TPTP Problem File: NUM420-1.003.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : NUM420-1.003 : TPTP v9.0.0. Released v4.0.0.
% Domain : Logical Deduction
% Problem : Prime 3
% Version : Especial.
% English : These clause sets arise from the analysis of Fuerstenberg's
% topological proof of the infinity of primes by the Ceres-system.
% The k-th clause set expresses the existance of more than k+1
% primes in a way specific to Fuerstenberg's proof.
% Refs : [BH+08] Baaz et al. (2008), CERES: An Analysis of Fuerstenberg
% : [HW08] Hetlz & Woltzenlogel Paleo (2008), Email to G. Sutcliffe
% Source : [HW08]
% Names :
% Status : Unsatisfiable
% Rating : 1.00 v4.0.0
% Syntax : Number of clauses : 256 ( 39 unt; 14 nHn; 204 RR)
% Number of literals : 533 ( 400 equ; 276 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 462 ( 48 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
( ~ less(X1,X2)
| ~ less(X1,X3)
| ~ less(X2,X3)
| plus(X2,times(X4,X3)) != plus(X1,times(X5,X3)) ) ).
cnf(axiom_2,axiom,
( X1 = X2
| less(X1,X2)
| less(X2,X1) ) ).
cnf(axiom_3,axiom,
plus(n0,X1) = X1 ).
cnf(axiom_4,axiom,
( plus(X1,X2) != plus(X1,X3)
| X2 = X3 ) ).
cnf(axiom_5,axiom,
plus(X1,plus(X2,X3)) = plus(plus(X1,X2),X3) ).
cnf(axiom_6,axiom,
plus(X1,X2) = plus(X2,X1) ).
cnf(axiom_7,axiom,
plus(X1,n0) = X1 ).
cnf(axiom_8,axiom,
( plus(X1,X2) != plus(X3,X2)
| X1 = X3 ) ).
cnf(axiom_9,axiom,
plus(plus(X1,X2),X3) = plus(X1,plus(X2,X3)) ).
cnf(axiom_10,axiom,
times(plus(X1,X2),X3) = plus(times(X1,X3),times(X2,X3)) ).
cnf(axiom_11,axiom,
( X1 != plus(X2,X1)
| X2 = n0 ) ).
cnf(axiom_12,axiom,
( X1 != plus(X1,X2)
| X2 = n0 ) ).
cnf(axiom_13,axiom,
( plus(X1,X2) != X1
| X2 = n0 ) ).
cnf(axiom_14,axiom,
( plus(X1,X2) != X2
| X1 = n0 ) ).
cnf(axiom_15,axiom,
( X1 != X2
| plus(X3,X1) = plus(X3,X2) ) ).
cnf(axiom_16,axiom,
plus(n1,plus(X1,n1)) != n1 ).
cnf(axiom_17,axiom,
plus(X1,n1) != n0 ).
cnf(axiom_18,axiom,
times(X1,X2) = times(X2,X1) ).
cnf(axiom_19,axiom,
times(times(X1,X2),X3) = times(X1,times(X2,X3)) ).
cnf(axiom_20,axiom,
times(X1,times(X2,X3)) = times(times(X1,X2),X3) ).
cnf(axiom_21,axiom,
times(X1,n1) = X1 ).
cnf(axiom_22,axiom,
times(n1,X1) = X1 ).
cnf(axiom_23,axiom,
times(X1,plus(X2,X3)) = plus(times(X1,X2),times(X1,X3)) ).
cnf(axiom_24,axiom,
plus(times(X1,X2),times(X1,X3)) = times(X1,plus(X3,X2)) ).
cnf(axiom_25,axiom,
plus(times(X1,X2),times(X3,X2)) = times(plus(X1,X3),X2) ).
cnf(axiom_26,axiom,
plus(times(X1,X2),X1) = times(X1,plus(X2,n1)) ).
cnf(axiom_27,axiom,
( n1 != times(X2,X1)
| X1 = n1 ) ).
cnf(axiom_28,axiom,
times(plus(X1,X2),X3) = plus(times(X2,X3),times(X1,X3)) ).
cnf(axiom_29,axiom,
( n1 != times(X1,X2)
| X1 = n1 ) ).
cnf(axiom_30,axiom,
( ~ less(X1,X2)
| ~ less(X1,X3)
| ~ less(X2,X3)
| plus(X1,times(X4,X3)) != plus(X2,times(X5,X3)) ) ).
cnf(axiom_31,axiom,
less(n0,plus(X1,n1)) ).
cnf(axiom_32,axiom,
( ~ less(plus(X6,n1),X3)
| less(X6,X3) ) ).
cnf(axiom_33,axiom,
( ~ less(n1,X1)
| X1 != n1 ) ).
cnf(axiom_34,axiom,
( ~ less(n1,X1)
| n1 != times(X2,X1) ) ).
% Characteristic clause set
cnf(clause_1,negated_conjecture,
( X7 != plus(n0,times(X8,p__1))
| X7 = plus(n0,times(X8,p__1)) ) ).
cnf(clause_2,negated_conjecture,
( X9 != plus(n0,times(X10,p__1))
| X9 = plus(n0,times(X10,p__1)) ) ).
cnf(clause_3,negated_conjecture,
plus(plus(times(plus(X11,n1),X12),X11),n1) = times(plus(X11,n1),plus(X12,n1)) ).
cnf(clause_4,negated_conjecture,
( ~ less(X13,n0)
| ~ less(n0,p__1)
| ~ less(X13,p__1)
| plus(X13,times(X14,p__1)) != plus(n0,times(X15,p__1)) ) ).
cnf(clause_5,negated_conjecture,
( X13 = n0
| less(X13,n0)
| less(n0,X13) ) ).
cnf(clause_6,negated_conjecture,
( ~ less(n0,p__1)
| less(s_5(p__1,X11),p__1) ) ).
cnf(clause_7,negated_conjecture,
( X9 != plus(n0,times(X16,p__0))
| X9 = plus(n0,times(X16,p__0)) ) ).
cnf(clause_8,negated_conjecture,
( X17 != plus(n0,times(X18,p__1))
| X17 = plus(n0,times(X18,p__1)) ) ).
cnf(clause_9,negated_conjecture,
( X17 != plus(X7,times(X15,times(plus(X11,n1),plus(X12,n1))))
| X17 = plus(X7,times(times(X15,plus(X12,n1)),plus(X11,n1))) ) ).
cnf(clause_10,negated_conjecture,
( X7 != plus(n0,times(X19,p__2))
| X7 = plus(n0,times(X19,p__2)) ) ).
cnf(clause_11,negated_conjecture,
~ element(plus(X17,plus(X9,n1)),X20) ).
cnf(clause_12,negated_conjecture,
( X21 != n1
| X21 = n1 ) ).
cnf(clause_13,negated_conjecture,
~ element(X1,X20) ).
cnf(clause_14,negated_conjecture,
( X9 != plus(n0,times(X22,p__3))
| X9 = plus(n0,times(X22,p__3)) ) ).
cnf(clause_15,negated_conjecture,
plus(plus(times(plus(X11,n1),X12),X11),n1) = times(plus(X11,n1),plus(X12,n1)) ).
cnf(clause_16,negated_conjecture,
( X17 != plus(n0,times(X23,p__2))
| X17 = plus(n0,times(X23,p__2)) ) ).
cnf(clause_17,negated_conjecture,
( X7 != plus(n0,times(X24,p__0))
| X7 = plus(n0,times(X24,p__0)) ) ).
cnf(clause_18,negated_conjecture,
( X17 != plus(X7,times(X15,times(plus(X11,n1),plus(X12,n1))))
| X17 = plus(X7,times(times(X15,plus(X11,n1)),plus(X12,n1))) ) ).
cnf(clause_19,negated_conjecture,
( X17 != plus(X7,times(X15,times(plus(X11,n1),plus(X12,n1))))
| X17 = plus(X7,times(times(X15,plus(X11,n1)),plus(X12,n1))) ) ).
cnf(clause_20,negated_conjecture,
( X25 != n1
| X25 = n1 ) ).
cnf(clause_21,negated_conjecture,
( X7 != plus(n0,times(X26,p__2))
| X7 = plus(n0,times(X26,p__2)) ) ).
cnf(clause_22,negated_conjecture,
( X17 != plus(X7,times(X15,times(plus(X11,n1),plus(X12,n1))))
| X17 = plus(X7,times(times(X15,plus(X12,n1)),plus(X11,n1))) ) ).
cnf(clause_23,negated_conjecture,
( X7 != plus(n0,times(X27,p__1))
| X7 = plus(n0,times(X27,p__1)) ) ).
cnf(clause_24,negated_conjecture,
( X21 != plus(X28,times(X29,plus(X30,n1)))
| X21 = plus(X28,times(X29,plus(X30,n1))) ) ).
cnf(clause_25,negated_conjecture,
( X17 != plus(n0,times(X31,p__3))
| X17 = plus(n0,times(X31,p__3)) ) ).
cnf(clause_26,negated_conjecture,
( X9 != plus(n0,times(X32,p__2))
| X9 = plus(n0,times(X32,p__2)) ) ).
cnf(clause_27,negated_conjecture,
( X17 != plus(n0,times(X33,p__0))
| X17 = plus(n0,times(X33,p__0)) ) ).
cnf(clause_28,negated_conjecture,
( X9 != plus(n0,times(X34,p__1))
| X9 = plus(n0,times(X34,p__1)) ) ).
cnf(clause_29,negated_conjecture,
( X9 != n1
| X9 = n1 ) ).
cnf(clause_30,negated_conjecture,
( X17 != plus(n0,times(X35,p__1))
| X17 = plus(n0,times(X35,p__1)) ) ).
cnf(clause_31,negated_conjecture,
plus(X17,plus(plus(times(X1,plus(X36,plus(n1,n1))),times(X36,plus(X17,n1))),n1)) = plus(X1,times(plus(X1,plus(X17,n1)),plus(X36,n1))) ).
cnf(clause_32,negated_conjecture,
( X9 != plus(n0,times(X37,p__0))
| X9 = plus(n0,times(X37,p__0)) ) ).
cnf(clause_33,negated_conjecture,
( plus(X38,plus(X39,n1)) != n1
| plus(X38,plus(X39,n1)) = n1 ) ).
cnf(clause_34,negated_conjecture,
( X7 != plus(n0,times(X40,p__3))
| X7 = plus(n0,times(X40,p__3)) ) ).
cnf(clause_35,negated_conjecture,
( X9 != plus(n0,times(X41,p__2))
| X9 = plus(n0,times(X41,p__2)) ) ).
cnf(clause_36,negated_conjecture,
( X42 != n1
| X42 = n1 ) ).
cnf(clause_37,negated_conjecture,
( X28 != n1
| X28 = n1 ) ).
cnf(clause_38,negated_conjecture,
( X9 != plus(n0,times(X43,p__1))
| X9 = plus(n0,times(X43,p__1)) ) ).
cnf(clause_39,negated_conjecture,
( X9 != plus(n0,times(X44,p__0))
| X9 = plus(n0,times(X44,p__0)) ) ).
cnf(clause_40,negated_conjecture,
( X9 != n1
| X9 = n1 ) ).
cnf(clause_41,negated_conjecture,
( plus(X17,plus(X9,n1)) != plus(X1,times(X45,plus(X36,n1)))
| plus(X17,plus(X9,n1)) = plus(X1,times(X45,plus(X36,n1))) ) ).
cnf(clause_42,negated_conjecture,
( X9 != plus(n0,times(X46,p__2))
| X9 = plus(n0,times(X46,p__2)) ) ).
cnf(clause_43,negated_conjecture,
plus(n1,plus(X36,n1)) != n1 ).
cnf(clause_44,negated_conjecture,
( X7 != plus(n0,times(X47,p__0))
| X7 = plus(n0,times(X47,p__0)) ) ).
cnf(clause_45,negated_conjecture,
( X17 != plus(n0,times(X48,p__2))
| X17 = plus(n0,times(X48,p__2)) ) ).
cnf(clause_46,negated_conjecture,
( X17 != plus(n0,times(X49,p__0))
| X17 = plus(n0,times(X49,p__0)) ) ).
cnf(clause_47,negated_conjecture,
( X42 != plus(X25,times(X50,plus(X51,n1)))
| X42 = plus(X25,times(X50,plus(X51,n1))) ) ).
cnf(clause_48,negated_conjecture,
( X9 != plus(n0,times(X52,p__1))
| X9 = plus(n0,times(X52,p__1)) ) ).
cnf(clause_49,negated_conjecture,
( X9 != plus(n0,times(X53,p__3))
| X9 = plus(n0,times(X53,p__3)) ) ).
cnf(clause_50,negated_conjecture,
( X17 != plus(n0,times(X54,p__1))
| X17 = plus(n0,times(X54,p__1)) ) ).
cnf(clause_51,negated_conjecture,
( X17 != plus(n0,times(X55,p__0))
| X17 = plus(n0,times(X55,p__0)) ) ).
cnf(clause_52,negated_conjecture,
( X17 != plus(X7,times(X15,times(plus(X11,n1),plus(X12,n1))))
| X17 = plus(X7,times(times(X15,plus(X11,n1)),plus(X12,n1))) ) ).
cnf(clause_53,negated_conjecture,
( X9 != plus(n0,times(X56,p__2))
| X9 = plus(n0,times(X56,p__2)) ) ).
cnf(clause_54,negated_conjecture,
( X57 != n1
| X57 = n1 ) ).
cnf(clause_55,negated_conjecture,
( X9 != plus(n0,times(X58,p__0))
| X9 = plus(n0,times(X58,p__0)) ) ).
cnf(clause_56,negated_conjecture,
( X7 != plus(n0,times(X59,p__1))
| X7 = plus(n0,times(X59,p__1)) ) ).
cnf(clause_57,negated_conjecture,
( X17 != plus(X7,times(X15,times(plus(X11,n1),plus(X12,n1))))
| X17 = plus(X7,times(times(X15,plus(X12,n1)),plus(X11,n1))) ) ).
cnf(clause_58,negated_conjecture,
plus(plus(times(plus(X11,n1),X12),X11),n1) = times(plus(X11,n1),plus(X12,n1)) ).
cnf(clause_59,negated_conjecture,
( X7 != plus(n0,times(X60,p__0))
| X7 = plus(n0,times(X60,p__0)) ) ).
cnf(clause_60,negated_conjecture,
( X9 != plus(n0,times(X61,p__1))
| X9 = plus(n0,times(X61,p__1)) ) ).
cnf(clause_61,negated_conjecture,
( X9 != plus(n0,times(X62,p__0))
| X9 = plus(n0,times(X62,p__0)) ) ).
cnf(clause_62,negated_conjecture,
( X9 != plus(n0,times(X63,p__1))
| X9 = plus(n0,times(X63,p__1)) ) ).
cnf(clause_63,negated_conjecture,
( X9 != plus(n0,times(X64,p__0))
| X9 = plus(n0,times(X64,p__0)) ) ).
cnf(clause_64,negated_conjecture,
( X65 != plus(n0,times(X66,p__0))
| X65 = plus(n0,times(X66,p__0)) ) ).
cnf(clause_65,negated_conjecture,
( X65 != plus(X67,times(X68,plus(X69,n1)))
| X65 = plus(X67,times(X68,plus(X69,n1))) ) ).
cnf(clause_66,negated_conjecture,
( X67 != plus(n0,times(X70,p__0))
| X67 = plus(n0,times(X70,p__0)) ) ).
cnf(clause_67,negated_conjecture,
( ~ less(n0,p__0)
| X11 != plus(X13,times(plus(X14,X15),p__0))
| X11 = plus(X13,times(plus(X14,X15),p__0)) ) ).
cnf(clause_68,negated_conjecture,
( ~ less(n0,p__0)
| plus(times(X14,p__0),times(X15,p__0)) = times(plus(X14,X15),p__0) ) ).
cnf(clause_69,negated_conjecture,
( ~ less(n0,p__0)
| plus(plus(X13,times(X14,p__0)),times(X15,p__0)) = plus(X13,plus(times(X14,p__0),times(X15,p__0))) ) ).
cnf(clause_70,negated_conjecture,
( ~ less(n0,p__0)
| X17 != plus(X13,times(X14,p__0))
| X17 = plus(X13,times(X14,p__0)) ) ).
cnf(clause_71,negated_conjecture,
( ~ less(n0,p__0)
| X13 != n0
| X13 = n0 ) ).
cnf(clause_72,negated_conjecture,
( ~ less(n0,p__0)
| ~ less(X13,p__0)
| less(X13,p__0) ) ).
cnf(clause_73,negated_conjecture,
( ~ less(n0,p__0)
| p__0 = plus(s_7(p__0),n1) ) ).
cnf(clause_74,negated_conjecture,
( ~ less(n0,p__0)
| X11 = plus(s_5(p__0,X11),times(s_6(p__0,X11),p__0)) ) ).
cnf(clause_75,negated_conjecture,
( ~ less(n0,p__0)
| s_5(p__0,X11) != n0
| X11 = plus(n0,times(s_6(p__0,X11),p__0)) ) ).
cnf(clause_76,negated_conjecture,
( ~ less(n0,p__0)
| less(s_5(p__0,X11),p__0) ) ).
cnf(clause_77,negated_conjecture,
( X13 = n0
| less(X13,n0)
| less(n0,X13) ) ).
cnf(clause_78,negated_conjecture,
( ~ less(n0,X13)
| ~ less(n0,p__0)
| ~ less(X13,p__0)
| plus(X13,times(X14,p__0)) != plus(n0,times(X15,p__0)) ) ).
cnf(clause_79,negated_conjecture,
( ~ less(X13,n0)
| ~ less(n0,p__0)
| ~ less(X13,p__0)
| plus(X13,times(X14,p__0)) != plus(n0,times(X15,p__0)) ) ).
cnf(clause_80,negated_conjecture,
( X11 != plus(X13,times(X14,p__0))
| X11 = plus(X13,times(X14,p__0)) ) ).
cnf(clause_81,negated_conjecture,
( ~ less(plus(n0,n1),p__0)
| less(n0,p__0) ) ).
cnf(clause_82,negated_conjecture,
( ~ less(n1,p__0)
| less(n1,p__0) ) ).
cnf(clause_83,negated_conjecture,
plus(n0,n1) = n1 ).
cnf(clause_84,negated_conjecture,
( ~ less(n0,p__1)
| plus(plus(X13,times(X14,p__1)),times(X15,p__1)) = plus(X13,plus(times(X14,p__1),times(X15,p__1))) ) ).
cnf(clause_85,negated_conjecture,
( ~ less(n0,p__1)
| X11 != plus(X13,times(plus(X14,X15),p__1))
| X11 = plus(X13,times(plus(X14,X15),p__1)) ) ).
cnf(clause_86,negated_conjecture,
( ~ less(n0,p__1)
| plus(times(X14,p__1),times(X15,p__1)) = times(plus(X14,X15),p__1) ) ).
cnf(clause_87,negated_conjecture,
( ~ less(n0,p__1)
| X17 != plus(X13,times(X14,p__1))
| X17 = plus(X13,times(X14,p__1)) ) ).
cnf(clause_88,negated_conjecture,
( ~ less(n0,p__1)
| X13 != n0
| X13 = n0 ) ).
cnf(clause_89,negated_conjecture,
( ~ less(n0,p__1)
| p__1 = plus(s_7(p__1),n1) ) ).
cnf(clause_90,negated_conjecture,
( ~ less(n0,p__1)
| ~ less(X13,p__1)
| less(X13,p__1) ) ).
cnf(clause_91,negated_conjecture,
( ~ less(n0,p__1)
| X11 = plus(s_5(p__1,X11),times(s_6(p__1,X11),p__1)) ) ).
cnf(clause_92,negated_conjecture,
( ~ less(n0,p__1)
| s_5(p__1,X11) != n0
| X11 = plus(n0,times(s_6(p__1,X11),p__1)) ) ).
cnf(clause_93,negated_conjecture,
( ~ less(n0,X13)
| ~ less(n0,p__1)
| ~ less(X13,p__1)
| plus(X13,times(X14,p__1)) != plus(n0,times(X15,p__1)) ) ).
cnf(clause_94,negated_conjecture,
( X11 != plus(X13,times(X14,p__1))
| X11 = plus(X13,times(X14,p__1)) ) ).
cnf(clause_95,negated_conjecture,
( ~ less(plus(n0,n1),p__1)
| less(n0,p__1) ) ).
cnf(clause_96,negated_conjecture,
( ~ less(n1,p__1)
| less(n1,p__1) ) ).
cnf(clause_97,negated_conjecture,
plus(n0,n1) = n1 ).
cnf(clause_98,negated_conjecture,
( ~ less(n0,p__2)
| X11 != plus(X13,times(plus(X14,X15),p__2))
| X11 = plus(X13,times(plus(X14,X15),p__2)) ) ).
cnf(clause_99,negated_conjecture,
( ~ less(n0,p__2)
| ~ less(X13,p__2)
| less(X13,p__2) ) ).
cnf(clause_100,negated_conjecture,
( ~ less(n0,p__2)
| plus(times(X14,p__2),times(X15,p__2)) = times(plus(X14,X15),p__2) ) ).
cnf(clause_101,negated_conjecture,
( ~ less(n0,p__2)
| plus(plus(X13,times(X14,p__2)),times(X15,p__2)) = plus(X13,plus(times(X14,p__2),times(X15,p__2))) ) ).
cnf(clause_102,negated_conjecture,
( ~ less(n0,p__2)
| X17 != plus(X13,times(X14,p__2))
| X17 = plus(X13,times(X14,p__2)) ) ).
cnf(clause_103,negated_conjecture,
( ~ less(n0,p__2)
| X13 != n0
| X13 = n0 ) ).
cnf(clause_104,negated_conjecture,
( ~ less(n0,p__2)
| p__2 = plus(s_7(p__2),n1) ) ).
cnf(clause_105,negated_conjecture,
( ~ less(n0,p__2)
| X11 = plus(s_5(p__2,X11),times(s_6(p__2,X11),p__2)) ) ).
cnf(clause_106,negated_conjecture,
( ~ less(X13,n0)
| ~ less(n0,p__2)
| ~ less(X13,p__2)
| plus(X13,times(X14,p__2)) != plus(n0,times(X15,p__2)) ) ).
cnf(clause_107,negated_conjecture,
( ~ less(n0,X13)
| ~ less(n0,p__2)
| ~ less(X13,p__2)
| plus(X13,times(X14,p__2)) != plus(n0,times(X15,p__2)) ) ).
cnf(clause_108,negated_conjecture,
( ~ less(n0,p__2)
| s_5(p__2,X11) != n0
| X11 = plus(n0,times(s_6(p__2,X11),p__2)) ) ).
cnf(clause_109,negated_conjecture,
( ~ less(n0,p__2)
| less(s_5(p__2,X11),p__2) ) ).
cnf(clause_110,negated_conjecture,
( X11 != plus(X13,times(X14,p__2))
| X11 = plus(X13,times(X14,p__2)) ) ).
cnf(clause_111,negated_conjecture,
( X13 = n0
| less(X13,n0)
| less(n0,X13) ) ).
cnf(clause_112,negated_conjecture,
( ~ less(plus(n0,n1),p__2)
| less(n0,p__2) ) ).
cnf(clause_113,negated_conjecture,
( ~ less(n1,p__2)
| less(n1,p__2) ) ).
cnf(clause_114,negated_conjecture,
plus(n0,n1) = n1 ).
cnf(clause_115,negated_conjecture,
( ~ less(n0,p__3)
| plus(plus(X13,times(X14,p__3)),times(X15,p__3)) = plus(X13,plus(times(X14,p__3),times(X15,p__3))) ) ).
cnf(clause_116,negated_conjecture,
( ~ less(n0,p__3)
| X11 != plus(X13,times(plus(X14,X15),p__3))
| X11 = plus(X13,times(plus(X14,X15),p__3)) ) ).
cnf(clause_117,negated_conjecture,
( ~ less(n0,p__3)
| X17 != plus(X13,times(X14,p__3))
| X17 = plus(X13,times(X14,p__3)) ) ).
cnf(clause_118,negated_conjecture,
( ~ less(n0,p__3)
| plus(times(X14,p__3),times(X15,p__3)) = times(plus(X14,X15),p__3) ) ).
cnf(clause_119,negated_conjecture,
( ~ less(n0,p__3)
| ~ less(X13,p__3)
| less(X13,p__3) ) ).
cnf(clause_120,negated_conjecture,
( ~ less(n0,p__3)
| X13 != n0
| X13 = n0 ) ).
cnf(clause_121,negated_conjecture,
( ~ less(n0,p__3)
| p__3 = plus(s_7(p__3),n1) ) ).
cnf(clause_122,negated_conjecture,
( ~ less(n0,p__3)
| X11 = plus(s_5(p__3,X11),times(s_6(p__3,X11),p__3)) ) ).
cnf(clause_123,negated_conjecture,
( ~ less(X13,n0)
| ~ less(n0,p__3)
| ~ less(X13,p__3)
| plus(X13,times(X14,p__3)) != plus(n0,times(X15,p__3)) ) ).
cnf(clause_124,negated_conjecture,
( ~ less(n0,p__3)
| s_5(p__3,X11) != n0
| X11 = plus(n0,times(s_6(p__3,X11),p__3)) ) ).
cnf(clause_125,negated_conjecture,
( ~ less(n0,p__3)
| less(s_5(p__3,X11),p__3) ) ).
cnf(clause_126,negated_conjecture,
( X13 = n0
| less(X13,n0)
| less(n0,X13) ) ).
cnf(clause_127,negated_conjecture,
( ~ less(n0,X13)
| ~ less(n0,p__3)
| ~ less(X13,p__3)
| plus(X13,times(X14,p__3)) != plus(n0,times(X15,p__3)) ) ).
cnf(clause_128,negated_conjecture,
( X11 != plus(X13,times(X14,p__3))
| X11 = plus(X13,times(X14,p__3)) ) ).
cnf(clause_129,negated_conjecture,
( ~ less(plus(n0,n1),p__3)
| less(n0,p__3) ) ).
cnf(clause_130,negated_conjecture,
( ~ less(n1,p__3)
| less(n1,p__3) ) ).
cnf(clause_131,negated_conjecture,
plus(n0,n1) = n1 ).
cnf(clause_132,negated_conjecture,
( X71 != p__3
| X71 = p__3 ) ).
cnf(clause_133,negated_conjecture,
( X71 != n1
| X71 = n1 ) ).
cnf(clause_134,negated_conjecture,
( times(X71,X72) != p__3
| times(X71,X72) = p__3 ) ).
cnf(clause_135,negated_conjecture,
( X73 != p__2
| X73 = p__2 ) ).
cnf(clause_136,negated_conjecture,
( ~ less(n1,p__3)
| less(n1,p__3) ) ).
cnf(clause_137,negated_conjecture,
p__3 = p__3 ).
cnf(clause_138,negated_conjecture,
( X73 != n1
| X73 = n1 ) ).
cnf(clause_139,negated_conjecture,
( times(X73,X74) != p__2
| times(X73,X74) = p__2 ) ).
cnf(clause_140,negated_conjecture,
( X75 != p__1
| X75 = p__1 ) ).
cnf(clause_141,negated_conjecture,
( ~ less(n1,p__2)
| less(n1,p__2) ) ).
cnf(clause_142,negated_conjecture,
p__2 = p__2 ).
cnf(clause_143,negated_conjecture,
( X75 != n1
| X75 = n1 ) ).
cnf(clause_144,negated_conjecture,
( X76 != p__0
| X76 = p__0 ) ).
cnf(clause_145,negated_conjecture,
( times(X75,X77) != p__1
| times(X75,X77) = p__1 ) ).
cnf(clause_146,negated_conjecture,
( ~ less(n1,p__1)
| less(n1,p__1) ) ).
cnf(clause_147,negated_conjecture,
p__1 = p__1 ).
cnf(clause_148,negated_conjecture,
( X76 != n1
| X76 = n1 ) ).
cnf(clause_149,negated_conjecture,
( times(X76,X78) != p__0
| times(X76,X78) = p__0 ) ).
cnf(clause_150,negated_conjecture,
( ~ less(n1,p__0)
| less(n1,p__0) ) ).
cnf(clause_151,negated_conjecture,
p__0 = p__0 ).
cnf(clause_152,negated_conjecture,
( X79 != X11
| X79 = X11 ) ).
cnf(clause_153,negated_conjecture,
( X79 != n1
| X79 = n1 ) ).
cnf(clause_154,negated_conjecture,
( times(X79,X80) != X11
| times(X79,X80) = X11 ) ).
cnf(clause_155,negated_conjecture,
( ~ less(n1,X11)
| less(n1,X11) ) ).
cnf(clause_156,negated_conjecture,
( X11 != p__0
| X11 = p__0 ) ).
cnf(clause_157,negated_conjecture,
( X81 != X11
| X81 = X11 ) ).
cnf(clause_158,negated_conjecture,
( X81 != n1
| X81 = n1 ) ).
cnf(clause_159,negated_conjecture,
( X11 != p__1
| X11 = p__1 ) ).
cnf(clause_160,negated_conjecture,
( times(X81,X82) != X11
| times(X81,X82) = X11 ) ).
cnf(clause_161,negated_conjecture,
( ~ less(n1,X11)
| less(n1,X11) ) ).
cnf(clause_162,negated_conjecture,
( X83 != X11
| X83 = X11 ) ).
cnf(clause_163,negated_conjecture,
( X11 != p__0
| X11 = p__0 ) ).
cnf(clause_164,negated_conjecture,
( X83 != n1
| X83 = n1 ) ).
cnf(clause_165,negated_conjecture,
( times(X83,X84) != X11
| times(X83,X84) = X11 ) ).
cnf(clause_166,negated_conjecture,
( ~ less(n1,X11)
| less(n1,X11) ) ).
cnf(clause_167,negated_conjecture,
( X11 != p__2
| X11 = p__2 ) ).
cnf(clause_168,negated_conjecture,
( X11 != p__1
| X11 = p__1 ) ).
cnf(clause_169,negated_conjecture,
( X11 != p__3
| times(X85,X86) != X11
| X85 = n1
| X85 = X11 ) ).
cnf(clause_170,negated_conjecture,
( X11 != p__0
| X11 = p__0 ) ).
cnf(clause_171,negated_conjecture,
( X17 != plus(n0,times(X87,X11))
| X17 = plus(n0,times(X87,X11)) ) ).
cnf(clause_172,negated_conjecture,
( X11 != p__3
| less(n1,X11) ) ).
cnf(clause_173,negated_conjecture,
( X11 != p__2
| less(n1,X11) ) ).
cnf(clause_174,negated_conjecture,
( X11 != p__2
| times(X85,X86) != X11
| X85 = n1
| X85 = X11 ) ).
cnf(clause_175,negated_conjecture,
( X11 != p__1
| less(n1,X11) ) ).
cnf(clause_176,negated_conjecture,
( X11 != p__1
| times(X85,X86) != X11
| X85 = n1
| X85 = X11 ) ).
cnf(clause_177,negated_conjecture,
( X11 != p__0
| times(X85,X86) != X11
| X85 = n1
| X85 = X11 ) ).
cnf(clause_178,negated_conjecture,
( X11 != p__0
| less(n1,X11) ) ).
cnf(clause_179,negated_conjecture,
( X17 != plus(n0,times(X88,X11))
| X17 = plus(n0,times(X88,X11)) ) ).
cnf(clause_180,negated_conjecture,
( X11 != p__3
| X11 = p__3 ) ).
cnf(clause_181,negated_conjecture,
( X17 != plus(n0,times(X89,X11))
| X17 = plus(n0,times(X89,X11)) ) ).
cnf(clause_182,negated_conjecture,
( X11 != p__2
| X11 = p__2 ) ).
cnf(clause_183,negated_conjecture,
( X17 != plus(n0,times(X90,X11))
| X17 = plus(n0,times(X90,X11)) ) ).
cnf(clause_184,negated_conjecture,
( X11 != p__1
| X11 = p__1 ) ).
cnf(clause_185,negated_conjecture,
( X17 = n1
| X17 = X17 ) ).
cnf(clause_186,negated_conjecture,
( X11 != p__0
| X11 = p__0 ) ).
cnf(clause_187,negated_conjecture,
( X17 = n1
| times(s_1(X17),s_4(X17)) = X17 ) ).
cnf(clause_188,negated_conjecture,
( X17 != n1
| X17 = n1 ) ).
cnf(clause_189,negated_conjecture,
( X17 = n1
| times(s_4(X17),s_1(X17)) = times(s_1(X17),s_4(X17)) ) ).
cnf(clause_190,negated_conjecture,
( X17 != n1
| X17 = n1 ) ).
cnf(clause_191,negated_conjecture,
( X17 = n1
| plus(n0,times(s_4(X17),s_1(X17))) = times(s_4(X17),s_1(X17)) ) ).
cnf(clause_192,negated_conjecture,
( X17 = n1
| s_1(X17) = p__0
| s_1(X17) = p__1
| s_1(X17) = p__2
| s_1(X17) = p__3 ) ).
cnf(clause_193,negated_conjecture,
( X11 != p__3
| plus(n0,times(X9,X11)) = times(X9,X11) ) ).
cnf(clause_194,negated_conjecture,
( X11 != p__2
| n1 != times(X9,X11) ) ).
cnf(clause_195,negated_conjecture,
( X11 != p__3
| n1 != times(X9,X11) ) ).
cnf(clause_196,negated_conjecture,
( X11 != p__3
| X17 != n1
| X17 = n1 ) ).
cnf(clause_197,negated_conjecture,
( X11 != p__2
| X17 != n1
| X17 = n1 ) ).
cnf(clause_198,negated_conjecture,
( X11 != p__2
| plus(n0,times(X9,X11)) = times(X9,X11) ) ).
cnf(clause_199,negated_conjecture,
( X11 != p__1
| plus(n0,times(X9,X11)) = times(X9,X11) ) ).
cnf(clause_200,negated_conjecture,
( X11 != p__1
| n1 != times(X9,X11) ) ).
cnf(clause_201,negated_conjecture,
( X11 != p__1
| X17 != n1
| X17 = n1 ) ).
cnf(clause_202,negated_conjecture,
( X11 != p__0
| n1 != times(X9,X11) ) ).
cnf(clause_203,negated_conjecture,
( X11 != p__0
| X17 != n1
| X17 = n1 ) ).
cnf(clause_204,negated_conjecture,
( X11 != p__0
| plus(n0,times(X9,X11)) = times(X9,X11) ) ).
cnf(clause_205,negated_conjecture,
p__3 = p__3 ).
cnf(clause_206,negated_conjecture,
( X17 != plus(n0,times(X91,X11))
| X17 = plus(n0,times(X91,X11)) ) ).
cnf(clause_207,negated_conjecture,
( X17 != plus(n0,times(X92,p__3))
| X17 = plus(n0,times(X92,p__3)) ) ).
cnf(clause_208,negated_conjecture,
( X11 != p__0
| X11 = p__0 ) ).
cnf(clause_209,negated_conjecture,
( X11 != p__1
| X11 = p__1 ) ).
cnf(clause_210,negated_conjecture,
( X11 != p__2
| X11 = p__2 ) ).
cnf(clause_211,negated_conjecture,
( X17 != plus(n0,times(X93,p__2))
| X17 = plus(n0,times(X93,p__2)) ) ).
cnf(clause_212,negated_conjecture,
( X17 != plus(n0,times(X94,X11))
| X17 = plus(n0,times(X94,X11)) ) ).
cnf(clause_213,negated_conjecture,
p__2 = p__2 ).
cnf(clause_214,negated_conjecture,
( X17 != plus(n0,times(X95,p__1))
| X17 = plus(n0,times(X95,p__1)) ) ).
cnf(clause_215,negated_conjecture,
( X11 != p__0
| X11 = p__0 ) ).
cnf(clause_216,negated_conjecture,
( X11 != p__1
| X11 = p__1 ) ).
cnf(clause_217,negated_conjecture,
( X17 != plus(n0,times(X96,X11))
| X17 = plus(n0,times(X96,X11)) ) ).
cnf(clause_218,negated_conjecture,
p__1 = p__1 ).
cnf(clause_219,negated_conjecture,
( X17 != plus(n0,times(X97,p__0))
| X17 = plus(n0,times(X97,p__0)) ) ).
cnf(clause_220,negated_conjecture,
( X11 != p__0
| X11 = p__0 ) ).
cnf(clause_221,negated_conjecture,
p__0 = p__0 ).
cnf(clause_222,negated_conjecture,
n1 = n1 ).
%------------------------------------------------------------------------------