != c3
| big_f(f3(X2,X13),X2)
| f3(X2,X13) = X13
| X2 = c4 ) ).
cnf(clause_12,negated_conjecture,
( ~ big_f(X10,X12)
| X12 = f2(X10)
| X10 != c3
| ~ big_f(f3(X2,X13),X2)
| f3(X2,X13) != X13
| X2 = c4 ) ).
cnf(clause_13,negated_conjecture,
( ~ big_f(X10,X12)
| X12 = f2(X10)
| X10 != c3
| ~ big_f(X3,X2)
| X3 = f4(X2)
| X2 != c4 ) ).
cnf(clause_14,negated_conjecture,
( ~ big_f(X10,X12)
| X12 = f2(X10)
| X10 != c3
| big_f(X3,X2)
| X3 != f4(X2)
| X2 != c4 ) ).
cnf(clause_15,negated_conjecture,
( big_f(X10,X12)
| X12 != f2(X10)
| X10 != c3
| big_f(f3(X2,X13),X2)
| f3(X2,X13) = X13
| X2 = c4 ) ).
cnf(clause_16,negated_conjecture,
( big_f(X10,X12)
| X12 != f2(X10)
| X10 != c3
| ~ big_f(f3(X2,X13),X2)
| f3(X2,X13) != X13
| X2 = c4 ) ).
cnf(clause_17,negated_conjecture,
( big_f(X10,X12)
| X12 != f2(X10)
| X10 != c3
| ~ big_f(X3,X2)
| X3 = f4(X2)
| X2 != c4 ) ).
cnf(clause_18,negated_conjecture,
( big_f(X10,X12)
| X12 != f2(X10)
| X10 != c3
| big_f(X3,X2)
| X3 != f4(X2)
| X2 != c4 ) ).
cnf(clause_19,negated_conjecture,
( ~ big_f(f7(X4),X5)
| X5 = f5(X4)
| f7(X4) = X4
| ~ big_f(X8,f10(X7))
| X8 = f8(X7)
| f10(X7) = X7 ) ).
cnf(clause_20,negated_conjecture,
( ~ big_f(f7(X4),X5)
| X5 = f5(X4)
| f7(X4) = X4
| big_f(X8,f10(X7))
| X8 != f8(X7)
| f10(X7) = X7 ) ).
cnf(clause_21,negated_conjecture,
( ~ big_f(f7(X4),X5)
| X5 = f5(X4)
| f7(X4) = X4
| big_f(f9(X7,X9),f10(X7))
| f9(X7,X9) = X9
| f10(X7) != X7 ) ).
cnf(clause_22,negated_conjecture,
( ~ big_f(f7(X4),X5)
| X5 = f5(X4)
| f7(X4) = X4
| ~ big_f(f9(X7,X9),f10(X7))
| f9(X7,X9) != X9
| f10(X7) != X7 ) ).
cnf(clause_23,negated_conjecture,
( big_f(f7(X4),X5)
| X5 != f5(X4)
| f7(X4) = X4
| ~ big_f(X8,f10(X7))
| X8 = f8(X7)
| f10(X7) = X7 ) ).
cnf(clause_24,negated_conjecture,
( big_f(f7(X4),X5)
| X5 != f5(X4)
| f7(X4) = X4
| big_f(X8,f10(X7))
| X8 != f8(X7)
| f10(X7) = X7 ) ).
cnf(clause_25,negated_conjecture,
( big_f(f7(X4),X5)
| X5 != f5(X4)
| f7(X4) = X4
| big_f(f9(X7,X9),f10(X7))
| f9(X7,X9) = X9
| f10(X7) != X7 ) ).
cnf(clause_26,negated_conjecture,
( big_f(f7(X4),X5)
| X5 != f5(X4)
| f7(X4) = X4
| ~ big_f(f9(X7,X9),f10(X7))
| f9(X7,X9) != X9
| f10(X7) != X7 ) ).
cnf(clause_27,negated_conjecture,
( big_f(f7(X4),f6(X4,X6))
| f6(X4,X6) = X6
| f7(X4) != X4
| ~ big_f(X8,f10(X7))
| X8 = f8(X7)
| f10(X7) = X7 ) ).
cnf(clause_28,negated_conjecture,
( big_f(f7(X4),f6(X4,X6))
| f6(X4,X6) = X6
| f7(X4) != X4
| big_f(X8,f10(X7))
| X8 != f8(X7)
| f10(X7) = X7 ) ).
cnf(clause_29,negated_conjecture,
( big_f(f7(X4),f6(X4,X6))
| f6(X4,X6) = X6
| f7(X4) != X4
| big_f(f9(X7,X9),f10(X7))
| f9(X7,X9) = X9
| f10(X7) != X7 ) ).
cnf(clause_30,negated_conjecture,
( big_f(f7(X4),f6(X4,X6))
| f6(X4,X6) = X6
| f7(X4) != X4
| ~ big_f(f9(X7,X9),f10(X7))
| f9(X7,X9) != X9
| f10(X7) != X7 ) ).
cnf(clause_31,negated_conjecture,
( ~ big_f(f7(X4),f6(X4,X6))
| f6(X4,X6) != X6
| f7(X4) != X4
| ~ big_f(X8,f10(X7))
| X8 = f8(X7)
| f10(X7) = X7 ) ).
cnf(clause_32,negated_conjecture,
( ~ big_f(f7(X4),f6(X4,X6))
| f6(X4,X6) != X6
| f7(X4) != X4
| big_f(X8,f10(X7))
| X8 != f8(X7)
| f10(X7) = X7 ) ).
cnf(clause_33,negated_conjecture,
( ~ big_f(f7(X4),f6(X4,X6))
| f6(X4,X6) != X6
| f7(X4) != X4
| big_f(f9(X7,X9),f10(X7))
| f9(X7,X9) = X9
| f10(X7) != X7 ) ).
cnf(clause_34,negated_conjecture,
( ~ big_f(f7(X4),f6(X4,X6))
| f6(X4,X6) != X6
| f7(X4) != X4
| ~ big_f(f9(X7,X9),f10(X7))
| f9(X7,X9) != X9
| f10(X7) != X7 ) ).
%--------------------------------------------------------------------------