TSTP Solution File: TOP053-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 21:32:29 EDT 2022
% Result : Unsatisfiable 0.40s 0.59s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 136
% Number of leaves : 307
% Syntax : Number of clauses : 1051 ( 467 unt; 0 nHn; 971 RR)
% Number of literals : 1912 (1911 equ; 863 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-14 aty)
% Number of variables : 171 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(involutory_quandle,axiom,
product(X,X) = X ).
cnf(involutory_quandle_01,axiom,
product(product(X,Y),Y) = X ).
cnf(involutory_quandle_02,axiom,
product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)) ).
cnf(knot,axiom,
product(a1,a2) = a3 ).
cnf(knot_03,axiom,
product(a3,a4) = a5 ).
cnf(knot_04,axiom,
product(a5,a6) = a7 ).
cnf(knot_05,axiom,
product(a7,a3) = a8 ).
cnf(knot_06,axiom,
product(a8,a2) = a9 ).
cnf(knot_07,axiom,
product(a9,a1) = a10 ).
cnf(knot_08,axiom,
product(a10,a11) = a12 ).
cnf(knot_09,axiom,
product(a12,a3) = a13 ).
cnf(knot_10,axiom,
product(a13,a8) = a6 ).
cnf(knot_11,axiom,
product(a6,a7) = a2 ).
cnf(knot_12,axiom,
product(a2,a12) = a14 ).
cnf(knot_13,axiom,
product(a14,a3) = a15 ).
cnf(knot_14,axiom,
product(a15,a8) = a4 ).
cnf(knot_15,axiom,
product(a4,a7) = a11 ).
cnf(knot_16,axiom,
product(a11,a10) = a1 ).
cnf(goal,negated_conjecture,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ).
cnf(refute_0_0,plain,
product(a10,a10) = a10,
inference(subst,[],[involutory_quandle:[bind(X,$fot(a10))]]) ).
cnf(refute_0_1,plain,
product(product(X_3,a3),a2) = product(product(X_3,a2),product(a3,a2)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a3)),bind(Z,$fot(a2))]]) ).
cnf(refute_0_2,plain,
product(product(a1,a2),a2) = a1,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a1)),bind(Y,$fot(a2))]]) ).
cnf(refute_0_3,plain,
( product(a1,a2) != a3
| product(product(a1,a2),a2) != a1
| product(a3,a2) = a1 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a1,a2),a2),a1) ),[0,0],$fot(a3)]]) ).
cnf(refute_0_4,plain,
( product(product(a1,a2),a2) != a1
| product(a3,a2) = a1 ),
inference(resolve,[$cnf( $equal(product(a1,a2),a3) )],[knot,refute_0_3]) ).
cnf(refute_0_5,plain,
product(a3,a2) = a1,
inference(resolve,[$cnf( $equal(product(product(a1,a2),a2),a1) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( product(a3,a2) != a1
| product(product(X_3,a3),a2) != product(product(X_3,a2),product(a3,a2))
| product(product(X_3,a3),a2) = product(product(X_3,a2),a1) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a3),a2),product(product(X_3,a2),product(a3,a2))) ),[1,1],$fot(a1)]]) ).
cnf(refute_0_7,plain,
( product(product(X_3,a3),a2) != product(product(X_3,a2),product(a3,a2))
| product(product(X_3,a3),a2) = product(product(X_3,a2),a1) ),
inference(resolve,[$cnf( $equal(product(a3,a2),a1) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
product(product(X_3,a3),a2) = product(product(X_3,a2),a1),
inference(resolve,[$cnf( $equal(product(product(X_3,a3),a2),product(product(X_3,a2),product(a3,a2))) )],[refute_0_1,refute_0_7]) ).
cnf(refute_0_9,plain,
product(product(product(a6,a4),a3),a2) = product(product(product(a6,a4),a2),a1),
inference(subst,[],[refute_0_8:[bind(X_3,$fot(product(a6,a4)))]]) ).
cnf(refute_0_10,plain,
product(product(X_3,a5),a4) = product(product(X_3,a4),product(a5,a4)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a5)),bind(Z,$fot(a4))]]) ).
cnf(refute_0_11,plain,
product(product(a3,a4),a4) = a3,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a3)),bind(Y,$fot(a4))]]) ).
cnf(refute_0_12,plain,
( product(a3,a4) != a5
| product(product(a3,a4),a4) != a3
| product(a5,a4) = a3 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a3,a4),a4),a3) ),[0,0],$fot(a5)]]) ).
cnf(refute_0_13,plain,
( product(product(a3,a4),a4) != a3
| product(a5,a4) = a3 ),
inference(resolve,[$cnf( $equal(product(a3,a4),a5) )],[knot_03,refute_0_12]) ).
cnf(refute_0_14,plain,
product(a5,a4) = a3,
inference(resolve,[$cnf( $equal(product(product(a3,a4),a4),a3) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( product(a5,a4) != a3
| product(product(X_3,a5),a4) != product(product(X_3,a4),product(a5,a4))
| product(product(X_3,a5),a4) = product(product(X_3,a4),a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a5),a4),product(product(X_3,a4),product(a5,a4))) ),[1,1],$fot(a3)]]) ).
cnf(refute_0_16,plain,
( product(product(X_3,a5),a4) != product(product(X_3,a4),product(a5,a4))
| product(product(X_3,a5),a4) = product(product(X_3,a4),a3) ),
inference(resolve,[$cnf( $equal(product(a5,a4),a3) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
product(product(X_3,a5),a4) = product(product(X_3,a4),a3),
inference(resolve,[$cnf( $equal(product(product(X_3,a5),a4),product(product(X_3,a4),product(a5,a4))) )],[refute_0_10,refute_0_16]) ).
cnf(refute_0_18,plain,
product(product(a6,a5),a4) = product(product(a6,a4),a3),
inference(subst,[],[refute_0_17:[bind(X_3,$fot(a6))]]) ).
cnf(refute_0_19,plain,
product(product(X_3,a2),a7) = product(product(X_3,a7),product(a2,a7)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a2)),bind(Z,$fot(a7))]]) ).
cnf(refute_0_20,plain,
product(product(a6,a7),a7) = a6,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a6)),bind(Y,$fot(a7))]]) ).
cnf(refute_0_21,plain,
( product(a6,a7) != a2
| product(product(a6,a7),a7) != a6
| product(a2,a7) = a6 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,a7),a7),a6) ),[0,0],$fot(a2)]]) ).
cnf(refute_0_22,plain,
( product(product(a6,a7),a7) != a6
| product(a2,a7) = a6 ),
inference(resolve,[$cnf( $equal(product(a6,a7),a2) )],[knot_11,refute_0_21]) ).
cnf(refute_0_23,plain,
product(a2,a7) = a6,
inference(resolve,[$cnf( $equal(product(product(a6,a7),a7),a6) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
( product(a2,a7) != a6
| product(product(X_3,a2),a7) != product(product(X_3,a7),product(a2,a7))
| product(product(X_3,a2),a7) = product(product(X_3,a7),a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a2),a7),product(product(X_3,a7),product(a2,a7))) ),[1,1],$fot(a6)]]) ).
cnf(refute_0_25,plain,
( product(product(X_3,a2),a7) != product(product(X_3,a7),product(a2,a7))
| product(product(X_3,a2),a7) = product(product(X_3,a7),a6) ),
inference(resolve,[$cnf( $equal(product(a2,a7),a6) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
product(product(X_3,a2),a7) = product(product(X_3,a7),a6),
inference(resolve,[$cnf( $equal(product(product(X_3,a2),a7),product(product(X_3,a7),product(a2,a7))) )],[refute_0_19,refute_0_25]) ).
cnf(refute_0_27,plain,
product(product(X,a10),a2) = product(product(X,a2),product(a10,a2)),
inference(subst,[],[involutory_quandle_02:[bind(Y,$fot(a10)),bind(Z,$fot(a2))]]) ).
cnf(refute_0_28,plain,
product(product(a9,X_4),a2) = product(product(a9,a2),product(X_4,a2)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a9)),bind(Y,$fot(X_4)),bind(Z,$fot(a2))]]) ).
cnf(refute_0_29,plain,
product(product(a8,a2),a2) = a8,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a8)),bind(Y,$fot(a2))]]) ).
cnf(refute_0_30,plain,
( product(a8,a2) != a9
| product(product(a8,a2),a2) != a8
| product(a9,a2) = a8 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a8,a2),a2),a8) ),[0,0],$fot(a9)]]) ).
cnf(refute_0_31,plain,
( product(product(a8,a2),a2) != a8
| product(a9,a2) = a8 ),
inference(resolve,[$cnf( $equal(product(a8,a2),a9) )],[knot_06,refute_0_30]) ).
cnf(refute_0_32,plain,
product(a9,a2) = a8,
inference(resolve,[$cnf( $equal(product(product(a8,a2),a2),a8) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( product(a9,a2) != a8
| product(product(a9,X_4),a2) != product(product(a9,a2),product(X_4,a2))
| product(product(a9,X_4),a2) = product(a8,product(X_4,a2)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a9,X_4),a2),product(product(a9,a2),product(X_4,a2))) ),[1,0],$fot(a8)]]) ).
cnf(refute_0_34,plain,
( product(product(a9,X_4),a2) != product(product(a9,a2),product(X_4,a2))
| product(product(a9,X_4),a2) = product(a8,product(X_4,a2)) ),
inference(resolve,[$cnf( $equal(product(a9,a2),a8) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
product(product(a9,X_4),a2) = product(a8,product(X_4,a2)),
inference(resolve,[$cnf( $equal(product(product(a9,X_4),a2),product(product(a9,a2),product(X_4,a2))) )],[refute_0_28,refute_0_34]) ).
cnf(refute_0_36,plain,
product(product(a9,a1),a2) = product(a8,product(a1,a2)),
inference(subst,[],[refute_0_35:[bind(X_4,$fot(a1))]]) ).
cnf(refute_0_37,plain,
( product(a9,a1) != a10
| product(product(a9,a1),a2) != product(a8,product(a1,a2))
| product(a10,a2) = product(a8,product(a1,a2)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a9,a1),a2),product(a8,product(a1,a2))) ),[0,0],$fot(a10)]]) ).
cnf(refute_0_38,plain,
( product(product(a9,a1),a2) != product(a8,product(a1,a2))
| product(a10,a2) = product(a8,product(a1,a2)) ),
inference(resolve,[$cnf( $equal(product(a9,a1),a10) )],[knot_07,refute_0_37]) ).
cnf(refute_0_39,plain,
product(a10,a2) = product(a8,product(a1,a2)),
inference(resolve,[$cnf( $equal(product(product(a9,a1),a2),product(a8,product(a1,a2))) )],[refute_0_36,refute_0_38]) ).
cnf(refute_0_40,plain,
product(product(a7,a3),a3) = a7,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a7)),bind(Y,$fot(a3))]]) ).
cnf(refute_0_41,plain,
( product(a7,a3) != a8
| product(product(a7,a3),a3) != a7
| product(a8,a3) = a7 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a7,a3),a3),a7) ),[0,0],$fot(a8)]]) ).
cnf(refute_0_42,plain,
( product(product(a7,a3),a3) != a7
| product(a8,a3) = a7 ),
inference(resolve,[$cnf( $equal(product(a7,a3),a8) )],[knot_05,refute_0_41]) ).
cnf(refute_0_43,plain,
product(a8,a3) = a7,
inference(resolve,[$cnf( $equal(product(product(a7,a3),a3),a7) )],[refute_0_40,refute_0_42]) ).
cnf(refute_0_44,plain,
product(a8,product(a1,a2)) = product(a8,product(a1,a2)),
introduced(tautology,[refl,[$fot(product(a8,product(a1,a2)))]]) ).
cnf(refute_0_45,plain,
( product(a1,a2) != a3
| product(a8,product(a1,a2)) != product(a8,product(a1,a2))
| product(a8,product(a1,a2)) = product(a8,a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(a8,product(a1,a2)),product(a8,product(a1,a2))) ),[1,1],$fot(a3)]]) ).
cnf(refute_0_46,plain,
( product(a1,a2) != a3
| product(a8,product(a1,a2)) = product(a8,a3) ),
inference(resolve,[$cnf( $equal(product(a8,product(a1,a2)),product(a8,product(a1,a2))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
product(a8,product(a1,a2)) = product(a8,a3),
inference(resolve,[$cnf( $equal(product(a1,a2),a3) )],[knot,refute_0_46]) ).
cnf(refute_0_48,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_49,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_50,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_52,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( product(a8,a3) != a7
| product(a8,product(a1,a2)) != product(a8,a3)
| product(a8,product(a1,a2)) = a7 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a8,product(a1,a2)))),bind(Y0,$fot(product(a8,a3))),bind(Z0,$fot(a7))]]) ).
cnf(refute_0_54,plain,
( product(a8,a3) != a7
| product(a8,product(a1,a2)) = a7 ),
inference(resolve,[$cnf( $equal(product(a8,product(a1,a2)),product(a8,a3)) )],[refute_0_47,refute_0_53]) ).
cnf(refute_0_55,plain,
product(a8,product(a1,a2)) = a7,
inference(resolve,[$cnf( $equal(product(a8,a3),a7) )],[refute_0_43,refute_0_54]) ).
cnf(refute_0_56,plain,
( product(a10,a2) != product(a8,product(a1,a2))
| product(a8,product(a1,a2)) != a7
| product(a10,a2) = a7 ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(a10,a2),a7) ),[0],$fot(product(a8,product(a1,a2)))]]) ).
cnf(refute_0_57,plain,
( product(a10,a2) != product(a8,product(a1,a2))
| product(a10,a2) = a7 ),
inference(resolve,[$cnf( $equal(product(a8,product(a1,a2)),a7) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
product(a10,a2) = a7,
inference(resolve,[$cnf( $equal(product(a10,a2),product(a8,product(a1,a2))) )],[refute_0_39,refute_0_57]) ).
cnf(refute_0_59,plain,
( product(a10,a2) != a7
| product(product(X,a10),a2) != product(product(X,a2),product(a10,a2))
| product(product(X,a10),a2) = product(product(X,a2),a7) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X,a10),a2),product(product(X,a2),product(a10,a2))) ),[1,1],$fot(a7)]]) ).
cnf(refute_0_60,plain,
( product(product(X,a10),a2) != product(product(X,a2),product(a10,a2))
| product(product(X,a10),a2) = product(product(X,a2),a7) ),
inference(resolve,[$cnf( $equal(product(a10,a2),a7) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
product(product(X,a10),a2) = product(product(X,a2),a7),
inference(resolve,[$cnf( $equal(product(product(X,a10),a2),product(product(X,a2),product(a10,a2))) )],[refute_0_27,refute_0_60]) ).
cnf(refute_0_62,plain,
( product(product(X,a10),a2) != product(product(X,a2),a7)
| product(product(X,a2),a7) = product(product(X,a10),a2) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(product(product(X,a10),a2))),bind(Y0,$fot(product(product(X,a2),a7)))]]) ).
cnf(refute_0_63,plain,
product(product(X,a2),a7) = product(product(X,a10),a2),
inference(resolve,[$cnf( $equal(product(product(X,a10),a2),product(product(X,a2),a7)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
product(product(X_3,a2),a7) = product(product(X_3,a10),a2),
inference(subst,[],[refute_0_63:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_65,plain,
( product(product(X_3,a2),a7) != product(product(X_3,a10),a2)
| product(product(X_3,a2),a7) != product(product(X_3,a7),a6)
| product(product(X_3,a10),a2) = product(product(X_3,a7),a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a2),a7),product(product(X_3,a7),a6)) ),[0],$fot(product(product(X_3,a10),a2))]]) ).
cnf(refute_0_66,plain,
( product(product(X_3,a2),a7) != product(product(X_3,a7),a6)
| product(product(X_3,a10),a2) = product(product(X_3,a7),a6) ),
inference(resolve,[$cnf( $equal(product(product(X_3,a2),a7),product(product(X_3,a10),a2)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
product(product(X_3,a10),a2) = product(product(X_3,a7),a6),
inference(resolve,[$cnf( $equal(product(product(X_3,a2),a7),product(product(X_3,a7),a6)) )],[refute_0_26,refute_0_66]) ).
cnf(refute_0_68,plain,
product(product(a6,a10),a2) = product(product(a6,a7),a6),
inference(subst,[],[refute_0_67:[bind(X_3,$fot(a6))]]) ).
cnf(refute_0_69,plain,
( product(a6,a7) != a2
| product(product(a6,a10),a2) != product(product(a6,a7),a6)
| product(product(a6,a10),a2) = product(a2,a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,a10),a2),product(product(a6,a7),a6)) ),[1,0],$fot(a2)]]) ).
cnf(refute_0_70,plain,
( product(product(a6,a10),a2) != product(product(a6,a7),a6)
| product(product(a6,a10),a2) = product(a2,a6) ),
inference(resolve,[$cnf( $equal(product(a6,a7),a2) )],[knot_11,refute_0_69]) ).
cnf(refute_0_71,plain,
product(product(a6,a10),a2) = product(a2,a6),
inference(resolve,[$cnf( $equal(product(product(a6,a10),a2),product(product(a6,a7),a6)) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
( product(product(a6,a10),a2) != product(a2,a6)
| product(product(a6,a10),a2) != product(product(a6,a7),a6)
| product(a2,a6) = product(product(a6,a7),a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,a10),a2),product(product(a6,a7),a6)) ),[0],$fot(product(a2,a6))]]) ).
cnf(refute_0_73,plain,
( product(product(a6,a10),a2) != product(product(a6,a7),a6)
| product(a2,a6) = product(product(a6,a7),a6) ),
inference(resolve,[$cnf( $equal(product(product(a6,a10),a2),product(a2,a6)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
product(a2,a6) = product(product(a6,a7),a6),
inference(resolve,[$cnf( $equal(product(product(a6,a10),a2),product(product(a6,a7),a6)) )],[refute_0_68,refute_0_73]) ).
cnf(refute_0_75,plain,
product(product(a5,a6),a6) = a5,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a5)),bind(Y,$fot(a6))]]) ).
cnf(refute_0_76,plain,
( product(a5,a6) != a7
| product(product(a5,a6),a6) != a5
| product(a7,a6) = a5 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a5,a6),a6),a5) ),[0,0],$fot(a7)]]) ).
cnf(refute_0_77,plain,
( product(product(a5,a6),a6) != a5
| product(a7,a6) = a5 ),
inference(resolve,[$cnf( $equal(product(a5,a6),a7) )],[knot_04,refute_0_76]) ).
cnf(refute_0_78,plain,
product(a7,a6) = a5,
inference(resolve,[$cnf( $equal(product(product(a5,a6),a6),a5) )],[refute_0_75,refute_0_77]) ).
cnf(refute_0_79,plain,
product(a6,product(a7,a6)) = product(a6,product(a7,a6)),
introduced(tautology,[refl,[$fot(product(a6,product(a7,a6)))]]) ).
cnf(refute_0_80,plain,
( product(a6,product(a7,a6)) != product(a6,product(a7,a6))
| product(a7,a6) != a5
| product(a6,product(a7,a6)) = product(a6,a5) ),
introduced(tautology,[equality,[$cnf( $equal(product(a6,product(a7,a6)),product(a6,product(a7,a6))) ),[1,1],$fot(a5)]]) ).
cnf(refute_0_81,plain,
( product(a7,a6) != a5
| product(a6,product(a7,a6)) = product(a6,a5) ),
inference(resolve,[$cnf( $equal(product(a6,product(a7,a6)),product(a6,product(a7,a6))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
product(a6,product(a7,a6)) = product(a6,a5),
inference(resolve,[$cnf( $equal(product(a7,a6),a5) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
product(product(X_5,X_4),X_5) = product(product(X_5,X_5),product(X_4,X_5)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_5)),bind(Y,$fot(X_4)),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_84,plain,
product(X_5,X_5) = X_5,
inference(subst,[],[involutory_quandle:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_85,plain,
( product(X_5,X_5) != X_5
| product(product(X_5,X_4),X_5) != product(product(X_5,X_5),product(X_4,X_5))
| product(product(X_5,X_4),X_5) = product(X_5,product(X_4,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_5,X_4),X_5),product(product(X_5,X_5),product(X_4,X_5))) ),[1,0],$fot(X_5)]]) ).
cnf(refute_0_86,plain,
( product(product(X_5,X_4),X_5) != product(product(X_5,X_5),product(X_4,X_5))
| product(product(X_5,X_4),X_5) = product(X_5,product(X_4,X_5)) ),
inference(resolve,[$cnf( $equal(product(X_5,X_5),X_5) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
product(product(X_5,X_4),X_5) = product(X_5,product(X_4,X_5)),
inference(resolve,[$cnf( $equal(product(product(X_5,X_4),X_5),product(product(X_5,X_5),product(X_4,X_5))) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
product(product(a6,a7),a6) = product(a6,product(a7,a6)),
inference(subst,[],[refute_0_87:[bind(X_4,$fot(a7)),bind(X_5,$fot(a6))]]) ).
cnf(refute_0_89,plain,
( product(a6,product(a7,a6)) != product(a6,a5)
| product(product(a6,a7),a6) != product(a6,product(a7,a6))
| product(product(a6,a7),a6) = product(a6,a5) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a6,a7),a6))),bind(Y0,$fot(product(a6,product(a7,a6)))),bind(Z0,$fot(product(a6,a5)))]]) ).
cnf(refute_0_90,plain,
( product(a6,product(a7,a6)) != product(a6,a5)
| product(product(a6,a7),a6) = product(a6,a5) ),
inference(resolve,[$cnf( $equal(product(product(a6,a7),a6),product(a6,product(a7,a6))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
product(product(a6,a7),a6) = product(a6,a5),
inference(resolve,[$cnf( $equal(product(a6,product(a7,a6)),product(a6,a5)) )],[refute_0_82,refute_0_90]) ).
cnf(refute_0_92,plain,
( product(a2,a6) != product(product(a6,a7),a6)
| product(product(a6,a7),a6) != product(a6,a5)
| product(a2,a6) = product(a6,a5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(a2,a6),product(a6,a5)) ),[0],$fot(product(product(a6,a7),a6))]]) ).
cnf(refute_0_93,plain,
( product(a2,a6) != product(product(a6,a7),a6)
| product(a2,a6) = product(a6,a5) ),
inference(resolve,[$cnf( $equal(product(product(a6,a7),a6),product(a6,a5)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
product(a2,a6) = product(a6,a5),
inference(resolve,[$cnf( $equal(product(a2,a6),product(product(a6,a7),a6)) )],[refute_0_74,refute_0_93]) ).
cnf(refute_0_95,plain,
( product(a2,a6) != product(a6,a5)
| product(a6,a5) = product(a2,a6) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(product(a2,a6))),bind(Y0,$fot(product(a6,a5)))]]) ).
cnf(refute_0_96,plain,
product(a6,a5) = product(a2,a6),
inference(resolve,[$cnf( $equal(product(a2,a6),product(a6,a5)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( product(a6,a5) != product(a2,a6)
| product(product(a6,a5),a4) != product(product(a6,a4),a3)
| product(product(a2,a6),a4) = product(product(a6,a4),a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,a5),a4),product(product(a6,a4),a3)) ),[0,0],$fot(product(a2,a6))]]) ).
cnf(refute_0_98,plain,
( product(product(a6,a5),a4) != product(product(a6,a4),a3)
| product(product(a2,a6),a4) = product(product(a6,a4),a3) ),
inference(resolve,[$cnf( $equal(product(a6,a5),product(a2,a6)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
product(product(a2,a6),a4) = product(product(a6,a4),a3),
inference(resolve,[$cnf( $equal(product(product(a6,a5),a4),product(product(a6,a4),a3)) )],[refute_0_18,refute_0_98]) ).
cnf(refute_0_100,plain,
product(product(X,a3),a6) = product(product(X,a6),product(a3,a6)),
inference(subst,[],[involutory_quandle_02:[bind(Y,$fot(a3)),bind(Z,$fot(a6))]]) ).
cnf(refute_0_101,plain,
product(product(a4,a6),a6) = a4,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a4)),bind(Y,$fot(a6))]]) ).
cnf(refute_0_102,plain,
product(product(a11,a10),a2) = product(product(a11,a7),a6),
inference(subst,[],[refute_0_67:[bind(X_3,$fot(a11))]]) ).
cnf(refute_0_103,plain,
product(product(a4,a7),a7) = a4,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a4)),bind(Y,$fot(a7))]]) ).
cnf(refute_0_104,plain,
( product(a4,a7) != a11
| product(product(a4,a7),a7) != a4
| product(a11,a7) = a4 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a4,a7),a7),a4) ),[0,0],$fot(a11)]]) ).
cnf(refute_0_105,plain,
( product(product(a4,a7),a7) != a4
| product(a11,a7) = a4 ),
inference(resolve,[$cnf( $equal(product(a4,a7),a11) )],[knot_15,refute_0_104]) ).
cnf(refute_0_106,plain,
product(a11,a7) = a4,
inference(resolve,[$cnf( $equal(product(product(a4,a7),a7),a4) )],[refute_0_103,refute_0_105]) ).
cnf(refute_0_107,plain,
( product(a11,a7) != a4
| product(product(a11,a10),a2) != product(product(a11,a7),a6)
| product(product(a11,a10),a2) = product(a4,a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a11,a10),a2),product(product(a11,a7),a6)) ),[1,0],$fot(a4)]]) ).
cnf(refute_0_108,plain,
( product(product(a11,a10),a2) != product(product(a11,a7),a6)
| product(product(a11,a10),a2) = product(a4,a6) ),
inference(resolve,[$cnf( $equal(product(a11,a7),a4) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
product(product(a11,a10),a2) = product(a4,a6),
inference(resolve,[$cnf( $equal(product(product(a11,a10),a2),product(product(a11,a7),a6)) )],[refute_0_102,refute_0_108]) ).
cnf(refute_0_110,plain,
product(product(a11,a10),a2) = product(product(a11,a10),a2),
introduced(tautology,[refl,[$fot(product(product(a11,a10),a2))]]) ).
cnf(refute_0_111,plain,
( product(a11,a10) != a1
| product(product(a11,a10),a2) != product(product(a11,a10),a2)
| product(product(a11,a10),a2) = product(a1,a2) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a11,a10),a2),product(product(a11,a10),a2)) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_112,plain,
( product(a11,a10) != a1
| product(product(a11,a10),a2) = product(a1,a2) ),
inference(resolve,[$cnf( $equal(product(product(a11,a10),a2),product(product(a11,a10),a2)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
product(product(a11,a10),a2) = product(a1,a2),
inference(resolve,[$cnf( $equal(product(a11,a10),a1) )],[knot_16,refute_0_112]) ).
cnf(refute_0_114,plain,
( product(a1,a2) != a3
| product(product(a11,a10),a2) != product(a1,a2)
| product(product(a11,a10),a2) = a3 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a11,a10),a2))),bind(Y0,$fot(product(a1,a2))),bind(Z0,$fot(a3))]]) ).
cnf(refute_0_115,plain,
( product(a1,a2) != a3
| product(product(a11,a10),a2) = a3 ),
inference(resolve,[$cnf( $equal(product(product(a11,a10),a2),product(a1,a2)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
product(product(a11,a10),a2) = a3,
inference(resolve,[$cnf( $equal(product(a1,a2),a3) )],[knot,refute_0_115]) ).
cnf(refute_0_117,plain,
( product(product(a11,a10),a2) != a3
| product(product(a11,a10),a2) != product(a4,a6)
| a3 = product(a4,a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a11,a10),a2),product(a4,a6)) ),[0],$fot(a3)]]) ).
cnf(refute_0_118,plain,
( product(product(a11,a10),a2) != product(a4,a6)
| a3 = product(a4,a6) ),
inference(resolve,[$cnf( $equal(product(product(a11,a10),a2),a3) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
a3 = product(a4,a6),
inference(resolve,[$cnf( $equal(product(product(a11,a10),a2),product(a4,a6)) )],[refute_0_109,refute_0_118]) ).
cnf(refute_0_120,plain,
( a3 != product(a4,a6)
| product(a4,a6) = a3 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a3)),bind(Y0,$fot(product(a4,a6)))]]) ).
cnf(refute_0_121,plain,
product(a4,a6) = a3,
inference(resolve,[$cnf( $equal(a3,product(a4,a6)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( product(a4,a6) != a3
| product(product(a4,a6),a6) != a4
| product(a3,a6) = a4 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a4,a6),a6),a4) ),[0,0],$fot(a3)]]) ).
cnf(refute_0_123,plain,
( product(product(a4,a6),a6) != a4
| product(a3,a6) = a4 ),
inference(resolve,[$cnf( $equal(product(a4,a6),a3) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
product(a3,a6) = a4,
inference(resolve,[$cnf( $equal(product(product(a4,a6),a6),a4) )],[refute_0_101,refute_0_123]) ).
cnf(refute_0_125,plain,
( product(a3,a6) != a4
| product(product(X,a3),a6) != product(product(X,a6),product(a3,a6))
| product(product(X,a3),a6) = product(product(X,a6),a4) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X,a3),a6),product(product(X,a6),product(a3,a6))) ),[1,1],$fot(a4)]]) ).
cnf(refute_0_126,plain,
( product(product(X,a3),a6) != product(product(X,a6),product(a3,a6))
| product(product(X,a3),a6) = product(product(X,a6),a4) ),
inference(resolve,[$cnf( $equal(product(a3,a6),a4) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
product(product(X,a3),a6) = product(product(X,a6),a4),
inference(resolve,[$cnf( $equal(product(product(X,a3),a6),product(product(X,a6),product(a3,a6))) )],[refute_0_100,refute_0_126]) ).
cnf(refute_0_128,plain,
( product(product(X,a3),a6) != product(product(X,a6),a4)
| product(product(X,a6),a4) = product(product(X,a3),a6) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(product(product(X,a3),a6))),bind(Y0,$fot(product(product(X,a6),a4)))]]) ).
cnf(refute_0_129,plain,
product(product(X,a6),a4) = product(product(X,a3),a6),
inference(resolve,[$cnf( $equal(product(product(X,a3),a6),product(product(X,a6),a4)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
product(product(a2,a6),a4) = product(product(a2,a3),a6),
inference(subst,[],[refute_0_129:[bind(X,$fot(a2))]]) ).
cnf(refute_0_131,plain,
( product(product(a2,a6),a4) != product(product(a2,a3),a6)
| product(product(a2,a6),a4) != product(product(a6,a4),a3)
| product(product(a2,a3),a6) = product(product(a6,a4),a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a2,a6),a4),product(product(a6,a4),a3)) ),[0],$fot(product(product(a2,a3),a6))]]) ).
cnf(refute_0_132,plain,
( product(product(a2,a6),a4) != product(product(a6,a4),a3)
| product(product(a2,a3),a6) = product(product(a6,a4),a3) ),
inference(resolve,[$cnf( $equal(product(product(a2,a6),a4),product(product(a2,a3),a6)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
product(product(a2,a3),a6) = product(product(a6,a4),a3),
inference(resolve,[$cnf( $equal(product(product(a2,a6),a4),product(product(a6,a4),a3)) )],[refute_0_99,refute_0_132]) ).
cnf(refute_0_134,plain,
( product(product(a2,a3),a6) != product(product(a6,a4),a3)
| product(product(a6,a4),a3) = product(product(a2,a3),a6) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(product(product(a2,a3),a6))),bind(Y0,$fot(product(product(a6,a4),a3)))]]) ).
cnf(refute_0_135,plain,
product(product(a6,a4),a3) = product(product(a2,a3),a6),
inference(resolve,[$cnf( $equal(product(product(a2,a3),a6),product(product(a6,a4),a3)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
( product(product(a6,a4),a3) != product(product(a2,a3),a6)
| product(product(product(a6,a4),a3),a2) != product(product(product(a6,a4),a2),a1)
| product(product(product(a2,a3),a6),a2) = product(product(product(a6,a4),a2),a1) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(product(a6,a4),a3),a2),product(product(product(a6,a4),a2),a1)) ),[0,0],$fot(product(product(a2,a3),a6))]]) ).
cnf(refute_0_137,plain,
( product(product(product(a6,a4),a3),a2) != product(product(product(a6,a4),a2),a1)
| product(product(product(a2,a3),a6),a2) = product(product(product(a6,a4),a2),a1) ),
inference(resolve,[$cnf( $equal(product(product(a6,a4),a3),product(product(a2,a3),a6)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
product(product(product(a2,a3),a6),a2) = product(product(product(a6,a4),a2),a1),
inference(resolve,[$cnf( $equal(product(product(product(a6,a4),a3),a2),product(product(product(a6,a4),a2),a1)) )],[refute_0_9,refute_0_137]) ).
cnf(refute_0_139,plain,
product(product(a10,a2),a2) = a10,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a10)),bind(Y,$fot(a2))]]) ).
cnf(refute_0_140,plain,
( product(a10,a2) != a7
| product(product(a10,a2),a2) != a10
| product(a7,a2) = a10 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a10,a2),a2),a10) ),[0,0],$fot(a7)]]) ).
cnf(refute_0_141,plain,
( product(product(a10,a2),a2) != a10
| product(a7,a2) = a10 ),
inference(resolve,[$cnf( $equal(product(a10,a2),a7) )],[refute_0_58,refute_0_140]) ).
cnf(refute_0_142,plain,
product(a7,a2) = a10,
inference(resolve,[$cnf( $equal(product(product(a10,a2),a2),a10) )],[refute_0_139,refute_0_141]) ).
cnf(refute_0_143,plain,
product(product(a14,a3),a3) = a14,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a14)),bind(Y,$fot(a3))]]) ).
cnf(refute_0_144,plain,
( product(a14,a3) != a15
| product(product(a14,a3),a3) != a14
| product(a15,a3) = a14 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a14,a3),a3),a14) ),[0,0],$fot(a15)]]) ).
cnf(refute_0_145,plain,
( product(product(a14,a3),a3) != a14
| product(a15,a3) = a14 ),
inference(resolve,[$cnf( $equal(product(a14,a3),a15) )],[knot_13,refute_0_144]) ).
cnf(refute_0_146,plain,
product(a15,a3) = a14,
inference(resolve,[$cnf( $equal(product(product(a14,a3),a3),a14) )],[refute_0_143,refute_0_145]) ).
cnf(refute_0_147,plain,
product(product(a15,a8),a8) = a15,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a15)),bind(Y,$fot(a8))]]) ).
cnf(refute_0_148,plain,
( product(a15,a8) != a4
| product(product(a15,a8),a8) != a15
| product(a4,a8) = a15 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a15,a8),a8),a15) ),[0,0],$fot(a4)]]) ).
cnf(refute_0_149,plain,
( product(product(a15,a8),a8) != a15
| product(a4,a8) = a15 ),
inference(resolve,[$cnf( $equal(product(a15,a8),a4) )],[knot_14,refute_0_148]) ).
cnf(refute_0_150,plain,
product(a4,a8) = a15,
inference(resolve,[$cnf( $equal(product(product(a15,a8),a8),a15) )],[refute_0_147,refute_0_149]) ).
cnf(refute_0_151,plain,
product(a4,a4) = a4,
inference(subst,[],[involutory_quandle:[bind(X,$fot(a4))]]) ).
cnf(refute_0_152,plain,
product(product(a8,a7),a7) = a8,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a8)),bind(Y,$fot(a7))]]) ).
cnf(refute_0_153,plain,
product(product(a9,a10),a2) = product(a8,product(a10,a2)),
inference(subst,[],[refute_0_35:[bind(X_4,$fot(a10))]]) ).
cnf(refute_0_154,plain,
product(product(X_3,a1),a10) = product(product(X_3,a10),product(a1,a10)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a1)),bind(Z,$fot(a10))]]) ).
cnf(refute_0_155,plain,
product(product(a11,a10),a10) = a11,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a11)),bind(Y,$fot(a10))]]) ).
cnf(refute_0_156,plain,
( product(a11,a10) != a1
| product(product(a11,a10),a10) != a11
| product(a1,a10) = a11 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a11,a10),a10),a11) ),[0,0],$fot(a1)]]) ).
cnf(refute_0_157,plain,
( product(product(a11,a10),a10) != a11
| product(a1,a10) = a11 ),
inference(resolve,[$cnf( $equal(product(a11,a10),a1) )],[knot_16,refute_0_156]) ).
cnf(refute_0_158,plain,
product(a1,a10) = a11,
inference(resolve,[$cnf( $equal(product(product(a11,a10),a10),a11) )],[refute_0_155,refute_0_157]) ).
cnf(refute_0_159,plain,
( product(a1,a10) != a11
| product(product(X_3,a1),a10) != product(product(X_3,a10),product(a1,a10))
| product(product(X_3,a1),a10) = product(product(X_3,a10),a11) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a1),a10),product(product(X_3,a10),product(a1,a10))) ),[1,1],$fot(a11)]]) ).
cnf(refute_0_160,plain,
( product(product(X_3,a1),a10) != product(product(X_3,a10),product(a1,a10))
| product(product(X_3,a1),a10) = product(product(X_3,a10),a11) ),
inference(resolve,[$cnf( $equal(product(a1,a10),a11) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
product(product(X_3,a1),a10) = product(product(X_3,a10),a11),
inference(resolve,[$cnf( $equal(product(product(X_3,a1),a10),product(product(X_3,a10),product(a1,a10))) )],[refute_0_154,refute_0_160]) ).
cnf(refute_0_162,plain,
product(product(a10,a1),a10) = product(product(a10,a10),a11),
inference(subst,[],[refute_0_161:[bind(X_3,$fot(a10))]]) ).
cnf(refute_0_163,plain,
product(product(a9,a1),a1) = a9,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a9)),bind(Y,$fot(a1))]]) ).
cnf(refute_0_164,plain,
( product(a9,a1) != a10
| product(product(a9,a1),a1) != a9
| product(a10,a1) = a9 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a9,a1),a1),a9) ),[0,0],$fot(a10)]]) ).
cnf(refute_0_165,plain,
( product(product(a9,a1),a1) != a9
| product(a10,a1) = a9 ),
inference(resolve,[$cnf( $equal(product(a9,a1),a10) )],[knot_07,refute_0_164]) ).
cnf(refute_0_166,plain,
product(a10,a1) = a9,
inference(resolve,[$cnf( $equal(product(product(a9,a1),a1),a9) )],[refute_0_163,refute_0_165]) ).
cnf(refute_0_167,plain,
( product(a10,a1) != a9
| product(product(a10,a1),a10) != product(product(a10,a10),a11)
| product(a9,a10) = product(product(a10,a10),a11) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a10,a1),a10),product(product(a10,a10),a11)) ),[0,0],$fot(a9)]]) ).
cnf(refute_0_168,plain,
( product(product(a10,a1),a10) != product(product(a10,a10),a11)
| product(a9,a10) = product(product(a10,a10),a11) ),
inference(resolve,[$cnf( $equal(product(a10,a1),a9) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
product(a9,a10) = product(product(a10,a10),a11),
inference(resolve,[$cnf( $equal(product(product(a10,a1),a10),product(product(a10,a10),a11)) )],[refute_0_162,refute_0_168]) ).
cnf(refute_0_170,plain,
product(a12,a12) = a12,
inference(subst,[],[involutory_quandle:[bind(X,$fot(a12))]]) ).
cnf(refute_0_171,plain,
product(a12,product(a10,a11)) = product(a12,product(a10,a11)),
introduced(tautology,[refl,[$fot(product(a12,product(a10,a11)))]]) ).
cnf(refute_0_172,plain,
( product(a10,a11) != a12
| product(a12,product(a10,a11)) != product(a12,product(a10,a11))
| product(a12,product(a10,a11)) = product(a12,a12) ),
introduced(tautology,[equality,[$cnf( $equal(product(a12,product(a10,a11)),product(a12,product(a10,a11))) ),[1,1],$fot(a12)]]) ).
cnf(refute_0_173,plain,
( product(a10,a11) != a12
| product(a12,product(a10,a11)) = product(a12,a12) ),
inference(resolve,[$cnf( $equal(product(a12,product(a10,a11)),product(a12,product(a10,a11))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
product(a12,product(a10,a11)) = product(a12,a12),
inference(resolve,[$cnf( $equal(product(a10,a11),a12) )],[knot_08,refute_0_173]) ).
cnf(refute_0_175,plain,
( product(a12,a12) != a12
| product(a12,product(a10,a11)) != product(a12,a12)
| product(a12,product(a10,a11)) = a12 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a12,product(a10,a11)))),bind(Y0,$fot(product(a12,a12))),bind(Z0,$fot(a12))]]) ).
cnf(refute_0_176,plain,
( product(a12,a12) != a12
| product(a12,product(a10,a11)) = a12 ),
inference(resolve,[$cnf( $equal(product(a12,product(a10,a11)),product(a12,a12)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
product(a12,product(a10,a11)) = a12,
inference(resolve,[$cnf( $equal(product(a12,a12),a12) )],[refute_0_170,refute_0_176]) ).
cnf(refute_0_178,plain,
product(product(a10,X_4),a11) = product(product(a10,a11),product(X_4,a11)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a10)),bind(Y,$fot(X_4)),bind(Z,$fot(a11))]]) ).
cnf(refute_0_179,plain,
( product(a10,a11) != a12
| product(product(a10,X_4),a11) != product(product(a10,a11),product(X_4,a11))
| product(product(a10,X_4),a11) = product(a12,product(X_4,a11)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a10,X_4),a11),product(product(a10,a11),product(X_4,a11))) ),[1,0],$fot(a12)]]) ).
cnf(refute_0_180,plain,
( product(product(a10,X_4),a11) != product(product(a10,a11),product(X_4,a11))
| product(product(a10,X_4),a11) = product(a12,product(X_4,a11)) ),
inference(resolve,[$cnf( $equal(product(a10,a11),a12) )],[knot_08,refute_0_179]) ).
cnf(refute_0_181,plain,
product(product(a10,X_4),a11) = product(a12,product(X_4,a11)),
inference(resolve,[$cnf( $equal(product(product(a10,X_4),a11),product(product(a10,a11),product(X_4,a11))) )],[refute_0_178,refute_0_180]) ).
cnf(refute_0_182,plain,
product(product(a10,a10),a11) = product(a12,product(a10,a11)),
inference(subst,[],[refute_0_181:[bind(X_4,$fot(a10))]]) ).
cnf(refute_0_183,plain,
( product(a12,product(a10,a11)) != a12
| product(product(a10,a10),a11) != product(a12,product(a10,a11))
| product(product(a10,a10),a11) = a12 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a10,a10),a11))),bind(Y0,$fot(product(a12,product(a10,a11)))),bind(Z0,$fot(a12))]]) ).
cnf(refute_0_184,plain,
( product(a12,product(a10,a11)) != a12
| product(product(a10,a10),a11) = a12 ),
inference(resolve,[$cnf( $equal(product(product(a10,a10),a11),product(a12,product(a10,a11))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
product(product(a10,a10),a11) = a12,
inference(resolve,[$cnf( $equal(product(a12,product(a10,a11)),a12) )],[refute_0_177,refute_0_184]) ).
cnf(refute_0_186,plain,
( product(a9,a10) != product(product(a10,a10),a11)
| product(product(a10,a10),a11) != a12
| product(a9,a10) = a12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(a9,a10),a12) ),[0],$fot(product(product(a10,a10),a11))]]) ).
cnf(refute_0_187,plain,
( product(a9,a10) != product(product(a10,a10),a11)
| product(a9,a10) = a12 ),
inference(resolve,[$cnf( $equal(product(product(a10,a10),a11),a12) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
product(a9,a10) = a12,
inference(resolve,[$cnf( $equal(product(a9,a10),product(product(a10,a10),a11)) )],[refute_0_169,refute_0_187]) ).
cnf(refute_0_189,plain,
( product(a9,a10) != a12
| product(product(a9,a10),a2) != product(a8,product(a10,a2))
| product(a12,a2) = product(a8,product(a10,a2)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a9,a10),a2),product(a8,product(a10,a2))) ),[0,0],$fot(a12)]]) ).
cnf(refute_0_190,plain,
( product(product(a9,a10),a2) != product(a8,product(a10,a2))
| product(a12,a2) = product(a8,product(a10,a2)) ),
inference(resolve,[$cnf( $equal(product(a9,a10),a12) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
product(a12,a2) = product(a8,product(a10,a2)),
inference(resolve,[$cnf( $equal(product(product(a9,a10),a2),product(a8,product(a10,a2))) )],[refute_0_153,refute_0_190]) ).
cnf(refute_0_192,plain,
product(a8,product(a10,a2)) = product(a8,product(a10,a2)),
introduced(tautology,[refl,[$fot(product(a8,product(a10,a2)))]]) ).
cnf(refute_0_193,plain,
( product(a10,a2) != a7
| product(a8,product(a10,a2)) != product(a8,product(a10,a2))
| product(a8,product(a10,a2)) = product(a8,a7) ),
introduced(tautology,[equality,[$cnf( $equal(product(a8,product(a10,a2)),product(a8,product(a10,a2))) ),[1,1],$fot(a7)]]) ).
cnf(refute_0_194,plain,
( product(a10,a2) != a7
| product(a8,product(a10,a2)) = product(a8,a7) ),
inference(resolve,[$cnf( $equal(product(a8,product(a10,a2)),product(a8,product(a10,a2))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
product(a8,product(a10,a2)) = product(a8,a7),
inference(resolve,[$cnf( $equal(product(a10,a2),a7) )],[refute_0_58,refute_0_194]) ).
cnf(refute_0_196,plain,
( product(a12,a2) != product(a8,product(a10,a2))
| product(a8,product(a10,a2)) != product(a8,a7)
| product(a12,a2) = product(a8,a7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(a12,a2),product(a8,a7)) ),[0],$fot(product(a8,product(a10,a2)))]]) ).
cnf(refute_0_197,plain,
( product(a12,a2) != product(a8,product(a10,a2))
| product(a12,a2) = product(a8,a7) ),
inference(resolve,[$cnf( $equal(product(a8,product(a10,a2)),product(a8,a7)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
product(a12,a2) = product(a8,a7),
inference(resolve,[$cnf( $equal(product(a12,a2),product(a8,product(a10,a2))) )],[refute_0_191,refute_0_197]) ).
cnf(refute_0_199,plain,
product(product(a3,X_4),a2) = product(product(a3,a2),product(X_4,a2)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a3)),bind(Y,$fot(X_4)),bind(Z,$fot(a2))]]) ).
cnf(refute_0_200,plain,
( product(a3,a2) != a1
| product(product(a3,X_4),a2) != product(product(a3,a2),product(X_4,a2))
| product(product(a3,X_4),a2) = product(a1,product(X_4,a2)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a3,X_4),a2),product(product(a3,a2),product(X_4,a2))) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_201,plain,
( product(product(a3,X_4),a2) != product(product(a3,a2),product(X_4,a2))
| product(product(a3,X_4),a2) = product(a1,product(X_4,a2)) ),
inference(resolve,[$cnf( $equal(product(a3,a2),a1) )],[refute_0_5,refute_0_200]) ).
cnf(refute_0_202,plain,
product(product(a3,X_4),a2) = product(a1,product(X_4,a2)),
inference(resolve,[$cnf( $equal(product(product(a3,X_4),a2),product(product(a3,a2),product(X_4,a2))) )],[refute_0_199,refute_0_201]) ).
cnf(refute_0_203,plain,
product(product(a3,a7),a2) = product(a1,product(a7,a2)),
inference(subst,[],[refute_0_202:[bind(X_4,$fot(a7))]]) ).
cnf(refute_0_204,plain,
product(product(a1,a10),a2) = product(product(a1,a7),a6),
inference(subst,[],[refute_0_67:[bind(X_3,$fot(a1))]]) ).
cnf(refute_0_205,plain,
( product(a1,a10) != a11
| product(product(a1,a10),a2) != product(product(a1,a7),a6)
| product(a11,a2) = product(product(a1,a7),a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a1,a10),a2),product(product(a1,a7),a6)) ),[0,0],$fot(a11)]]) ).
cnf(refute_0_206,plain,
( product(product(a1,a10),a2) != product(product(a1,a7),a6)
| product(a11,a2) = product(product(a1,a7),a6) ),
inference(resolve,[$cnf( $equal(product(a1,a10),a11) )],[refute_0_158,refute_0_205]) ).
cnf(refute_0_207,plain,
product(a11,a2) = product(product(a1,a7),a6),
inference(resolve,[$cnf( $equal(product(product(a1,a10),a2),product(product(a1,a7),a6)) )],[refute_0_204,refute_0_206]) ).
cnf(refute_0_208,plain,
product(a3,product(a10,a2)) = product(a3,product(a10,a2)),
introduced(tautology,[refl,[$fot(product(a3,product(a10,a2)))]]) ).
cnf(refute_0_209,plain,
( product(a10,a2) != a7
| product(a3,product(a10,a2)) != product(a3,product(a10,a2))
| product(a3,product(a10,a2)) = product(a3,a7) ),
introduced(tautology,[equality,[$cnf( $equal(product(a3,product(a10,a2)),product(a3,product(a10,a2))) ),[1,1],$fot(a7)]]) ).
cnf(refute_0_210,plain,
( product(a10,a2) != a7
| product(a3,product(a10,a2)) = product(a3,a7) ),
inference(resolve,[$cnf( $equal(product(a3,product(a10,a2)),product(a3,product(a10,a2))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
product(a3,product(a10,a2)) = product(a3,a7),
inference(resolve,[$cnf( $equal(product(a10,a2),a7) )],[refute_0_58,refute_0_210]) ).
cnf(refute_0_212,plain,
product(product(a1,X_4),a2) = product(product(a1,a2),product(X_4,a2)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a1)),bind(Y,$fot(X_4)),bind(Z,$fot(a2))]]) ).
cnf(refute_0_213,plain,
( product(a1,a2) != a3
| product(product(a1,X_4),a2) != product(product(a1,a2),product(X_4,a2))
| product(product(a1,X_4),a2) = product(a3,product(X_4,a2)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a1,X_4),a2),product(product(a1,a2),product(X_4,a2))) ),[1,0],$fot(a3)]]) ).
cnf(refute_0_214,plain,
( product(product(a1,X_4),a2) != product(product(a1,a2),product(X_4,a2))
| product(product(a1,X_4),a2) = product(a3,product(X_4,a2)) ),
inference(resolve,[$cnf( $equal(product(a1,a2),a3) )],[knot,refute_0_213]) ).
cnf(refute_0_215,plain,
product(product(a1,X_4),a2) = product(a3,product(X_4,a2)),
inference(resolve,[$cnf( $equal(product(product(a1,X_4),a2),product(product(a1,a2),product(X_4,a2))) )],[refute_0_212,refute_0_214]) ).
cnf(refute_0_216,plain,
product(product(a1,a10),a2) = product(a3,product(a10,a2)),
inference(subst,[],[refute_0_215:[bind(X_4,$fot(a10))]]) ).
cnf(refute_0_217,plain,
( product(product(X_3,a10),a2) != product(product(X_3,a7),a6)
| product(product(X_3,a7),a6) = product(product(X_3,a10),a2) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(product(product(X_3,a10),a2))),bind(Y0,$fot(product(product(X_3,a7),a6)))]]) ).
cnf(refute_0_218,plain,
product(product(X_3,a7),a6) = product(product(X_3,a10),a2),
inference(resolve,[$cnf( $equal(product(product(X_3,a10),a2),product(product(X_3,a7),a6)) )],[refute_0_67,refute_0_217]) ).
cnf(refute_0_219,plain,
product(product(a1,a7),a6) = product(product(a1,a10),a2),
inference(subst,[],[refute_0_218:[bind(X_3,$fot(a1))]]) ).
cnf(refute_0_220,plain,
( product(product(a1,a10),a2) != product(a3,product(a10,a2))
| product(product(a1,a7),a6) != product(product(a1,a10),a2)
| product(product(a1,a7),a6) = product(a3,product(a10,a2)) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a1,a7),a6))),bind(Y0,$fot(product(product(a1,a10),a2))),bind(Z0,$fot(product(a3,product(a10,a2))))]]) ).
cnf(refute_0_221,plain,
( product(product(a1,a10),a2) != product(a3,product(a10,a2))
| product(product(a1,a7),a6) = product(a3,product(a10,a2)) ),
inference(resolve,[$cnf( $equal(product(product(a1,a7),a6),product(product(a1,a10),a2)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
product(product(a1,a7),a6) = product(a3,product(a10,a2)),
inference(resolve,[$cnf( $equal(product(product(a1,a10),a2),product(a3,product(a10,a2))) )],[refute_0_216,refute_0_221]) ).
cnf(refute_0_223,plain,
( product(a3,product(a10,a2)) != product(a3,a7)
| product(product(a1,a7),a6) != product(a3,product(a10,a2))
| product(product(a1,a7),a6) = product(a3,a7) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a1,a7),a6))),bind(Y0,$fot(product(a3,product(a10,a2)))),bind(Z0,$fot(product(a3,a7)))]]) ).
cnf(refute_0_224,plain,
( product(a3,product(a10,a2)) != product(a3,a7)
| product(product(a1,a7),a6) = product(a3,a7) ),
inference(resolve,[$cnf( $equal(product(product(a1,a7),a6),product(a3,product(a10,a2))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
product(product(a1,a7),a6) = product(a3,a7),
inference(resolve,[$cnf( $equal(product(a3,product(a10,a2)),product(a3,a7)) )],[refute_0_211,refute_0_224]) ).
cnf(refute_0_226,plain,
( product(a11,a2) != product(product(a1,a7),a6)
| product(product(a1,a7),a6) != product(a3,a7)
| product(a11,a2) = product(a3,a7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(a11,a2),product(a3,a7)) ),[0],$fot(product(product(a1,a7),a6))]]) ).
cnf(refute_0_227,plain,
( product(a11,a2) != product(product(a1,a7),a6)
| product(a11,a2) = product(a3,a7) ),
inference(resolve,[$cnf( $equal(product(product(a1,a7),a6),product(a3,a7)) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
product(a11,a2) = product(a3,a7),
inference(resolve,[$cnf( $equal(product(a11,a2),product(product(a1,a7),a6)) )],[refute_0_207,refute_0_227]) ).
cnf(refute_0_229,plain,
product(product(X_3,a4),a7) = product(product(X_3,a7),product(a4,a7)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a4)),bind(Z,$fot(a7))]]) ).
cnf(refute_0_230,plain,
( product(a4,a7) != a11
| product(product(X_3,a4),a7) != product(product(X_3,a7),product(a4,a7))
| product(product(X_3,a4),a7) = product(product(X_3,a7),a11) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a4),a7),product(product(X_3,a7),product(a4,a7))) ),[1,1],$fot(a11)]]) ).
cnf(refute_0_231,plain,
( product(product(X_3,a4),a7) != product(product(X_3,a7),product(a4,a7))
| product(product(X_3,a4),a7) = product(product(X_3,a7),a11) ),
inference(resolve,[$cnf( $equal(product(a4,a7),a11) )],[knot_15,refute_0_230]) ).
cnf(refute_0_232,plain,
product(product(X_3,a4),a7) = product(product(X_3,a7),a11),
inference(resolve,[$cnf( $equal(product(product(X_3,a4),a7),product(product(X_3,a7),product(a4,a7))) )],[refute_0_229,refute_0_231]) ).
cnf(refute_0_233,plain,
product(product(a5,a4),a7) = product(product(a5,a7),a11),
inference(subst,[],[refute_0_232:[bind(X_3,$fot(a5))]]) ).
cnf(refute_0_234,plain,
( product(a5,a4) != a3
| product(product(a5,a4),a7) != product(product(a5,a7),a11)
| product(a3,a7) = product(product(a5,a7),a11) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a5,a4),a7),product(product(a5,a7),a11)) ),[0,0],$fot(a3)]]) ).
cnf(refute_0_235,plain,
( product(product(a5,a4),a7) != product(product(a5,a7),a11)
| product(a3,a7) = product(product(a5,a7),a11) ),
inference(resolve,[$cnf( $equal(product(a5,a4),a3) )],[refute_0_14,refute_0_234]) ).
cnf(refute_0_236,plain,
product(a3,a7) = product(product(a5,a7),a11),
inference(resolve,[$cnf( $equal(product(product(a5,a4),a7),product(product(a5,a7),a11)) )],[refute_0_233,refute_0_235]) ).
cnf(refute_0_237,plain,
( product(a11,a2) != product(a3,a7)
| product(a3,a7) = product(a11,a2) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(product(a11,a2))),bind(Y0,$fot(product(a3,a7)))]]) ).
cnf(refute_0_238,plain,
product(a3,a7) = product(a11,a2),
inference(resolve,[$cnf( $equal(product(a11,a2),product(a3,a7)) )],[refute_0_228,refute_0_237]) ).
cnf(refute_0_239,plain,
( product(a3,a7) != product(a11,a2)
| product(a3,a7) != product(product(a5,a7),a11)
| product(a11,a2) = product(product(a5,a7),a11) ),
introduced(tautology,[equality,[$cnf( $equal(product(a3,a7),product(product(a5,a7),a11)) ),[0],$fot(product(a11,a2))]]) ).
cnf(refute_0_240,plain,
( product(a3,a7) != product(product(a5,a7),a11)
| product(a11,a2) = product(product(a5,a7),a11) ),
inference(resolve,[$cnf( $equal(product(a3,a7),product(a11,a2)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
product(a10,product(a4,a7)) = product(a10,product(a4,a7)),
introduced(tautology,[refl,[$fot(product(a10,product(a4,a7)))]]) ).
cnf(refute_0_242,plain,
( product(a10,product(a4,a7)) != product(a10,product(a4,a7))
| product(a4,a7) != a11
| product(a10,product(a4,a7)) = product(a10,a11) ),
introduced(tautology,[equality,[$cnf( $equal(product(a10,product(a4,a7)),product(a10,product(a4,a7))) ),[1,1],$fot(a11)]]) ).
cnf(refute_0_243,plain,
( product(a4,a7) != a11
| product(a10,product(a4,a7)) = product(a10,a11) ),
inference(resolve,[$cnf( $equal(product(a10,product(a4,a7)),product(a10,product(a4,a7))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
product(a10,product(a4,a7)) = product(a10,a11),
inference(resolve,[$cnf( $equal(product(a4,a7),a11) )],[knot_15,refute_0_243]) ).
cnf(refute_0_245,plain,
( product(a10,a11) != a12
| product(a10,product(a4,a7)) != product(a10,a11)
| product(a10,product(a4,a7)) = a12 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a10,product(a4,a7)))),bind(Y0,$fot(product(a10,a11))),bind(Z0,$fot(a12))]]) ).
cnf(refute_0_246,plain,
( product(a10,a11) != a12
| product(a10,product(a4,a7)) = a12 ),
inference(resolve,[$cnf( $equal(product(a10,product(a4,a7)),product(a10,a11)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
product(a10,product(a4,a7)) = a12,
inference(resolve,[$cnf( $equal(product(a10,a11),a12) )],[knot_08,refute_0_246]) ).
cnf(refute_0_248,plain,
product(product(a5,Y),a7) = product(product(a5,a7),product(Y,a7)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a5)),bind(Z,$fot(a7))]]) ).
cnf(refute_0_249,plain,
product(product(a10,a7),a7) = a10,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a10)),bind(Y,$fot(a7))]]) ).
cnf(refute_0_250,plain,
product(product(a7,a10),a2) = product(product(a7,a7),a6),
inference(subst,[],[refute_0_67:[bind(X_3,$fot(a7))]]) ).
cnf(refute_0_251,plain,
product(a7,a7) = a7,
inference(subst,[],[involutory_quandle:[bind(X,$fot(a7))]]) ).
cnf(refute_0_252,plain,
( product(a7,a7) != a7
| product(product(a7,a10),a2) != product(product(a7,a7),a6)
| product(product(a7,a10),a2) = product(a7,a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a7,a10),a2),product(product(a7,a7),a6)) ),[1,0],$fot(a7)]]) ).
cnf(refute_0_253,plain,
( product(product(a7,a10),a2) != product(product(a7,a7),a6)
| product(product(a7,a10),a2) = product(a7,a6) ),
inference(resolve,[$cnf( $equal(product(a7,a7),a7) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
product(product(a7,a10),a2) = product(a7,a6),
inference(resolve,[$cnf( $equal(product(product(a7,a10),a2),product(product(a7,a7),a6)) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
product(a10,product(a10,a2)) = product(a10,product(a10,a2)),
introduced(tautology,[refl,[$fot(product(a10,product(a10,a2)))]]) ).
cnf(refute_0_256,plain,
( product(a10,a2) != a7
| product(a10,product(a10,a2)) != product(a10,product(a10,a2))
| product(a10,product(a10,a2)) = product(a10,a7) ),
introduced(tautology,[equality,[$cnf( $equal(product(a10,product(a10,a2)),product(a10,product(a10,a2))) ),[1,1],$fot(a7)]]) ).
cnf(refute_0_257,plain,
( product(a10,a2) != a7
| product(a10,product(a10,a2)) = product(a10,a7) ),
inference(resolve,[$cnf( $equal(product(a10,product(a10,a2)),product(a10,product(a10,a2))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
product(a10,product(a10,a2)) = product(a10,a7),
inference(resolve,[$cnf( $equal(product(a10,a2),a7) )],[refute_0_58,refute_0_257]) ).
cnf(refute_0_259,plain,
product(product(a7,Y),a2) = product(product(a7,a2),product(Y,a2)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a7)),bind(Z,$fot(a2))]]) ).
cnf(refute_0_260,plain,
( product(a7,a2) != a10
| product(product(a7,Y),a2) != product(product(a7,a2),product(Y,a2))
| product(product(a7,Y),a2) = product(a10,product(Y,a2)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a7,Y),a2),product(product(a7,a2),product(Y,a2))) ),[1,0],$fot(a10)]]) ).
cnf(refute_0_261,plain,
( product(product(a7,Y),a2) != product(product(a7,a2),product(Y,a2))
| product(product(a7,Y),a2) = product(a10,product(Y,a2)) ),
inference(resolve,[$cnf( $equal(product(a7,a2),a10) )],[refute_0_142,refute_0_260]) ).
cnf(refute_0_262,plain,
product(product(a7,Y),a2) = product(a10,product(Y,a2)),
inference(resolve,[$cnf( $equal(product(product(a7,Y),a2),product(product(a7,a2),product(Y,a2))) )],[refute_0_259,refute_0_261]) ).
cnf(refute_0_263,plain,
product(product(a7,a10),a2) = product(a10,product(a10,a2)),
inference(subst,[],[refute_0_262:[bind(Y,$fot(a10))]]) ).
cnf(refute_0_264,plain,
( product(a10,product(a10,a2)) != product(a10,a7)
| product(product(a7,a10),a2) != product(a10,product(a10,a2))
| product(product(a7,a10),a2) = product(a10,a7) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a7,a10),a2))),bind(Y0,$fot(product(a10,product(a10,a2)))),bind(Z0,$fot(product(a10,a7)))]]) ).
cnf(refute_0_265,plain,
( product(a10,product(a10,a2)) != product(a10,a7)
| product(product(a7,a10),a2) = product(a10,a7) ),
inference(resolve,[$cnf( $equal(product(product(a7,a10),a2),product(a10,product(a10,a2))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
product(product(a7,a10),a2) = product(a10,a7),
inference(resolve,[$cnf( $equal(product(a10,product(a10,a2)),product(a10,a7)) )],[refute_0_258,refute_0_265]) ).
cnf(refute_0_267,plain,
( product(product(a7,a10),a2) != product(a10,a7)
| product(product(a7,a10),a2) != product(a7,a6)
| product(a10,a7) = product(a7,a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a7,a10),a2),product(a7,a6)) ),[0],$fot(product(a10,a7))]]) ).
cnf(refute_0_268,plain,
( product(product(a7,a10),a2) != product(a7,a6)
| product(a10,a7) = product(a7,a6) ),
inference(resolve,[$cnf( $equal(product(product(a7,a10),a2),product(a10,a7)) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
( product(a10,a7) != product(a7,a6)
| product(a7,a6) != a5
| product(a10,a7) = a5 ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(a10,a7),a5) ),[0],$fot(product(a7,a6))]]) ).
cnf(refute_0_270,plain,
( product(a10,a7) != product(a7,a6)
| product(a10,a7) = a5 ),
inference(resolve,[$cnf( $equal(product(a7,a6),a5) )],[refute_0_78,refute_0_269]) ).
cnf(refute_0_271,plain,
( product(product(a7,a10),a2) != product(a7,a6)
| product(a10,a7) = a5 ),
inference(resolve,[$cnf( $equal(product(a10,a7),product(a7,a6)) )],[refute_0_268,refute_0_270]) ).
cnf(refute_0_272,plain,
product(a10,a7) = a5,
inference(resolve,[$cnf( $equal(product(product(a7,a10),a2),product(a7,a6)) )],[refute_0_254,refute_0_271]) ).
cnf(refute_0_273,plain,
( product(a10,a7) != a5
| product(product(a10,a7),a7) != a10
| product(a5,a7) = a10 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a10,a7),a7),a10) ),[0,0],$fot(a5)]]) ).
cnf(refute_0_274,plain,
( product(product(a10,a7),a7) != a10
| product(a5,a7) = a10 ),
inference(resolve,[$cnf( $equal(product(a10,a7),a5) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
product(a5,a7) = a10,
inference(resolve,[$cnf( $equal(product(product(a10,a7),a7),a10) )],[refute_0_249,refute_0_274]) ).
cnf(refute_0_276,plain,
( product(a5,a7) != a10
| product(product(a5,Y),a7) != product(product(a5,a7),product(Y,a7))
| product(product(a5,Y),a7) = product(a10,product(Y,a7)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a5,Y),a7),product(product(a5,a7),product(Y,a7))) ),[1,0],$fot(a10)]]) ).
cnf(refute_0_277,plain,
( product(product(a5,Y),a7) != product(product(a5,a7),product(Y,a7))
| product(product(a5,Y),a7) = product(a10,product(Y,a7)) ),
inference(resolve,[$cnf( $equal(product(a5,a7),a10) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
product(product(a5,Y),a7) = product(a10,product(Y,a7)),
inference(resolve,[$cnf( $equal(product(product(a5,Y),a7),product(product(a5,a7),product(Y,a7))) )],[refute_0_248,refute_0_277]) ).
cnf(refute_0_279,plain,
product(product(a5,a4),a7) = product(a10,product(a4,a7)),
inference(subst,[],[refute_0_278:[bind(Y,$fot(a4))]]) ).
cnf(refute_0_280,plain,
( product(product(X_3,a4),a7) != product(product(X_3,a7),a11)
| product(product(X_3,a7),a11) = product(product(X_3,a4),a7) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(product(product(X_3,a4),a7))),bind(Y0,$fot(product(product(X_3,a7),a11)))]]) ).
cnf(refute_0_281,plain,
product(product(X_3,a7),a11) = product(product(X_3,a4),a7),
inference(resolve,[$cnf( $equal(product(product(X_3,a4),a7),product(product(X_3,a7),a11)) )],[refute_0_232,refute_0_280]) ).
cnf(refute_0_282,plain,
product(product(a5,a7),a11) = product(product(a5,a4),a7),
inference(subst,[],[refute_0_281:[bind(X_3,$fot(a5))]]) ).
cnf(refute_0_283,plain,
( product(product(a5,a4),a7) != product(a10,product(a4,a7))
| product(product(a5,a7),a11) != product(product(a5,a4),a7)
| product(product(a5,a7),a11) = product(a10,product(a4,a7)) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a5,a7),a11))),bind(Y0,$fot(product(product(a5,a4),a7))),bind(Z0,$fot(product(a10,product(a4,a7))))]]) ).
cnf(refute_0_284,plain,
( product(product(a5,a4),a7) != product(a10,product(a4,a7))
| product(product(a5,a7),a11) = product(a10,product(a4,a7)) ),
inference(resolve,[$cnf( $equal(product(product(a5,a7),a11),product(product(a5,a4),a7)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
product(product(a5,a7),a11) = product(a10,product(a4,a7)),
inference(resolve,[$cnf( $equal(product(product(a5,a4),a7),product(a10,product(a4,a7))) )],[refute_0_279,refute_0_284]) ).
cnf(refute_0_286,plain,
( product(a10,product(a4,a7)) != a12
| product(product(a5,a7),a11) != product(a10,product(a4,a7))
| product(product(a5,a7),a11) = a12 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a5,a7),a11))),bind(Y0,$fot(product(a10,product(a4,a7)))),bind(Z0,$fot(a12))]]) ).
cnf(refute_0_287,plain,
( product(a10,product(a4,a7)) != a12
| product(product(a5,a7),a11) = a12 ),
inference(resolve,[$cnf( $equal(product(product(a5,a7),a11),product(a10,product(a4,a7))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
product(product(a5,a7),a11) = a12,
inference(resolve,[$cnf( $equal(product(a10,product(a4,a7)),a12) )],[refute_0_247,refute_0_287]) ).
cnf(refute_0_289,plain,
( product(a11,a2) != product(product(a5,a7),a11)
| product(product(a5,a7),a11) != a12
| product(a11,a2) = a12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(a11,a2),a12) ),[0],$fot(product(product(a5,a7),a11))]]) ).
cnf(refute_0_290,plain,
( product(a11,a2) != product(product(a5,a7),a11)
| product(a11,a2) = a12 ),
inference(resolve,[$cnf( $equal(product(product(a5,a7),a11),a12) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
( product(a3,a7) != product(product(a5,a7),a11)
| product(a11,a2) = a12 ),
inference(resolve,[$cnf( $equal(product(a11,a2),product(product(a5,a7),a11)) )],[refute_0_240,refute_0_290]) ).
cnf(refute_0_292,plain,
product(a11,a2) = a12,
inference(resolve,[$cnf( $equal(product(a3,a7),product(product(a5,a7),a11)) )],[refute_0_236,refute_0_291]) ).
cnf(refute_0_293,plain,
( product(a11,a2) != a12
| product(a11,a2) != product(a3,a7)
| a12 = product(a3,a7) ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,a2),product(a3,a7)) ),[0],$fot(a12)]]) ).
cnf(refute_0_294,plain,
( product(a11,a2) != product(a3,a7)
| a12 = product(a3,a7) ),
inference(resolve,[$cnf( $equal(product(a11,a2),a12) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
a12 = product(a3,a7),
inference(resolve,[$cnf( $equal(product(a11,a2),product(a3,a7)) )],[refute_0_228,refute_0_294]) ).
cnf(refute_0_296,plain,
( a12 != product(a3,a7)
| product(a3,a7) = a12 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a12)),bind(Y0,$fot(product(a3,a7)))]]) ).
cnf(refute_0_297,plain,
product(a3,a7) = a12,
inference(resolve,[$cnf( $equal(a12,product(a3,a7)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
( product(a3,a7) != a12
| product(product(a3,a7),a2) != product(a1,product(a7,a2))
| product(a12,a2) = product(a1,product(a7,a2)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a3,a7),a2),product(a1,product(a7,a2))) ),[0,0],$fot(a12)]]) ).
cnf(refute_0_299,plain,
( product(product(a3,a7),a2) != product(a1,product(a7,a2))
| product(a12,a2) = product(a1,product(a7,a2)) ),
inference(resolve,[$cnf( $equal(product(a3,a7),a12) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
product(a12,a2) = product(a1,product(a7,a2)),
inference(resolve,[$cnf( $equal(product(product(a3,a7),a2),product(a1,product(a7,a2))) )],[refute_0_203,refute_0_299]) ).
cnf(refute_0_301,plain,
product(a1,product(a7,a2)) = product(a1,product(a7,a2)),
introduced(tautology,[refl,[$fot(product(a1,product(a7,a2)))]]) ).
cnf(refute_0_302,plain,
( product(a1,product(a7,a2)) != product(a1,product(a7,a2))
| product(a7,a2) != a10
| product(a1,product(a7,a2)) = product(a1,a10) ),
introduced(tautology,[equality,[$cnf( $equal(product(a1,product(a7,a2)),product(a1,product(a7,a2))) ),[1,1],$fot(a10)]]) ).
cnf(refute_0_303,plain,
( product(a7,a2) != a10
| product(a1,product(a7,a2)) = product(a1,a10) ),
inference(resolve,[$cnf( $equal(product(a1,product(a7,a2)),product(a1,product(a7,a2))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
product(a1,product(a7,a2)) = product(a1,a10),
inference(resolve,[$cnf( $equal(product(a7,a2),a10) )],[refute_0_142,refute_0_303]) ).
cnf(refute_0_305,plain,
( product(a1,a10) != a11
| product(a1,product(a7,a2)) != product(a1,a10)
| product(a1,product(a7,a2)) = a11 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a1,product(a7,a2)))),bind(Y0,$fot(product(a1,a10))),bind(Z0,$fot(a11))]]) ).
cnf(refute_0_306,plain,
( product(a1,a10) != a11
| product(a1,product(a7,a2)) = a11 ),
inference(resolve,[$cnf( $equal(product(a1,product(a7,a2)),product(a1,a10)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
product(a1,product(a7,a2)) = a11,
inference(resolve,[$cnf( $equal(product(a1,a10),a11) )],[refute_0_158,refute_0_306]) ).
cnf(refute_0_308,plain,
( product(a1,product(a7,a2)) != a11
| product(a12,a2) != product(a1,product(a7,a2))
| product(a12,a2) = a11 ),
introduced(tautology,[equality,[$cnf( $equal(product(a12,a2),product(a1,product(a7,a2))) ),[1],$fot(a11)]]) ).
cnf(refute_0_309,plain,
( product(a12,a2) != product(a1,product(a7,a2))
| product(a12,a2) = a11 ),
inference(resolve,[$cnf( $equal(product(a1,product(a7,a2)),a11) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
product(a12,a2) = a11,
inference(resolve,[$cnf( $equal(product(a12,a2),product(a1,product(a7,a2))) )],[refute_0_300,refute_0_309]) ).
cnf(refute_0_311,plain,
( product(a12,a2) != a11
| product(a12,a2) != product(a8,a7)
| a11 = product(a8,a7) ),
introduced(tautology,[equality,[$cnf( $equal(product(a12,a2),product(a8,a7)) ),[0],$fot(a11)]]) ).
cnf(refute_0_312,plain,
( product(a12,a2) != product(a8,a7)
| a11 = product(a8,a7) ),
inference(resolve,[$cnf( $equal(product(a12,a2),a11) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
a11 = product(a8,a7),
inference(resolve,[$cnf( $equal(product(a12,a2),product(a8,a7)) )],[refute_0_198,refute_0_312]) ).
cnf(refute_0_314,plain,
( a11 != product(a8,a7)
| product(a8,a7) = a11 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a11)),bind(Y0,$fot(product(a8,a7)))]]) ).
cnf(refute_0_315,plain,
product(a8,a7) = a11,
inference(resolve,[$cnf( $equal(a11,product(a8,a7)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
( product(a8,a7) != a11
| product(product(a8,a7),a7) != a8
| product(a11,a7) = a8 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a8,a7),a7),a8) ),[0,0],$fot(a11)]]) ).
cnf(refute_0_317,plain,
( product(product(a8,a7),a7) != a8
| product(a11,a7) = a8 ),
inference(resolve,[$cnf( $equal(product(a8,a7),a11) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
product(a11,a7) = a8,
inference(resolve,[$cnf( $equal(product(product(a8,a7),a7),a8) )],[refute_0_152,refute_0_317]) ).
cnf(refute_0_319,plain,
( product(a11,a7) != a4
| product(a11,a7) != a8
| a4 = a8 ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,a7),a8) ),[0],$fot(a4)]]) ).
cnf(refute_0_320,plain,
( product(a11,a7) != a8
| a4 = a8 ),
inference(resolve,[$cnf( $equal(product(a11,a7),a4) )],[refute_0_106,refute_0_319]) ).
cnf(refute_0_321,plain,
a4 = a8,
inference(resolve,[$cnf( $equal(product(a11,a7),a8) )],[refute_0_318,refute_0_320]) ).
cnf(refute_0_322,plain,
( a4 != a8
| a8 = a4 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a4)),bind(Y0,$fot(a8))]]) ).
cnf(refute_0_323,plain,
a8 = a4,
inference(resolve,[$cnf( $equal(a4,a8) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
product(a4,a8) = product(a4,a8),
introduced(tautology,[refl,[$fot(product(a4,a8))]]) ).
cnf(refute_0_325,plain,
( a8 != a4
| product(a4,a8) != product(a4,a8)
| product(a4,a8) = product(a4,a4) ),
introduced(tautology,[equality,[$cnf( $equal(product(a4,a8),product(a4,a8)) ),[1,1],$fot(a4)]]) ).
cnf(refute_0_326,plain,
( a8 != a4
| product(a4,a8) = product(a4,a4) ),
inference(resolve,[$cnf( $equal(product(a4,a8),product(a4,a8)) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
product(a4,a8) = product(a4,a4),
inference(resolve,[$cnf( $equal(a8,a4) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
( product(a4,a4) != a4
| product(a4,a8) != product(a4,a4)
| product(a4,a8) = a4 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a4,a8))),bind(Y0,$fot(product(a4,a4))),bind(Z0,$fot(a4))]]) ).
cnf(refute_0_329,plain,
( product(a4,a4) != a4
| product(a4,a8) = a4 ),
inference(resolve,[$cnf( $equal(product(a4,a8),product(a4,a4)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
product(a4,a8) = a4,
inference(resolve,[$cnf( $equal(product(a4,a4),a4) )],[refute_0_151,refute_0_329]) ).
cnf(refute_0_331,plain,
( product(a4,a8) != a15
| product(a4,a8) != a4
| a4 = a15 ),
introduced(tautology,[equality,[$cnf( $equal(product(a4,a8),a15) ),[0],$fot(a4)]]) ).
cnf(refute_0_332,plain,
( product(a4,a8) != a15
| a4 = a15 ),
inference(resolve,[$cnf( $equal(product(a4,a8),a4) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
a4 = a15,
inference(resolve,[$cnf( $equal(product(a4,a8),a15) )],[refute_0_150,refute_0_332]) ).
cnf(refute_0_334,plain,
( a4 != a15
| a8 != a4
| a8 = a15 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(a8)),bind(Y0,$fot(a4)),bind(Z0,$fot(a15))]]) ).
cnf(refute_0_335,plain,
( a4 != a15
| a8 = a15 ),
inference(resolve,[$cnf( $equal(a8,a4) )],[refute_0_323,refute_0_334]) ).
cnf(refute_0_336,plain,
a8 = a15,
inference(resolve,[$cnf( $equal(a4,a15) )],[refute_0_333,refute_0_335]) ).
cnf(refute_0_337,plain,
product(a8,a3) = product(a8,a3),
introduced(tautology,[refl,[$fot(product(a8,a3))]]) ).
cnf(refute_0_338,plain,
( a8 != a15
| product(a8,a3) != product(a8,a3)
| product(a8,a3) = product(a15,a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(a8,a3),product(a8,a3)) ),[1,0],$fot(a15)]]) ).
cnf(refute_0_339,plain,
( a8 != a15
| product(a8,a3) = product(a15,a3) ),
inference(resolve,[$cnf( $equal(product(a8,a3),product(a8,a3)) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
product(a8,a3) = product(a15,a3),
inference(resolve,[$cnf( $equal(a8,a15) )],[refute_0_336,refute_0_339]) ).
cnf(refute_0_341,plain,
( product(a15,a3) != a14
| product(a8,a3) != product(a15,a3)
| product(a8,a3) = a14 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a8,a3))),bind(Y0,$fot(product(a15,a3))),bind(Z0,$fot(a14))]]) ).
cnf(refute_0_342,plain,
( product(a15,a3) != a14
| product(a8,a3) = a14 ),
inference(resolve,[$cnf( $equal(product(a8,a3),product(a15,a3)) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
product(a8,a3) = a14,
inference(resolve,[$cnf( $equal(product(a15,a3),a14) )],[refute_0_146,refute_0_342]) ).
cnf(refute_0_344,plain,
( product(a8,a3) != a14
| product(a8,a3) != a7
| a14 = a7 ),
introduced(tautology,[equality,[$cnf( $equal(product(a8,a3),a7) ),[0],$fot(a14)]]) ).
cnf(refute_0_345,plain,
( product(a8,a3) != a7
| a14 = a7 ),
inference(resolve,[$cnf( $equal(product(a8,a3),a14) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
a14 = a7,
inference(resolve,[$cnf( $equal(product(a8,a3),a7) )],[refute_0_43,refute_0_345]) ).
cnf(refute_0_347,plain,
( a14 != a7
| a7 = a14 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a14)),bind(Y0,$fot(a7))]]) ).
cnf(refute_0_348,plain,
a7 = a14,
inference(resolve,[$cnf( $equal(a14,a7) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
product(a7,a2) = product(a7,a2),
introduced(tautology,[refl,[$fot(product(a7,a2))]]) ).
cnf(refute_0_350,plain,
( a7 != a14
| product(a7,a2) != product(a7,a2)
| product(a7,a2) = product(a14,a2) ),
introduced(tautology,[equality,[$cnf( $equal(product(a7,a2),product(a7,a2)) ),[1,0],$fot(a14)]]) ).
cnf(refute_0_351,plain,
( a7 != a14
| product(a7,a2) = product(a14,a2) ),
inference(resolve,[$cnf( $equal(product(a7,a2),product(a7,a2)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
product(a7,a2) = product(a14,a2),
inference(resolve,[$cnf( $equal(a7,a14) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
( product(a7,a2) != a10
| product(a7,a2) != product(a14,a2)
| product(a14,a2) = a10 ),
introduced(tautology,[equality,[$cnf( $equal(product(a7,a2),a10) ),[0],$fot(product(a14,a2))]]) ).
cnf(refute_0_354,plain,
( product(a7,a2) != a10
| product(a14,a2) = a10 ),
inference(resolve,[$cnf( $equal(product(a7,a2),product(a14,a2)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
product(a14,a2) = a10,
inference(resolve,[$cnf( $equal(product(a7,a2),a10) )],[refute_0_142,refute_0_354]) ).
cnf(refute_0_356,plain,
product(product(X_3,a6),a8) = product(product(X_3,a8),product(a6,a8)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a6)),bind(Z,$fot(a8))]]) ).
cnf(refute_0_357,plain,
product(product(a13,a8),a8) = a13,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a13)),bind(Y,$fot(a8))]]) ).
cnf(refute_0_358,plain,
( product(a13,a8) != a6
| product(product(a13,a8),a8) != a13
| product(a6,a8) = a13 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a13,a8),a8),a13) ),[0,0],$fot(a6)]]) ).
cnf(refute_0_359,plain,
( product(product(a13,a8),a8) != a13
| product(a6,a8) = a13 ),
inference(resolve,[$cnf( $equal(product(a13,a8),a6) )],[knot_10,refute_0_358]) ).
cnf(refute_0_360,plain,
product(a6,a8) = a13,
inference(resolve,[$cnf( $equal(product(product(a13,a8),a8),a13) )],[refute_0_357,refute_0_359]) ).
cnf(refute_0_361,plain,
( product(a6,a8) != a13
| product(product(X_3,a6),a8) != product(product(X_3,a8),product(a6,a8))
| product(product(X_3,a6),a8) = product(product(X_3,a8),a13) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a6),a8),product(product(X_3,a8),product(a6,a8))) ),[1,1],$fot(a13)]]) ).
cnf(refute_0_362,plain,
( product(product(X_3,a6),a8) != product(product(X_3,a8),product(a6,a8))
| product(product(X_3,a6),a8) = product(product(X_3,a8),a13) ),
inference(resolve,[$cnf( $equal(product(a6,a8),a13) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
product(product(X_3,a6),a8) = product(product(X_3,a8),a13),
inference(resolve,[$cnf( $equal(product(product(X_3,a6),a8),product(product(X_3,a8),product(a6,a8))) )],[refute_0_356,refute_0_362]) ).
cnf(refute_0_364,plain,
product(product(X_3,a6),a8) = product(product(X_3,a6),a8),
introduced(tautology,[refl,[$fot(product(product(X_3,a6),a8))]]) ).
cnf(refute_0_365,plain,
( a8 != a15
| product(product(X_3,a6),a8) != product(product(X_3,a6),a8)
| product(product(X_3,a6),a8) = product(product(X_3,a6),a15) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a6),a8),product(product(X_3,a6),a8)) ),[1,1],$fot(a15)]]) ).
cnf(refute_0_366,plain,
( a8 != a15
| product(product(X_3,a6),a8) = product(product(X_3,a6),a15) ),
inference(resolve,[$cnf( $equal(product(product(X_3,a6),a8),product(product(X_3,a6),a8)) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
product(product(X_3,a6),a8) = product(product(X_3,a6),a15),
inference(resolve,[$cnf( $equal(a8,a15) )],[refute_0_336,refute_0_366]) ).
cnf(refute_0_368,plain,
( product(product(X_3,a6),a8) != product(product(X_3,a6),a15)
| product(product(X_3,a6),a8) != product(product(X_3,a8),a13)
| product(product(X_3,a6),a15) = product(product(X_3,a8),a13) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a6),a8),product(product(X_3,a8),a13)) ),[0],$fot(product(product(X_3,a6),a15))]]) ).
cnf(refute_0_369,plain,
( product(product(X_3,a6),a8) != product(product(X_3,a8),a13)
| product(product(X_3,a6),a15) = product(product(X_3,a8),a13) ),
inference(resolve,[$cnf( $equal(product(product(X_3,a6),a8),product(product(X_3,a6),a15)) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
product(X_3,a8) = product(X_3,a8),
introduced(tautology,[refl,[$fot(product(X_3,a8))]]) ).
cnf(refute_0_371,plain,
( a8 != a15
| product(X_3,a8) != product(X_3,a8)
| product(X_3,a8) = product(X_3,a15) ),
introduced(tautology,[equality,[$cnf( $equal(product(X_3,a8),product(X_3,a8)) ),[1,1],$fot(a15)]]) ).
cnf(refute_0_372,plain,
( a8 != a15
| product(X_3,a8) = product(X_3,a15) ),
inference(resolve,[$cnf( $equal(product(X_3,a8),product(X_3,a8)) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
product(X_3,a8) = product(X_3,a15),
inference(resolve,[$cnf( $equal(a8,a15) )],[refute_0_336,refute_0_372]) ).
cnf(refute_0_374,plain,
product(product(X_3,a8),a13) = product(product(X_3,a8),a13),
introduced(tautology,[refl,[$fot(product(product(X_3,a8),a13))]]) ).
cnf(refute_0_375,plain,
( product(X_3,a8) != product(X_3,a15)
| product(product(X_3,a8),a13) != product(product(X_3,a8),a13)
| product(product(X_3,a8),a13) = product(product(X_3,a15),a13) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a8),a13),product(product(X_3,a8),a13)) ),[1,0],$fot(product(X_3,a15))]]) ).
cnf(refute_0_376,plain,
( product(X_3,a8) != product(X_3,a15)
| product(product(X_3,a8),a13) = product(product(X_3,a15),a13) ),
inference(resolve,[$cnf( $equal(product(product(X_3,a8),a13),product(product(X_3,a8),a13)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
product(product(X_3,a8),a13) = product(product(X_3,a15),a13),
inference(resolve,[$cnf( $equal(product(X_3,a8),product(X_3,a15)) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
( product(product(X_3,a6),a15) != product(product(X_3,a8),a13)
| product(product(X_3,a8),a13) != product(product(X_3,a15),a13)
| product(product(X_3,a6),a15) = product(product(X_3,a15),a13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X_3,a6),a15),product(product(X_3,a15),a13)) ),[0],$fot(product(product(X_3,a8),a13))]]) ).
cnf(refute_0_379,plain,
( product(product(X_3,a6),a15) != product(product(X_3,a8),a13)
| product(product(X_3,a6),a15) = product(product(X_3,a15),a13) ),
inference(resolve,[$cnf( $equal(product(product(X_3,a8),a13),product(product(X_3,a15),a13)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( product(product(X_3,a6),a8) != product(product(X_3,a8),a13)
| product(product(X_3,a6),a15) = product(product(X_3,a15),a13) ),
inference(resolve,[$cnf( $equal(product(product(X_3,a6),a15),product(product(X_3,a8),a13)) )],[refute_0_369,refute_0_379]) ).
cnf(refute_0_381,plain,
product(product(X_3,a6),a15) = product(product(X_3,a15),a13),
inference(resolve,[$cnf( $equal(product(product(X_3,a6),a8),product(product(X_3,a8),a13)) )],[refute_0_363,refute_0_380]) ).
cnf(refute_0_382,plain,
product(product(X,a6),a15) = product(product(X,a15),a13),
inference(subst,[],[refute_0_381:[bind(X_3,$fot(X))]]) ).
cnf(refute_0_383,plain,
product(product(X,a6),a4) = product(product(X,a6),a4),
introduced(tautology,[refl,[$fot(product(product(X,a6),a4))]]) ).
cnf(refute_0_384,plain,
( a4 != a15
| product(product(X,a6),a4) != product(product(X,a6),a4)
| product(product(X,a6),a4) = product(product(X,a6),a15) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X,a6),a4),product(product(X,a6),a4)) ),[1,1],$fot(a15)]]) ).
cnf(refute_0_385,plain,
( a4 != a15
| product(product(X,a6),a4) = product(product(X,a6),a15) ),
inference(resolve,[$cnf( $equal(product(product(X,a6),a4),product(product(X,a6),a4)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
product(product(X,a6),a4) = product(product(X,a6),a15),
inference(resolve,[$cnf( $equal(a4,a15) )],[refute_0_333,refute_0_385]) ).
cnf(refute_0_387,plain,
( product(product(X,a6),a15) != product(product(X,a15),a13)
| product(product(X,a6),a4) != product(product(X,a6),a15)
| product(product(X,a6),a4) = product(product(X,a15),a13) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(X,a6),a4))),bind(Y0,$fot(product(product(X,a6),a15))),bind(Z0,$fot(product(product(X,a15),a13)))]]) ).
cnf(refute_0_388,plain,
( product(product(X,a6),a15) != product(product(X,a15),a13)
| product(product(X,a6),a4) = product(product(X,a15),a13) ),
inference(resolve,[$cnf( $equal(product(product(X,a6),a4),product(product(X,a6),a15)) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
product(product(X,a6),a4) = product(product(X,a15),a13),
inference(resolve,[$cnf( $equal(product(product(X,a6),a15),product(product(X,a15),a13)) )],[refute_0_382,refute_0_388]) ).
cnf(refute_0_390,plain,
( product(product(X,a3),a6) != product(product(X,a6),a4)
| product(product(X,a6),a4) != product(product(X,a15),a13)
| product(product(X,a3),a6) = product(product(X,a15),a13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X,a3),a6),product(product(X,a15),a13)) ),[0],$fot(product(product(X,a6),a4))]]) ).
cnf(refute_0_391,plain,
( product(product(X,a3),a6) != product(product(X,a6),a4)
| product(product(X,a3),a6) = product(product(X,a15),a13) ),
inference(resolve,[$cnf( $equal(product(product(X,a6),a4),product(product(X,a15),a13)) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
product(product(X,a3),a6) = product(product(X,a15),a13),
inference(resolve,[$cnf( $equal(product(product(X,a3),a6),product(product(X,a6),a4)) )],[refute_0_127,refute_0_391]) ).
cnf(refute_0_393,plain,
product(product(a2,a3),a6) = product(product(a2,a15),a13),
inference(subst,[],[refute_0_392:[bind(X,$fot(a2))]]) ).
cnf(refute_0_394,plain,
( product(product(a2,a3),a6) != product(product(a2,a15),a13)
| product(product(a2,a3),a6) != product(product(a6,a4),a3)
| product(product(a2,a15),a13) = product(product(a6,a4),a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a2,a3),a6),product(product(a6,a4),a3)) ),[0],$fot(product(product(a2,a15),a13))]]) ).
cnf(refute_0_395,plain,
( product(product(a2,a3),a6) != product(product(a6,a4),a3)
| product(product(a2,a15),a13) = product(product(a6,a4),a3) ),
inference(resolve,[$cnf( $equal(product(product(a2,a3),a6),product(product(a2,a15),a13)) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
product(a14,a14) = a14,
inference(subst,[],[involutory_quandle:[bind(X,$fot(a14))]]) ).
cnf(refute_0_397,plain,
product(a4,a3) = product(a4,a3),
introduced(tautology,[refl,[$fot(product(a4,a3))]]) ).
cnf(refute_0_398,plain,
( a4 != a15
| product(a4,a3) != product(a4,a3)
| product(a4,a3) = product(a15,a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(a4,a3),product(a4,a3)) ),[1,0],$fot(a15)]]) ).
cnf(refute_0_399,plain,
( a4 != a15
| product(a4,a3) = product(a15,a3) ),
inference(resolve,[$cnf( $equal(product(a4,a3),product(a4,a3)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
product(a4,a3) = product(a15,a3),
inference(resolve,[$cnf( $equal(a4,a15) )],[refute_0_333,refute_0_399]) ).
cnf(refute_0_401,plain,
( product(a15,a3) != a14
| product(a4,a3) != product(a15,a3)
| product(a4,a3) = a14 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a4,a3))),bind(Y0,$fot(product(a15,a3))),bind(Z0,$fot(a14))]]) ).
cnf(refute_0_402,plain,
( product(a15,a3) != a14
| product(a4,a3) = a14 ),
inference(resolve,[$cnf( $equal(product(a4,a3),product(a15,a3)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
product(a4,a3) = a14,
inference(resolve,[$cnf( $equal(product(a15,a3),a14) )],[refute_0_146,refute_0_402]) ).
cnf(refute_0_404,plain,
product(a14,product(a4,a3)) = product(a14,product(a4,a3)),
introduced(tautology,[refl,[$fot(product(a14,product(a4,a3)))]]) ).
cnf(refute_0_405,plain,
( product(a14,product(a4,a3)) != product(a14,product(a4,a3))
| product(a4,a3) != a14
| product(a14,product(a4,a3)) = product(a14,a14) ),
introduced(tautology,[equality,[$cnf( $equal(product(a14,product(a4,a3)),product(a14,product(a4,a3))) ),[1,1],$fot(a14)]]) ).
cnf(refute_0_406,plain,
( product(a4,a3) != a14
| product(a14,product(a4,a3)) = product(a14,a14) ),
inference(resolve,[$cnf( $equal(product(a14,product(a4,a3)),product(a14,product(a4,a3))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
product(a14,product(a4,a3)) = product(a14,a14),
inference(resolve,[$cnf( $equal(product(a4,a3),a14) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
( product(a14,a14) != a14
| product(a14,product(a4,a3)) != product(a14,a14)
| product(a14,product(a4,a3)) = a14 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a14,product(a4,a3)))),bind(Y0,$fot(product(a14,a14))),bind(Z0,$fot(a14))]]) ).
cnf(refute_0_409,plain,
( product(a14,a14) != a14
| product(a14,product(a4,a3)) = a14 ),
inference(resolve,[$cnf( $equal(product(a14,product(a4,a3)),product(a14,a14)) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
product(a14,product(a4,a3)) = a14,
inference(resolve,[$cnf( $equal(product(a14,a14),a14) )],[refute_0_396,refute_0_409]) ).
cnf(refute_0_411,plain,
product(product(a6,Y),product(a12,a7)) = product(product(a6,product(a12,a7)),product(Y,product(a12,a7))),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a6)),bind(Z,$fot(product(a12,a7)))]]) ).
cnf(refute_0_412,plain,
product(product(a2,X_4),a7) = product(product(a2,a7),product(X_4,a7)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a2)),bind(Y,$fot(X_4)),bind(Z,$fot(a7))]]) ).
cnf(refute_0_413,plain,
( product(a2,a7) != a6
| product(product(a2,X_4),a7) != product(product(a2,a7),product(X_4,a7))
| product(product(a2,X_4),a7) = product(a6,product(X_4,a7)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a2,X_4),a7),product(product(a2,a7),product(X_4,a7))) ),[1,0],$fot(a6)]]) ).
cnf(refute_0_414,plain,
( product(product(a2,X_4),a7) != product(product(a2,a7),product(X_4,a7))
| product(product(a2,X_4),a7) = product(a6,product(X_4,a7)) ),
inference(resolve,[$cnf( $equal(product(a2,a7),a6) )],[refute_0_23,refute_0_413]) ).
cnf(refute_0_415,plain,
product(product(a2,X_4),a7) = product(a6,product(X_4,a7)),
inference(resolve,[$cnf( $equal(product(product(a2,X_4),a7),product(product(a2,a7),product(X_4,a7))) )],[refute_0_412,refute_0_414]) ).
cnf(refute_0_416,plain,
product(product(a2,a12),a7) = product(a6,product(a12,a7)),
inference(subst,[],[refute_0_415:[bind(X_4,$fot(a12))]]) ).
cnf(refute_0_417,plain,
( product(a2,a12) != a14
| product(product(a2,a12),a7) != product(a6,product(a12,a7))
| product(a14,a7) = product(a6,product(a12,a7)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a2,a12),a7),product(a6,product(a12,a7))) ),[0,0],$fot(a14)]]) ).
cnf(refute_0_418,plain,
( product(product(a2,a12),a7) != product(a6,product(a12,a7))
| product(a14,a7) = product(a6,product(a12,a7)) ),
inference(resolve,[$cnf( $equal(product(a2,a12),a14) )],[knot_12,refute_0_417]) ).
cnf(refute_0_419,plain,
product(a14,a7) = product(a6,product(a12,a7)),
inference(resolve,[$cnf( $equal(product(product(a2,a12),a7),product(a6,product(a12,a7))) )],[refute_0_416,refute_0_418]) ).
cnf(refute_0_420,plain,
( product(a14,a7) != product(a6,product(a12,a7))
| product(a6,product(a12,a7)) = product(a14,a7) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(product(a14,a7))),bind(Y0,$fot(product(a6,product(a12,a7))))]]) ).
cnf(refute_0_421,plain,
product(a6,product(a12,a7)) = product(a14,a7),
inference(resolve,[$cnf( $equal(product(a14,a7),product(a6,product(a12,a7))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
( product(a6,product(a12,a7)) != product(a14,a7)
| product(product(a6,Y),product(a12,a7)) != product(product(a6,product(a12,a7)),product(Y,product(a12,a7)))
| product(product(a6,Y),product(a12,a7)) = product(product(a14,a7),product(Y,product(a12,a7))) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,Y),product(a12,a7)),product(product(a6,product(a12,a7)),product(Y,product(a12,a7)))) ),[1,0],$fot(product(a14,a7))]]) ).
cnf(refute_0_423,plain,
( product(product(a6,Y),product(a12,a7)) != product(product(a6,product(a12,a7)),product(Y,product(a12,a7)))
| product(product(a6,Y),product(a12,a7)) = product(product(a14,a7),product(Y,product(a12,a7))) ),
inference(resolve,[$cnf( $equal(product(a6,product(a12,a7)),product(a14,a7)) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
product(product(a6,Y),product(a12,a7)) = product(product(a14,a7),product(Y,product(a12,a7))),
inference(resolve,[$cnf( $equal(product(product(a6,Y),product(a12,a7)),product(product(a6,product(a12,a7)),product(Y,product(a12,a7)))) )],[refute_0_411,refute_0_423]) ).
cnf(refute_0_425,plain,
product(product(a3,a7),a7) = a3,
inference(subst,[],[involutory_quandle_01:[bind(X,$fot(a3)),bind(Y,$fot(a7))]]) ).
cnf(refute_0_426,plain,
( product(a3,a7) != a12
| product(product(a3,a7),a7) != a3
| product(a12,a7) = a3 ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a3,a7),a7),a3) ),[0,0],$fot(a12)]]) ).
cnf(refute_0_427,plain,
( product(product(a3,a7),a7) != a3
| product(a12,a7) = a3 ),
inference(resolve,[$cnf( $equal(product(a3,a7),a12) )],[refute_0_297,refute_0_426]) ).
cnf(refute_0_428,plain,
product(a12,a7) = a3,
inference(resolve,[$cnf( $equal(product(product(a3,a7),a7),a3) )],[refute_0_425,refute_0_427]) ).
cnf(refute_0_429,plain,
product(product(a6,Y),product(a12,a7)) = product(product(a6,Y),product(a12,a7)),
introduced(tautology,[refl,[$fot(product(product(a6,Y),product(a12,a7)))]]) ).
cnf(refute_0_430,plain,
( product(a12,a7) != a3
| product(product(a6,Y),product(a12,a7)) != product(product(a6,Y),product(a12,a7))
| product(product(a6,Y),product(a12,a7)) = product(product(a6,Y),a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,Y),product(a12,a7)),product(product(a6,Y),product(a12,a7))) ),[1,1],$fot(a3)]]) ).
cnf(refute_0_431,plain,
( product(a12,a7) != a3
| product(product(a6,Y),product(a12,a7)) = product(product(a6,Y),a3) ),
inference(resolve,[$cnf( $equal(product(product(a6,Y),product(a12,a7)),product(product(a6,Y),product(a12,a7))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
product(product(a6,Y),product(a12,a7)) = product(product(a6,Y),a3),
inference(resolve,[$cnf( $equal(product(a12,a7),a3) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
( product(product(a6,Y),product(a12,a7)) != product(product(a14,a7),product(Y,product(a12,a7)))
| product(product(a6,Y),product(a12,a7)) != product(product(a6,Y),a3)
| product(product(a6,Y),a3) = product(product(a14,a7),product(Y,product(a12,a7))) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,Y),product(a12,a7)),product(product(a14,a7),product(Y,product(a12,a7)))) ),[0],$fot(product(product(a6,Y),a3))]]) ).
cnf(refute_0_434,plain,
( product(product(a6,Y),product(a12,a7)) != product(product(a14,a7),product(Y,product(a12,a7)))
| product(product(a6,Y),a3) = product(product(a14,a7),product(Y,product(a12,a7))) ),
inference(resolve,[$cnf( $equal(product(product(a6,Y),product(a12,a7)),product(product(a6,Y),a3)) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
product(Y,product(a12,a7)) = product(Y,product(a12,a7)),
introduced(tautology,[refl,[$fot(product(Y,product(a12,a7)))]]) ).
cnf(refute_0_436,plain,
( product(Y,product(a12,a7)) != product(Y,product(a12,a7))
| product(a12,a7) != a3
| product(Y,product(a12,a7)) = product(Y,a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(Y,product(a12,a7)),product(Y,product(a12,a7))) ),[1,1],$fot(a3)]]) ).
cnf(refute_0_437,plain,
( product(a12,a7) != a3
| product(Y,product(a12,a7)) = product(Y,a3) ),
inference(resolve,[$cnf( $equal(product(Y,product(a12,a7)),product(Y,product(a12,a7))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
product(Y,product(a12,a7)) = product(Y,a3),
inference(resolve,[$cnf( $equal(product(a12,a7),a3) )],[refute_0_428,refute_0_437]) ).
cnf(refute_0_439,plain,
product(product(a14,a7),product(Y,product(a12,a7))) = product(product(a14,a7),product(Y,product(a12,a7))),
introduced(tautology,[refl,[$fot(product(product(a14,a7),product(Y,product(a12,a7))))]]) ).
cnf(refute_0_440,plain,
( product(Y,product(a12,a7)) != product(Y,a3)
| product(product(a14,a7),product(Y,product(a12,a7))) != product(product(a14,a7),product(Y,product(a12,a7)))
| product(product(a14,a7),product(Y,product(a12,a7))) = product(product(a14,a7),product(Y,a3)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a14,a7),product(Y,product(a12,a7))),product(product(a14,a7),product(Y,product(a12,a7)))) ),[1,1],$fot(product(Y,a3))]]) ).
cnf(refute_0_441,plain,
( product(Y,product(a12,a7)) != product(Y,a3)
| product(product(a14,a7),product(Y,product(a12,a7))) = product(product(a14,a7),product(Y,a3)) ),
inference(resolve,[$cnf( $equal(product(product(a14,a7),product(Y,product(a12,a7))),product(product(a14,a7),product(Y,product(a12,a7)))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
product(product(a14,a7),product(Y,product(a12,a7))) = product(product(a14,a7),product(Y,a3)),
inference(resolve,[$cnf( $equal(product(Y,product(a12,a7)),product(Y,a3)) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
( product(product(a14,a7),product(Y,product(a12,a7))) != product(product(a14,a7),product(Y,a3))
| product(product(a6,Y),a3) != product(product(a14,a7),product(Y,product(a12,a7)))
| product(product(a6,Y),a3) = product(product(a14,a7),product(Y,a3)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,Y),a3),product(product(a14,a7),product(Y,product(a12,a7)))) ),[1],$fot(product(product(a14,a7),product(Y,a3)))]]) ).
cnf(refute_0_444,plain,
( product(product(a6,Y),a3) != product(product(a14,a7),product(Y,product(a12,a7)))
| product(product(a6,Y),a3) = product(product(a14,a7),product(Y,a3)) ),
inference(resolve,[$cnf( $equal(product(product(a14,a7),product(Y,product(a12,a7))),product(product(a14,a7),product(Y,a3))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
( product(product(a6,Y),product(a12,a7)) != product(product(a14,a7),product(Y,product(a12,a7)))
| product(product(a6,Y),a3) = product(product(a14,a7),product(Y,a3)) ),
inference(resolve,[$cnf( $equal(product(product(a6,Y),a3),product(product(a14,a7),product(Y,product(a12,a7)))) )],[refute_0_434,refute_0_444]) ).
cnf(refute_0_446,plain,
product(product(a6,Y),a3) = product(product(a14,a7),product(Y,a3)),
inference(resolve,[$cnf( $equal(product(product(a6,Y),product(a12,a7)),product(product(a14,a7),product(Y,product(a12,a7)))) )],[refute_0_424,refute_0_445]) ).
cnf(refute_0_447,plain,
product(a14,a7) = product(a14,a7),
introduced(tautology,[refl,[$fot(product(a14,a7))]]) ).
cnf(refute_0_448,plain,
( a7 != a14
| product(a14,a7) != product(a14,a7)
| product(a14,a7) = product(a14,a14) ),
introduced(tautology,[equality,[$cnf( $equal(product(a14,a7),product(a14,a7)) ),[1,1],$fot(a14)]]) ).
cnf(refute_0_449,plain,
( a7 != a14
| product(a14,a7) = product(a14,a14) ),
inference(resolve,[$cnf( $equal(product(a14,a7),product(a14,a7)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
product(a14,a7) = product(a14,a14),
inference(resolve,[$cnf( $equal(a7,a14) )],[refute_0_348,refute_0_449]) ).
cnf(refute_0_451,plain,
( product(a14,a14) != a14
| product(a14,a7) != product(a14,a14)
| product(a14,a7) = a14 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a14,a7))),bind(Y0,$fot(product(a14,a14))),bind(Z0,$fot(a14))]]) ).
cnf(refute_0_452,plain,
( product(a14,a14) != a14
| product(a14,a7) = a14 ),
inference(resolve,[$cnf( $equal(product(a14,a7),product(a14,a14)) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
product(a14,a7) = a14,
inference(resolve,[$cnf( $equal(product(a14,a14),a14) )],[refute_0_396,refute_0_452]) ).
cnf(refute_0_454,plain,
product(product(a14,a7),product(Y,a3)) = product(product(a14,a7),product(Y,a3)),
introduced(tautology,[refl,[$fot(product(product(a14,a7),product(Y,a3)))]]) ).
cnf(refute_0_455,plain,
( product(a14,a7) != a14
| product(product(a14,a7),product(Y,a3)) != product(product(a14,a7),product(Y,a3))
| product(product(a14,a7),product(Y,a3)) = product(a14,product(Y,a3)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a14,a7),product(Y,a3)),product(product(a14,a7),product(Y,a3))) ),[1,0],$fot(a14)]]) ).
cnf(refute_0_456,plain,
( product(a14,a7) != a14
| product(product(a14,a7),product(Y,a3)) = product(a14,product(Y,a3)) ),
inference(resolve,[$cnf( $equal(product(product(a14,a7),product(Y,a3)),product(product(a14,a7),product(Y,a3))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
product(product(a14,a7),product(Y,a3)) = product(a14,product(Y,a3)),
inference(resolve,[$cnf( $equal(product(a14,a7),a14) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
( product(product(a14,a7),product(Y,a3)) != product(a14,product(Y,a3))
| product(product(a6,Y),a3) != product(product(a14,a7),product(Y,a3))
| product(product(a6,Y),a3) = product(a14,product(Y,a3)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,Y),a3),product(product(a14,a7),product(Y,a3))) ),[1],$fot(product(a14,product(Y,a3)))]]) ).
cnf(refute_0_459,plain,
( product(product(a6,Y),a3) != product(product(a14,a7),product(Y,a3))
| product(product(a6,Y),a3) = product(a14,product(Y,a3)) ),
inference(resolve,[$cnf( $equal(product(product(a14,a7),product(Y,a3)),product(a14,product(Y,a3))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
product(product(a6,Y),a3) = product(a14,product(Y,a3)),
inference(resolve,[$cnf( $equal(product(product(a6,Y),a3),product(product(a14,a7),product(Y,a3))) )],[refute_0_446,refute_0_459]) ).
cnf(refute_0_461,plain,
product(product(a6,a4),a3) = product(a14,product(a4,a3)),
inference(subst,[],[refute_0_460:[bind(Y,$fot(a4))]]) ).
cnf(refute_0_462,plain,
( product(a14,product(a4,a3)) != a14
| product(product(a6,a4),a3) != product(a14,product(a4,a3))
| product(product(a6,a4),a3) = a14 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a6,a4),a3))),bind(Y0,$fot(product(a14,product(a4,a3)))),bind(Z0,$fot(a14))]]) ).
cnf(refute_0_463,plain,
( product(a14,product(a4,a3)) != a14
| product(product(a6,a4),a3) = a14 ),
inference(resolve,[$cnf( $equal(product(product(a6,a4),a3),product(a14,product(a4,a3))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
product(product(a6,a4),a3) = a14,
inference(resolve,[$cnf( $equal(product(a14,product(a4,a3)),a14) )],[refute_0_410,refute_0_463]) ).
cnf(refute_0_465,plain,
( product(product(a2,a15),a13) != product(product(a6,a4),a3)
| product(product(a6,a4),a3) != a14
| product(product(a2,a15),a13) = a14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a2,a15),a13),a14) ),[0],$fot(product(product(a6,a4),a3))]]) ).
cnf(refute_0_466,plain,
( product(product(a2,a15),a13) != product(product(a6,a4),a3)
| product(product(a2,a15),a13) = a14 ),
inference(resolve,[$cnf( $equal(product(product(a6,a4),a3),a14) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
( product(product(a2,a3),a6) != product(product(a6,a4),a3)
| product(product(a2,a15),a13) = a14 ),
inference(resolve,[$cnf( $equal(product(product(a2,a15),a13),product(product(a6,a4),a3)) )],[refute_0_395,refute_0_466]) ).
cnf(refute_0_468,plain,
product(product(a2,a15),a13) = a14,
inference(resolve,[$cnf( $equal(product(product(a2,a3),a6),product(product(a6,a4),a3)) )],[refute_0_133,refute_0_467]) ).
cnf(refute_0_469,plain,
( product(product(a2,a15),a13) != a14
| product(product(a2,a3),a6) != product(product(a2,a15),a13)
| product(product(a2,a3),a6) = a14 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a2,a3),a6))),bind(Y0,$fot(product(product(a2,a15),a13))),bind(Z0,$fot(a14))]]) ).
cnf(refute_0_470,plain,
( product(product(a2,a15),a13) != a14
| product(product(a2,a3),a6) = a14 ),
inference(resolve,[$cnf( $equal(product(product(a2,a3),a6),product(product(a2,a15),a13)) )],[refute_0_393,refute_0_469]) ).
cnf(refute_0_471,plain,
product(product(a2,a3),a6) = a14,
inference(resolve,[$cnf( $equal(product(product(a2,a15),a13),a14) )],[refute_0_468,refute_0_470]) ).
cnf(refute_0_472,plain,
product(product(product(a2,a3),a6),a2) = product(product(product(a2,a3),a6),a2),
introduced(tautology,[refl,[$fot(product(product(product(a2,a3),a6),a2))]]) ).
cnf(refute_0_473,plain,
( product(product(a2,a3),a6) != a14
| product(product(product(a2,a3),a6),a2) != product(product(product(a2,a3),a6),a2)
| product(product(product(a2,a3),a6),a2) = product(a14,a2) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(product(a2,a3),a6),a2),product(product(product(a2,a3),a6),a2)) ),[1,0],$fot(a14)]]) ).
cnf(refute_0_474,plain,
( product(product(a2,a3),a6) != a14
| product(product(product(a2,a3),a6),a2) = product(a14,a2) ),
inference(resolve,[$cnf( $equal(product(product(product(a2,a3),a6),a2),product(product(product(a2,a3),a6),a2)) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
product(product(product(a2,a3),a6),a2) = product(a14,a2),
inference(resolve,[$cnf( $equal(product(product(a2,a3),a6),a14) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( product(a14,a2) != a10
| product(product(product(a2,a3),a6),a2) != product(a14,a2)
| product(product(product(a2,a3),a6),a2) = a10 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(product(a2,a3),a6),a2))),bind(Y0,$fot(product(a14,a2))),bind(Z0,$fot(a10))]]) ).
cnf(refute_0_477,plain,
( product(a14,a2) != a10
| product(product(product(a2,a3),a6),a2) = a10 ),
inference(resolve,[$cnf( $equal(product(product(product(a2,a3),a6),a2),product(a14,a2)) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
product(product(product(a2,a3),a6),a2) = a10,
inference(resolve,[$cnf( $equal(product(a14,a2),a10) )],[refute_0_355,refute_0_477]) ).
cnf(refute_0_479,plain,
( product(product(product(a2,a3),a6),a2) != a10
| product(product(product(a2,a3),a6),a2) != product(product(product(a6,a4),a2),a1)
| a10 = product(product(product(a6,a4),a2),a1) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(product(a2,a3),a6),a2),product(product(product(a6,a4),a2),a1)) ),[0],$fot(a10)]]) ).
cnf(refute_0_480,plain,
( product(product(product(a2,a3),a6),a2) != product(product(product(a6,a4),a2),a1)
| a10 = product(product(product(a6,a4),a2),a1) ),
inference(resolve,[$cnf( $equal(product(product(product(a2,a3),a6),a2),a10) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
product(a1,product(a9,a1)) = product(a1,product(a9,a1)),
introduced(tautology,[refl,[$fot(product(a1,product(a9,a1)))]]) ).
cnf(refute_0_482,plain,
( product(a1,product(a9,a1)) != product(a1,product(a9,a1))
| product(a9,a1) != a10
| product(a1,product(a9,a1)) = product(a1,a10) ),
introduced(tautology,[equality,[$cnf( $equal(product(a1,product(a9,a1)),product(a1,product(a9,a1))) ),[1,1],$fot(a10)]]) ).
cnf(refute_0_483,plain,
( product(a9,a1) != a10
| product(a1,product(a9,a1)) = product(a1,a10) ),
inference(resolve,[$cnf( $equal(product(a1,product(a9,a1)),product(a1,product(a9,a1))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
product(a1,product(a9,a1)) = product(a1,a10),
inference(resolve,[$cnf( $equal(product(a9,a1),a10) )],[knot_07,refute_0_483]) ).
cnf(refute_0_485,plain,
( product(a1,a10) != a11
| product(a1,product(a9,a1)) != product(a1,a10)
| product(a1,product(a9,a1)) = a11 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a1,product(a9,a1)))),bind(Y0,$fot(product(a1,a10))),bind(Z0,$fot(a11))]]) ).
cnf(refute_0_486,plain,
( product(a1,a10) != a11
| product(a1,product(a9,a1)) = a11 ),
inference(resolve,[$cnf( $equal(product(a1,product(a9,a1)),product(a1,a10)) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
product(a1,product(a9,a1)) = a11,
inference(resolve,[$cnf( $equal(product(a1,a10),a11) )],[refute_0_158,refute_0_486]) ).
cnf(refute_0_488,plain,
product(product(a1,a9),a1) = product(a1,product(a9,a1)),
inference(subst,[],[refute_0_87:[bind(X_4,$fot(a9)),bind(X_5,$fot(a1))]]) ).
cnf(refute_0_489,plain,
( product(a1,product(a9,a1)) != a11
| product(product(a1,a9),a1) != product(a1,product(a9,a1))
| product(product(a1,a9),a1) = a11 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a1,a9),a1))),bind(Y0,$fot(product(a1,product(a9,a1)))),bind(Z0,$fot(a11))]]) ).
cnf(refute_0_490,plain,
( product(a1,product(a9,a1)) != a11
| product(product(a1,a9),a1) = a11 ),
inference(resolve,[$cnf( $equal(product(product(a1,a9),a1),product(a1,product(a9,a1))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
product(product(a1,a9),a1) = a11,
inference(resolve,[$cnf( $equal(product(a1,product(a9,a1)),a11) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
product(product(a12,a3),a2) = product(product(a12,a2),a1),
inference(subst,[],[refute_0_8:[bind(X_3,$fot(a12))]]) ).
cnf(refute_0_493,plain,
( product(a12,a3) != a13
| product(product(a12,a3),a2) != product(product(a12,a2),a1)
| product(a13,a2) = product(product(a12,a2),a1) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a12,a3),a2),product(product(a12,a2),a1)) ),[0,0],$fot(a13)]]) ).
cnf(refute_0_494,plain,
( product(product(a12,a3),a2) != product(product(a12,a2),a1)
| product(a13,a2) = product(product(a12,a2),a1) ),
inference(resolve,[$cnf( $equal(product(a12,a3),a13) )],[knot_09,refute_0_493]) ).
cnf(refute_0_495,plain,
product(a13,a2) = product(product(a12,a2),a1),
inference(resolve,[$cnf( $equal(product(product(a12,a3),a2),product(product(a12,a2),a1)) )],[refute_0_492,refute_0_494]) ).
cnf(refute_0_496,plain,
product(product(X_3,a11),a10) = product(product(X_3,a10),product(a11,a10)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a11)),bind(Z,$fot(a10))]]) ).
cnf(refute_0_497,plain,
( product(a11,a10) != a1
| product(product(X_3,a11),a10) != product(product(X_3,a10),product(a11,a10))
| product(product(X_3,a11),a10) = product(product(X_3,a10),a1) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a11),a10),product(product(X_3,a10),product(a11,a10))) ),[1,1],$fot(a1)]]) ).
cnf(refute_0_498,plain,
( product(product(X_3,a11),a10) != product(product(X_3,a10),product(a11,a10))
| product(product(X_3,a11),a10) = product(product(X_3,a10),a1) ),
inference(resolve,[$cnf( $equal(product(a11,a10),a1) )],[knot_16,refute_0_497]) ).
cnf(refute_0_499,plain,
product(product(X_3,a11),a10) = product(product(X_3,a10),a1),
inference(resolve,[$cnf( $equal(product(product(X_3,a11),a10),product(product(X_3,a10),product(a11,a10))) )],[refute_0_496,refute_0_498]) ).
cnf(refute_0_500,plain,
product(product(X_3,a10),a1) = product(product(X_3,a1),product(a10,a1)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(X_3)),bind(Y,$fot(a10)),bind(Z,$fot(a1))]]) ).
cnf(refute_0_501,plain,
( product(a10,a1) != a9
| product(product(X_3,a10),a1) != product(product(X_3,a1),product(a10,a1))
| product(product(X_3,a10),a1) = product(product(X_3,a1),a9) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a10),a1),product(product(X_3,a1),product(a10,a1))) ),[1,1],$fot(a9)]]) ).
cnf(refute_0_502,plain,
( product(product(X_3,a10),a1) != product(product(X_3,a1),product(a10,a1))
| product(product(X_3,a10),a1) = product(product(X_3,a1),a9) ),
inference(resolve,[$cnf( $equal(product(a10,a1),a9) )],[refute_0_166,refute_0_501]) ).
cnf(refute_0_503,plain,
product(product(X_3,a10),a1) = product(product(X_3,a1),a9),
inference(resolve,[$cnf( $equal(product(product(X_3,a10),a1),product(product(X_3,a1),product(a10,a1))) )],[refute_0_500,refute_0_502]) ).
cnf(refute_0_504,plain,
( product(product(X_3,a10),a1) != product(product(X_3,a1),a9)
| product(product(X_3,a11),a10) != product(product(X_3,a10),a1)
| product(product(X_3,a11),a10) = product(product(X_3,a1),a9) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(X_3,a11),a10),product(product(X_3,a10),a1)) ),[1],$fot(product(product(X_3,a1),a9))]]) ).
cnf(refute_0_505,plain,
( product(product(X_3,a11),a10) != product(product(X_3,a10),a1)
| product(product(X_3,a11),a10) = product(product(X_3,a1),a9) ),
inference(resolve,[$cnf( $equal(product(product(X_3,a10),a1),product(product(X_3,a1),a9)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
product(product(X_3,a11),a10) = product(product(X_3,a1),a9),
inference(resolve,[$cnf( $equal(product(product(X_3,a11),a10),product(product(X_3,a10),a1)) )],[refute_0_499,refute_0_505]) ).
cnf(refute_0_507,plain,
product(product(a1,a11),a10) = product(product(a1,a1),a9),
inference(subst,[],[refute_0_506:[bind(X_3,$fot(a1))]]) ).
cnf(refute_0_508,plain,
product(a1,a1) = a1,
inference(subst,[],[involutory_quandle:[bind(X,$fot(a1))]]) ).
cnf(refute_0_509,plain,
( product(a1,a1) != a1
| product(product(a1,a11),a10) != product(product(a1,a1),a9)
| product(product(a1,a11),a10) = product(a1,a9) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a1,a11),a10),product(product(a1,a1),a9)) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_510,plain,
( product(product(a1,a11),a10) != product(product(a1,a1),a9)
| product(product(a1,a11),a10) = product(a1,a9) ),
inference(resolve,[$cnf( $equal(product(a1,a1),a1) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
product(product(a1,a11),a10) = product(a1,a9),
inference(resolve,[$cnf( $equal(product(product(a1,a11),a10),product(product(a1,a1),a9)) )],[refute_0_507,refute_0_510]) ).
cnf(refute_0_512,plain,
product(a11,product(a11,a10)) = product(a11,product(a11,a10)),
introduced(tautology,[refl,[$fot(product(a11,product(a11,a10)))]]) ).
cnf(refute_0_513,plain,
( product(a11,a10) != a1
| product(a11,product(a11,a10)) != product(a11,product(a11,a10))
| product(a11,product(a11,a10)) = product(a11,a1) ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,product(a11,a10)),product(a11,product(a11,a10))) ),[1,1],$fot(a1)]]) ).
cnf(refute_0_514,plain,
( product(a11,a10) != a1
| product(a11,product(a11,a10)) = product(a11,a1) ),
inference(resolve,[$cnf( $equal(product(a11,product(a11,a10)),product(a11,product(a11,a10))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
product(a11,product(a11,a10)) = product(a11,a1),
inference(resolve,[$cnf( $equal(product(a11,a10),a1) )],[knot_16,refute_0_514]) ).
cnf(refute_0_516,plain,
product(product(a1,X_4),a10) = product(product(a1,a10),product(X_4,a10)),
inference(subst,[],[involutory_quandle_02:[bind(X,$fot(a1)),bind(Y,$fot(X_4)),bind(Z,$fot(a10))]]) ).
cnf(refute_0_517,plain,
( product(a1,a10) != a11
| product(product(a1,X_4),a10) != product(product(a1,a10),product(X_4,a10))
| product(product(a1,X_4),a10) = product(a11,product(X_4,a10)) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a1,X_4),a10),product(product(a1,a10),product(X_4,a10))) ),[1,0],$fot(a11)]]) ).
cnf(refute_0_518,plain,
( product(product(a1,X_4),a10) != product(product(a1,a10),product(X_4,a10))
| product(product(a1,X_4),a10) = product(a11,product(X_4,a10)) ),
inference(resolve,[$cnf( $equal(product(a1,a10),a11) )],[refute_0_158,refute_0_517]) ).
cnf(refute_0_519,plain,
product(product(a1,X_4),a10) = product(a11,product(X_4,a10)),
inference(resolve,[$cnf( $equal(product(product(a1,X_4),a10),product(product(a1,a10),product(X_4,a10))) )],[refute_0_516,refute_0_518]) ).
cnf(refute_0_520,plain,
product(product(a1,a11),a10) = product(a11,product(a11,a10)),
inference(subst,[],[refute_0_519:[bind(X_4,$fot(a11))]]) ).
cnf(refute_0_521,plain,
( product(a11,product(a11,a10)) != product(a11,a1)
| product(product(a1,a11),a10) != product(a11,product(a11,a10))
| product(product(a1,a11),a10) = product(a11,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a1,a11),a10))),bind(Y0,$fot(product(a11,product(a11,a10)))),bind(Z0,$fot(product(a11,a1)))]]) ).
cnf(refute_0_522,plain,
( product(a11,product(a11,a10)) != product(a11,a1)
| product(product(a1,a11),a10) = product(a11,a1) ),
inference(resolve,[$cnf( $equal(product(product(a1,a11),a10),product(a11,product(a11,a10))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
product(product(a1,a11),a10) = product(a11,a1),
inference(resolve,[$cnf( $equal(product(a11,product(a11,a10)),product(a11,a1)) )],[refute_0_515,refute_0_522]) ).
cnf(refute_0_524,plain,
( product(product(a1,a11),a10) != product(a1,a9)
| product(product(a1,a11),a10) != product(a11,a1)
| product(a11,a1) = product(a1,a9) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a1,a11),a10),product(a1,a9)) ),[0],$fot(product(a11,a1))]]) ).
cnf(refute_0_525,plain,
( product(product(a1,a11),a10) != product(a1,a9)
| product(a11,a1) = product(a1,a9) ),
inference(resolve,[$cnf( $equal(product(product(a1,a11),a10),product(a11,a1)) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
product(a11,a1) = product(a1,a9),
inference(resolve,[$cnf( $equal(product(product(a1,a11),a10),product(a1,a9)) )],[refute_0_511,refute_0_525]) ).
cnf(refute_0_527,plain,
product(product(a12,a2),a1) = product(product(a12,a2),a1),
introduced(tautology,[refl,[$fot(product(product(a12,a2),a1))]]) ).
cnf(refute_0_528,plain,
( product(a12,a2) != a11
| product(product(a12,a2),a1) != product(product(a12,a2),a1)
| product(product(a12,a2),a1) = product(a11,a1) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a12,a2),a1),product(product(a12,a2),a1)) ),[1,0],$fot(a11)]]) ).
cnf(refute_0_529,plain,
( product(a12,a2) != a11
| product(product(a12,a2),a1) = product(a11,a1) ),
inference(resolve,[$cnf( $equal(product(product(a12,a2),a1),product(product(a12,a2),a1)) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
product(product(a12,a2),a1) = product(a11,a1),
inference(resolve,[$cnf( $equal(product(a12,a2),a11) )],[refute_0_310,refute_0_529]) ).
cnf(refute_0_531,plain,
( product(a11,a1) != product(a1,a9)
| product(product(a12,a2),a1) != product(a11,a1)
| product(product(a12,a2),a1) = product(a1,a9) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a12,a2),a1))),bind(Y0,$fot(product(a11,a1))),bind(Z0,$fot(product(a1,a9)))]]) ).
cnf(refute_0_532,plain,
( product(a11,a1) != product(a1,a9)
| product(product(a12,a2),a1) = product(a1,a9) ),
inference(resolve,[$cnf( $equal(product(product(a12,a2),a1),product(a11,a1)) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
product(product(a12,a2),a1) = product(a1,a9),
inference(resolve,[$cnf( $equal(product(a11,a1),product(a1,a9)) )],[refute_0_526,refute_0_532]) ).
cnf(refute_0_534,plain,
( product(a13,a2) != product(product(a12,a2),a1)
| product(product(a12,a2),a1) != product(a1,a9)
| product(a13,a2) = product(a1,a9) ),
introduced(tautology,[equality,[$cnf( ~ $equal(product(a13,a2),product(a1,a9)) ),[0],$fot(product(product(a12,a2),a1))]]) ).
cnf(refute_0_535,plain,
( product(a13,a2) != product(product(a12,a2),a1)
| product(a13,a2) = product(a1,a9) ),
inference(resolve,[$cnf( $equal(product(product(a12,a2),a1),product(a1,a9)) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
product(a13,a2) = product(a1,a9),
inference(resolve,[$cnf( $equal(product(a13,a2),product(product(a12,a2),a1)) )],[refute_0_495,refute_0_535]) ).
cnf(refute_0_537,plain,
product(a6,a8) = product(a6,a8),
introduced(tautology,[refl,[$fot(product(a6,a8))]]) ).
cnf(refute_0_538,plain,
( a8 != a4
| product(a6,a8) != product(a6,a8)
| product(a6,a8) = product(a6,a4) ),
introduced(tautology,[equality,[$cnf( $equal(product(a6,a8),product(a6,a8)) ),[1,1],$fot(a4)]]) ).
cnf(refute_0_539,plain,
( a8 != a4
| product(a6,a8) = product(a6,a4) ),
inference(resolve,[$cnf( $equal(product(a6,a8),product(a6,a8)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
product(a6,a8) = product(a6,a4),
inference(resolve,[$cnf( $equal(a8,a4) )],[refute_0_323,refute_0_539]) ).
cnf(refute_0_541,plain,
( product(a6,a8) != a13
| product(a6,a8) != product(a6,a4)
| product(a6,a4) = a13 ),
introduced(tautology,[equality,[$cnf( $equal(product(a6,a8),a13) ),[0],$fot(product(a6,a4))]]) ).
cnf(refute_0_542,plain,
( product(a6,a8) != a13
| product(a6,a4) = a13 ),
inference(resolve,[$cnf( $equal(product(a6,a8),product(a6,a4)) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
product(a6,a4) = a13,
inference(resolve,[$cnf( $equal(product(a6,a8),a13) )],[refute_0_360,refute_0_542]) ).
cnf(refute_0_544,plain,
product(product(a6,a4),a2) = product(product(a6,a4),a2),
introduced(tautology,[refl,[$fot(product(product(a6,a4),a2))]]) ).
cnf(refute_0_545,plain,
( product(a6,a4) != a13
| product(product(a6,a4),a2) != product(product(a6,a4),a2)
| product(product(a6,a4),a2) = product(a13,a2) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(a6,a4),a2),product(product(a6,a4),a2)) ),[1,0],$fot(a13)]]) ).
cnf(refute_0_546,plain,
( product(a6,a4) != a13
| product(product(a6,a4),a2) = product(a13,a2) ),
inference(resolve,[$cnf( $equal(product(product(a6,a4),a2),product(product(a6,a4),a2)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
product(product(a6,a4),a2) = product(a13,a2),
inference(resolve,[$cnf( $equal(product(a6,a4),a13) )],[refute_0_543,refute_0_546]) ).
cnf(refute_0_548,plain,
( product(a13,a2) != product(a1,a9)
| product(product(a6,a4),a2) != product(a13,a2)
| product(product(a6,a4),a2) = product(a1,a9) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(a6,a4),a2))),bind(Y0,$fot(product(a13,a2))),bind(Z0,$fot(product(a1,a9)))]]) ).
cnf(refute_0_549,plain,
( product(a13,a2) != product(a1,a9)
| product(product(a6,a4),a2) = product(a1,a9) ),
inference(resolve,[$cnf( $equal(product(product(a6,a4),a2),product(a13,a2)) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
product(product(a6,a4),a2) = product(a1,a9),
inference(resolve,[$cnf( $equal(product(a13,a2),product(a1,a9)) )],[refute_0_536,refute_0_549]) ).
cnf(refute_0_551,plain,
product(product(product(a6,a4),a2),a1) = product(product(product(a6,a4),a2),a1),
introduced(tautology,[refl,[$fot(product(product(product(a6,a4),a2),a1))]]) ).
cnf(refute_0_552,plain,
( product(product(a6,a4),a2) != product(a1,a9)
| product(product(product(a6,a4),a2),a1) != product(product(product(a6,a4),a2),a1)
| product(product(product(a6,a4),a2),a1) = product(product(a1,a9),a1) ),
introduced(tautology,[equality,[$cnf( $equal(product(product(product(a6,a4),a2),a1),product(product(product(a6,a4),a2),a1)) ),[1,0],$fot(product(a1,a9))]]) ).
cnf(refute_0_553,plain,
( product(product(a6,a4),a2) != product(a1,a9)
| product(product(product(a6,a4),a2),a1) = product(product(a1,a9),a1) ),
inference(resolve,[$cnf( $equal(product(product(product(a6,a4),a2),a1),product(product(product(a6,a4),a2),a1)) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
product(product(product(a6,a4),a2),a1) = product(product(a1,a9),a1),
inference(resolve,[$cnf( $equal(product(product(a6,a4),a2),product(a1,a9)) )],[refute_0_550,refute_0_553]) ).
cnf(refute_0_555,plain,
( product(product(a1,a9),a1) != a11
| product(product(product(a6,a4),a2),a1) != product(product(a1,a9),a1)
| product(product(product(a6,a4),a2),a1) = a11 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(product(product(a6,a4),a2),a1))),bind(Y0,$fot(product(product(a1,a9),a1))),bind(Z0,$fot(a11))]]) ).
cnf(refute_0_556,plain,
( product(product(a1,a9),a1) != a11
| product(product(product(a6,a4),a2),a1) = a11 ),
inference(resolve,[$cnf( $equal(product(product(product(a6,a4),a2),a1),product(product(a1,a9),a1)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
product(product(product(a6,a4),a2),a1) = a11,
inference(resolve,[$cnf( $equal(product(product(a1,a9),a1),a11) )],[refute_0_491,refute_0_556]) ).
cnf(refute_0_558,plain,
( a10 != product(product(product(a6,a4),a2),a1)
| product(product(product(a6,a4),a2),a1) != a11
| a10 = a11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(a10,a11) ),[0],$fot(product(product(product(a6,a4),a2),a1))]]) ).
cnf(refute_0_559,plain,
( a10 != product(product(product(a6,a4),a2),a1)
| a10 = a11 ),
inference(resolve,[$cnf( $equal(product(product(product(a6,a4),a2),a1),a11) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
( product(product(product(a2,a3),a6),a2) != product(product(product(a6,a4),a2),a1)
| a10 = a11 ),
inference(resolve,[$cnf( $equal(a10,product(product(product(a6,a4),a2),a1)) )],[refute_0_480,refute_0_559]) ).
cnf(refute_0_561,plain,
a10 = a11,
inference(resolve,[$cnf( $equal(product(product(product(a2,a3),a6),a2),product(product(product(a6,a4),a2),a1)) )],[refute_0_138,refute_0_560]) ).
cnf(refute_0_562,plain,
( a10 != a11
| a11 = a10 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a10)),bind(Y0,$fot(a11))]]) ).
cnf(refute_0_563,plain,
a11 = a10,
inference(resolve,[$cnf( $equal(a10,a11) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
product(a10,a11) = product(a10,a11),
introduced(tautology,[refl,[$fot(product(a10,a11))]]) ).
cnf(refute_0_565,plain,
( a11 != a10
| product(a10,a11) != product(a10,a11)
| product(a10,a11) = product(a10,a10) ),
introduced(tautology,[equality,[$cnf( $equal(product(a10,a11),product(a10,a11)) ),[1,1],$fot(a10)]]) ).
cnf(refute_0_566,plain,
( a11 != a10
| product(a10,a11) = product(a10,a10) ),
inference(resolve,[$cnf( $equal(product(a10,a11),product(a10,a11)) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
product(a10,a11) = product(a10,a10),
inference(resolve,[$cnf( $equal(a11,a10) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
( product(a10,a10) != a10
| product(a10,a11) != product(a10,a10)
| product(a10,a11) = a10 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a10,a11))),bind(Y0,$fot(product(a10,a10))),bind(Z0,$fot(a10))]]) ).
cnf(refute_0_569,plain,
( product(a10,a10) != a10
| product(a10,a11) = a10 ),
inference(resolve,[$cnf( $equal(product(a10,a11),product(a10,a10)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
product(a10,a11) = a10,
inference(resolve,[$cnf( $equal(product(a10,a10),a10) )],[refute_0_0,refute_0_569]) ).
cnf(refute_0_571,plain,
( product(a10,a11) != a10
| product(a10,a11) != a12
| a10 = a12 ),
introduced(tautology,[equality,[$cnf( $equal(product(a10,a11),a12) ),[0],$fot(a10)]]) ).
cnf(refute_0_572,plain,
( product(a10,a11) != a12
| a10 = a12 ),
inference(resolve,[$cnf( $equal(product(a10,a11),a10) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
a10 = a12,
inference(resolve,[$cnf( $equal(product(a10,a11),a12) )],[knot_08,refute_0_572]) ).
cnf(refute_0_574,plain,
( a10 != a12
| a12 = a10 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a10)),bind(Y0,$fot(a12))]]) ).
cnf(refute_0_575,plain,
a12 = a10,
inference(resolve,[$cnf( $equal(a10,a12) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
product(a12,a3) = product(a12,a3),
introduced(tautology,[refl,[$fot(product(a12,a3))]]) ).
cnf(refute_0_577,plain,
( a12 != a10
| product(a12,a3) != product(a12,a3)
| product(a12,a3) = product(a10,a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(a12,a3),product(a12,a3)) ),[1,0],$fot(a10)]]) ).
cnf(refute_0_578,plain,
( a12 != a10
| product(a12,a3) = product(a10,a3) ),
inference(resolve,[$cnf( $equal(product(a12,a3),product(a12,a3)) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
product(a12,a3) = product(a10,a3),
inference(resolve,[$cnf( $equal(a12,a10) )],[refute_0_575,refute_0_578]) ).
cnf(refute_0_580,plain,
( product(a12,a3) != a13
| product(a12,a3) != product(a10,a3)
| product(a10,a3) = a13 ),
introduced(tautology,[equality,[$cnf( $equal(product(a12,a3),a13) ),[0],$fot(product(a10,a3))]]) ).
cnf(refute_0_581,plain,
( product(a12,a3) != a13
| product(a10,a3) = a13 ),
inference(resolve,[$cnf( $equal(product(a12,a3),product(a10,a3)) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
product(a10,a3) = a13,
inference(resolve,[$cnf( $equal(product(a12,a3),a13) )],[knot_09,refute_0_581]) ).
cnf(refute_0_583,plain,
product(a11,a10) = product(a11,a10),
introduced(tautology,[refl,[$fot(product(a11,a10))]]) ).
cnf(refute_0_584,plain,
( a11 != a10
| product(a11,a10) != product(a11,a10)
| product(a11,a10) = product(a10,a10) ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,a10),product(a11,a10)) ),[1,0],$fot(a10)]]) ).
cnf(refute_0_585,plain,
( a11 != a10
| product(a11,a10) = product(a10,a10) ),
inference(resolve,[$cnf( $equal(product(a11,a10),product(a11,a10)) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
product(a11,a10) = product(a10,a10),
inference(resolve,[$cnf( $equal(a11,a10) )],[refute_0_563,refute_0_585]) ).
cnf(refute_0_587,plain,
( product(a10,a10) != a10
| product(a11,a10) != product(a10,a10)
| product(a11,a10) = a10 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a11,a10))),bind(Y0,$fot(product(a10,a10))),bind(Z0,$fot(a10))]]) ).
cnf(refute_0_588,plain,
( product(a10,a10) != a10
| product(a11,a10) = a10 ),
inference(resolve,[$cnf( $equal(product(a11,a10),product(a10,a10)) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
product(a11,a10) = a10,
inference(resolve,[$cnf( $equal(product(a10,a10),a10) )],[refute_0_0,refute_0_588]) ).
cnf(refute_0_590,plain,
( product(a11,a10) != a1
| product(a11,a10) != a10
| a10 = a1 ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,a10),a1) ),[0],$fot(a10)]]) ).
cnf(refute_0_591,plain,
( product(a11,a10) != a1
| a10 = a1 ),
inference(resolve,[$cnf( $equal(product(a11,a10),a10) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
a10 = a1,
inference(resolve,[$cnf( $equal(product(a11,a10),a1) )],[knot_16,refute_0_591]) ).
cnf(refute_0_593,plain,
product(a10,a3) = product(a10,a3),
introduced(tautology,[refl,[$fot(product(a10,a3))]]) ).
cnf(refute_0_594,plain,
( a10 != a1
| product(a10,a3) != product(a10,a3)
| product(a10,a3) = product(a1,a3) ),
introduced(tautology,[equality,[$cnf( $equal(product(a10,a3),product(a10,a3)) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_595,plain,
( a10 != a1
| product(a10,a3) = product(a1,a3) ),
inference(resolve,[$cnf( $equal(product(a10,a3),product(a10,a3)) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
product(a10,a3) = product(a1,a3),
inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_592,refute_0_595]) ).
cnf(refute_0_597,plain,
( product(a10,a3) != a13
| product(a10,a3) != product(a1,a3)
| product(a1,a3) = a13 ),
introduced(tautology,[equality,[$cnf( $equal(product(a10,a3),a13) ),[0],$fot(product(a1,a3))]]) ).
cnf(refute_0_598,plain,
( product(a10,a3) != a13
| product(a1,a3) = a13 ),
inference(resolve,[$cnf( $equal(product(a10,a3),product(a1,a3)) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
product(a1,a3) = a13,
inference(resolve,[$cnf( $equal(product(a10,a3),a13) )],[refute_0_582,refute_0_598]) ).
cnf(refute_0_600,plain,
( a7 != a14
| product(a5,a6) != a7
| product(a5,a6) = a14 ),
introduced(tautology,[equality,[$cnf( $equal(product(a5,a6),a7) ),[1],$fot(a14)]]) ).
cnf(refute_0_601,plain,
( product(a5,a6) != a7
| product(a5,a6) = a14 ),
inference(resolve,[$cnf( $equal(a7,a14) )],[refute_0_348,refute_0_600]) ).
cnf(refute_0_602,plain,
product(a5,a6) = a14,
inference(resolve,[$cnf( $equal(product(a5,a6),a7) )],[knot_04,refute_0_601]) ).
cnf(refute_0_603,plain,
( a8 != a15
| product(a9,a2) != a8
| product(a9,a2) = a15 ),
introduced(tautology,[equality,[$cnf( $equal(product(a9,a2),a8) ),[1],$fot(a15)]]) ).
cnf(refute_0_604,plain,
( product(a9,a2) != a8
| product(a9,a2) = a15 ),
inference(resolve,[$cnf( $equal(a8,a15) )],[refute_0_336,refute_0_603]) ).
cnf(refute_0_605,plain,
product(a9,a2) = a15,
inference(resolve,[$cnf( $equal(product(a9,a2),a8) )],[refute_0_32,refute_0_604]) ).
cnf(refute_0_606,plain,
product(a10,a1) = product(a10,a1),
introduced(tautology,[refl,[$fot(product(a10,a1))]]) ).
cnf(refute_0_607,plain,
( a10 != a1
| product(a10,a1) != product(a10,a1)
| product(a10,a1) = product(a1,a1) ),
introduced(tautology,[equality,[$cnf( $equal(product(a10,a1),product(a10,a1)) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_608,plain,
( a10 != a1
| product(a10,a1) = product(a1,a1) ),
inference(resolve,[$cnf( $equal(product(a10,a1),product(a10,a1)) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
product(a10,a1) = product(a1,a1),
inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_592,refute_0_608]) ).
cnf(refute_0_610,plain,
( product(a1,a1) != a1
| product(a10,a1) != product(a1,a1)
| product(a10,a1) = a1 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a10,a1))),bind(Y0,$fot(product(a1,a1))),bind(Z0,$fot(a1))]]) ).
cnf(refute_0_611,plain,
( product(a1,a1) != a1
| product(a10,a1) = a1 ),
inference(resolve,[$cnf( $equal(product(a10,a1),product(a1,a1)) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
product(a10,a1) = a1,
inference(resolve,[$cnf( $equal(product(a1,a1),a1) )],[refute_0_508,refute_0_611]) ).
cnf(refute_0_613,plain,
( product(a10,a1) != a1
| product(a10,a1) != a9
| a1 = a9 ),
introduced(tautology,[equality,[$cnf( $equal(product(a10,a1),a9) ),[0],$fot(a1)]]) ).
cnf(refute_0_614,plain,
( product(a10,a1) != a9
| a1 = a9 ),
inference(resolve,[$cnf( $equal(product(a10,a1),a1) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
a1 = a9,
inference(resolve,[$cnf( $equal(product(a10,a1),a9) )],[refute_0_166,refute_0_614]) ).
cnf(refute_0_616,plain,
( a1 != a9
| a9 = a1 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a1)),bind(Y0,$fot(a9))]]) ).
cnf(refute_0_617,plain,
a9 = a1,
inference(resolve,[$cnf( $equal(a1,a9) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
product(a9,a2) = product(a9,a2),
introduced(tautology,[refl,[$fot(product(a9,a2))]]) ).
cnf(refute_0_619,plain,
( a9 != a1
| product(a9,a2) != product(a9,a2)
| product(a9,a2) = product(a1,a2) ),
introduced(tautology,[equality,[$cnf( $equal(product(a9,a2),product(a9,a2)) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_620,plain,
( a9 != a1
| product(a9,a2) = product(a1,a2) ),
inference(resolve,[$cnf( $equal(product(a9,a2),product(a9,a2)) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
product(a9,a2) = product(a1,a2),
inference(resolve,[$cnf( $equal(a9,a1) )],[refute_0_617,refute_0_620]) ).
cnf(refute_0_622,plain,
( product(a1,a2) != a3
| product(a9,a2) != product(a1,a2)
| product(a9,a2) = a3 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a9,a2))),bind(Y0,$fot(product(a1,a2))),bind(Z0,$fot(a3))]]) ).
cnf(refute_0_623,plain,
( product(a1,a2) != a3
| product(a9,a2) = a3 ),
inference(resolve,[$cnf( $equal(product(a9,a2),product(a1,a2)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
product(a9,a2) = a3,
inference(resolve,[$cnf( $equal(product(a1,a2),a3) )],[knot,refute_0_623]) ).
cnf(refute_0_625,plain,
( product(a9,a2) != a15
| product(a9,a2) != a3
| a3 = a15 ),
introduced(tautology,[equality,[$cnf( $equal(product(a9,a2),a15) ),[0],$fot(a3)]]) ).
cnf(refute_0_626,plain,
( product(a9,a2) != a15
| a3 = a15 ),
inference(resolve,[$cnf( $equal(product(a9,a2),a3) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
a3 = a15,
inference(resolve,[$cnf( $equal(product(a9,a2),a15) )],[refute_0_605,refute_0_626]) ).
cnf(refute_0_628,plain,
product(a4,a6) = product(a4,a6),
introduced(tautology,[refl,[$fot(product(a4,a6))]]) ).
cnf(refute_0_629,plain,
( a4 != a15
| product(a4,a6) != product(a4,a6)
| product(a4,a6) = product(a15,a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(a4,a6),product(a4,a6)) ),[1,0],$fot(a15)]]) ).
cnf(refute_0_630,plain,
( a4 != a15
| product(a4,a6) = product(a15,a6) ),
inference(resolve,[$cnf( $equal(product(a4,a6),product(a4,a6)) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
product(a4,a6) = product(a15,a6),
inference(resolve,[$cnf( $equal(a4,a15) )],[refute_0_333,refute_0_630]) ).
cnf(refute_0_632,plain,
( a3 != product(a4,a6)
| product(a4,a6) != product(a15,a6)
| a3 = product(a15,a6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(a3,product(a15,a6)) ),[0],$fot(product(a4,a6))]]) ).
cnf(refute_0_633,plain,
( a3 != product(a4,a6)
| a3 = product(a15,a6) ),
inference(resolve,[$cnf( $equal(product(a4,a6),product(a15,a6)) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
a3 = product(a15,a6),
inference(resolve,[$cnf( $equal(a3,product(a4,a6)) )],[refute_0_119,refute_0_633]) ).
cnf(refute_0_635,plain,
( a3 != product(a15,a6)
| product(a15,a6) = a3 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a3)),bind(Y0,$fot(product(a15,a6)))]]) ).
cnf(refute_0_636,plain,
product(a15,a6) = a3,
inference(resolve,[$cnf( $equal(a3,product(a15,a6)) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
( a3 != a15
| product(a15,a6) != a3
| product(a15,a6) = a15 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a15,a6))),bind(Y0,$fot(a3)),bind(Z0,$fot(a15))]]) ).
cnf(refute_0_638,plain,
( a3 != a15
| product(a15,a6) = a15 ),
inference(resolve,[$cnf( $equal(product(a15,a6),a3) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
product(a15,a6) = a15,
inference(resolve,[$cnf( $equal(a3,a15) )],[refute_0_627,refute_0_638]) ).
cnf(refute_0_640,plain,
product(a3,a4) = product(a3,a4),
introduced(tautology,[refl,[$fot(product(a3,a4))]]) ).
cnf(refute_0_641,plain,
( a4 != a15
| product(a3,a4) != product(a3,a4)
| product(a3,a4) = product(a3,a15) ),
introduced(tautology,[equality,[$cnf( $equal(product(a3,a4),product(a3,a4)) ),[1,1],$fot(a15)]]) ).
cnf(refute_0_642,plain,
( a4 != a15
| product(a3,a4) = product(a3,a15) ),
inference(resolve,[$cnf( $equal(product(a3,a4),product(a3,a4)) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
product(a3,a4) = product(a3,a15),
inference(resolve,[$cnf( $equal(a4,a15) )],[refute_0_333,refute_0_642]) ).
cnf(refute_0_644,plain,
( product(a3,a4) != a5
| product(a3,a4) != product(a3,a15)
| product(a3,a15) = a5 ),
introduced(tautology,[equality,[$cnf( $equal(product(a3,a4),a5) ),[0],$fot(product(a3,a15))]]) ).
cnf(refute_0_645,plain,
( product(a3,a4) != a5
| product(a3,a15) = a5 ),
inference(resolve,[$cnf( $equal(product(a3,a4),product(a3,a15)) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
product(a3,a15) = a5,
inference(resolve,[$cnf( $equal(product(a3,a4),a5) )],[knot_03,refute_0_645]) ).
cnf(refute_0_647,plain,
product(a15,a15) = a15,
inference(subst,[],[involutory_quandle:[bind(X,$fot(a15))]]) ).
cnf(refute_0_648,plain,
product(a3,a15) = product(a3,a15),
introduced(tautology,[refl,[$fot(product(a3,a15))]]) ).
cnf(refute_0_649,plain,
( a3 != a15
| product(a3,a15) != product(a3,a15)
| product(a3,a15) = product(a15,a15) ),
introduced(tautology,[equality,[$cnf( $equal(product(a3,a15),product(a3,a15)) ),[1,0],$fot(a15)]]) ).
cnf(refute_0_650,plain,
( a3 != a15
| product(a3,a15) = product(a15,a15) ),
inference(resolve,[$cnf( $equal(product(a3,a15),product(a3,a15)) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
product(a3,a15) = product(a15,a15),
inference(resolve,[$cnf( $equal(a3,a15) )],[refute_0_627,refute_0_650]) ).
cnf(refute_0_652,plain,
( product(a15,a15) != a15
| product(a3,a15) != product(a15,a15)
| product(a3,a15) = a15 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a3,a15))),bind(Y0,$fot(product(a15,a15))),bind(Z0,$fot(a15))]]) ).
cnf(refute_0_653,plain,
( product(a15,a15) != a15
| product(a3,a15) = a15 ),
inference(resolve,[$cnf( $equal(product(a3,a15),product(a15,a15)) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
product(a3,a15) = a15,
inference(resolve,[$cnf( $equal(product(a15,a15),a15) )],[refute_0_647,refute_0_653]) ).
cnf(refute_0_655,plain,
( product(a3,a15) != a15
| product(a3,a15) != a5
| a15 = a5 ),
introduced(tautology,[equality,[$cnf( $equal(product(a3,a15),a5) ),[0],$fot(a15)]]) ).
cnf(refute_0_656,plain,
( product(a3,a15) != a5
| a15 = a5 ),
inference(resolve,[$cnf( $equal(product(a3,a15),a15) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
a15 = a5,
inference(resolve,[$cnf( $equal(product(a3,a15),a5) )],[refute_0_646,refute_0_656]) ).
cnf(refute_0_658,plain,
( a15 != a5
| a5 = a15 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a15)),bind(Y0,$fot(a5))]]) ).
cnf(refute_0_659,plain,
a5 = a15,
inference(resolve,[$cnf( $equal(a15,a5) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
product(a5,a6) = product(a5,a6),
introduced(tautology,[refl,[$fot(product(a5,a6))]]) ).
cnf(refute_0_661,plain,
( a5 != a15
| product(a5,a6) != product(a5,a6)
| product(a5,a6) = product(a15,a6) ),
introduced(tautology,[equality,[$cnf( $equal(product(a5,a6),product(a5,a6)) ),[1,0],$fot(a15)]]) ).
cnf(refute_0_662,plain,
( a5 != a15
| product(a5,a6) = product(a15,a6) ),
inference(resolve,[$cnf( $equal(product(a5,a6),product(a5,a6)) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
product(a5,a6) = product(a15,a6),
inference(resolve,[$cnf( $equal(a5,a15) )],[refute_0_659,refute_0_662]) ).
cnf(refute_0_664,plain,
( product(a15,a6) != a15
| product(a5,a6) != product(a15,a6)
| product(a5,a6) = a15 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a5,a6))),bind(Y0,$fot(product(a15,a6))),bind(Z0,$fot(a15))]]) ).
cnf(refute_0_665,plain,
( product(a15,a6) != a15
| product(a5,a6) = a15 ),
inference(resolve,[$cnf( $equal(product(a5,a6),product(a15,a6)) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
product(a5,a6) = a15,
inference(resolve,[$cnf( $equal(product(a15,a6),a15) )],[refute_0_639,refute_0_665]) ).
cnf(refute_0_667,plain,
( product(a5,a6) != a14
| product(a5,a6) != a15
| a15 = a14 ),
introduced(tautology,[equality,[$cnf( $equal(product(a5,a6),a14) ),[0],$fot(a15)]]) ).
cnf(refute_0_668,plain,
( product(a5,a6) != a14
| a15 = a14 ),
inference(resolve,[$cnf( $equal(product(a5,a6),a15) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
a15 = a14,
inference(resolve,[$cnf( $equal(product(a5,a6),a14) )],[refute_0_602,refute_0_668]) ).
cnf(refute_0_670,plain,
( a4 != a15
| product(a11,a7) != a4
| product(a11,a7) = a15 ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,a7),a4) ),[1],$fot(a15)]]) ).
cnf(refute_0_671,plain,
( product(a11,a7) != a4
| product(a11,a7) = a15 ),
inference(resolve,[$cnf( $equal(a4,a15) )],[refute_0_333,refute_0_670]) ).
cnf(refute_0_672,plain,
product(a11,a7) = a15,
inference(resolve,[$cnf( $equal(product(a11,a7),a4) )],[refute_0_106,refute_0_671]) ).
cnf(refute_0_673,plain,
product(a11,a7) = product(a11,a7),
introduced(tautology,[refl,[$fot(product(a11,a7))]]) ).
cnf(refute_0_674,plain,
( a7 != a14
| product(a11,a7) != product(a11,a7)
| product(a11,a7) = product(a11,a14) ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,a7),product(a11,a7)) ),[1,1],$fot(a14)]]) ).
cnf(refute_0_675,plain,
( a7 != a14
| product(a11,a7) = product(a11,a14) ),
inference(resolve,[$cnf( $equal(product(a11,a7),product(a11,a7)) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
product(a11,a7) = product(a11,a14),
inference(resolve,[$cnf( $equal(a7,a14) )],[refute_0_348,refute_0_675]) ).
cnf(refute_0_677,plain,
( product(a11,a7) != a15
| product(a11,a7) != product(a11,a14)
| product(a11,a14) = a15 ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,a7),a15) ),[0],$fot(product(a11,a14))]]) ).
cnf(refute_0_678,plain,
( product(a11,a7) != a15
| product(a11,a14) = a15 ),
inference(resolve,[$cnf( $equal(product(a11,a7),product(a11,a14)) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
product(a11,a14) = a15,
inference(resolve,[$cnf( $equal(product(a11,a7),a15) )],[refute_0_672,refute_0_678]) ).
cnf(refute_0_680,plain,
( a10 != a1
| a11 != a10
| a11 = a1 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(a11)),bind(Y0,$fot(a10)),bind(Z0,$fot(a1))]]) ).
cnf(refute_0_681,plain,
( a10 != a1
| a11 = a1 ),
inference(resolve,[$cnf( $equal(a11,a10) )],[refute_0_563,refute_0_680]) ).
cnf(refute_0_682,plain,
a11 = a1,
inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_592,refute_0_681]) ).
cnf(refute_0_683,plain,
product(a11,a14) = product(a11,a14),
introduced(tautology,[refl,[$fot(product(a11,a14))]]) ).
cnf(refute_0_684,plain,
( a11 != a1
| product(a11,a14) != product(a11,a14)
| product(a11,a14) = product(a1,a14) ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,a14),product(a11,a14)) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_685,plain,
( a11 != a1
| product(a11,a14) = product(a1,a14) ),
inference(resolve,[$cnf( $equal(product(a11,a14),product(a11,a14)) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
product(a11,a14) = product(a1,a14),
inference(resolve,[$cnf( $equal(a11,a1) )],[refute_0_682,refute_0_685]) ).
cnf(refute_0_687,plain,
( product(a11,a14) != a15
| product(a11,a14) != product(a1,a14)
| product(a1,a14) = a15 ),
introduced(tautology,[equality,[$cnf( $equal(product(a11,a14),a15) ),[0],$fot(product(a1,a14))]]) ).
cnf(refute_0_688,plain,
( product(a11,a14) != a15
| product(a1,a14) = a15 ),
inference(resolve,[$cnf( $equal(product(a11,a14),product(a1,a14)) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
product(a1,a14) = a15,
inference(resolve,[$cnf( $equal(product(a11,a14),a15) )],[refute_0_679,refute_0_688]) ).
cnf(refute_0_690,plain,
( a15 != a14
| product(a1,a14) != a15
| product(a1,a14) = a14 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a1,a14))),bind(Y0,$fot(a15)),bind(Z0,$fot(a14))]]) ).
cnf(refute_0_691,plain,
( a15 != a14
| product(a1,a14) = a14 ),
inference(resolve,[$cnf( $equal(product(a1,a14),a15) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
product(a1,a14) = a14,
inference(resolve,[$cnf( $equal(a15,a14) )],[refute_0_669,refute_0_691]) ).
cnf(refute_0_693,plain,
( a15 != a14
| a3 != a15
| a3 = a14 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(a3)),bind(Y0,$fot(a15)),bind(Z0,$fot(a14))]]) ).
cnf(refute_0_694,plain,
( a15 != a14
| a3 = a14 ),
inference(resolve,[$cnf( $equal(a3,a15) )],[refute_0_627,refute_0_693]) ).
cnf(refute_0_695,plain,
a3 = a14,
inference(resolve,[$cnf( $equal(a15,a14) )],[refute_0_669,refute_0_694]) ).
cnf(refute_0_696,plain,
product(a1,a3) = product(a1,a3),
introduced(tautology,[refl,[$fot(product(a1,a3))]]) ).
cnf(refute_0_697,plain,
( a3 != a14
| product(a1,a3) != product(a1,a3)
| product(a1,a3) = product(a1,a14) ),
introduced(tautology,[equality,[$cnf( $equal(product(a1,a3),product(a1,a3)) ),[1,1],$fot(a14)]]) ).
cnf(refute_0_698,plain,
( a3 != a14
| product(a1,a3) = product(a1,a14) ),
inference(resolve,[$cnf( $equal(product(a1,a3),product(a1,a3)) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
product(a1,a3) = product(a1,a14),
inference(resolve,[$cnf( $equal(a3,a14) )],[refute_0_695,refute_0_698]) ).
cnf(refute_0_700,plain,
( product(a1,a14) != a14
| product(a1,a3) != product(a1,a14)
| product(a1,a3) = a14 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a1,a3))),bind(Y0,$fot(product(a1,a14))),bind(Z0,$fot(a14))]]) ).
cnf(refute_0_701,plain,
( product(a1,a14) != a14
| product(a1,a3) = a14 ),
inference(resolve,[$cnf( $equal(product(a1,a3),product(a1,a14)) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
product(a1,a3) = a14,
inference(resolve,[$cnf( $equal(product(a1,a14),a14) )],[refute_0_692,refute_0_701]) ).
cnf(refute_0_703,plain,
( product(a1,a3) != a13
| product(a1,a3) != a14
| a14 = a13 ),
introduced(tautology,[equality,[$cnf( $equal(product(a1,a3),a13) ),[0],$fot(a14)]]) ).
cnf(refute_0_704,plain,
( product(a1,a3) != a13
| a14 = a13 ),
inference(resolve,[$cnf( $equal(product(a1,a3),a14) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
a14 = a13,
inference(resolve,[$cnf( $equal(product(a1,a3),a13) )],[refute_0_599,refute_0_704]) ).
cnf(refute_0_706,plain,
product(a4,a7) = product(a4,a7),
introduced(tautology,[refl,[$fot(product(a4,a7))]]) ).
cnf(refute_0_707,plain,
( a4 != a15
| product(a4,a7) != product(a4,a7)
| product(a4,a7) = product(a15,a7) ),
introduced(tautology,[equality,[$cnf( $equal(product(a4,a7),product(a4,a7)) ),[1,0],$fot(a15)]]) ).
cnf(refute_0_708,plain,
( a4 != a15
| product(a4,a7) = product(a15,a7) ),
inference(resolve,[$cnf( $equal(product(a4,a7),product(a4,a7)) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
product(a4,a7) = product(a15,a7),
inference(resolve,[$cnf( $equal(a4,a15) )],[refute_0_333,refute_0_708]) ).
cnf(refute_0_710,plain,
( product(a4,a7) != a11
| product(a4,a7) != product(a15,a7)
| product(a15,a7) = a11 ),
introduced(tautology,[equality,[$cnf( $equal(product(a4,a7),a11) ),[0],$fot(product(a15,a7))]]) ).
cnf(refute_0_711,plain,
( product(a4,a7) != a11
| product(a15,a7) = a11 ),
inference(resolve,[$cnf( $equal(product(a4,a7),product(a15,a7)) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
product(a15,a7) = a11,
inference(resolve,[$cnf( $equal(product(a4,a7),a11) )],[knot_15,refute_0_711]) ).
cnf(refute_0_713,plain,
product(a15,a7) = product(a15,a7),
introduced(tautology,[refl,[$fot(product(a15,a7))]]) ).
cnf(refute_0_714,plain,
( a7 != a14
| product(a15,a7) != product(a15,a7)
| product(a15,a7) = product(a15,a14) ),
introduced(tautology,[equality,[$cnf( $equal(product(a15,a7),product(a15,a7)) ),[1,1],$fot(a14)]]) ).
cnf(refute_0_715,plain,
( a7 != a14
| product(a15,a7) = product(a15,a14) ),
inference(resolve,[$cnf( $equal(product(a15,a7),product(a15,a7)) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
product(a15,a7) = product(a15,a14),
inference(resolve,[$cnf( $equal(a7,a14) )],[refute_0_348,refute_0_715]) ).
cnf(refute_0_717,plain,
( product(a15,a7) != a11
| product(a15,a7) != product(a15,a14)
| product(a15,a14) = a11 ),
introduced(tautology,[equality,[$cnf( $equal(product(a15,a7),a11) ),[0],$fot(product(a15,a14))]]) ).
cnf(refute_0_718,plain,
( product(a15,a7) != a11
| product(a15,a14) = a11 ),
inference(resolve,[$cnf( $equal(product(a15,a7),product(a15,a14)) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
product(a15,a14) = a11,
inference(resolve,[$cnf( $equal(product(a15,a7),a11) )],[refute_0_712,refute_0_718]) ).
cnf(refute_0_720,plain,
( a11 != a10
| product(a15,a14) != a11
| product(a15,a14) = a10 ),
introduced(tautology,[equality,[$cnf( $equal(product(a15,a14),a11) ),[1],$fot(a10)]]) ).
cnf(refute_0_721,plain,
( product(a15,a14) != a11
| product(a15,a14) = a10 ),
inference(resolve,[$cnf( $equal(a11,a10) )],[refute_0_563,refute_0_720]) ).
cnf(refute_0_722,plain,
product(a15,a14) = a10,
inference(resolve,[$cnf( $equal(product(a15,a14),a11) )],[refute_0_719,refute_0_721]) ).
cnf(refute_0_723,plain,
( a10 != a1
| product(a15,a14) != a10
| product(a15,a14) = a1 ),
introduced(tautology,[equality,[$cnf( $equal(product(a15,a14),a10) ),[1],$fot(a1)]]) ).
cnf(refute_0_724,plain,
( product(a15,a14) != a10
| product(a15,a14) = a1 ),
inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_592,refute_0_723]) ).
cnf(refute_0_725,plain,
product(a15,a14) = a1,
inference(resolve,[$cnf( $equal(product(a15,a14),a10) )],[refute_0_722,refute_0_724]) ).
cnf(refute_0_726,plain,
product(a13,a13) = a13,
inference(subst,[],[involutory_quandle:[bind(X,$fot(a13))]]) ).
cnf(refute_0_727,plain,
product(a13,a14) = product(a13,a14),
introduced(tautology,[refl,[$fot(product(a13,a14))]]) ).
cnf(refute_0_728,plain,
( a14 != a13
| product(a13,a14) != product(a13,a14)
| product(a13,a14) = product(a13,a13) ),
introduced(tautology,[equality,[$cnf( $equal(product(a13,a14),product(a13,a14)) ),[1,1],$fot(a13)]]) ).
cnf(refute_0_729,plain,
( a14 != a13
| product(a13,a14) = product(a13,a13) ),
inference(resolve,[$cnf( $equal(product(a13,a14),product(a13,a14)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
product(a13,a14) = product(a13,a13),
inference(resolve,[$cnf( $equal(a14,a13) )],[refute_0_705,refute_0_729]) ).
cnf(refute_0_731,plain,
( a14 != a13
| a15 != a14
| a15 = a13 ),
introduced(tautology,[equality,[$cnf( $equal(a15,a14) ),[1],$fot(a13)]]) ).
cnf(refute_0_732,plain,
( a15 != a14
| a15 = a13 ),
inference(resolve,[$cnf( $equal(a14,a13) )],[refute_0_705,refute_0_731]) ).
cnf(refute_0_733,plain,
a15 = a13,
inference(resolve,[$cnf( $equal(a15,a14) )],[refute_0_669,refute_0_732]) ).
cnf(refute_0_734,plain,
product(a15,a14) = product(a15,a14),
introduced(tautology,[refl,[$fot(product(a15,a14))]]) ).
cnf(refute_0_735,plain,
( a15 != a13
| product(a15,a14) != product(a15,a14)
| product(a15,a14) = product(a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(product(a15,a14),product(a15,a14)) ),[1,0],$fot(a13)]]) ).
cnf(refute_0_736,plain,
( a15 != a13
| product(a15,a14) = product(a13,a14) ),
inference(resolve,[$cnf( $equal(product(a15,a14),product(a15,a14)) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
product(a15,a14) = product(a13,a14),
inference(resolve,[$cnf( $equal(a15,a13) )],[refute_0_733,refute_0_736]) ).
cnf(refute_0_738,plain,
( product(a13,a14) != product(a13,a13)
| product(a15,a14) != product(a13,a14)
| product(a15,a14) = product(a13,a13) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a15,a14))),bind(Y0,$fot(product(a13,a14))),bind(Z0,$fot(product(a13,a13)))]]) ).
cnf(refute_0_739,plain,
( product(a13,a14) != product(a13,a13)
| product(a15,a14) = product(a13,a13) ),
inference(resolve,[$cnf( $equal(product(a15,a14),product(a13,a14)) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
product(a15,a14) = product(a13,a13),
inference(resolve,[$cnf( $equal(product(a13,a14),product(a13,a13)) )],[refute_0_730,refute_0_739]) ).
cnf(refute_0_741,plain,
( product(a13,a13) != a13
| product(a15,a14) != product(a13,a13)
| product(a15,a14) = a13 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a15,a14))),bind(Y0,$fot(product(a13,a13))),bind(Z0,$fot(a13))]]) ).
cnf(refute_0_742,plain,
( product(a13,a13) != a13
| product(a15,a14) = a13 ),
inference(resolve,[$cnf( $equal(product(a15,a14),product(a13,a13)) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
product(a15,a14) = a13,
inference(resolve,[$cnf( $equal(product(a13,a13),a13) )],[refute_0_726,refute_0_742]) ).
cnf(refute_0_744,plain,
( product(a15,a14) != a1
| product(a15,a14) != a13
| a13 = a1 ),
introduced(tautology,[equality,[$cnf( $equal(product(a15,a14),a1) ),[0],$fot(a13)]]) ).
cnf(refute_0_745,plain,
( product(a15,a14) != a1
| a13 = a1 ),
inference(resolve,[$cnf( $equal(product(a15,a14),a13) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
a13 = a1,
inference(resolve,[$cnf( $equal(product(a15,a14),a1) )],[refute_0_725,refute_0_745]) ).
cnf(refute_0_747,plain,
( a13 != a1
| a14 != a13
| a14 = a1 ),
introduced(tautology,[equality,[$cnf( $equal(a14,a13) ),[1],$fot(a1)]]) ).
cnf(refute_0_748,plain,
( a14 != a13
| a14 = a1 ),
inference(resolve,[$cnf( $equal(a13,a1) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
a14 = a1,
inference(resolve,[$cnf( $equal(a14,a13) )],[refute_0_705,refute_0_748]) ).
cnf(refute_0_750,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14))]]) ).
cnf(refute_0_751,plain,
( a14 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14)) ),[1,13],$fot(a1)]]) ).
cnf(refute_0_752,plain,
( a14 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14)) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(a14,a1) )],[refute_0_749,refute_0_752]) ).
cnf(refute_0_754,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14))]]) ).
cnf(refute_0_755,plain,
( a13 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14)) ),[1,12],$fot(a1)]]) ).
cnf(refute_0_756,plain,
( a13 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14)) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14),
inference(resolve,[$cnf( $equal(a13,a1) )],[refute_0_746,refute_0_756]) ).
cnf(refute_0_758,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_759,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14)) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_753,refute_0_759]) ).
cnf(refute_0_761,plain,
( a10 != a1
| a10 != a12
| a1 = a12 ),
introduced(tautology,[equality,[$cnf( $equal(a10,a12) ),[0],$fot(a1)]]) ).
cnf(refute_0_762,plain,
( a10 != a12
| a1 = a12 ),
inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_592,refute_0_761]) ).
cnf(refute_0_763,plain,
a1 = a12,
inference(resolve,[$cnf( $equal(a10,a12) )],[refute_0_573,refute_0_762]) ).
cnf(refute_0_764,plain,
( a1 != a12
| a12 = a1 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a1)),bind(Y0,$fot(a12))]]) ).
cnf(refute_0_765,plain,
a12 = a1,
inference(resolve,[$cnf( $equal(a1,a12) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14))]]) ).
cnf(refute_0_767,plain,
( a12 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14)) ),[1,11],$fot(a1)]]) ).
cnf(refute_0_768,plain,
( a12 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14)) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14),
inference(resolve,[$cnf( $equal(a12,a1) )],[refute_0_765,refute_0_768]) ).
cnf(refute_0_770,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_771,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14)) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_760,refute_0_771]) ).
cnf(refute_0_773,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14))]]) ).
cnf(refute_0_774,plain,
( a11 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14)) ),[1,10],$fot(a1)]]) ).
cnf(refute_0_775,plain,
( a11 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14)) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14),
inference(resolve,[$cnf( $equal(a11,a1) )],[refute_0_682,refute_0_775]) ).
cnf(refute_0_777,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_778,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14)) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_772,refute_0_778]) ).
cnf(refute_0_780,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14))]]) ).
cnf(refute_0_781,plain,
( a10 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14)) ),[1,9],$fot(a1)]]) ).
cnf(refute_0_782,plain,
( a10 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14)) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14),
inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_592,refute_0_782]) ).
cnf(refute_0_784,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_785,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14)) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_779,refute_0_785]) ).
cnf(refute_0_787,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14))]]) ).
cnf(refute_0_788,plain,
( a9 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14)) ),[1,8],$fot(a1)]]) ).
cnf(refute_0_789,plain,
( a9 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14)) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14),
inference(resolve,[$cnf( $equal(a9,a1) )],[refute_0_617,refute_0_789]) ).
cnf(refute_0_791,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_792,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14)) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_786,refute_0_792]) ).
cnf(refute_0_794,plain,
( a13 != a1
| a15 != a13
| a15 = a1 ),
introduced(tautology,[equality,[$cnf( $equal(a15,a13) ),[1],$fot(a1)]]) ).
cnf(refute_0_795,plain,
( a15 != a13
| a15 = a1 ),
inference(resolve,[$cnf( $equal(a13,a1) )],[refute_0_746,refute_0_794]) ).
cnf(refute_0_796,plain,
a15 = a1,
inference(resolve,[$cnf( $equal(a15,a13) )],[refute_0_733,refute_0_795]) ).
cnf(refute_0_797,plain,
( a15 != a1
| a4 != a15
| a4 = a1 ),
introduced(tautology,[equality,[$cnf( $equal(a4,a15) ),[1],$fot(a1)]]) ).
cnf(refute_0_798,plain,
( a4 != a15
| a4 = a1 ),
inference(resolve,[$cnf( $equal(a15,a1) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
a4 = a1,
inference(resolve,[$cnf( $equal(a4,a15) )],[refute_0_333,refute_0_798]) ).
cnf(refute_0_800,plain,
( a4 != a1
| a4 != a8
| a1 = a8 ),
introduced(tautology,[equality,[$cnf( $equal(a4,a8) ),[0],$fot(a1)]]) ).
cnf(refute_0_801,plain,
( a4 != a8
| a1 = a8 ),
inference(resolve,[$cnf( $equal(a4,a1) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
a1 = a8,
inference(resolve,[$cnf( $equal(a4,a8) )],[refute_0_321,refute_0_801]) ).
cnf(refute_0_803,plain,
( a1 != a8
| a8 = a1 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a1)),bind(Y0,$fot(a8))]]) ).
cnf(refute_0_804,plain,
a8 = a1,
inference(resolve,[$cnf( $equal(a1,a8) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14))]]) ).
cnf(refute_0_806,plain,
( a8 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14)) ),[1,7],$fot(a1)]]) ).
cnf(refute_0_807,plain,
( a8 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14),
inference(resolve,[$cnf( $equal(a8,a1) )],[refute_0_804,refute_0_807]) ).
cnf(refute_0_809,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_810,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14)) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_793,refute_0_810]) ).
cnf(refute_0_812,plain,
( a14 != a1
| a14 != a7
| a1 = a7 ),
introduced(tautology,[equality,[$cnf( $equal(a14,a7) ),[0],$fot(a1)]]) ).
cnf(refute_0_813,plain,
( a14 != a7
| a1 = a7 ),
inference(resolve,[$cnf( $equal(a14,a1) )],[refute_0_749,refute_0_812]) ).
cnf(refute_0_814,plain,
a1 = a7,
inference(resolve,[$cnf( $equal(a14,a7) )],[refute_0_346,refute_0_813]) ).
cnf(refute_0_815,plain,
( a1 != a7
| a7 = a1 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a1)),bind(Y0,$fot(a7))]]) ).
cnf(refute_0_816,plain,
a7 = a1,
inference(resolve,[$cnf( $equal(a1,a7) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14))]]) ).
cnf(refute_0_818,plain,
( a7 != a1
| tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14)) ),[1,6],$fot(a1)]]) ).
cnf(refute_0_819,plain,
( a7 != a1
| tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14),
inference(resolve,[$cnf( $equal(a7,a1) )],[refute_0_816,refute_0_819]) ).
cnf(refute_0_821,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_822,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_811,refute_0_822]) ).
cnf(refute_0_824,plain,
product(a13,a8) = product(a13,a8),
introduced(tautology,[refl,[$fot(product(a13,a8))]]) ).
cnf(refute_0_825,plain,
( a8 != a4
| product(a13,a8) != product(a13,a8)
| product(a13,a8) = product(a13,a4) ),
introduced(tautology,[equality,[$cnf( $equal(product(a13,a8),product(a13,a8)) ),[1,1],$fot(a4)]]) ).
cnf(refute_0_826,plain,
( a8 != a4
| product(a13,a8) = product(a13,a4) ),
inference(resolve,[$cnf( $equal(product(a13,a8),product(a13,a8)) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
product(a13,a8) = product(a13,a4),
inference(resolve,[$cnf( $equal(a8,a4) )],[refute_0_323,refute_0_826]) ).
cnf(refute_0_828,plain,
( product(a13,a8) != a6
| product(a13,a8) != product(a13,a4)
| product(a13,a4) = a6 ),
introduced(tautology,[equality,[$cnf( $equal(product(a13,a8),a6) ),[0],$fot(product(a13,a4))]]) ).
cnf(refute_0_829,plain,
( product(a13,a8) != a6
| product(a13,a4) = a6 ),
inference(resolve,[$cnf( $equal(product(a13,a8),product(a13,a4)) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
product(a13,a4) = a6,
inference(resolve,[$cnf( $equal(product(a13,a8),a6) )],[knot_10,refute_0_829]) ).
cnf(refute_0_831,plain,
product(a13,a4) = product(a13,a4),
introduced(tautology,[refl,[$fot(product(a13,a4))]]) ).
cnf(refute_0_832,plain,
( a4 != a15
| product(a13,a4) != product(a13,a4)
| product(a13,a4) = product(a13,a15) ),
introduced(tautology,[equality,[$cnf( $equal(product(a13,a4),product(a13,a4)) ),[1,1],$fot(a15)]]) ).
cnf(refute_0_833,plain,
( a4 != a15
| product(a13,a4) = product(a13,a15) ),
inference(resolve,[$cnf( $equal(product(a13,a4),product(a13,a4)) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
product(a13,a4) = product(a13,a15),
inference(resolve,[$cnf( $equal(a4,a15) )],[refute_0_333,refute_0_833]) ).
cnf(refute_0_835,plain,
( product(a13,a4) != a6
| product(a13,a4) != product(a13,a15)
| product(a13,a15) = a6 ),
introduced(tautology,[equality,[$cnf( $equal(product(a13,a4),a6) ),[0],$fot(product(a13,a15))]]) ).
cnf(refute_0_836,plain,
( product(a13,a4) != a6
| product(a13,a15) = a6 ),
inference(resolve,[$cnf( $equal(product(a13,a4),product(a13,a15)) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
product(a13,a15) = a6,
inference(resolve,[$cnf( $equal(product(a13,a4),a6) )],[refute_0_830,refute_0_836]) ).
cnf(refute_0_838,plain,
product(a13,a15) = product(a13,a15),
introduced(tautology,[refl,[$fot(product(a13,a15))]]) ).
cnf(refute_0_839,plain,
( a15 != a13
| product(a13,a15) != product(a13,a15)
| product(a13,a15) = product(a13,a13) ),
introduced(tautology,[equality,[$cnf( $equal(product(a13,a15),product(a13,a15)) ),[1,1],$fot(a13)]]) ).
cnf(refute_0_840,plain,
( a15 != a13
| product(a13,a15) = product(a13,a13) ),
inference(resolve,[$cnf( $equal(product(a13,a15),product(a13,a15)) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
product(a13,a15) = product(a13,a13),
inference(resolve,[$cnf( $equal(a15,a13) )],[refute_0_733,refute_0_840]) ).
cnf(refute_0_842,plain,
( product(a13,a13) != a13
| product(a13,a15) != product(a13,a13)
| product(a13,a15) = a13 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a13,a15))),bind(Y0,$fot(product(a13,a13))),bind(Z0,$fot(a13))]]) ).
cnf(refute_0_843,plain,
( product(a13,a13) != a13
| product(a13,a15) = a13 ),
inference(resolve,[$cnf( $equal(product(a13,a15),product(a13,a13)) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
product(a13,a15) = a13,
inference(resolve,[$cnf( $equal(product(a13,a13),a13) )],[refute_0_726,refute_0_843]) ).
cnf(refute_0_845,plain,
( product(a13,a15) != a13
| product(a13,a15) != a6
| a13 = a6 ),
introduced(tautology,[equality,[$cnf( $equal(product(a13,a15),a6) ),[0],$fot(a13)]]) ).
cnf(refute_0_846,plain,
( product(a13,a15) != a6
| a13 = a6 ),
inference(resolve,[$cnf( $equal(product(a13,a15),a13) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
a13 = a6,
inference(resolve,[$cnf( $equal(product(a13,a15),a6) )],[refute_0_837,refute_0_846]) ).
cnf(refute_0_848,plain,
( a13 != a1
| a13 != a6
| a1 = a6 ),
introduced(tautology,[equality,[$cnf( $equal(a13,a6) ),[0],$fot(a1)]]) ).
cnf(refute_0_849,plain,
( a13 != a6
| a1 = a6 ),
inference(resolve,[$cnf( $equal(a13,a1) )],[refute_0_746,refute_0_848]) ).
cnf(refute_0_850,plain,
a1 = a6,
inference(resolve,[$cnf( $equal(a13,a6) )],[refute_0_847,refute_0_849]) ).
cnf(refute_0_851,plain,
( a1 != a6
| a6 = a1 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a1)),bind(Y0,$fot(a6))]]) ).
cnf(refute_0_852,plain,
a6 = a1,
inference(resolve,[$cnf( $equal(a1,a6) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14))]]) ).
cnf(refute_0_854,plain,
( a6 != a1
| tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14)) ),[1,5],$fot(a1)]]) ).
cnf(refute_0_855,plain,
( a6 != a1
| tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14),
inference(resolve,[$cnf( $equal(a6,a1) )],[refute_0_852,refute_0_855]) ).
cnf(refute_0_857,plain,
( tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_858,plain,
( tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_823,refute_0_858]) ).
cnf(refute_0_860,plain,
( a15 != a14
| a15 != a5
| a14 = a5 ),
introduced(tautology,[equality,[$cnf( $equal(a15,a5) ),[0],$fot(a14)]]) ).
cnf(refute_0_861,plain,
( a15 != a5
| a14 = a5 ),
inference(resolve,[$cnf( $equal(a15,a14) )],[refute_0_669,refute_0_860]) ).
cnf(refute_0_862,plain,
a14 = a5,
inference(resolve,[$cnf( $equal(a15,a5) )],[refute_0_657,refute_0_861]) ).
cnf(refute_0_863,plain,
( a14 != a13
| a14 != a5
| a13 = a5 ),
introduced(tautology,[equality,[$cnf( $equal(a14,a5) ),[0],$fot(a13)]]) ).
cnf(refute_0_864,plain,
( a14 != a5
| a13 = a5 ),
inference(resolve,[$cnf( $equal(a14,a13) )],[refute_0_705,refute_0_863]) ).
cnf(refute_0_865,plain,
a13 = a5,
inference(resolve,[$cnf( $equal(a14,a5) )],[refute_0_862,refute_0_864]) ).
cnf(refute_0_866,plain,
( a13 != a1
| a13 != a5
| a1 = a5 ),
introduced(tautology,[equality,[$cnf( $equal(a13,a5) ),[0],$fot(a1)]]) ).
cnf(refute_0_867,plain,
( a13 != a5
| a1 = a5 ),
inference(resolve,[$cnf( $equal(a13,a1) )],[refute_0_746,refute_0_866]) ).
cnf(refute_0_868,plain,
a1 = a5,
inference(resolve,[$cnf( $equal(a13,a5) )],[refute_0_865,refute_0_867]) ).
cnf(refute_0_869,plain,
( a1 != a5
| a5 = a1 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a1)),bind(Y0,$fot(a5))]]) ).
cnf(refute_0_870,plain,
a5 = a1,
inference(resolve,[$cnf( $equal(a1,a5) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))]]) ).
cnf(refute_0_872,plain,
( a5 != a1
| tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) ),[1,4],$fot(a1)]]) ).
cnf(refute_0_873,plain,
( a5 != a1
| tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14),
inference(resolve,[$cnf( $equal(a5,a1) )],[refute_0_870,refute_0_873]) ).
cnf(refute_0_875,plain,
( tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_876,plain,
( tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_859,refute_0_876]) ).
cnf(refute_0_878,plain,
tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))]]) ).
cnf(refute_0_879,plain,
( a4 != a1
| tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) ),[1,3],$fot(a1)]]) ).
cnf(refute_0_880,plain,
( a4 != a1
| tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),
inference(resolve,[$cnf( $equal(a4,a1) )],[refute_0_799,refute_0_880]) ).
cnf(refute_0_882,plain,
( tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_883,plain,
( tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_877,refute_0_883]) ).
cnf(refute_0_885,plain,
( a15 != a1
| a3 != a15
| a3 = a1 ),
introduced(tautology,[equality,[$cnf( $equal(a3,a15) ),[1],$fot(a1)]]) ).
cnf(refute_0_886,plain,
( a3 != a15
| a3 = a1 ),
inference(resolve,[$cnf( $equal(a15,a1) )],[refute_0_796,refute_0_885]) ).
cnf(refute_0_887,plain,
a3 = a1,
inference(resolve,[$cnf( $equal(a3,a15) )],[refute_0_627,refute_0_886]) ).
cnf(refute_0_888,plain,
tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))]]) ).
cnf(refute_0_889,plain,
( a3 != a1
| tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) ),[1,2],$fot(a1)]]) ).
cnf(refute_0_890,plain,
( a3 != a1
| tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),
inference(resolve,[$cnf( $equal(a3,a1) )],[refute_0_887,refute_0_890]) ).
cnf(refute_0_892,plain,
( tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_893,plain,
( tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_884,refute_0_893]) ).
cnf(refute_0_895,plain,
product(a6,a7) = product(a6,a7),
introduced(tautology,[refl,[$fot(product(a6,a7))]]) ).
cnf(refute_0_896,plain,
( a7 != a14
| product(a6,a7) != product(a6,a7)
| product(a6,a7) = product(a6,a14) ),
introduced(tautology,[equality,[$cnf( $equal(product(a6,a7),product(a6,a7)) ),[1,1],$fot(a14)]]) ).
cnf(refute_0_897,plain,
( a7 != a14
| product(a6,a7) = product(a6,a14) ),
inference(resolve,[$cnf( $equal(product(a6,a7),product(a6,a7)) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
product(a6,a7) = product(a6,a14),
inference(resolve,[$cnf( $equal(a7,a14) )],[refute_0_348,refute_0_897]) ).
cnf(refute_0_899,plain,
( product(a6,a7) != a2
| product(a6,a7) != product(a6,a14)
| product(a6,a14) = a2 ),
introduced(tautology,[equality,[$cnf( $equal(product(a6,a7),a2) ),[0],$fot(product(a6,a14))]]) ).
cnf(refute_0_900,plain,
( product(a6,a7) != a2
| product(a6,a14) = a2 ),
inference(resolve,[$cnf( $equal(product(a6,a7),product(a6,a14)) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
product(a6,a14) = a2,
inference(resolve,[$cnf( $equal(product(a6,a7),a2) )],[knot_11,refute_0_900]) ).
cnf(refute_0_902,plain,
( a13 != a6
| a6 = a13 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a13)),bind(Y0,$fot(a6))]]) ).
cnf(refute_0_903,plain,
a6 = a13,
inference(resolve,[$cnf( $equal(a13,a6) )],[refute_0_847,refute_0_902]) ).
cnf(refute_0_904,plain,
product(a6,a14) = product(a6,a14),
introduced(tautology,[refl,[$fot(product(a6,a14))]]) ).
cnf(refute_0_905,plain,
( a6 != a13
| product(a6,a14) != product(a6,a14)
| product(a6,a14) = product(a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(product(a6,a14),product(a6,a14)) ),[1,0],$fot(a13)]]) ).
cnf(refute_0_906,plain,
( a6 != a13
| product(a6,a14) = product(a13,a14) ),
inference(resolve,[$cnf( $equal(product(a6,a14),product(a6,a14)) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
product(a6,a14) = product(a13,a14),
inference(resolve,[$cnf( $equal(a6,a13) )],[refute_0_903,refute_0_906]) ).
cnf(refute_0_908,plain,
( product(a13,a14) != product(a13,a13)
| product(a6,a14) != product(a13,a14)
| product(a6,a14) = product(a13,a13) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a6,a14))),bind(Y0,$fot(product(a13,a14))),bind(Z0,$fot(product(a13,a13)))]]) ).
cnf(refute_0_909,plain,
( product(a13,a14) != product(a13,a13)
| product(a6,a14) = product(a13,a13) ),
inference(resolve,[$cnf( $equal(product(a6,a14),product(a13,a14)) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
product(a6,a14) = product(a13,a13),
inference(resolve,[$cnf( $equal(product(a13,a14),product(a13,a13)) )],[refute_0_730,refute_0_909]) ).
cnf(refute_0_911,plain,
( product(a13,a13) != a13
| product(a6,a14) != product(a13,a13)
| product(a6,a14) = a13 ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(product(a6,a14))),bind(Y0,$fot(product(a13,a13))),bind(Z0,$fot(a13))]]) ).
cnf(refute_0_912,plain,
( product(a13,a13) != a13
| product(a6,a14) = a13 ),
inference(resolve,[$cnf( $equal(product(a6,a14),product(a13,a13)) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
product(a6,a14) = a13,
inference(resolve,[$cnf( $equal(product(a13,a13),a13) )],[refute_0_726,refute_0_912]) ).
cnf(refute_0_914,plain,
( product(a6,a14) != a13
| product(a6,a14) != a2
| a13 = a2 ),
introduced(tautology,[equality,[$cnf( $equal(product(a6,a14),a2) ),[0],$fot(a13)]]) ).
cnf(refute_0_915,plain,
( product(a6,a14) != a2
| a13 = a2 ),
inference(resolve,[$cnf( $equal(product(a6,a14),a13) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
a13 = a2,
inference(resolve,[$cnf( $equal(product(a6,a14),a2) )],[refute_0_901,refute_0_915]) ).
cnf(refute_0_917,plain,
( a13 != a1
| a13 != a2
| a1 = a2 ),
introduced(tautology,[equality,[$cnf( $equal(a13,a2) ),[0],$fot(a1)]]) ).
cnf(refute_0_918,plain,
( a13 != a2
| a1 = a2 ),
inference(resolve,[$cnf( $equal(a13,a1) )],[refute_0_746,refute_0_917]) ).
cnf(refute_0_919,plain,
a1 = a2,
inference(resolve,[$cnf( $equal(a13,a2) )],[refute_0_916,refute_0_918]) ).
cnf(refute_0_920,plain,
( a1 != a2
| a2 = a1 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(a1)),bind(Y0,$fot(a2))]]) ).
cnf(refute_0_921,plain,
a2 = a1,
inference(resolve,[$cnf( $equal(a1,a2) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),
introduced(tautology,[refl,[$fot(tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))]]) ).
cnf(refute_0_923,plain,
( a2 != a1
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) ),[1,1],$fot(a1)]]) ).
cnf(refute_0_924,plain,
( a2 != a1
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) ),
inference(resolve,[$cnf( $equal(tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),
inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_921,refute_0_924]) ).
cnf(refute_0_926,plain,
( tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Y0,$fot(tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_927,plain,
( tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_894,refute_0_927]) ).
cnf(refute_0_929,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) ),[1],$fot(tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_930,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15))]]) ).
cnf(refute_0_932,plain,
( a15 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15)) ),[1,13],$fot(a1)]]) ).
cnf(refute_0_933,plain,
( a15 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15)) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(a15,a1) )],[refute_0_796,refute_0_933]) ).
cnf(refute_0_935,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15))]]) ).
cnf(refute_0_936,plain,
( a14 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15)) ),[1,12],$fot(a1)]]) ).
cnf(refute_0_937,plain,
( a14 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15)) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15),
inference(resolve,[$cnf( $equal(a14,a1) )],[refute_0_749,refute_0_937]) ).
cnf(refute_0_939,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_940,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15)) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_934,refute_0_940]) ).
cnf(refute_0_942,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15))]]) ).
cnf(refute_0_943,plain,
( a13 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15)) ),[1,11],$fot(a1)]]) ).
cnf(refute_0_944,plain,
( a13 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15)) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15),
inference(resolve,[$cnf( $equal(a13,a1) )],[refute_0_746,refute_0_944]) ).
cnf(refute_0_946,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_947,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15)) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_941,refute_0_947]) ).
cnf(refute_0_949,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15))]]) ).
cnf(refute_0_950,plain,
( a12 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15)) ),[1,10],$fot(a1)]]) ).
cnf(refute_0_951,plain,
( a12 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15)) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15),
inference(resolve,[$cnf( $equal(a12,a1) )],[refute_0_765,refute_0_951]) ).
cnf(refute_0_953,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_954,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15)) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_948,refute_0_954]) ).
cnf(refute_0_956,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_957,plain,
( a11 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15)) ),[1,9],$fot(a1)]]) ).
cnf(refute_0_958,plain,
( a11 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a11,a1) )],[refute_0_682,refute_0_958]) ).
cnf(refute_0_960,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_961,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15)) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_955,refute_0_961]) ).
cnf(refute_0_963,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_964,plain,
( a10 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15)) ),[1,8],$fot(a1)]]) ).
cnf(refute_0_965,plain,
( a10 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15)) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a10,a1) )],[refute_0_592,refute_0_965]) ).
cnf(refute_0_967,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_968,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15)) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_962,refute_0_968]) ).
cnf(refute_0_970,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_971,plain,
( a9 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15)) ),[1,7],$fot(a1)]]) ).
cnf(refute_0_972,plain,
( a9 != a1
| tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a9,a1) )],[refute_0_617,refute_0_972]) ).
cnf(refute_0_974,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_975,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15)) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_969,refute_0_975]) ).
cnf(refute_0_977,plain,
tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_978,plain,
( a8 != a1
| tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15)) ),[1,6],$fot(a1)]]) ).
cnf(refute_0_979,plain,
( a8 != a1
| tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_977,refute_0_978]) ).
cnf(refute_0_980,plain,
tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a8,a1) )],[refute_0_804,refute_0_979]) ).
cnf(refute_0_981,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_982,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_976,refute_0_982]) ).
cnf(refute_0_984,plain,
tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_985,plain,
( a7 != a1
| tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15)) ),[1,5],$fot(a1)]]) ).
cnf(refute_0_986,plain,
( a7 != a1
| tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a7,a1) )],[refute_0_816,refute_0_986]) ).
cnf(refute_0_988,plain,
( tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_989,plain,
( tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_983,refute_0_989]) ).
cnf(refute_0_991,plain,
tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_992,plain,
( a6 != a1
| tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) ),[1,4],$fot(a1)]]) ).
cnf(refute_0_993,plain,
( a6 != a1
| tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_991,refute_0_992]) ).
cnf(refute_0_994,plain,
tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a6,a1) )],[refute_0_852,refute_0_993]) ).
cnf(refute_0_995,plain,
( tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_996,plain,
( tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_990,refute_0_996]) ).
cnf(refute_0_998,plain,
tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_999,plain,
( a5 != a1
| tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) ),[1,3],$fot(a1)]]) ).
cnf(refute_0_1000,plain,
( a5 != a1
| tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_998,refute_0_999]) ).
cnf(refute_0_1001,plain,
tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a5,a1) )],[refute_0_870,refute_0_1000]) ).
cnf(refute_0_1002,plain,
( tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_1003,plain,
( tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_997,refute_0_1003]) ).
cnf(refute_0_1005,plain,
tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_1006,plain,
( a4 != a1
| tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) ),[1,2],$fot(a1)]]) ).
cnf(refute_0_1007,plain,
( a4 != a1
| tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a4,a1) )],[refute_0_799,refute_0_1007]) ).
cnf(refute_0_1009,plain,
( tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_1010,plain,
( tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1004,refute_0_1010]) ).
cnf(refute_0_1012,plain,
tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_1013,plain,
( a3 != a1
| tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) ),[1,1],$fot(a1)]]) ).
cnf(refute_0_1014,plain,
( a3 != a1
| tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a3,a1) )],[refute_0_887,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_1017,plain,
( tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1011,refute_0_1017]) ).
cnf(refute_0_1019,plain,
tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
introduced(tautology,[refl,[$fot(tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))]]) ).
cnf(refute_0_1020,plain,
( a2 != a1
| tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) ),[1,0],$fot(a1)]]) ).
cnf(refute_0_1021,plain,
( a2 != a1
| tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(resolve,[$cnf( $equal(a2,a1) )],[refute_0_921,refute_0_1021]) ).
cnf(refute_0_1023,plain,
( tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)
| tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(subst,[],[refute_0_52:[bind(X0,$fot(tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Y0,$fot(tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15))),bind(Z0,$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)))]]) ).
cnf(refute_0_1024,plain,
( tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) ),
inference(resolve,[$cnf( $equal(tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_1022,refute_0_1023]) ).
cnf(refute_0_1025,plain,
tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1018,refute_0_1024]) ).
cnf(refute_0_1026,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) = tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) ),[1],$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1))]]) ).
cnf(refute_0_1027,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) = tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
( tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)
| tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) = tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) ),
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_1027,refute_0_930]) ).
cnf(refute_0_1029,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(resolve,[$cnf( $equal(tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) )],[refute_0_1028,goal]) ).
cnf(refute_0_1030,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) = tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
introduced(tautology,[refl,[$fot(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1))]]) ).
cnf(refute_0_1031,plain,
$false,
inference(resolve,[$cnf( $equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)) )],[refute_0_1030,refute_0_1029]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 14:37:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.59
% 0.40/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.51/0.69
%------------------------------------------------------------------------------