TPTP Problem File: SYN036-2.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN036-2 : TPTP v8.2.0. Bugfixed v1.2.0.
% Domain : Syntactic
% Problem : Andrews Challenge Problem
% Version : Especial.
% Theorem formulation : Corrected.
% English :
% Refs : [DeC79] DeChampeaux (1979), Sub-problem Finder and Instance Ch
% : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% : [And86] Andrews (1986), An Introduction to Mathematical Logic
% : [Pel88] Pelletier (1988), Errata
% Source : [TPTP]
% Names :
% Status : Satisfiable
% Rating : 0.00 v3.5.0, 0.14 v3.4.0, 0.17 v3.3.0, 0.00 v3.1.0, 0.14 v2.7.0, 0.00 v2.6.0, 0.25 v2.5.0, 0.17 v2.4.0, 0.00 v2.2.1, 0.25 v2.2.0, 0.67 v2.1.0, 0.00 v2.0.0
% Syntax : Number of clauses : 128 ( 0 unt; 127 nHn; 8 RR)
% Number of literals : 1024 ( 0 equ; 512 neg)
% Maximal clause size : 8 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-1 aty)
% Number of variables : 512 ( 384 sgn)
% SPC : CNF_SAT_RFO_NEQ
% Comments :
% Bugfixes : v1.2.0 - All clauses replaced, clausified by Otter using a
% new version of the original 1st order form, as given in
% [And86]. The previous clauses were created using the
% "corrected" version in [Pel88], which was still not correct.
%--------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_2,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| big_q(X1)
| big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_3,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_4,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_5,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| ~ big_q(c8)
| big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_6,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| ~ big_q(c8)
| big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_7,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| big_q(c8)
| ~ big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_8,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| big_q(c8)
| ~ big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_9,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_10,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| big_q(X1)
| big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_11,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_12,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_13,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| ~ big_q(c8)
| big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_14,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| ~ big_q(c8)
| big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_15,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| big_q(c8)
| ~ big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_16,negated_conjecture,
( big_p(X)
| big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| big_q(c8)
| ~ big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_17,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_18,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| big_q(X1)
| big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_19,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_20,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_21,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| ~ big_q(c8)
| big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_22,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| ~ big_q(c8)
| big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_23,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| big_q(c8)
| ~ big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_24,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| ~ big_q(U)
| big_q(W)
| big_q(c8)
| ~ big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_25,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_26,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| big_q(X1)
| big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_27,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_28,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_29,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| ~ big_q(c8)
| big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_30,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| ~ big_q(c8)
| big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_31,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| big_q(c8)
| ~ big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_32,negated_conjecture,
( ~ big_p(X)
| ~ big_p(f1(X))
| big_q(c1)
| ~ big_q(c2)
| big_q(c8)
| ~ big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_33,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| big_q(c4)
| big_q(X2)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_34,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| big_q(c4)
| big_q(X2)
| big_q(X1)
| big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_35,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| big_q(c4)
| big_q(X2)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_36,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| big_q(c4)
| big_q(X2)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_37,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| big_q(c4)
| big_q(X2)
| ~ big_q(c8)
| big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_38,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| big_q(c4)
| big_q(X2)
| ~ big_q(c8)
| big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_39,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| big_q(c4)
| big_q(X2)
| big_q(c8)
| ~ big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_40,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| big_q(c4)
| big_q(X2)
| big_q(c8)
| ~ big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_41,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_42,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| big_q(X1)
| big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_43,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_44,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_45,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| ~ big_q(c8)
| big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_46,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| ~ big_q(c8)
| big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_47,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| big_q(c8)
| ~ big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_48,negated_conjecture,
( ~ big_p(c3)
| big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| big_q(c8)
| ~ big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_49,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| big_q(c4)
| big_q(X2)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_50,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| big_q(c4)
| big_q(X2)
| big_q(X1)
| big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_51,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| big_q(c4)
| big_q(X2)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_52,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| big_q(c4)
| big_q(X2)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_53,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| big_q(c4)
| big_q(X2)
| ~ big_q(c8)
| big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_54,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| big_q(c4)
| big_q(X2)
| ~ big_q(c8)
| big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_55,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| big_q(c4)
| big_q(X2)
| big_q(c8)
| ~ big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_56,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| big_q(c4)
| big_q(X2)
| big_q(c8)
| ~ big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_57,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_58,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| big_q(X1)
| big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_59,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| ~ big_p(U1)
| big_q(W1) ) ).
cnf(clause_60,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_q(f2(X1))
| big_p(c6)
| ~ big_q(c7) ) ).
cnf(clause_61,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| ~ big_q(c8)
| big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_62,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| ~ big_q(c8)
| big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_63,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| big_q(c8)
| ~ big_q(Y1)
| big_p(c9)
| big_q(X4) ) ).
cnf(clause_64,negated_conjecture,
( big_p(c3)
| ~ big_p(Y)
| ~ big_q(X3)
| ~ big_q(c5)
| big_q(c8)
| ~ big_q(Y1)
| ~ big_p(X5)
| ~ big_q(c10) ) ).
cnf(clause_65,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| ~ big_q(c16)
| big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_66,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| ~ big_q(c16)
| big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_67,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| big_q(c16)
| ~ big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_68,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| big_q(c16)
| ~ big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_69,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| big_q(X15)
| big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_70,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| big_q(X15)
| big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_71,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_72,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_73,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| ~ big_q(c16)
| big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_74,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| ~ big_q(c16)
| big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_75,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| big_q(c16)
| ~ big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_76,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| big_q(c16)
| ~ big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_77,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| big_q(X15)
| big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_78,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| big_q(X15)
| big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_79,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_80,negated_conjecture,
( ~ big_p(c11)
| big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_81,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| ~ big_q(c16)
| big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_82,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| ~ big_q(c16)
| big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_83,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| big_q(c16)
| ~ big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_84,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| big_q(c16)
| ~ big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_85,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| big_q(X15)
| big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_86,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| big_q(X15)
| big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_87,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_88,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| ~ big_q(X7)
| big_q(X8)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_89,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| ~ big_q(c16)
| big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_90,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| ~ big_q(c16)
| big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_91,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| big_q(c16)
| ~ big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_92,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| big_q(c16)
| ~ big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_93,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| big_q(X15)
| big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_94,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| big_q(X15)
| big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_95,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_96,negated_conjecture,
( big_p(c11)
| ~ big_p(X6)
| big_q(c12)
| ~ big_q(c13)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_97,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| ~ big_q(c16)
| big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_98,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| ~ big_q(c16)
| big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_99,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| big_q(c16)
| ~ big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_100,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| big_q(c16)
| ~ big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_101,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| big_q(X15)
| big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_102,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| big_q(X15)
| big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_103,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_104,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_105,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| ~ big_q(c16)
| big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_106,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| ~ big_q(c16)
| big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_107,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| big_q(c16)
| ~ big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_108,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| big_q(c16)
| ~ big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_109,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| big_q(X15)
| big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_110,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| big_q(X15)
| big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_111,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_112,negated_conjecture,
( big_p(X9)
| big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_113,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| ~ big_q(c16)
| big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_114,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| ~ big_q(c16)
| big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_115,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| big_q(c16)
| ~ big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_116,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| big_q(c16)
| ~ big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_117,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| big_q(X15)
| big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_118,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| big_q(X15)
| big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_119,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_120,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| big_q(c14)
| big_q(X10)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_121,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| ~ big_q(c16)
| big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_122,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| ~ big_q(c16)
| big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_123,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| big_q(c16)
| ~ big_q(X12)
| ~ big_p(X13)
| big_q(X14) ) ).
cnf(clause_124,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| big_q(c16)
| ~ big_q(X12)
| big_p(c17)
| ~ big_q(c18) ) ).
cnf(clause_125,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| big_q(X15)
| big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_126,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| big_q(X15)
| big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
cnf(clause_127,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| big_p(c19)
| big_q(X16) ) ).
cnf(clause_128,negated_conjecture,
( ~ big_p(X9)
| ~ big_p(f3(X9))
| ~ big_q(X11)
| ~ big_q(c15)
| ~ big_q(X15)
| ~ big_q(f4(X15))
| ~ big_p(X17)
| ~ big_q(c20) ) ).
%--------------------------------------------------------------------------