%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP764-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:31:24 AM UTC 2026
% Result : Unsatisfiable 55.11s 8.31s
% Output : CNFRefutation 55.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 141
% Number of leaves : 13
% Syntax : Number of formulae : 1490 (1490 unt; 0 def)
% Number of atoms : 1490 (1489 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 2633 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos01,axiom,
! [VAR_0] : product(VAR_0,one) = VAR_0,
file('theBenchmark.p',sos01) ).
cnf(c_1,plain,
product(A,one) = A,
inference(clausify,[status(thm)],[sos01]) ).
fof(sos02,axiom,
! [VAR_0] : product(one,VAR_0) = VAR_0,
file('theBenchmark.p',sos02) ).
cnf(c_2,plain,
product(one,A) = A,
inference(clausify,[status(thm)],[sos02]) ).
fof(sos03,axiom,
! [VAR_0,VAR_1] : product(VAR_0,difference(VAR_0,VAR_1)) = VAR_1,
file('theBenchmark.p',sos03) ).
cnf(c_3,plain,
product(A,difference(A,B)) = B,
inference(clausify,[status(thm)],[sos03]) ).
fof(sos04,axiom,
! [VAR_0,VAR_1] : difference(VAR_0,product(VAR_0,VAR_1)) = VAR_1,
file('theBenchmark.p',sos04) ).
cnf(c_4,plain,
difference(A,product(A,B)) = B,
inference(clausify,[status(thm)],[sos04]) ).
fof(sos05,axiom,
! [VAR_0,VAR_1] : quotient(product(VAR_0,VAR_1),VAR_1) = VAR_0,
file('theBenchmark.p',sos05) ).
cnf(c_5,plain,
quotient(product(A,B),B) = A,
inference(clausify,[status(thm)],[sos05]) ).
fof(sos06,axiom,
! [VAR_0,VAR_1] : product(quotient(VAR_0,VAR_1),VAR_1) = VAR_0,
file('theBenchmark.p',sos06) ).
cnf(c_6,plain,
product(quotient(A,B),B) = A,
inference(clausify,[status(thm)],[sos06]) ).
fof(sos07,axiom,
! [VAR_0,VAR_1,VAR_2] : difference(VAR_0,product(product(VAR_0,VAR_1),VAR_2)) = quotient(product(VAR_1,product(VAR_2,VAR_0)),VAR_0),
file('theBenchmark.p',sos07) ).
cnf(c_7,plain,
difference(A,product(product(A,B),C)) = quotient(product(B,product(C,A)),A),
inference(clausify,[status(thm)],[sos07]) ).
fof(sos08,axiom,
! [VAR_0,VAR_1,VAR_2] : difference(product(VAR_0,VAR_1),product(VAR_0,product(VAR_1,VAR_2))) = quotient(quotient(product(VAR_2,product(VAR_0,VAR_1)),VAR_1),VAR_0),
file('theBenchmark.p',sos08) ).
cnf(c_8,plain,
difference(product(A,B),product(A,product(B,C))) = quotient(quotient(product(C,product(A,B)),B),A),
inference(clausify,[status(thm)],[sos08]) ).
fof(sos09,axiom,
! [VAR_0] : i(VAR_0) = difference(VAR_0,one),
file('theBenchmark.p',sos09) ).
cnf(c_9,plain,
i(A) = difference(A,one),
inference(clausify,[status(thm)],[sos09]) ).
fof(sos10,axiom,
! [VAR_0] : j(VAR_0) = quotient(one,VAR_0),
file('theBenchmark.p',sos10) ).
cnf(c_10,plain,
j(A) = quotient(one,A),
inference(clausify,[status(thm)],[sos10]) ).
fof(sos11,axiom,
! [VAR_0] : product(i(VAR_0),VAR_0) = product(VAR_0,j(VAR_0)),
file('theBenchmark.p',sos11) ).
cnf(c_11,plain,
product(i(A),A) = product(A,j(A)),
inference(clausify,[status(thm)],[sos11]) ).
cnf(c_26742,plain,
product(difference(A,one),A) = product(A,j(A)),
inference(paramod,[status(thm)],[c_9,c_11]) ).
cnf(c_12,plain,
product(difference(A,one),A) = product(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_10,c_26742]) ).
fof(sos12,axiom,
! [VAR_0] : eta(VAR_0) = product(i(VAR_0),VAR_0),
file('theBenchmark.p',sos12) ).
cnf(c_13,plain,
eta(A) = product(i(A),A),
inference(clausify,[status(thm)],[sos12]) ).
cnf(c_26743,plain,
eta(A) = product(difference(A,one),A),
inference(paramod,[status(thm)],[c_9,c_13]) ).
cnf(c_14,plain,
eta(A) = product(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_12,c_26743]) ).
fof(goals,axiom,
product(x0,product(eta(x0),x1)) != product(j(j(x0)),x1),
file('theBenchmark.p',goals) ).
cnf(c_15,plain,
product(x0,product(eta(x0),x1)) != product(j(j(x0)),x1),
inference(clausify,[status(thm)],[goals]) ).
cnf(c_26744,plain,
product(x0,product(product(x0,quotient(one,x0)),x1)) != product(j(j(x0)),x1),
inference(paramod,[status(thm)],[c_14,c_15]) ).
cnf(c_26745,plain,
product(x0,product(product(x0,quotient(one,x0)),x1)) != product(j(quotient(one,x0)),x1),
inference(paramod,[status(thm)],[c_10,c_26744]) ).
cnf(c_16,plain,
product(x0,product(product(x0,quotient(one,x0)),x1)) != product(quotient(one,quotient(one,x0)),x1),
inference(paramod,[status(thm)],[c_10,c_26745]) ).
cnf(c_26746,plain,
A = difference(one,A),
inference(paramod,[status(thm)],[c_3,c_2]) ).
cnf(c_17,plain,
difference(one,A) = A,
inference(copy,[status(thm)],[c_26746]) ).
cnf(c_18,plain,
difference(A,A) = one,
inference(paramod,[status(thm)],[c_1,c_4]) ).
cnf(c_19,plain,
quotient(A,one) = A,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_20,plain,
quotient(A,A) = one,
inference(paramod,[status(thm)],[c_2,c_5]) ).
cnf(c_21,plain,
quotient(A,difference(B,A)) = B,
inference(paramod,[status(thm)],[c_3,c_5]) ).
cnf(c_22,plain,
difference(quotient(A,B),A) = B,
inference(paramod,[status(thm)],[c_6,c_4]) ).
cnf(c_23,plain,
product(A,quotient(product(B,product(C,A)),A)) = product(product(A,B),C),
inference(paramod,[status(thm)],[c_7,c_3]) ).
cnf(c_26747,plain,
difference(A,product(B,C)) = quotient(product(difference(A,B),product(C,A)),A),
inference(paramod,[status(thm)],[c_3,c_7]) ).
cnf(c_24,plain,
quotient(product(difference(A,B),product(C,A)),A) = difference(A,product(B,C)),
inference(copy,[status(thm)],[c_26747]) ).
cnf(c_26748,plain,
difference(A,B) = quotient(product(C,product(difference(product(A,C),B),A)),A),
inference(paramod,[status(thm)],[c_3,c_7]) ).
cnf(c_25,plain,
quotient(product(A,product(difference(product(B,A),C),B)),B) = difference(B,C),
inference(copy,[status(thm)],[c_26748]) ).
cnf(c_26749,plain,
difference(quotient(A,B),product(A,C)) = quotient(product(B,product(C,quotient(A,B))),quotient(A,B)),
inference(paramod,[status(thm)],[c_6,c_7]) ).
cnf(c_26,plain,
quotient(product(A,product(B,quotient(C,A))),quotient(C,A)) = difference(quotient(C,A),product(C,B)),
inference(copy,[status(thm)],[c_26749]) ).
cnf(c_26750,plain,
difference(A,product(B,product(difference(B,A),C))) = quotient(quotient(product(C,product(B,difference(B,A))),difference(B,A)),B),
inference(paramod,[status(thm)],[c_3,c_8]) ).
cnf(c_28,plain,
difference(A,product(B,product(difference(B,A),C))) = quotient(quotient(product(C,A),difference(B,A)),B),
inference(paramod,[status(thm)],[c_3,c_26750]) ).
cnf(c_26751,plain,
difference(product(A,B),product(A,C)) = quotient(quotient(product(difference(B,C),product(A,B)),B),A),
inference(paramod,[status(thm)],[c_3,c_8]) ).
cnf(c_29,plain,
difference(product(A,B),product(A,C)) = quotient(difference(B,product(C,A)),A),
inference(paramod,[status(thm)],[c_24,c_26751]) ).
cnf(c_26752,plain,
difference(A,product(quotient(A,B),product(B,C))) = quotient(quotient(product(C,product(quotient(A,B),B)),B),quotient(A,B)),
inference(paramod,[status(thm)],[c_6,c_8]) ).
cnf(c_30,plain,
difference(A,product(quotient(A,B),product(B,C))) = quotient(quotient(product(C,A),B),quotient(A,B)),
inference(paramod,[status(thm)],[c_6,c_26752]) ).
cnf(c_26753,plain,
difference(product(quotient(A,product(B,C)),B),A) = quotient(quotient(product(C,product(quotient(A,product(B,C)),B)),B),quotient(A,product(B,C))),
inference(paramod,[status(thm)],[c_6,c_8]) ).
cnf(c_31,plain,
quotient(quotient(product(A,product(quotient(B,product(C,A)),C)),C),quotient(B,product(C,A))) = difference(product(quotient(B,product(C,A)),C),B),
inference(copy,[status(thm)],[c_26753]) ).
cnf(c_32,plain,
difference(difference(A,one),product(A,quotient(one,A))) = A,
inference(paramod,[status(thm)],[c_12,c_4]) ).
cnf(c_33,plain,
quotient(product(A,quotient(one,A)),A) = difference(A,one),
inference(paramod,[status(thm)],[c_12,c_5]) ).
cnf(c_34,plain,
difference(difference(A,one),product(product(A,quotient(one,A)),B)) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_12,c_7]) ).
cnf(c_35,plain,
quotient(product(product(A,B),C),quotient(product(B,product(C,A)),A)) = A,
inference(paramod,[status(thm)],[c_7,c_21]) ).
cnf(c_26754,plain,
product(A,quotient(one,A)) = product(quotient(one,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_12]) ).
cnf(c_36,plain,
product(quotient(one,A),quotient(one,quotient(one,A))) = product(A,quotient(one,A)),
inference(copy,[status(thm)],[c_26754]) ).
cnf(c_38,plain,
product(difference(A,B),quotient(product(C,B),difference(A,B))) = product(product(difference(A,B),C),A),
inference(paramod,[status(thm)],[c_3,c_23]) ).
cnf(c_26755,plain,
product(A,quotient(product(B,C),A)) = product(product(A,B),quotient(C,A)),
inference(paramod,[status(thm)],[c_6,c_23]) ).
cnf(c_39,plain,
product(product(A,B),quotient(C,A)) = product(A,quotient(product(B,C),A)),
inference(copy,[status(thm)],[c_26755]) ).
cnf(c_26756,plain,
product(A,quotient(B,A)) = product(product(A,quotient(B,product(C,A))),C),
inference(paramod,[status(thm)],[c_6,c_23]) ).
cnf(c_40,plain,
product(product(A,quotient(B,product(C,A))),C) = product(A,quotient(B,A)),
inference(copy,[status(thm)],[c_26756]) ).
cnf(c_26757,plain,
difference(A,product(product(product(A,B),C),D)) = quotient(product(B,product(quotient(product(C,product(D,product(A,B))),product(A,B)),A)),A),
inference(paramod,[status(thm)],[c_23,c_7]) ).
cnf(c_42,plain,
quotient(product(A,product(quotient(product(B,product(C,product(D,A))),product(D,A)),D)),D) = difference(D,product(product(product(D,A),B),C)),
inference(copy,[status(thm)],[c_26757]) ).
cnf(c_43,plain,
product(A,quotient(product(B,product(A,quotient(one,A))),A)) = product(product(A,B),difference(A,one)),
inference(paramod,[status(thm)],[c_12,c_23]) ).
cnf(c_26758,plain,
difference(product(A,B),A) = quotient(difference(B,product(one,A)),A),
inference(paramod,[status(thm)],[c_1,c_29]) ).
cnf(c_47,plain,
difference(product(A,B),A) = quotient(difference(B,A),A),
inference(paramod,[status(thm)],[c_2,c_26758]) ).
cnf(c_26759,plain,
difference(A,product(B,C)) = quotient(difference(difference(B,A),product(C,B)),B),
inference(paramod,[status(thm)],[c_3,c_29]) ).
cnf(c_48,plain,
quotient(difference(difference(A,B),product(C,A)),A) = difference(B,product(A,C)),
inference(copy,[status(thm)],[c_26759]) ).
cnf(c_26760,plain,
difference(product(A,B),C) = quotient(difference(B,product(difference(A,C),A)),A),
inference(paramod,[status(thm)],[c_3,c_29]) ).
cnf(c_49,plain,
quotient(difference(A,product(difference(B,C),B)),B) = difference(product(B,A),C),
inference(copy,[status(thm)],[c_26760]) ).
cnf(c_26761,plain,
difference(A,product(quotient(A,B),C)) = quotient(difference(B,product(C,quotient(A,B))),quotient(A,B)),
inference(paramod,[status(thm)],[c_6,c_29]) ).
cnf(c_50,plain,
quotient(difference(A,product(B,quotient(C,A))),quotient(C,A)) = difference(C,product(quotient(C,A),B)),
inference(copy,[status(thm)],[c_26761]) ).
cnf(c_52,plain,
difference(product(A,quotient(one,A)),product(difference(A,one),B)) = quotient(difference(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_12,c_29]) ).
cnf(c_26762,plain,
difference(product(difference(A,one),B),product(A,quotient(one,A))) = quotient(difference(B,product(A,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_12,c_29]) ).
cnf(c_53,plain,
difference(product(difference(A,one),B),product(A,quotient(one,A))) = quotient(difference(B,one),difference(A,one)),
inference(paramod,[status(thm)],[c_3,c_26762]) ).
cnf(c_26763,plain,
difference(product(A,B),product(product(A,C),D)) = quotient(difference(B,product(quotient(product(C,product(D,A)),A),A)),A),
inference(paramod,[status(thm)],[c_23,c_29]) ).
cnf(c_57,plain,
difference(product(A,B),product(product(A,C),D)) = quotient(difference(B,product(C,product(D,A))),A),
inference(paramod,[status(thm)],[c_6,c_26763]) ).
cnf(c_26764,plain,
difference(product(quotient(one,A),difference(A,one)),product(quotient(one,A),A)) = quotient(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_32,c_29]) ).
cnf(c_59,plain,
difference(product(quotient(one,A),difference(A,one)),one) = quotient(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_6,c_26764]) ).
cnf(c_26765,plain,
difference(A,B) = quotient(difference(difference(B,A),B),B),
inference(paramod,[status(thm)],[c_3,c_47]) ).
cnf(c_60,plain,
quotient(difference(difference(A,B),A),A) = difference(B,A),
inference(copy,[status(thm)],[c_26765]) ).
cnf(c_26766,plain,
difference(A,quotient(A,B)) = quotient(difference(B,quotient(A,B)),quotient(A,B)),
inference(paramod,[status(thm)],[c_6,c_47]) ).
cnf(c_61,plain,
quotient(difference(A,quotient(B,A)),quotient(B,A)) = difference(B,quotient(B,A)),
inference(copy,[status(thm)],[c_26766]) ).
cnf(c_26767,plain,
product(difference(A,B),B) = difference(difference(B,A),B),
inference(paramod,[status(thm)],[c_60,c_6]) ).
cnf(c_66,plain,
difference(difference(A,B),A) = product(difference(B,A),A),
inference(copy,[status(thm)],[c_26767]) ).
cnf(c_69,plain,
product(difference(A,B),product(difference(B,A),A)) = A,
inference(paramod,[status(thm)],[c_66,c_3]) ).
cnf(c_26768,plain,
difference(difference(product(A,B),A),product(A,B)) = product(B,product(A,B)),
inference(paramod,[status(thm)],[c_4,c_66]) ).
cnf(c_70,plain,
difference(quotient(difference(A,B),B),product(B,A)) = product(A,product(B,A)),
inference(paramod,[status(thm)],[c_47,c_26768]) ).
cnf(c_72,plain,
quotient(A,product(difference(B,A),A)) = difference(A,B),
inference(paramod,[status(thm)],[c_66,c_21]) ).
cnf(c_26769,plain,
difference(A,quotient(B,A)) = product(difference(B,quotient(B,A)),quotient(B,A)),
inference(paramod,[status(thm)],[c_22,c_66]) ).
cnf(c_73,plain,
product(difference(A,quotient(A,B)),quotient(A,B)) = difference(B,quotient(A,B)),
inference(copy,[status(thm)],[c_26769]) ).
cnf(c_26770,plain,
difference(quotient(difference(A,product(B,C)),C),product(C,A)) = product(difference(product(C,B),product(C,A)),product(C,A)),
inference(paramod,[status(thm)],[c_29,c_66]) ).
cnf(c_75,plain,
difference(quotient(difference(A,product(B,C)),C),product(C,A)) = product(quotient(difference(B,product(A,C)),C),product(C,A)),
inference(paramod,[status(thm)],[c_29,c_26770]) ).
cnf(c_26771,plain,
quotient(product(A,B),product(B,product(A,B))) = difference(product(A,B),A),
inference(paramod,[status(thm)],[c_4,c_72]) ).
cnf(c_77,plain,
quotient(product(A,B),product(B,product(A,B))) = quotient(difference(B,A),A),
inference(paramod,[status(thm)],[c_47,c_26771]) ).
cnf(c_79,plain,
quotient(A,product(A,A)) = difference(A,one),
inference(paramod,[status(thm)],[c_17,c_72]) ).
cnf(c_26772,plain,
quotient(A,product(B,A)) = difference(A,quotient(A,B)),
inference(paramod,[status(thm)],[c_22,c_72]) ).
cnf(c_80,plain,
difference(A,quotient(A,B)) = quotient(A,product(B,A)),
inference(copy,[status(thm)],[c_26772]) ).
cnf(c_26773,plain,
quotient(product(A,B),product(quotient(difference(C,product(B,A)),A),product(A,B))) = difference(product(A,B),product(A,C)),
inference(paramod,[status(thm)],[c_29,c_72]) ).
cnf(c_83,plain,
quotient(product(A,B),product(quotient(difference(C,product(B,A)),A),product(A,B))) = quotient(difference(B,product(C,A)),A),
inference(paramod,[status(thm)],[c_29,c_26773]) ).
cnf(c_85,plain,
product(quotient(A,product(B,A)),quotient(A,B)) = difference(B,quotient(A,B)),
inference(paramod,[status(thm)],[c_80,c_73]) ).
cnf(c_86,plain,
quotient(difference(A,quotient(B,A)),quotient(B,A)) = quotient(B,product(A,B)),
inference(paramod,[status(thm)],[c_80,c_61]) ).
cnf(c_88,plain,
product(difference(A,product(B,C)),A) = product(difference(A,B),product(C,A)),
inference(paramod,[status(thm)],[c_24,c_6]) ).
cnf(c_26774,plain,
quotient(product(difference(A,B),C),A) = difference(A,product(B,quotient(C,A))),
inference(paramod,[status(thm)],[c_6,c_24]) ).
cnf(c_89,plain,
difference(A,product(B,quotient(C,A))) = quotient(product(difference(A,B),C),A),
inference(copy,[status(thm)],[c_26774]) ).
cnf(c_90,plain,
quotient(product(difference(A,B),product(A,quotient(one,A))),A) = difference(A,product(B,difference(A,one))),
inference(paramod,[status(thm)],[c_12,c_24]) ).
cnf(c_98,plain,
quotient(quotient(product(difference(A,B),C),A),quotient(C,A)) = difference(C,product(quotient(C,A),B)),
inference(paramod,[status(thm)],[c_89,c_50]) ).
cnf(c_99,plain,
product(difference(A,one),product(A,A)) = A,
inference(paramod,[status(thm)],[c_79,c_6]) ).
cnf(c_100,plain,
product(A,quotient(A,product(B,A))) = quotient(A,B),
inference(paramod,[status(thm)],[c_80,c_3]) ).
cnf(c_101,plain,
quotient(quotient(A,B),quotient(A,product(B,A))) = A,
inference(paramod,[status(thm)],[c_80,c_21]) ).
cnf(c_26775,plain,
difference(A,difference(A,one)) = quotient(A,product(product(A,A),A)),
inference(paramod,[status(thm)],[c_79,c_80]) ).
cnf(c_104,plain,
quotient(A,product(product(A,A),A)) = difference(A,difference(A,one)),
inference(copy,[status(thm)],[c_26775]) ).
cnf(c_111,plain,
quotient(product(difference(product(A,A),B),A),product(A,A)) = difference(product(A,A),product(B,difference(A,one))),
inference(paramod,[status(thm)],[c_99,c_24]) ).
cnf(c_112,plain,
product(difference(A,B),quotient(difference(A,B),B)) = quotient(difference(A,B),A),
inference(paramod,[status(thm)],[c_3,c_100]) ).
cnf(c_26776,plain,
product(A,quotient(A,B)) = quotient(A,quotient(B,A)),
inference(paramod,[status(thm)],[c_6,c_100]) ).
cnf(c_113,plain,
quotient(A,quotient(B,A)) = product(A,quotient(A,B)),
inference(copy,[status(thm)],[c_26776]) ).
cnf(c_26777,plain,
product(product(A,A),quotient(product(A,A),A)) = quotient(product(A,A),difference(A,one)),
inference(paramod,[status(thm)],[c_99,c_100]) ).
cnf(c_26778,plain,
product(product(A,A),A) = quotient(product(A,A),difference(A,one)),
inference(paramod,[status(thm)],[c_5,c_26777]) ).
cnf(c_122,plain,
quotient(product(A,A),difference(A,one)) = product(product(A,A),A),
inference(copy,[status(thm)],[c_26778]) ).
cnf(c_26779,plain,
difference(product(quotient(one,A),difference(A,one)),one) = product(A,quotient(A,one)),
inference(paramod,[status(thm)],[c_113,c_59]) ).
cnf(c_124,plain,
difference(product(quotient(one,A),difference(A,one)),one) = product(A,A),
inference(paramod,[status(thm)],[c_19,c_26779]) ).
cnf(c_128,plain,
product(product(product(A,A),A),difference(A,one)) = product(A,A),
inference(paramod,[status(thm)],[c_122,c_6]) ).
cnf(c_26780,plain,
quotient(product(quotient(one,A),quotient(one,A)),A) = product(product(quotient(one,A),quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_122]) ).
cnf(c_129,plain,
product(product(quotient(one,A),quotient(one,A)),quotient(one,A)) = quotient(product(quotient(one,A),quotient(one,A)),A),
inference(copy,[status(thm)],[c_26780]) ).
cnf(c_26781,plain,
product(difference(A,B),A) = product(C,product(difference(product(A,C),B),A)),
inference(paramod,[status(thm)],[c_25,c_6]) ).
cnf(c_131,plain,
product(A,product(difference(product(B,A),C),B)) = product(difference(B,C),B),
inference(copy,[status(thm)],[c_26781]) ).
cnf(c_136,plain,
product(product(difference(A,B),B),quotient(product(C,B),product(difference(A,B),B))) = product(product(product(difference(A,B),B),C),difference(B,A)),
inference(paramod,[status(thm)],[c_69,c_23]) ).
cnf(c_26782,plain,
quotient(one,product(A,A)) = product(quotient(one,A),difference(A,one)),
inference(paramod,[status(thm)],[c_124,c_21]) ).
cnf(c_146,plain,
product(quotient(one,A),difference(A,one)) = quotient(one,product(A,A)),
inference(copy,[status(thm)],[c_26782]) ).
cnf(c_147,plain,
difference(product(A,difference(difference(A,one),one)),one) = product(difference(A,one),difference(A,one)),
inference(paramod,[status(thm)],[c_21,c_124]) ).
cnf(c_151,plain,
difference(quotient(one,A),quotient(one,product(A,A))) = difference(A,one),
inference(paramod,[status(thm)],[c_146,c_4]) ).
cnf(c_152,plain,
quotient(quotient(one,product(A,A)),difference(A,one)) = quotient(one,A),
inference(paramod,[status(thm)],[c_146,c_5]) ).
cnf(c_26783,plain,
difference(quotient(one,A),product(quotient(one,product(A,A)),B)) = quotient(product(difference(A,one),product(B,quotient(one,A))),quotient(one,A)),
inference(paramod,[status(thm)],[c_146,c_7]) ).
cnf(c_153,plain,
quotient(product(difference(A,one),product(B,quotient(one,A))),quotient(one,A)) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(copy,[status(thm)],[c_26783]) ).
cnf(c_26784,plain,
product(A,difference(difference(A,one),one)) = quotient(one,product(difference(A,one),difference(A,one))),
inference(paramod,[status(thm)],[c_21,c_146]) ).
cnf(c_154,plain,
quotient(one,product(difference(A,one),difference(A,one))) = product(A,difference(difference(A,one),one)),
inference(copy,[status(thm)],[c_26784]) ).
cnf(c_26785,plain,
product(quotient(one,quotient(one,A)),A) = quotient(one,product(quotient(one,A),quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_146]) ).
cnf(c_155,plain,
quotient(one,product(quotient(one,A),quotient(one,A))) = product(quotient(one,quotient(one,A)),A),
inference(copy,[status(thm)],[c_26785]) ).
cnf(c_161,plain,
product(difference(A,one),quotient(difference(A,one),quotient(one,product(A,A)))) = quotient(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_146,c_100]) ).
cnf(c_26786,plain,
difference(difference(A,one),quotient(one,A)) = product(difference(quotient(one,product(A,A)),quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_151,c_66]) ).
cnf(c_162,plain,
product(difference(quotient(one,product(A,A)),quotient(one,A)),quotient(one,A)) = difference(difference(A,one),quotient(one,A)),
inference(copy,[status(thm)],[c_26786]) ).
cnf(c_165,plain,
product(quotient(one,A),quotient(one,A)) = difference(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_1,c_85]) ).
cnf(c_183,plain,
quotient(one,difference(A,quotient(one,A))) = product(quotient(one,quotient(one,A)),A),
inference(paramod,[status(thm)],[c_165,c_155]) ).
cnf(c_26787,plain,
product(difference(A,quotient(one,A)),quotient(one,A)) = quotient(product(quotient(one,A),quotient(one,A)),A),
inference(paramod,[status(thm)],[c_165,c_129]) ).
cnf(c_185,plain,
product(difference(A,quotient(one,A)),quotient(one,A)) = quotient(difference(A,quotient(one,A)),A),
inference(paramod,[status(thm)],[c_165,c_26787]) ).
cnf(c_186,plain,
difference(quotient(one,A),difference(A,quotient(one,A))) = quotient(one,A),
inference(paramod,[status(thm)],[c_165,c_4]) ).
cnf(c_26788,plain,
difference(quotient(one,A),product(difference(A,quotient(one,A)),B)) = quotient(product(quotient(one,A),product(B,quotient(one,A))),quotient(one,A)),
inference(paramod,[status(thm)],[c_165,c_7]) ).
cnf(c_187,plain,
quotient(product(quotient(one,A),product(B,quotient(one,A))),quotient(one,A)) = difference(quotient(one,A),product(difference(A,quotient(one,A)),B)),
inference(copy,[status(thm)],[c_26788]) ).
cnf(c_26789,plain,
difference(difference(A,quotient(one,A)),product(quotient(one,A),B)) = quotient(difference(quotient(one,A),product(B,quotient(one,A))),quotient(one,A)),
inference(paramod,[status(thm)],[c_165,c_29]) ).
cnf(c_188,plain,
quotient(difference(quotient(one,A),product(B,quotient(one,A))),quotient(one,A)) = difference(difference(A,quotient(one,A)),product(quotient(one,A),B)),
inference(copy,[status(thm)],[c_26789]) ).
cnf(c_26790,plain,
difference(A,quotient(B,A)) = quotient(product(difference(A,one),B),A),
inference(paramod,[status(thm)],[c_2,c_89]) ).
cnf(c_202,plain,
quotient(product(difference(A,one),B),A) = difference(A,quotient(B,A)),
inference(copy,[status(thm)],[c_26790]) ).
cnf(c_203,plain,
product(A,quotient(product(difference(A,B),C),A)) = product(B,quotient(C,A)),
inference(paramod,[status(thm)],[c_89,c_3]) ).
cnf(c_26791,plain,
quotient(product(difference(product(A,B),A),C),product(A,B)) = quotient(difference(B,product(quotient(C,product(A,B)),A)),A),
inference(paramod,[status(thm)],[c_89,c_29]) ).
cnf(c_26792,plain,
quotient(product(quotient(difference(B,A),A),C),product(A,B)) = quotient(difference(B,product(quotient(C,product(A,B)),A)),A),
inference(paramod,[status(thm)],[c_47,c_26791]) ).
cnf(c_207,plain,
quotient(difference(A,product(quotient(B,product(C,A)),C)),C) = quotient(product(quotient(difference(A,C),C),B),product(C,A)),
inference(copy,[status(thm)],[c_26792]) ).
cnf(c_26793,plain,
quotient(difference(A,one),A) = difference(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_1,c_202]) ).
cnf(c_220,plain,
difference(A,quotient(one,A)) = quotient(difference(A,one),A),
inference(copy,[status(thm)],[c_26793]) ).
cnf(c_222,plain,
product(difference(A,quotient(B,A)),A) = product(difference(A,one),B),
inference(paramod,[status(thm)],[c_202,c_6]) ).
cnf(c_223,plain,
difference(difference(A,quotient(B,A)),product(difference(A,one),B)) = A,
inference(paramod,[status(thm)],[c_202,c_22]) ).
cnf(c_26794,plain,
quotient(product(A,B),quotient(one,A)) = difference(quotient(one,A),quotient(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_202]) ).
cnf(c_224,plain,
difference(quotient(one,A),quotient(B,quotient(one,A))) = quotient(product(A,B),quotient(one,A)),
inference(copy,[status(thm)],[c_26794]) ).
cnf(c_26795,plain,
quotient(product(product(difference(A,one),B),C),A) = difference(A,quotient(quotient(product(B,product(C,difference(A,one))),difference(A,one)),A)),
inference(paramod,[status(thm)],[c_23,c_202]) ).
cnf(c_225,plain,
difference(A,quotient(quotient(product(B,product(C,difference(A,one))),difference(A,one)),A)) = quotient(product(product(difference(A,one),B),C),A),
inference(copy,[status(thm)],[c_26795]) ).
cnf(c_26796,plain,
difference(product(difference(A,one),B),difference(A,quotient(B,A))) = quotient(product(difference(A,one),B),product(A,product(difference(A,one),B))),
inference(paramod,[status(thm)],[c_202,c_80]) ).
cnf(c_226,plain,
quotient(product(difference(A,one),B),product(A,product(difference(A,one),B))) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(copy,[status(thm)],[c_26796]) ).
cnf(c_26797,plain,
quotient(product(A,product(B,difference(A,quotient(C,A)))),quotient(product(difference(A,one),C),A)) = difference(quotient(product(difference(A,one),C),A),product(product(difference(A,one),C),B)),
inference(paramod,[status(thm)],[c_202,c_26]) ).
cnf(c_26798,plain,
quotient(product(A,product(B,difference(A,quotient(C,A)))),difference(A,quotient(C,A))) = difference(quotient(product(difference(A,one),C),A),product(product(difference(A,one),C),B)),
inference(paramod,[status(thm)],[c_202,c_26797]) ).
cnf(c_230,plain,
quotient(product(A,product(B,difference(A,quotient(C,A)))),difference(A,quotient(C,A))) = difference(difference(A,quotient(C,A)),product(product(difference(A,one),C),B)),
inference(paramod,[status(thm)],[c_202,c_26798]) ).
cnf(c_235,plain,
quotient(difference(quotient(one,A),product(B,quotient(one,A))),quotient(one,A)) = difference(quotient(difference(A,one),A),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_220,c_188]) ).
cnf(c_236,plain,
quotient(product(quotient(one,A),product(B,quotient(one,A))),quotient(one,A)) = difference(quotient(one,A),product(quotient(difference(A,one),A),B)),
inference(paramod,[status(thm)],[c_220,c_187]) ).
cnf(c_237,plain,
difference(quotient(one,A),quotient(difference(A,one),A)) = quotient(one,A),
inference(paramod,[status(thm)],[c_220,c_186]) ).
cnf(c_26799,plain,
product(quotient(difference(A,one),A),quotient(one,A)) = quotient(difference(A,quotient(one,A)),A),
inference(paramod,[status(thm)],[c_220,c_185]) ).
cnf(c_238,plain,
product(quotient(difference(A,one),A),quotient(one,A)) = quotient(quotient(difference(A,one),A),A),
inference(paramod,[status(thm)],[c_220,c_26799]) ).
cnf(c_240,plain,
quotient(one,quotient(difference(A,one),A)) = product(quotient(one,quotient(one,A)),A),
inference(paramod,[status(thm)],[c_220,c_183]) ).
cnf(c_241,plain,
product(quotient(one,A),quotient(one,A)) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_220,c_165]) ).
cnf(c_243,plain,
product(A,quotient(difference(A,one),A)) = quotient(one,A),
inference(paramod,[status(thm)],[c_220,c_3]) ).
cnf(c_244,plain,
quotient(quotient(one,A),quotient(difference(A,one),A)) = A,
inference(paramod,[status(thm)],[c_220,c_21]) ).
cnf(c_26800,plain,
difference(difference(A,one),A) = quotient(difference(difference(A,one),one),difference(A,one)),
inference(paramod,[status(thm)],[c_21,c_220]) ).
cnf(c_26801,plain,
product(difference(one,A),A) = quotient(difference(difference(A,one),one),difference(A,one)),
inference(paramod,[status(thm)],[c_66,c_26800]) ).
cnf(c_26802,plain,
product(A,A) = quotient(difference(difference(A,one),one),difference(A,one)),
inference(paramod,[status(thm)],[c_17,c_26801]) ).
cnf(c_245,plain,
quotient(difference(difference(A,one),one),difference(A,one)) = product(A,A),
inference(copy,[status(thm)],[c_26802]) ).
cnf(c_247,plain,
difference(quotient(difference(A,one),A),A) = product(difference(quotient(one,A),A),A),
inference(paramod,[status(thm)],[c_220,c_66]) ).
cnf(c_26803,plain,
product(quotient(one,A),quotient(A,quotient(one,A))) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_243]) ).
cnf(c_26804,plain,
product(quotient(one,A),product(A,quotient(A,one))) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_113,c_26803]) ).
cnf(c_255,plain,
product(quotient(one,A),product(A,A)) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_19,c_26804]) ).
cnf(c_26805,plain,
difference(product(A,B),quotient(one,A)) = quotient(difference(B,product(quotient(difference(A,one),A),A)),A),
inference(paramod,[status(thm)],[c_243,c_29]) ).
cnf(c_258,plain,
difference(product(A,B),quotient(one,A)) = quotient(difference(B,difference(A,one)),A),
inference(paramod,[status(thm)],[c_6,c_26805]) ).
cnf(c_26806,plain,
quotient(product(A,quotient(one,A)),quotient(difference(A,one),A)) = difference(quotient(difference(A,one),A),product(difference(A,one),A)),
inference(paramod,[status(thm)],[c_243,c_26]) ).
cnf(c_26807,plain,
quotient(product(A,quotient(one,A)),quotient(difference(A,one),A)) = difference(quotient(difference(A,one),A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_12,c_26806]) ).
cnf(c_262,plain,
difference(quotient(difference(A,one),A),product(A,quotient(one,A))) = quotient(product(A,quotient(one,A)),quotient(difference(A,one),A)),
inference(copy,[status(thm)],[c_26807]) ).
cnf(c_26808,plain,
difference(quotient(one,quotient(one,A)),quotient(one,A)) = quotient(difference(product(A,A),quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_255,c_47]) ).
cnf(c_26809,plain,
difference(quotient(one,quotient(one,A)),quotient(one,A)) = quotient(quotient(difference(A,difference(A,one)),A),quotient(one,A)),
inference(paramod,[status(thm)],[c_258,c_26808]) ).
cnf(c_270,plain,
quotient(quotient(difference(A,difference(A,one)),A),quotient(one,A)) = difference(quotient(one,quotient(one,A)),quotient(one,A)),
inference(copy,[status(thm)],[c_26809]) ).
cnf(c_26810,plain,
quotient(quotient(product(A,one),difference(B,one)),B) = product(B,product(difference(B,one),A)),
inference(paramod,[status(thm)],[c_28,c_17]) ).
cnf(c_279,plain,
quotient(quotient(A,difference(B,one)),B) = product(B,product(difference(B,one),A)),
inference(paramod,[status(thm)],[c_1,c_26810]) ).
cnf(c_26811,plain,
difference(quotient(one,product(A,A)),product(quotient(one,A),product(difference(A,one),B))) = quotient(quotient(product(B,quotient(one,product(A,A))),difference(quotient(one,A),quotient(one,product(A,A)))),quotient(one,A)),
inference(paramod,[status(thm)],[c_151,c_28]) ).
cnf(c_292,plain,
difference(quotient(one,product(A,A)),product(quotient(one,A),product(difference(A,one),B))) = quotient(quotient(product(B,quotient(one,product(A,A))),difference(A,one)),quotient(one,A)),
inference(paramod,[status(thm)],[c_151,c_26811]) ).
cnf(c_26812,plain,
difference(quotient(one,A),product(A,product(quotient(difference(A,one),A),B))) = quotient(quotient(product(B,quotient(one,A)),difference(A,quotient(one,A))),A),
inference(paramod,[status(thm)],[c_220,c_28]) ).
cnf(c_294,plain,
difference(quotient(one,A),product(A,product(quotient(difference(A,one),A),B))) = quotient(quotient(product(B,quotient(one,A)),quotient(difference(A,one),A)),A),
inference(paramod,[status(thm)],[c_220,c_26812]) ).
cnf(c_26813,plain,
difference(A,product(A,product(difference(A,one),product(B,product(C,difference(A,one)))))) = quotient(product(product(difference(A,one),B),C),A),
inference(paramod,[status(thm)],[c_279,c_225]) ).
cnf(c_297,plain,
product(difference(A,one),product(B,product(C,difference(A,one)))) = quotient(product(product(difference(A,one),B),C),A),
inference(paramod,[status(thm)],[c_4,c_26813]) ).
cnf(c_26814,plain,
product(difference(A,B),A) = product(difference(A,one),product(B,A)),
inference(paramod,[status(thm)],[c_5,c_222]) ).
cnf(c_298,plain,
product(difference(A,one),product(B,A)) = product(difference(A,B),A),
inference(copy,[status(thm)],[c_26814]) ).
cnf(c_26815,plain,
product(difference(A,difference(A,one)),A) = product(difference(A,one),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_33,c_222]) ).
cnf(c_300,plain,
product(difference(A,one),product(A,quotient(one,A))) = product(difference(A,difference(A,one)),A),
inference(copy,[status(thm)],[c_26815]) ).
cnf(c_26816,plain,
difference(product(A,B),product(A,difference(A,quotient(C,A)))) = quotient(difference(B,product(difference(A,one),C)),A),
inference(paramod,[status(thm)],[c_222,c_29]) ).
cnf(c_26817,plain,
difference(product(A,B),quotient(C,A)) = quotient(difference(B,product(difference(A,one),C)),A),
inference(paramod,[status(thm)],[c_3,c_26816]) ).
cnf(c_305,plain,
quotient(difference(A,product(difference(B,one),C)),B) = difference(product(B,A),quotient(C,B)),
inference(copy,[status(thm)],[c_26817]) ).
cnf(c_26818,plain,
difference(quotient(A,B),product(B,product(difference(B,one),A))) = quotient(quotient(product(B,quotient(A,B)),difference(B,quotient(A,B))),B),
inference(paramod,[status(thm)],[c_222,c_28]) ).
cnf(c_317,plain,
quotient(quotient(product(A,quotient(B,A)),difference(A,quotient(B,A))),A) = difference(quotient(B,A),product(A,product(difference(A,one),B))),
inference(copy,[status(thm)],[c_26818]) ).
cnf(c_318,plain,
difference(difference(A,one),product(difference(A,B),A)) = product(B,A),
inference(paramod,[status(thm)],[c_298,c_4]) ).
cnf(c_319,plain,
quotient(product(difference(A,B),A),product(B,A)) = difference(A,one),
inference(paramod,[status(thm)],[c_298,c_5]) ).
cnf(c_26819,plain,
product(A,product(B,quotient(one,A))) = product(difference(quotient(one,A),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_298]) ).
cnf(c_321,plain,
product(difference(quotient(one,A),B),quotient(one,A)) = product(A,product(B,quotient(one,A))),
inference(copy,[status(thm)],[c_26819]) ).
cnf(c_26820,plain,
product(difference(quotient(one,A),one),product(quotient(one,product(A,A)),quotient(one,A))) = product(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_151,c_298]) ).
cnf(c_331,plain,
product(A,product(quotient(one,product(A,A)),quotient(one,A))) = product(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_26820]) ).
cnf(c_26821,plain,
difference(quotient(one,quotient(one,A)),quotient(A,quotient(one,A))) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_237]) ).
cnf(c_26822,plain,
difference(quotient(one,quotient(one,A)),product(A,quotient(A,one))) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_113,c_26821]) ).
cnf(c_338,plain,
difference(quotient(one,quotient(one,A)),product(A,A)) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_19,c_26822]) ).
cnf(c_26823,plain,
difference(quotient(difference(A,one),A),product(quotient(one,A),product(quotient(one,A),B))) = quotient(quotient(product(B,quotient(difference(A,one),A)),difference(quotient(one,A),quotient(difference(A,one),A))),quotient(one,A)),
inference(paramod,[status(thm)],[c_237,c_28]) ).
cnf(c_342,plain,
difference(quotient(difference(A,one),A),product(quotient(one,A),product(quotient(one,A),B))) = quotient(quotient(product(B,quotient(difference(A,one),A)),quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_237,c_26823]) ).
cnf(c_344,plain,
quotient(product(A,B),product(product(B,A),B)) = difference(B,one),
inference(paramod,[status(thm)],[c_4,c_319]) ).
cnf(c_371,plain,
product(difference(A,one),difference(A,one)) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_19,c_112]) ).
cnf(c_26824,plain,
quotient(one,quotient(difference(A,one),A)) = product(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_371,c_154]) ).
cnf(c_388,plain,
product(quotient(one,quotient(one,A)),A) = product(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_240,c_26824]) ).
cnf(c_389,plain,
difference(product(A,difference(difference(A,one),one)),one) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_371,c_147]) ).
cnf(c_390,plain,
quotient(one,quotient(difference(A,one),A)) = product(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_388,c_240]) ).
cnf(c_26825,plain,
quotient(quotient(product(A,one),B),quotient(one,B)) = product(quotient(one,B),product(B,A)),
inference(paramod,[status(thm)],[c_30,c_17]) ).
cnf(c_394,plain,
quotient(quotient(A,B),quotient(one,B)) = product(quotient(one,B),product(B,A)),
inference(paramod,[status(thm)],[c_1,c_26825]) ).
cnf(c_26826,plain,
product(quotient(one,A),product(A,difference(A,difference(A,one)))) = difference(quotient(one,quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_394,c_270]) ).
cnf(c_26827,plain,
product(quotient(one,A),difference(A,one)) = difference(quotient(one,quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_3,c_26826]) ).
cnf(c_26828,plain,
quotient(one,product(A,A)) = difference(quotient(one,quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_146,c_26827]) ).
cnf(c_423,plain,
difference(quotient(one,quotient(one,A)),quotient(one,A)) = quotient(one,product(A,A)),
inference(copy,[status(thm)],[c_26828]) ).
cnf(c_26829,plain,
difference(difference(A,one),product(quotient(difference(A,one),A),B)) = quotient(product(difference(A,one),product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_371,c_7]) ).
cnf(c_425,plain,
quotient(product(difference(A,one),product(B,difference(A,one))),difference(A,one)) = difference(difference(A,one),product(quotient(difference(A,one),A),B)),
inference(copy,[status(thm)],[c_26829]) ).
cnf(c_26830,plain,
difference(quotient(difference(A,one),A),product(difference(A,one),B)) = quotient(difference(difference(A,one),product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_371,c_29]) ).
cnf(c_427,plain,
quotient(difference(difference(A,one),product(B,difference(A,one))),difference(A,one)) = difference(quotient(difference(A,one),A),product(difference(A,one),B)),
inference(copy,[status(thm)],[c_26830]) ).
cnf(c_26831,plain,
quotient(quotient(one,product(quotient(one,A),quotient(one,A))),A) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_152]) ).
cnf(c_26832,plain,
quotient(quotient(one,quotient(difference(A,one),A)),A) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_241,c_26831]) ).
cnf(c_434,plain,
quotient(product(A,difference(difference(A,one),one)),A) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_390,c_26832]) ).
cnf(c_26833,plain,
difference(difference(quotient(difference(A,one),A),A),product(difference(quotient(difference(A,one),A),one),quotient(one,A))) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_244,c_223]) ).
cnf(c_446,plain,
difference(product(difference(quotient(one,A),A),A),product(difference(quotient(difference(A,one),A),one),quotient(one,A))) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_247,c_26833]) ).
cnf(c_447,plain,
product(product(A,A),difference(A,one)) = difference(difference(A,one),one),
inference(paramod,[status(thm)],[c_245,c_6]) ).
cnf(c_26834,plain,
quotient(difference(A,one),product(A,A)) = product(difference(A,one),quotient(difference(A,one),difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_245,c_113]) ).
cnf(c_450,plain,
product(difference(A,one),quotient(difference(A,one),difference(difference(A,one),one))) = quotient(difference(A,one),product(A,A)),
inference(copy,[status(thm)],[c_26834]) ).
cnf(c_26835,plain,
product(quotient(difference(difference(A,one),one),product(difference(A,one),difference(difference(A,one),one))),product(A,A)) = difference(difference(A,one),quotient(difference(difference(A,one),one),difference(A,one))),
inference(paramod,[status(thm)],[c_245,c_85]) ).
cnf(c_26836,plain,
product(quotient(difference(difference(A,one),one),one),product(A,A)) = difference(difference(A,one),quotient(difference(difference(A,one),one),difference(A,one))),
inference(paramod,[status(thm)],[c_3,c_26835]) ).
cnf(c_26837,plain,
product(difference(difference(A,one),one),product(A,A)) = difference(difference(A,one),quotient(difference(difference(A,one),one),difference(A,one))),
inference(paramod,[status(thm)],[c_19,c_26836]) ).
cnf(c_451,plain,
product(difference(difference(A,one),one),product(A,A)) = difference(difference(A,one),product(A,A)),
inference(paramod,[status(thm)],[c_245,c_26837]) ).
cnf(c_26838,plain,
quotient(product(difference(A,one),product(B,product(A,A))),quotient(difference(difference(A,one),one),difference(A,one))) = difference(quotient(difference(difference(A,one),one),difference(A,one)),product(difference(difference(A,one),one),B)),
inference(paramod,[status(thm)],[c_245,c_26]) ).
cnf(c_26839,plain,
quotient(product(difference(A,one),product(B,product(A,A))),product(A,A)) = difference(quotient(difference(difference(A,one),one),difference(A,one)),product(difference(difference(A,one),one),B)),
inference(paramod,[status(thm)],[c_245,c_26838]) ).
cnf(c_452,plain,
quotient(product(difference(A,one),product(B,product(A,A))),product(A,A)) = difference(product(A,A),product(difference(difference(A,one),one),B)),
inference(paramod,[status(thm)],[c_245,c_26839]) ).
cnf(c_26840,plain,
quotient(product(difference(difference(A,one),one),difference(difference(A,one),one)),difference(A,one)) = difference(difference(A,one),product(A,A)),
inference(paramod,[status(thm)],[c_245,c_202]) ).
cnf(c_26841,plain,
quotient(quotient(difference(difference(A,one),one),difference(A,one)),difference(A,one)) = difference(difference(A,one),product(A,A)),
inference(paramod,[status(thm)],[c_371,c_26840]) ).
cnf(c_26842,plain,
quotient(product(A,A),difference(A,one)) = difference(difference(A,one),product(A,A)),
inference(paramod,[status(thm)],[c_245,c_26841]) ).
cnf(c_26843,plain,
product(product(A,A),A) = difference(difference(A,one),product(A,A)),
inference(paramod,[status(thm)],[c_122,c_26842]) ).
cnf(c_454,plain,
difference(difference(A,one),product(A,A)) = product(product(A,A),A),
inference(copy,[status(thm)],[c_26843]) ).
cnf(c_26844,plain,
quotient(product(A,A),quotient(difference(difference(A,one),one),product(difference(A,one),difference(difference(A,one),one)))) = difference(difference(A,one),one),
inference(paramod,[status(thm)],[c_245,c_101]) ).
cnf(c_26845,plain,
quotient(product(A,A),quotient(difference(difference(A,one),one),one)) = difference(difference(A,one),one),
inference(paramod,[status(thm)],[c_3,c_26844]) ).
cnf(c_455,plain,
quotient(product(A,A),difference(difference(A,one),one)) = difference(difference(A,one),one),
inference(paramod,[status(thm)],[c_19,c_26845]) ).
cnf(c_459,plain,
product(difference(difference(A,one),one),product(A,A)) = product(product(A,A),A),
inference(paramod,[status(thm)],[c_454,c_451]) ).
cnf(c_26846,plain,
difference(A,difference(difference(A,one),one)) = quotient(product(A,product(difference(A,one),A)),A),
inference(paramod,[status(thm)],[c_447,c_7]) ).
cnf(c_26847,plain,
difference(A,difference(difference(A,one),one)) = quotient(product(A,product(A,quotient(one,A))),A),
inference(paramod,[status(thm)],[c_12,c_26846]) ).
cnf(c_460,plain,
quotient(product(A,product(A,quotient(one,A))),A) = difference(A,difference(difference(A,one),one)),
inference(copy,[status(thm)],[c_26847]) ).
cnf(c_467,plain,
quotient(quotient(difference(A,one),product(A,A)),quotient(difference(A,one),difference(difference(A,one),one))) = difference(A,one),
inference(paramod,[status(thm)],[c_447,c_101]) ).
cnf(c_26848,plain,
difference(quotient(A,quotient(one,A)),quotient(one,A)) = product(difference(quotient(one,quotient(one,A)),quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_247]) ).
cnf(c_26849,plain,
difference(product(A,quotient(A,one)),quotient(one,A)) = product(difference(quotient(one,quotient(one,A)),quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_113,c_26848]) ).
cnf(c_26850,plain,
difference(product(A,A),quotient(one,A)) = product(difference(quotient(one,quotient(one,A)),quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_19,c_26849]) ).
cnf(c_26851,plain,
quotient(difference(A,difference(A,one)),A) = product(difference(quotient(one,quotient(one,A)),quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_258,c_26850]) ).
cnf(c_26852,plain,
quotient(difference(A,difference(A,one)),A) = product(quotient(one,product(A,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_423,c_26851]) ).
cnf(c_487,plain,
product(quotient(one,product(A,A)),quotient(one,A)) = quotient(difference(A,difference(A,one)),A),
inference(copy,[status(thm)],[c_26852]) ).
cnf(c_497,plain,
product(A,quotient(difference(A,difference(A,one)),A)) = product(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_487,c_331]) ).
cnf(c_498,plain,
difference(difference(A,one),product(B,A)) = product(product(A,B),A),
inference(paramod,[status(thm)],[c_4,c_318]) ).
cnf(c_26853,plain,
difference(difference(difference(A,one),one),product(A,difference(A,one))) = product(product(A,quotient(one,A)),difference(A,one)),
inference(paramod,[status(thm)],[c_32,c_318]) ).
cnf(c_26854,plain,
difference(difference(difference(A,one),one),one) = product(product(A,quotient(one,A)),difference(A,one)),
inference(paramod,[status(thm)],[c_3,c_26853]) ).
cnf(c_500,plain,
product(product(A,quotient(one,A)),difference(A,one)) = difference(difference(difference(A,one),one),one),
inference(copy,[status(thm)],[c_26854]) ).
cnf(c_26855,plain,
difference(difference(A,one),product(quotient(product(difference(A,B),C),A),A)) = product(product(B,quotient(C,A)),A),
inference(paramod,[status(thm)],[c_89,c_318]) ).
cnf(c_503,plain,
difference(difference(A,one),product(difference(A,B),C)) = product(product(B,quotient(C,A)),A),
inference(paramod,[status(thm)],[c_6,c_26855]) ).
cnf(c_26856,plain,
difference(difference(A,one),B) = product(product(A,quotient(B,A)),A),
inference(paramod,[status(thm)],[c_6,c_498]) ).
cnf(c_511,plain,
product(product(A,quotient(B,A)),A) = difference(difference(A,one),B),
inference(copy,[status(thm)],[c_26856]) ).
cnf(c_26857,plain,
product(product(A,product(difference(A,one),B)),A) = quotient(product(B,product(A,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_498,c_7]) ).
cnf(c_26858,plain,
product(product(A,product(difference(A,one),B)),A) = quotient(product(B,one),difference(A,one)),
inference(paramod,[status(thm)],[c_3,c_26857]) ).
cnf(c_512,plain,
product(product(A,product(difference(A,one),B)),A) = quotient(B,difference(A,one)),
inference(paramod,[status(thm)],[c_1,c_26858]) ).
cnf(c_26859,plain,
difference(A,product(B,quotient(one,A))) = product(product(quotient(one,A),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_498]) ).
cnf(c_26860,plain,
quotient(product(difference(A,B),one),A) = product(product(quotient(one,A),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_89,c_26859]) ).
cnf(c_26861,plain,
quotient(difference(A,B),A) = product(product(quotient(one,A),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_1,c_26860]) ).
cnf(c_513,plain,
product(product(quotient(one,A),B),quotient(one,A)) = quotient(difference(A,B),A),
inference(copy,[status(thm)],[c_26861]) ).
cnf(c_26862,plain,
quotient(product(difference(difference(A,one),B),product(A,difference(A,one))),difference(A,one)) = product(product(A,B),A),
inference(paramod,[status(thm)],[c_498,c_24]) ).
cnf(c_26863,plain,
quotient(product(difference(difference(A,one),B),one),difference(A,one)) = product(product(A,B),A),
inference(paramod,[status(thm)],[c_3,c_26862]) ).
cnf(c_517,plain,
quotient(difference(difference(A,one),B),difference(A,one)) = product(product(A,B),A),
inference(paramod,[status(thm)],[c_1,c_26863]) ).
cnf(c_26864,plain,
product(product(A,product(B,difference(A,one))),A) = difference(quotient(difference(A,one),A),product(difference(A,one),B)),
inference(paramod,[status(thm)],[c_517,c_427]) ).
cnf(c_534,plain,
difference(quotient(difference(A,one),A),product(difference(A,one),B)) = product(product(A,product(B,difference(A,one))),A),
inference(copy,[status(thm)],[c_26864]) ).
cnf(c_26865,plain,
quotient(product(A,quotient(one,B)),product(product(quotient(one,B),A),quotient(one,B))) = B,
inference(paramod,[status(thm)],[c_22,c_344]) ).
cnf(c_535,plain,
quotient(product(A,quotient(one,B)),quotient(difference(B,A),B)) = B,
inference(paramod,[status(thm)],[c_513,c_26865]) ).
cnf(c_26866,plain,
quotient(product(difference(A,one),product(A,A)),product(difference(difference(A,one),one),product(A,A))) = difference(product(A,A),one),
inference(paramod,[status(thm)],[c_447,c_344]) ).
cnf(c_26867,plain,
quotient(product(difference(A,A),A),product(difference(difference(A,one),one),product(A,A))) = difference(product(A,A),one),
inference(paramod,[status(thm)],[c_298,c_26866]) ).
cnf(c_26868,plain,
quotient(product(one,A),product(difference(difference(A,one),one),product(A,A))) = difference(product(A,A),one),
inference(paramod,[status(thm)],[c_18,c_26867]) ).
cnf(c_26869,plain,
quotient(A,product(difference(difference(A,one),one),product(A,A))) = difference(product(A,A),one),
inference(paramod,[status(thm)],[c_2,c_26868]) ).
cnf(c_26870,plain,
quotient(A,product(product(A,A),A)) = difference(product(A,A),one),
inference(paramod,[status(thm)],[c_459,c_26869]) ).
cnf(c_26871,plain,
difference(A,difference(A,one)) = difference(product(A,A),one),
inference(paramod,[status(thm)],[c_104,c_26870]) ).
cnf(c_546,plain,
difference(product(A,A),one) = difference(A,difference(A,one)),
inference(copy,[status(thm)],[c_26871]) ).
cnf(c_26872,plain,
difference(product(quotient(one,A),quotient(one,A)),one) = difference(quotient(one,A),A),
inference(paramod,[status(thm)],[c_22,c_546]) ).
cnf(c_555,plain,
difference(quotient(difference(A,one),A),one) = difference(quotient(one,A),A),
inference(paramod,[status(thm)],[c_241,c_26872]) ).
cnf(c_26873,plain,
difference(quotient(difference(A,one),A),one) = difference(difference(A,one),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_371,c_546]) ).
cnf(c_26874,plain,
difference(quotient(one,A),A) = difference(difference(A,one),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_555,c_26873]) ).
cnf(c_568,plain,
difference(difference(A,one),difference(difference(A,one),one)) = difference(quotient(one,A),A),
inference(copy,[status(thm)],[c_26874]) ).
cnf(c_26875,plain,
difference(product(difference(quotient(one,A),A),A),product(difference(quotient(one,A),A),quotient(one,A))) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_555,c_446]) ).
cnf(c_577,plain,
difference(product(difference(quotient(one,A),A),A),product(A,product(A,quotient(one,A)))) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_321,c_26875]) ).
cnf(c_26876,plain,
difference(difference(A,one),product(product(A,quotient(one,A)),A)) = quotient(product(A,one),difference(A,one)),
inference(paramod,[status(thm)],[c_3,c_34]) ).
cnf(c_26877,plain,
difference(difference(A,one),difference(difference(A,one),one)) = quotient(product(A,one),difference(A,one)),
inference(paramod,[status(thm)],[c_511,c_26876]) ).
cnf(c_26878,plain,
difference(quotient(one,A),A) = quotient(product(A,one),difference(A,one)),
inference(paramod,[status(thm)],[c_568,c_26877]) ).
cnf(c_579,plain,
difference(quotient(one,A),A) = quotient(A,difference(A,one)),
inference(paramod,[status(thm)],[c_1,c_26878]) ).
cnf(c_596,plain,
difference(product(quotient(A,difference(A,one)),A),product(A,product(A,quotient(one,A)))) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_579,c_577]) ).
cnf(c_599,plain,
difference(quotient(difference(A,one),A),one) = quotient(A,difference(A,one)),
inference(paramod,[status(thm)],[c_579,c_555]) ).
cnf(c_26879,plain,
quotient(quotient(one,A),difference(quotient(one,A),one)) = quotient(one,product(A,A)),
inference(paramod,[status(thm)],[c_579,c_423]) ).
cnf(c_608,plain,
quotient(quotient(one,A),A) = quotient(one,product(A,A)),
inference(paramod,[status(thm)],[c_22,c_26879]) ).
cnf(c_612,plain,
difference(quotient(difference(A,one),A),A) = product(quotient(A,difference(A,one)),A),
inference(paramod,[status(thm)],[c_579,c_247]) ).
cnf(c_615,plain,
product(quotient(one,A),quotient(A,difference(A,one))) = A,
inference(paramod,[status(thm)],[c_579,c_3]) ).
cnf(c_26880,plain,
difference(A,difference(A,one)) = quotient(difference(A,one),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_21,c_579]) ).
cnf(c_617,plain,
quotient(difference(A,one),difference(difference(A,one),one)) = difference(A,difference(A,one)),
inference(copy,[status(thm)],[c_26880]) ).
cnf(c_26881,plain,
difference(quotient(A,difference(A,one)),quotient(one,A)) = product(difference(A,quotient(one,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_579,c_66]) ).
cnf(c_26882,plain,
difference(quotient(A,difference(A,one)),quotient(one,A)) = product(quotient(difference(A,one),A),quotient(one,A)),
inference(paramod,[status(thm)],[c_220,c_26881]) ).
cnf(c_618,plain,
difference(quotient(A,difference(A,one)),quotient(one,A)) = quotient(quotient(difference(A,one),A),A),
inference(paramod,[status(thm)],[c_238,c_26882]) ).
cnf(c_26883,plain,
product(difference(quotient(one,A),one),product(A,quotient(one,A))) = product(quotient(A,difference(A,one)),quotient(one,A)),
inference(paramod,[status(thm)],[c_579,c_298]) ).
cnf(c_26884,plain,
product(A,product(A,quotient(one,A))) = product(quotient(A,difference(A,one)),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_26883]) ).
cnf(c_622,plain,
product(quotient(A,difference(A,one)),quotient(one,A)) = product(A,product(A,quotient(one,A))),
inference(copy,[status(thm)],[c_26884]) ).
cnf(c_624,plain,
quotient(quotient(difference(A,one),product(A,A)),difference(A,difference(A,one))) = difference(A,one),
inference(paramod,[status(thm)],[c_617,c_467]) ).
cnf(c_626,plain,
product(difference(A,one),difference(A,difference(A,one))) = quotient(difference(A,one),product(A,A)),
inference(paramod,[status(thm)],[c_617,c_450]) ).
cnf(c_627,plain,
product(quotient(one,product(A,A)),A) = quotient(one,A),
inference(paramod,[status(thm)],[c_608,c_6]) ).
cnf(c_26885,plain,
quotient(A,difference(A,one)) = quotient(one,product(difference(A,one),difference(A,one))),
inference(paramod,[status(thm)],[c_21,c_608]) ).
cnf(c_26886,plain,
quotient(A,difference(A,one)) = quotient(one,quotient(difference(A,one),A)),
inference(paramod,[status(thm)],[c_371,c_26885]) ).
cnf(c_26887,plain,
quotient(A,difference(A,one)) = product(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_390,c_26886]) ).
cnf(c_628,plain,
product(A,difference(difference(A,one),one)) = quotient(A,difference(A,one)),
inference(copy,[status(thm)],[c_26887]) ).
cnf(c_629,plain,
difference(quotient(one,product(A,A)),quotient(one,A)) = A,
inference(paramod,[status(thm)],[c_608,c_22]) ).
cnf(c_26888,plain,
difference(quotient(one,A),quotient(one,product(A,A))) = quotient(quotient(one,A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_608,c_80]) ).
cnf(c_26889,plain,
difference(A,one) = quotient(quotient(one,A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_151,c_26888]) ).
cnf(c_630,plain,
quotient(quotient(one,A),product(A,quotient(one,A))) = difference(A,one),
inference(copy,[status(thm)],[c_26889]) ).
cnf(c_26890,plain,
quotient(A,quotient(one,product(A,A))) = product(A,quotient(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_608,c_113]) ).
cnf(c_26891,plain,
quotient(A,quotient(one,product(A,A))) = product(A,product(A,quotient(A,one))),
inference(paramod,[status(thm)],[c_113,c_26890]) ).
cnf(c_631,plain,
quotient(A,quotient(one,product(A,A))) = product(A,product(A,A)),
inference(paramod,[status(thm)],[c_19,c_26891]) ).
cnf(c_26892,plain,
quotient(quotient(one,A),quotient(A,quotient(one,A))) = product(quotient(one,A),quotient(one,product(A,A))),
inference(paramod,[status(thm)],[c_608,c_113]) ).
cnf(c_26893,plain,
quotient(quotient(one,A),product(A,quotient(A,one))) = product(quotient(one,A),quotient(one,product(A,A))),
inference(paramod,[status(thm)],[c_113,c_26892]) ).
cnf(c_26894,plain,
quotient(quotient(one,A),product(A,A)) = product(quotient(one,A),quotient(one,product(A,A))),
inference(paramod,[status(thm)],[c_19,c_26893]) ).
cnf(c_632,plain,
product(quotient(one,A),quotient(one,product(A,A))) = quotient(quotient(one,A),product(A,A)),
inference(copy,[status(thm)],[c_26894]) ).
cnf(c_26895,plain,
product(quotient(quotient(one,A),product(A,quotient(one,A))),quotient(one,product(A,A))) = difference(A,quotient(quotient(one,A),A)),
inference(paramod,[status(thm)],[c_608,c_85]) ).
cnf(c_26896,plain,
product(difference(A,one),quotient(one,product(A,A))) = difference(A,quotient(quotient(one,A),A)),
inference(paramod,[status(thm)],[c_630,c_26895]) ).
cnf(c_633,plain,
product(difference(A,one),quotient(one,product(A,A))) = difference(A,quotient(one,product(A,A))),
inference(paramod,[status(thm)],[c_608,c_26896]) ).
cnf(c_638,plain,
difference(difference(A,quotient(one,product(A,A))),product(difference(A,one),quotient(one,A))) = A,
inference(paramod,[status(thm)],[c_608,c_223]) ).
cnf(c_26897,plain,
quotient(quotient(A,difference(A,one)),A) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_628,c_434]) ).
cnf(c_26898,plain,
product(A,product(difference(A,one),A)) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_279,c_26897]) ).
cnf(c_640,plain,
product(A,product(A,quotient(one,A))) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_12,c_26898]) ).
cnf(c_641,plain,
quotient(one,quotient(difference(A,one),A)) = quotient(A,difference(A,one)),
inference(paramod,[status(thm)],[c_628,c_390]) ).
cnf(c_642,plain,
difference(quotient(A,difference(A,one)),one) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_628,c_389]) ).
cnf(c_643,plain,
product(quotient(one,quotient(one,A)),A) = quotient(A,difference(A,one)),
inference(paramod,[status(thm)],[c_628,c_388]) ).
cnf(c_26899,plain,
product(A,quotient(one,A)) = difference(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_629,c_162]) ).
cnf(c_644,plain,
difference(difference(A,one),quotient(one,A)) = product(A,quotient(one,A)),
inference(copy,[status(thm)],[c_26899]) ).
cnf(c_646,plain,
product(quotient(A,difference(A,one)),quotient(one,A)) = quotient(one,quotient(one,A)),
inference(paramod,[status(thm)],[c_640,c_622]) ).
cnf(c_647,plain,
difference(product(quotient(A,difference(A,one)),A),quotient(one,quotient(one,A))) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_640,c_596]) ).
cnf(c_26900,plain,
quotient(quotient(one,quotient(one,A)),A) = difference(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_640,c_460]) ).
cnf(c_649,plain,
difference(A,difference(difference(A,one),one)) = quotient(quotient(one,quotient(one,A)),A),
inference(copy,[status(thm)],[c_26900]) ).
cnf(c_26901,plain,
product(difference(A,one),product(A,quotient(one,A))) = quotient(one,A),
inference(paramod,[status(thm)],[c_644,c_3]) ).
cnf(c_656,plain,
product(difference(A,difference(A,one)),A) = quotient(one,A),
inference(paramod,[status(thm)],[c_300,c_26901]) ).
cnf(c_26902,plain,
difference(A,quotient(one,quotient(one,A))) = product(quotient(one,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_644]) ).
cnf(c_658,plain,
difference(A,quotient(one,quotient(one,A))) = product(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_36,c_26902]) ).
cnf(c_26903,plain,
quotient(quotient(one,A),product(product(A,quotient(one,A)),quotient(one,A))) = difference(quotient(one,A),difference(A,one)),
inference(paramod,[status(thm)],[c_644,c_72]) ).
cnf(c_26904,plain,
quotient(quotient(one,A),product(A,quotient(product(quotient(one,A),one),A))) = difference(quotient(one,A),difference(A,one)),
inference(paramod,[status(thm)],[c_39,c_26903]) ).
cnf(c_26905,plain,
quotient(quotient(one,A),product(A,quotient(quotient(one,A),A))) = difference(quotient(one,A),difference(A,one)),
inference(paramod,[status(thm)],[c_1,c_26904]) ).
cnf(c_660,plain,
quotient(quotient(one,A),product(A,quotient(one,product(A,A)))) = difference(quotient(one,A),difference(A,one)),
inference(paramod,[status(thm)],[c_608,c_26905]) ).
cnf(c_667,plain,
product(difference(A,one),product(A,quotient(one,A))) = quotient(one,A),
inference(paramod,[status(thm)],[c_656,c_300]) ).
cnf(c_26906,plain,
difference(product(quotient(A,difference(A,one)),B),product(quotient(A,difference(A,one)),quotient(one,A))) = quotient(difference(B,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_615,c_29]) ).
cnf(c_672,plain,
difference(product(quotient(A,difference(A,one)),B),quotient(one,quotient(one,A))) = quotient(difference(B,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_646,c_26906]) ).
cnf(c_26907,plain,
quotient(product(quotient(A,difference(A,one)),quotient(one,A)),product(A,quotient(one,A))) = difference(quotient(one,A),one),
inference(paramod,[status(thm)],[c_615,c_344]) ).
cnf(c_26908,plain,
quotient(quotient(one,quotient(one,A)),product(A,quotient(one,A))) = difference(quotient(one,A),one),
inference(paramod,[status(thm)],[c_646,c_26907]) ).
cnf(c_679,plain,
quotient(quotient(one,quotient(one,A)),product(A,quotient(one,A))) = A,
inference(paramod,[status(thm)],[c_22,c_26908]) ).
cnf(c_26909,plain,
quotient(difference(A,A),quotient(A,difference(A,one))) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_672,c_647]) ).
cnf(c_681,plain,
quotient(one,quotient(A,difference(A,one))) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_18,c_26909]) ).
cnf(c_26910,plain,
quotient(quotient(product(A,quotient(one,A)),A),quotient(one,product(A,A))) = difference(product(quotient(one,product(A,A)),A),one),
inference(paramod,[status(thm)],[c_627,c_31]) ).
cnf(c_26911,plain,
quotient(difference(A,one),quotient(one,product(A,A))) = difference(product(quotient(one,product(A,A)),A),one),
inference(paramod,[status(thm)],[c_33,c_26910]) ).
cnf(c_26912,plain,
quotient(difference(A,one),quotient(one,product(A,A))) = difference(quotient(one,A),one),
inference(paramod,[status(thm)],[c_627,c_26911]) ).
cnf(c_690,plain,
quotient(difference(A,one),quotient(one,product(A,A))) = A,
inference(paramod,[status(thm)],[c_22,c_26912]) ).
cnf(c_26913,plain,
product(difference(A,one),A) = quotient(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_690,c_161]) ).
cnf(c_26914,plain,
product(A,quotient(one,A)) = quotient(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_12,c_26913]) ).
cnf(c_698,plain,
quotient(difference(A,one),quotient(one,A)) = product(A,quotient(one,A)),
inference(copy,[status(thm)],[c_26914]) ).
cnf(c_26915,plain,
product(product(A,quotient(one,A)),quotient(one,A)) = difference(A,one),
inference(paramod,[status(thm)],[c_698,c_6]) ).
cnf(c_26916,plain,
product(A,quotient(product(quotient(one,A),one),A)) = difference(A,one),
inference(paramod,[status(thm)],[c_39,c_26915]) ).
cnf(c_26917,plain,
product(A,quotient(quotient(one,A),A)) = difference(A,one),
inference(paramod,[status(thm)],[c_1,c_26916]) ).
cnf(c_700,plain,
product(A,quotient(one,product(A,A))) = difference(A,one),
inference(paramod,[status(thm)],[c_608,c_26917]) ).
cnf(c_26918,plain,
quotient(difference(difference(A,one),one),A) = product(difference(A,one),quotient(one,difference(A,one))),
inference(paramod,[status(thm)],[c_21,c_698]) ).
cnf(c_26919,plain,
quotient(difference(difference(A,one),one),A) = product(difference(A,one),A),
inference(paramod,[status(thm)],[c_21,c_26918]) ).
cnf(c_701,plain,
quotient(difference(difference(A,one),one),A) = product(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_12,c_26919]) ).
cnf(c_26920,plain,
quotient(A,quotient(one,quotient(one,A))) = product(quotient(one,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_698]) ).
cnf(c_703,plain,
quotient(A,quotient(one,quotient(one,A))) = product(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_36,c_26920]) ).
cnf(c_26921,plain,
quotient(quotient(one,A),product(A,quotient(one,A))) = product(quotient(one,A),quotient(quotient(one,A),difference(A,one))),
inference(paramod,[status(thm)],[c_698,c_113]) ).
cnf(c_26922,plain,
difference(A,one) = product(quotient(one,A),quotient(quotient(one,A),difference(A,one))),
inference(paramod,[status(thm)],[c_630,c_26921]) ).
cnf(c_704,plain,
product(quotient(one,A),quotient(quotient(one,A),difference(A,one))) = difference(A,one),
inference(copy,[status(thm)],[c_26922]) ).
cnf(c_26923,plain,
quotient(product(quotient(one,A),product(B,product(A,quotient(one,A)))),quotient(difference(A,one),quotient(one,A))) = difference(quotient(difference(A,one),quotient(one,A)),product(difference(A,one),B)),
inference(paramod,[status(thm)],[c_698,c_26]) ).
cnf(c_26924,plain,
quotient(product(quotient(one,A),product(B,product(A,quotient(one,A)))),product(A,quotient(one,A))) = difference(quotient(difference(A,one),quotient(one,A)),product(difference(A,one),B)),
inference(paramod,[status(thm)],[c_698,c_26923]) ).
cnf(c_26925,plain,
quotient(product(quotient(one,A),product(B,product(A,quotient(one,A)))),product(A,quotient(one,A))) = difference(product(A,quotient(one,A)),product(difference(A,one),B)),
inference(paramod,[status(thm)],[c_698,c_26924]) ).
cnf(c_706,plain,
quotient(product(quotient(one,A),product(B,product(A,quotient(one,A)))),product(A,quotient(one,A))) = quotient(difference(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_52,c_26925]) ).
cnf(c_26926,plain,
quotient(quotient(one,A),difference(A,one)) = difference(quotient(one,A),difference(A,one)),
inference(paramod,[status(thm)],[c_700,c_660]) ).
cnf(c_712,plain,
difference(quotient(one,A),difference(A,one)) = quotient(quotient(one,A),difference(A,one)),
inference(copy,[status(thm)],[c_26926]) ).
cnf(c_26927,plain,
quotient(product(product(A,quotient(one,A)),A),quotient(quotient(one,quotient(one,A)),A)) = A,
inference(paramod,[status(thm)],[c_255,c_35]) ).
cnf(c_726,plain,
quotient(difference(difference(A,one),one),quotient(quotient(one,quotient(one,A)),A)) = A,
inference(paramod,[status(thm)],[c_511,c_26927]) ).
cnf(c_736,plain,
difference(A,difference(A,one)) = quotient(one,product(A,A)),
inference(paramod,[status(thm)],[c_700,c_4]) ).
cnf(c_26928,plain,
difference(product(A,B),difference(A,one)) = quotient(difference(B,product(quotient(one,product(A,A)),A)),A),
inference(paramod,[status(thm)],[c_700,c_29]) ).
cnf(c_741,plain,
difference(product(A,B),difference(A,one)) = quotient(difference(B,quotient(one,A)),A),
inference(paramod,[status(thm)],[c_627,c_26928]) ).
cnf(c_26929,plain,
difference(product(A,A),difference(A,one)) = quotient(product(difference(product(A,A),A),one),product(A,A)),
inference(paramod,[status(thm)],[c_700,c_89]) ).
cnf(c_26930,plain,
quotient(difference(A,quotient(one,A)),A) = quotient(product(difference(product(A,A),A),one),product(A,A)),
inference(paramod,[status(thm)],[c_741,c_26929]) ).
cnf(c_26931,plain,
quotient(quotient(difference(A,one),A),A) = quotient(product(difference(product(A,A),A),one),product(A,A)),
inference(paramod,[status(thm)],[c_220,c_26930]) ).
cnf(c_26932,plain,
quotient(quotient(difference(A,one),A),A) = quotient(product(quotient(difference(A,A),A),one),product(A,A)),
inference(paramod,[status(thm)],[c_47,c_26931]) ).
cnf(c_26933,plain,
quotient(quotient(difference(A,one),A),A) = quotient(product(quotient(one,A),one),product(A,A)),
inference(paramod,[status(thm)],[c_18,c_26932]) ).
cnf(c_746,plain,
quotient(quotient(difference(A,one),A),A) = quotient(quotient(one,A),product(A,A)),
inference(paramod,[status(thm)],[c_1,c_26933]) ).
cnf(c_26934,plain,
product(difference(A,one),quotient(one,product(A,A))) = quotient(difference(A,one),product(A,A)),
inference(paramod,[status(thm)],[c_736,c_626]) ).
cnf(c_754,plain,
difference(A,quotient(one,product(A,A))) = quotient(difference(A,one),product(A,A)),
inference(paramod,[status(thm)],[c_633,c_26934]) ).
cnf(c_26935,plain,
quotient(quotient(difference(A,one),product(A,A)),quotient(one,product(A,A))) = difference(A,one),
inference(paramod,[status(thm)],[c_736,c_624]) ).
cnf(c_26936,plain,
product(quotient(one,product(A,A)),product(product(A,A),difference(A,one))) = difference(A,one),
inference(paramod,[status(thm)],[c_394,c_26935]) ).
cnf(c_756,plain,
product(quotient(one,product(A,A)),difference(difference(A,one),one)) = difference(A,one),
inference(paramod,[status(thm)],[c_447,c_26936]) ).
cnf(c_757,plain,
quotient(difference(A,one),difference(difference(A,one),one)) = quotient(one,product(A,A)),
inference(paramod,[status(thm)],[c_736,c_617]) ).
cnf(c_771,plain,
difference(product(A,A),one) = quotient(one,product(A,A)),
inference(paramod,[status(thm)],[c_736,c_546]) ).
cnf(c_772,plain,
product(A,quotient(quotient(one,product(A,A)),A)) = product(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_736,c_497]) ).
cnf(c_773,plain,
product(quotient(one,product(A,A)),quotient(one,A)) = quotient(quotient(one,product(A,A)),A),
inference(paramod,[status(thm)],[c_736,c_487]) ).
cnf(c_777,plain,
difference(quotient(A,difference(A,one)),quotient(one,A)) = quotient(quotient(one,A),product(A,A)),
inference(paramod,[status(thm)],[c_746,c_618]) ).
cnf(c_791,plain,
difference(quotient(difference(A,one),product(A,A)),product(difference(A,one),quotient(one,A))) = A,
inference(paramod,[status(thm)],[c_754,c_638]) ).
cnf(c_799,plain,
product(quotient(difference(A,one),A),quotient(A,difference(A,one))) = one,
inference(paramod,[status(thm)],[c_599,c_3]) ).
cnf(c_26937,plain,
product(quotient(A,difference(A,one)),quotient(difference(A,one),A)) = product(quotient(difference(A,one),A),quotient(one,quotient(difference(A,one),A))),
inference(paramod,[status(thm)],[c_599,c_12]) ).
cnf(c_26938,plain,
product(quotient(A,difference(A,one)),quotient(difference(A,one),A)) = product(quotient(difference(A,one),A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_641,c_26937]) ).
cnf(c_800,plain,
product(quotient(A,difference(A,one)),quotient(difference(A,one),A)) = one,
inference(paramod,[status(thm)],[c_799,c_26938]) ).
cnf(c_26939,plain,
difference(quotient(A,difference(A,one)),product(product(quotient(difference(A,one),A),quotient(one,quotient(difference(A,one),A))),B)) = quotient(product(quotient(difference(A,one),A),product(B,difference(quotient(difference(A,one),A),one))),difference(quotient(difference(A,one),A),one)),
inference(paramod,[status(thm)],[c_599,c_34]) ).
cnf(c_26940,plain,
difference(quotient(A,difference(A,one)),product(product(quotient(difference(A,one),A),quotient(A,difference(A,one))),B)) = quotient(product(quotient(difference(A,one),A),product(B,difference(quotient(difference(A,one),A),one))),difference(quotient(difference(A,one),A),one)),
inference(paramod,[status(thm)],[c_641,c_26939]) ).
cnf(c_26941,plain,
difference(quotient(A,difference(A,one)),product(one,B)) = quotient(product(quotient(difference(A,one),A),product(B,difference(quotient(difference(A,one),A),one))),difference(quotient(difference(A,one),A),one)),
inference(paramod,[status(thm)],[c_799,c_26940]) ).
cnf(c_26942,plain,
difference(quotient(A,difference(A,one)),B) = quotient(product(quotient(difference(A,one),A),product(B,difference(quotient(difference(A,one),A),one))),difference(quotient(difference(A,one),A),one)),
inference(paramod,[status(thm)],[c_2,c_26941]) ).
cnf(c_26943,plain,
difference(quotient(A,difference(A,one)),B) = quotient(product(quotient(difference(A,one),A),product(B,quotient(A,difference(A,one)))),difference(quotient(difference(A,one),A),one)),
inference(paramod,[status(thm)],[c_599,c_26942]) ).
cnf(c_26944,plain,
difference(quotient(A,difference(A,one)),B) = quotient(product(quotient(difference(A,one),A),product(B,quotient(A,difference(A,one)))),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_599,c_26943]) ).
cnf(c_814,plain,
quotient(product(quotient(difference(A,one),A),product(B,quotient(A,difference(A,one)))),quotient(A,difference(A,one))) = difference(quotient(A,difference(A,one)),B),
inference(copy,[status(thm)],[c_26944]) ).
cnf(c_26945,plain,
product(quotient(quotient(one,quotient(one,A)),product(A,quotient(one,A))),quotient(quotient(one,quotient(one,A)),quotient(one,A))) = difference(quotient(one,A),quotient(quotient(one,quotient(one,A)),quotient(one,A))),
inference(paramod,[status(thm)],[c_36,c_85]) ).
cnf(c_26946,plain,
product(A,quotient(quotient(one,quotient(one,A)),quotient(one,A))) = difference(quotient(one,A),quotient(quotient(one,quotient(one,A)),quotient(one,A))),
inference(paramod,[status(thm)],[c_679,c_26945]) ).
cnf(c_26947,plain,
product(A,quotient(one,product(quotient(one,A),quotient(one,A)))) = difference(quotient(one,A),quotient(quotient(one,quotient(one,A)),quotient(one,A))),
inference(paramod,[status(thm)],[c_608,c_26946]) ).
cnf(c_26948,plain,
product(A,quotient(one,quotient(difference(A,one),A))) = difference(quotient(one,A),quotient(quotient(one,quotient(one,A)),quotient(one,A))),
inference(paramod,[status(thm)],[c_241,c_26947]) ).
cnf(c_26949,plain,
product(A,quotient(A,difference(A,one))) = difference(quotient(one,A),quotient(quotient(one,quotient(one,A)),quotient(one,A))),
inference(paramod,[status(thm)],[c_641,c_26948]) ).
cnf(c_26950,plain,
product(A,quotient(A,difference(A,one))) = difference(quotient(one,A),quotient(one,product(quotient(one,A),quotient(one,A)))),
inference(paramod,[status(thm)],[c_608,c_26949]) ).
cnf(c_26951,plain,
product(A,quotient(A,difference(A,one))) = difference(quotient(one,A),quotient(one,quotient(difference(A,one),A))),
inference(paramod,[status(thm)],[c_241,c_26950]) ).
cnf(c_26952,plain,
product(A,quotient(A,difference(A,one))) = difference(quotient(one,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_641,c_26951]) ).
cnf(c_828,plain,
difference(quotient(one,A),quotient(A,difference(A,one))) = product(A,quotient(A,difference(A,one))),
inference(copy,[status(thm)],[c_26952]) ).
cnf(c_26953,plain,
difference(quotient(A,difference(A,one)),product(one,quotient(B,quotient(A,difference(A,one))))) = quotient(product(quotient(difference(A,one),A),B),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_642,c_89]) ).
cnf(c_835,plain,
difference(quotient(A,difference(A,one)),quotient(B,quotient(A,difference(A,one)))) = quotient(product(quotient(difference(A,one),A),B),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_2,c_26953]) ).
cnf(c_26954,plain,
difference(A,difference(difference(A,one),one)) = quotient(quotient(one,difference(A,one)),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_21,c_712]) ).
cnf(c_26955,plain,
quotient(quotient(one,quotient(one,A)),A) = quotient(quotient(one,difference(A,one)),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_649,c_26954]) ).
cnf(c_858,plain,
quotient(quotient(one,quotient(one,A)),A) = quotient(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_21,c_26955]) ).
cnf(c_26956,plain,
difference(quotient(one,quotient(one,A)),A) = quotient(quotient(one,quotient(one,A)),difference(quotient(one,A),one)),
inference(paramod,[status(thm)],[c_22,c_712]) ).
cnf(c_26957,plain,
difference(quotient(one,quotient(one,A)),A) = quotient(quotient(one,quotient(one,A)),A),
inference(paramod,[status(thm)],[c_22,c_26956]) ).
cnf(c_859,plain,
difference(quotient(one,quotient(one,A)),A) = quotient(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_858,c_26957]) ).
cnf(c_26958,plain,
quotient(difference(difference(A,one),one),quotient(A,difference(difference(A,one),one))) = A,
inference(paramod,[status(thm)],[c_858,c_726]) ).
cnf(c_26959,plain,
product(difference(difference(A,one),one),quotient(difference(difference(A,one),one),A)) = A,
inference(paramod,[status(thm)],[c_113,c_26958]) ).
cnf(c_864,plain,
product(difference(difference(A,one),one),product(A,quotient(one,A))) = A,
inference(paramod,[status(thm)],[c_701,c_26959]) ).
cnf(c_865,plain,
difference(A,difference(difference(A,one),one)) = quotient(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_858,c_649]) ).
cnf(c_872,plain,
product(A,quotient(difference(A,B),A)) = product(B,quotient(one,A)),
inference(paramod,[status(thm)],[c_535,c_6]) ).
cnf(c_26960,plain,
difference(difference(A,one),product(quotient(difference(A,B),A),A)) = product(product(B,quotient(one,A)),A),
inference(paramod,[status(thm)],[c_872,c_498]) ).
cnf(c_922,plain,
difference(difference(A,one),difference(A,B)) = product(product(B,quotient(one,A)),A),
inference(paramod,[status(thm)],[c_6,c_26960]) ).
cnf(c_26961,plain,
difference(A,quotient(A,difference(A,one))) = difference(difference(A,one),one),
inference(paramod,[status(thm)],[c_628,c_4]) ).
cnf(c_26962,plain,
quotient(A,product(difference(A,one),A)) = difference(difference(A,one),one),
inference(paramod,[status(thm)],[c_80,c_26961]) ).
cnf(c_937,plain,
quotient(A,product(A,quotient(one,A))) = difference(difference(A,one),one),
inference(paramod,[status(thm)],[c_12,c_26962]) ).
cnf(c_26963,plain,
difference(quotient(A,difference(A,one)),product(A,B)) = quotient(difference(difference(difference(A,one),one),product(B,A)),A),
inference(paramod,[status(thm)],[c_628,c_29]) ).
cnf(c_942,plain,
quotient(difference(difference(difference(A,one),one),product(B,A)),A) = difference(quotient(A,difference(A,one)),product(A,B)),
inference(copy,[status(thm)],[c_26963]) ).
cnf(c_959,plain,
product(difference(A,one),quotient(B,difference(A,one))) = product(product(difference(A,one),B),A),
inference(paramod,[status(thm)],[c_1,c_38]) ).
cnf(c_26964,plain,
difference(product(A,quotient(one,A)),A) = product(difference(quotient(one,quotient(one,A)),A),A),
inference(paramod,[status(thm)],[c_658,c_66]) ).
cnf(c_26965,plain,
quotient(difference(quotient(one,A),A),A) = product(difference(quotient(one,quotient(one,A)),A),A),
inference(paramod,[status(thm)],[c_47,c_26964]) ).
cnf(c_26966,plain,
quotient(quotient(A,difference(A,one)),A) = product(difference(quotient(one,quotient(one,A)),A),A),
inference(paramod,[status(thm)],[c_579,c_26965]) ).
cnf(c_26967,plain,
product(A,product(difference(A,one),A)) = product(difference(quotient(one,quotient(one,A)),A),A),
inference(paramod,[status(thm)],[c_279,c_26966]) ).
cnf(c_26968,plain,
product(A,product(A,quotient(one,A))) = product(difference(quotient(one,quotient(one,A)),A),A),
inference(paramod,[status(thm)],[c_12,c_26967]) ).
cnf(c_26969,plain,
quotient(one,quotient(one,A)) = product(difference(quotient(one,quotient(one,A)),A),A),
inference(paramod,[status(thm)],[c_640,c_26968]) ).
cnf(c_26970,plain,
quotient(one,quotient(one,A)) = product(quotient(A,difference(difference(A,one),one)),A),
inference(paramod,[status(thm)],[c_859,c_26969]) ).
cnf(c_1035,plain,
product(quotient(A,difference(difference(A,one),one)),A) = quotient(one,quotient(one,A)),
inference(copy,[status(thm)],[c_26970]) ).
cnf(c_1038,plain,
quotient(product(product(A,quotient(one,A)),product(B,A)),A) = difference(A,product(quotient(one,quotient(one,A)),B)),
inference(paramod,[status(thm)],[c_658,c_24]) ).
cnf(c_26971,plain,
product(product(A,quotient(one,A)),product(difference(quotient(one,quotient(one,A)),A),A)) = A,
inference(paramod,[status(thm)],[c_658,c_69]) ).
cnf(c_26972,plain,
product(product(A,quotient(one,A)),product(quotient(A,difference(difference(A,one),one)),A)) = A,
inference(paramod,[status(thm)],[c_859,c_26971]) ).
cnf(c_1039,plain,
product(product(A,quotient(one,A)),quotient(one,quotient(one,A))) = A,
inference(paramod,[status(thm)],[c_1035,c_26972]) ).
cnf(c_26973,plain,
quotient(product(difference(product(A,quotient(one,A)),difference(A,one)),product(A,quotient(one,A))),quotient(one,A)) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_667,c_319]) ).
cnf(c_26974,plain,
quotient(product(quotient(difference(quotient(one,A),quotient(one,A)),A),product(A,quotient(one,A))),quotient(one,A)) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_741,c_26973]) ).
cnf(c_26975,plain,
quotient(product(quotient(one,A),product(A,quotient(one,A))),quotient(one,A)) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_18,c_26974]) ).
cnf(c_26976,plain,
difference(quotient(one,A),product(quotient(difference(A,one),A),A)) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_236,c_26975]) ).
cnf(c_26977,plain,
difference(quotient(one,A),difference(A,one)) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_6,c_26976]) ).
cnf(c_26978,plain,
quotient(quotient(one,A),difference(A,one)) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_712,c_26977]) ).
cnf(c_1046,plain,
difference(product(A,quotient(one,A)),one) = quotient(quotient(one,A),difference(A,one)),
inference(copy,[status(thm)],[c_26978]) ).
cnf(c_26979,plain,
product(product(A,quotient(one,A)),quotient(B,difference(A,one))) = product(difference(A,one),quotient(product(A,B),difference(A,one))),
inference(paramod,[status(thm)],[c_12,c_39]) ).
cnf(c_1066,plain,
product(product(A,quotient(one,A)),quotient(B,difference(A,one))) = product(product(difference(A,one),product(A,B)),A),
inference(paramod,[status(thm)],[c_959,c_26979]) ).
cnf(c_1099,plain,
difference(difference(A,one),product(A,quotient(product(quotient(one,A),B),A))) = quotient(product(A,product(quotient(B,A),difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_39,c_34]) ).
cnf(c_26980,plain,
product(quotient(A,difference(A,one)),quotient(B,A)) = product(A,quotient(product(difference(difference(A,one),one),B),A)),
inference(paramod,[status(thm)],[c_628,c_39]) ).
cnf(c_1111,plain,
product(A,quotient(product(difference(difference(A,one),one),B),A)) = product(quotient(A,difference(A,one)),quotient(B,A)),
inference(copy,[status(thm)],[c_26980]) ).
cnf(c_1177,plain,
quotient(product(A,quotient(B,A)),C) = product(A,quotient(B,product(C,A))),
inference(paramod,[status(thm)],[c_40,c_5]) ).
cnf(c_26981,plain,
product(A,quotient(product(B,product(C,quotient(D,C))),A)) = product(product(A,B),product(C,quotient(D,product(A,C)))),
inference(paramod,[status(thm)],[c_40,c_23]) ).
cnf(c_1182,plain,
product(product(A,B),product(C,quotient(D,product(A,C)))) = product(A,quotient(product(B,product(C,quotient(D,C))),A)),
inference(copy,[status(thm)],[c_26981]) ).
cnf(c_26982,plain,
quotient(product(A,quotient(B,product(difference(A,quotient(B,A)),A))),A) = difference(quotient(B,A),product(A,product(difference(A,one),B))),
inference(paramod,[status(thm)],[c_1177,c_317]) ).
cnf(c_26983,plain,
quotient(product(A,quotient(B,product(difference(A,one),B))),A) = difference(quotient(B,A),product(A,product(difference(A,one),B))),
inference(paramod,[status(thm)],[c_222,c_26982]) ).
cnf(c_1239,plain,
difference(quotient(A,B),product(B,product(difference(B,one),A))) = quotient(product(B,quotient(A,product(difference(B,one),A))),B),
inference(copy,[status(thm)],[c_26983]) ).
cnf(c_26984,plain,
difference(quotient(difference(A,one),A),product(A,quotient(one,A))) = product(A,quotient(one,product(quotient(difference(A,one),A),A))),
inference(paramod,[status(thm)],[c_1177,c_262]) ).
cnf(c_26985,plain,
difference(quotient(difference(A,one),A),product(A,quotient(one,A))) = product(A,quotient(one,difference(A,one))),
inference(paramod,[status(thm)],[c_6,c_26984]) ).
cnf(c_1240,plain,
difference(quotient(difference(A,one),A),product(A,quotient(one,A))) = product(A,A),
inference(paramod,[status(thm)],[c_21,c_26985]) ).
cnf(c_26986,plain,
quotient(product(A,B),C) = product(A,quotient(product(B,A),product(C,A))),
inference(paramod,[status(thm)],[c_5,c_1177]) ).
cnf(c_1244,plain,
product(A,quotient(product(B,A),product(C,A))) = quotient(product(A,B),C),
inference(copy,[status(thm)],[c_26986]) ).
cnf(c_26987,plain,
quotient(product(A,quotient(one,product(A,A))),B) = product(A,quotient(quotient(one,A),product(B,A))),
inference(paramod,[status(thm)],[c_608,c_1177]) ).
cnf(c_26988,plain,
quotient(difference(A,one),B) = product(A,quotient(quotient(one,A),product(B,A))),
inference(paramod,[status(thm)],[c_700,c_26987]) ).
cnf(c_1271,plain,
product(A,quotient(quotient(one,A),product(B,A))) = quotient(difference(A,one),B),
inference(copy,[status(thm)],[c_26988]) ).
cnf(c_26989,plain,
quotient(product(A,quotient(one,B)),C) = product(B,quotient(difference(B,A),product(C,B))),
inference(paramod,[status(thm)],[c_872,c_1177]) ).
cnf(c_1287,plain,
product(A,quotient(difference(A,B),product(C,A))) = quotient(product(B,quotient(one,A)),C),
inference(copy,[status(thm)],[c_26989]) ).
cnf(c_1305,plain,
product(quotient(difference(A,one),A),product(A,A)) = product(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_1240,c_3]) ).
cnf(c_26990,plain,
quotient(product(A,quotient(one,A)),product(A,A)) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_1240,c_21]) ).
cnf(c_1306,plain,
product(A,quotient(one,product(product(A,A),A))) = quotient(difference(A,one),A),
inference(paramod,[status(thm)],[c_1177,c_26990]) ).
cnf(c_26991,plain,
difference(product(product(A,quotient(one,A)),quotient(difference(A,one),A)),product(A,quotient(one,A))) = quotient(product(A,A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_1240,c_47]) ).
cnf(c_26992,plain,
difference(product(A,quotient(product(quotient(one,A),difference(A,one)),A)),product(A,quotient(one,A))) = quotient(product(A,A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_39,c_26991]) ).
cnf(c_26993,plain,
difference(product(A,quotient(quotient(one,product(A,A)),A)),product(A,quotient(one,A))) = quotient(product(A,A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_146,c_26992]) ).
cnf(c_26994,plain,
difference(product(difference(A,one),quotient(one,A)),product(A,quotient(one,A))) = quotient(product(A,A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_772,c_26993]) ).
cnf(c_26995,plain,
quotient(difference(quotient(one,A),one),difference(A,one)) = quotient(product(A,A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_53,c_26994]) ).
cnf(c_26996,plain,
quotient(A,difference(A,one)) = quotient(product(A,A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_26995]) ).
cnf(c_1308,plain,
quotient(product(A,A),product(A,quotient(one,A))) = quotient(A,difference(A,one)),
inference(copy,[status(thm)],[c_26996]) ).
cnf(c_26997,plain,
product(product(A,A),quotient(difference(quotient(difference(A,one),A),product(A,quotient(one,A))),product(A,quotient(one,A)))) = quotient(difference(quotient(difference(A,one),A),product(A,quotient(one,A))),quotient(difference(A,one),A)),
inference(paramod,[status(thm)],[c_1240,c_112]) ).
cnf(c_26998,plain,
product(product(A,A),quotient(product(A,A),product(A,quotient(one,A)))) = quotient(difference(quotient(difference(A,one),A),product(A,quotient(one,A))),quotient(difference(A,one),A)),
inference(paramod,[status(thm)],[c_1240,c_26997]) ).
cnf(c_26999,plain,
product(product(A,A),quotient(A,difference(A,one))) = quotient(difference(quotient(difference(A,one),A),product(A,quotient(one,A))),quotient(difference(A,one),A)),
inference(paramod,[status(thm)],[c_1308,c_26998]) ).
cnf(c_27000,plain,
product(product(A,A),quotient(A,difference(A,one))) = quotient(product(A,A),quotient(difference(A,one),A)),
inference(paramod,[status(thm)],[c_1240,c_26999]) ).
cnf(c_1316,plain,
quotient(product(A,A),quotient(difference(A,one),A)) = product(product(A,A),quotient(A,difference(A,one))),
inference(copy,[status(thm)],[c_27000]) ).
cnf(c_1321,plain,
difference(A,quotient(product(A,B),C)) = quotient(product(B,A),product(C,A)),
inference(paramod,[status(thm)],[c_1244,c_4]) ).
cnf(c_27001,plain,
product(A,quotient(product(B,A),C)) = quotient(product(A,B),quotient(C,A)),
inference(paramod,[status(thm)],[c_6,c_1244]) ).
cnf(c_1323,plain,
quotient(product(A,B),quotient(C,A)) = product(A,quotient(product(B,A),C)),
inference(copy,[status(thm)],[c_27001]) ).
cnf(c_1328,plain,
product(A,quotient(product(B,A),product(A,quotient(one,A)))) = quotient(product(A,B),difference(A,one)),
inference(paramod,[status(thm)],[c_12,c_1244]) ).
cnf(c_27002,plain,
product(A,quotient(product(A,A),product(difference(A,one),A))) = product(product(A,A),A),
inference(paramod,[status(thm)],[c_122,c_1244]) ).
cnf(c_27003,plain,
product(A,quotient(product(A,A),product(A,quotient(one,A)))) = product(product(A,A),A),
inference(paramod,[status(thm)],[c_12,c_27002]) ).
cnf(c_1337,plain,
product(A,quotient(A,difference(A,one))) = product(product(A,A),A),
inference(paramod,[status(thm)],[c_1308,c_27003]) ).
cnf(c_27004,plain,
product(difference(A,one),quotient(product(B,difference(A,one)),product(A,difference(A,one)))) = difference(A,quotient(B,A)),
inference(paramod,[status(thm)],[c_202,c_1244]) ).
cnf(c_27005,plain,
product(difference(A,one),quotient(product(B,difference(A,one)),one)) = difference(A,quotient(B,A)),
inference(paramod,[status(thm)],[c_3,c_27004]) ).
cnf(c_1349,plain,
product(difference(A,one),product(B,difference(A,one))) = difference(A,quotient(B,A)),
inference(paramod,[status(thm)],[c_19,c_27005]) ).
cnf(c_27006,plain,
product(quotient(difference(A,one),A),quotient(product(B,quotient(difference(A,one),A)),one)) = quotient(product(quotient(difference(A,one),A),B),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_800,c_1244]) ).
cnf(c_27007,plain,
product(quotient(difference(A,one),A),product(B,quotient(difference(A,one),A))) = quotient(product(quotient(difference(A,one),A),B),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_19,c_27006]) ).
cnf(c_1374,plain,
quotient(product(quotient(difference(A,one),A),B),quotient(A,difference(A,one))) = product(quotient(difference(A,one),A),product(B,quotient(difference(A,one),A))),
inference(copy,[status(thm)],[c_27007]) ).
cnf(c_27008,plain,
product(A,quotient(product(A,A),difference(A,one))) = product(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_1323,c_1316]) ).
cnf(c_27009,plain,
product(A,product(product(A,A),A)) = product(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_122,c_27008]) ).
cnf(c_1393,plain,
product(product(A,A),quotient(A,difference(A,one))) = product(A,product(product(A,A),A)),
inference(copy,[status(thm)],[c_27009]) ).
cnf(c_27010,plain,
difference(quotient(one,A),quotient(B,quotient(one,A))) = product(A,quotient(product(B,A),one)),
inference(paramod,[status(thm)],[c_1323,c_224]) ).
cnf(c_1408,plain,
difference(quotient(one,A),quotient(B,quotient(one,A))) = product(A,product(B,A)),
inference(paramod,[status(thm)],[c_19,c_27010]) ).
cnf(c_1414,plain,
difference(quotient(one,A),quotient(A,difference(A,one))) = product(product(A,A),A),
inference(paramod,[status(thm)],[c_1337,c_828]) ).
cnf(c_27011,plain,
quotient(difference(A,quotient(B,A)),difference(A,one)) = difference(difference(A,one),product(quotient(difference(A,one),A),B)),
inference(paramod,[status(thm)],[c_1349,c_425]) ).
cnf(c_1415,plain,
difference(difference(A,one),product(quotient(difference(A,one),A),B)) = quotient(difference(A,quotient(B,A)),difference(A,one)),
inference(copy,[status(thm)],[c_27011]) ).
cnf(c_1425,plain,
difference(quotient(A,difference(A,one)),quotient(B,quotient(A,difference(A,one)))) = product(quotient(difference(A,one),A),product(B,quotient(difference(A,one),A))),
inference(paramod,[status(thm)],[c_1374,c_835]) ).
cnf(c_1426,plain,
product(quotient(difference(A,one),A),product(product(B,quotient(A,difference(A,one))),quotient(difference(A,one),A))) = difference(quotient(A,difference(A,one)),B),
inference(paramod,[status(thm)],[c_1374,c_814]) ).
cnf(c_1434,plain,
difference(quotient(A,difference(A,one)),product(A,A)) = product(A,quotient(one,A)),
inference(paramod,[status(thm)],[c_1308,c_22]) ).
cnf(c_27012,plain,
difference(product(A,A),quotient(A,difference(A,one))) = quotient(product(A,A),product(product(A,quotient(one,A)),product(A,A))),
inference(paramod,[status(thm)],[c_1308,c_80]) ).
cnf(c_1435,plain,
quotient(product(A,A),product(product(A,quotient(one,A)),product(A,A))) = difference(product(A,A),quotient(A,difference(A,one))),
inference(copy,[status(thm)],[c_27012]) ).
cnf(c_27013,plain,
quotient(product(A,quotient(one,A)),quotient(A,difference(A,one))) = product(product(A,quotient(one,A)),quotient(product(A,quotient(one,A)),product(A,A))),
inference(paramod,[status(thm)],[c_1308,c_113]) ).
cnf(c_27014,plain,
product(A,quotient(one,product(quotient(A,difference(A,one)),A))) = product(product(A,quotient(one,A)),quotient(product(A,quotient(one,A)),product(A,A))),
inference(paramod,[status(thm)],[c_1177,c_27013]) ).
cnf(c_27015,plain,
product(A,quotient(one,product(quotient(A,difference(A,one)),A))) = product(product(A,quotient(one,A)),product(A,quotient(one,product(product(A,A),A)))),
inference(paramod,[status(thm)],[c_1177,c_27014]) ).
cnf(c_27016,plain,
product(A,quotient(one,product(quotient(A,difference(A,one)),A))) = product(product(A,quotient(one,A)),quotient(difference(A,one),A)),
inference(paramod,[status(thm)],[c_1306,c_27015]) ).
cnf(c_27017,plain,
product(A,quotient(one,product(quotient(A,difference(A,one)),A))) = product(A,quotient(product(quotient(one,A),difference(A,one)),A)),
inference(paramod,[status(thm)],[c_39,c_27016]) ).
cnf(c_27018,plain,
product(A,quotient(one,product(quotient(A,difference(A,one)),A))) = product(A,quotient(quotient(one,product(A,A)),A)),
inference(paramod,[status(thm)],[c_146,c_27017]) ).
cnf(c_1436,plain,
product(A,quotient(one,product(quotient(A,difference(A,one)),A))) = product(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_772,c_27018]) ).
cnf(c_27019,plain,
difference(A,quotient(B,C)) = quotient(product(difference(A,B),A),product(C,A)),
inference(paramod,[status(thm)],[c_3,c_1321]) ).
cnf(c_1448,plain,
quotient(product(difference(A,B),A),product(C,A)) = difference(A,quotient(B,C)),
inference(copy,[status(thm)],[c_27019]) ).
cnf(c_27020,plain,
difference(A,product(product(A,A),A)) = quotient(product(A,A),product(difference(A,one),A)),
inference(paramod,[status(thm)],[c_122,c_1321]) ).
cnf(c_27021,plain,
quotient(product(A,product(A,A)),A) = quotient(product(A,A),product(difference(A,one),A)),
inference(paramod,[status(thm)],[c_7,c_27020]) ).
cnf(c_27022,plain,
quotient(product(A,product(A,A)),A) = quotient(product(A,A),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_12,c_27021]) ).
cnf(c_1462,plain,
quotient(product(A,product(A,A)),A) = quotient(A,difference(A,one)),
inference(paramod,[status(thm)],[c_1308,c_27022]) ).
cnf(c_27023,plain,
difference(difference(A,one),difference(A,quotient(B,A))) = quotient(product(B,difference(A,one)),product(A,difference(A,one))),
inference(paramod,[status(thm)],[c_202,c_1321]) ).
cnf(c_27024,plain,
product(product(quotient(B,A),quotient(one,A)),A) = quotient(product(B,difference(A,one)),product(A,difference(A,one))),
inference(paramod,[status(thm)],[c_922,c_27023]) ).
cnf(c_27025,plain,
product(product(quotient(B,A),quotient(one,A)),A) = quotient(product(B,difference(A,one)),one),
inference(paramod,[status(thm)],[c_3,c_27024]) ).
cnf(c_1469,plain,
product(product(quotient(A,B),quotient(one,B)),B) = product(A,difference(B,one)),
inference(paramod,[status(thm)],[c_19,c_27025]) ).
cnf(c_1474,plain,
product(quotient(product(A,B),product(B,B)),B) = product(difference(B,one),product(B,A)),
inference(paramod,[status(thm)],[c_1321,c_222]) ).
cnf(c_27026,plain,
difference(A,quotient(product(A,difference(A,quotient(B,A))),C)) = quotient(product(difference(A,one),B),product(C,A)),
inference(paramod,[status(thm)],[c_222,c_1321]) ).
cnf(c_27027,plain,
difference(A,quotient(quotient(B,A),C)) = quotient(product(difference(A,one),B),product(C,A)),
inference(paramod,[status(thm)],[c_3,c_27026]) ).
cnf(c_1476,plain,
quotient(product(difference(A,one),B),product(C,A)) = difference(A,quotient(quotient(B,A),C)),
inference(copy,[status(thm)],[c_27027]) ).
cnf(c_27028,plain,
difference(quotient(difference(A,one),A),quotient(one,B)) = quotient(product(quotient(A,difference(A,one)),quotient(difference(A,one),A)),product(B,quotient(difference(A,one),A))),
inference(paramod,[status(thm)],[c_799,c_1321]) ).
cnf(c_1494,plain,
difference(quotient(difference(A,one),A),quotient(one,B)) = quotient(one,product(B,quotient(difference(A,one),A))),
inference(paramod,[status(thm)],[c_800,c_27028]) ).
cnf(c_27029,plain,
difference(quotient(A,difference(A,one)),quotient(product(quotient(A,difference(A,one)),quotient(difference(A,one),A)),B)) = quotient(one,product(B,quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_799,c_1321]) ).
cnf(c_1495,plain,
difference(quotient(A,difference(A,one)),quotient(one,B)) = quotient(one,product(B,quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_800,c_27029]) ).
cnf(c_27030,plain,
difference(A,quotient(quotient(product(B,product(A,A)),A),A)) = difference(product(A,A),product(difference(difference(A,one),one),B)),
inference(paramod,[status(thm)],[c_1476,c_452]) ).
cnf(c_1516,plain,
difference(product(A,A),product(difference(difference(A,one),one),B)) = difference(A,quotient(quotient(product(B,product(A,A)),A),A)),
inference(copy,[status(thm)],[c_27030]) ).
cnf(c_27031,plain,
quotient(one,product(A,quotient(A,difference(A,one)))) = quotient(quotient(one,A),product(A,A)),
inference(paramod,[status(thm)],[c_1495,c_777]) ).
cnf(c_27032,plain,
quotient(one,product(product(A,A),A)) = quotient(quotient(one,A),product(A,A)),
inference(paramod,[status(thm)],[c_1337,c_27031]) ).
cnf(c_1518,plain,
quotient(quotient(one,A),product(A,A)) = quotient(one,product(product(A,A),A)),
inference(copy,[status(thm)],[c_27032]) ).
cnf(c_1537,plain,
product(quotient(one,A),quotient(one,product(A,A))) = quotient(one,product(product(A,A),A)),
inference(paramod,[status(thm)],[c_1518,c_632]) ).
cnf(c_27033,plain,
quotient(product(difference(A,B),A),C) = difference(A,quotient(B,quotient(C,A))),
inference(paramod,[status(thm)],[c_6,c_1448]) ).
cnf(c_1639,plain,
difference(A,quotient(B,quotient(C,A))) = quotient(product(difference(A,B),A),C),
inference(copy,[status(thm)],[c_27033]) ).
cnf(c_27034,plain,
quotient(product(quotient(one,product(A,A)),product(A,A)),product(B,product(A,A))) = difference(product(A,A),quotient(one,B)),
inference(paramod,[status(thm)],[c_771,c_1448]) ).
cnf(c_27035,plain,
quotient(one,product(B,product(A,A))) = difference(product(A,A),quotient(one,B)),
inference(paramod,[status(thm)],[c_6,c_27034]) ).
cnf(c_1679,plain,
difference(product(A,A),quotient(one,B)) = quotient(one,product(B,product(A,A))),
inference(copy,[status(thm)],[c_27035]) ).
cnf(c_1712,plain,
product(quotient(A,difference(A,one)),A) = product(A,product(A,A)),
inference(paramod,[status(thm)],[c_1462,c_6]) ).
cnf(c_27036,plain,
product(difference(A,quotient(A,difference(A,one))),A) = product(difference(A,one),product(A,product(A,A))),
inference(paramod,[status(thm)],[c_1462,c_222]) ).
cnf(c_27037,plain,
product(quotient(A,product(difference(A,one),A)),A) = product(difference(A,one),product(A,product(A,A))),
inference(paramod,[status(thm)],[c_80,c_27036]) ).
cnf(c_27038,plain,
product(quotient(A,product(A,quotient(one,A))),A) = product(difference(A,one),product(A,product(A,A))),
inference(paramod,[status(thm)],[c_12,c_27037]) ).
cnf(c_27039,plain,
product(difference(difference(A,one),one),A) = product(difference(A,one),product(A,product(A,A))),
inference(paramod,[status(thm)],[c_937,c_27038]) ).
cnf(c_1719,plain,
product(difference(A,one),product(A,product(A,A))) = product(difference(difference(A,one),one),A),
inference(copy,[status(thm)],[c_27039]) ).
cnf(c_1732,plain,
product(A,quotient(one,product(A,product(A,A)))) = product(difference(A,one),quotient(one,A)),
inference(paramod,[status(thm)],[c_1712,c_1436]) ).
cnf(c_1738,plain,
difference(quotient(difference(A,one),A),A) = product(A,product(A,A)),
inference(paramod,[status(thm)],[c_1712,c_612]) ).
cnf(c_27040,plain,
product(quotient(quotient(one,A),A),quotient(one,A)) = product(quotient(one,A),product(quotient(one,A),quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_1712]) ).
cnf(c_27041,plain,
product(quotient(one,product(A,A)),quotient(one,A)) = product(quotient(one,A),product(quotient(one,A),quotient(one,A))),
inference(paramod,[status(thm)],[c_608,c_27040]) ).
cnf(c_27042,plain,
quotient(quotient(one,product(A,A)),A) = product(quotient(one,A),product(quotient(one,A),quotient(one,A))),
inference(paramod,[status(thm)],[c_773,c_27041]) ).
cnf(c_27043,plain,
quotient(quotient(one,product(A,A)),A) = product(quotient(one,A),quotient(difference(A,one),A)),
inference(paramod,[status(thm)],[c_241,c_27042]) ).
cnf(c_1753,plain,
product(quotient(one,A),quotient(difference(A,one),A)) = quotient(quotient(one,product(A,A)),A),
inference(copy,[status(thm)],[c_27043]) ).
cnf(c_27044,plain,
quotient(product(A,product(quotient(product(difference(A,one),product(B,product(A,A))),product(A,A)),A)),A) = difference(A,product(difference(difference(A,one),one),B)),
inference(paramod,[status(thm)],[c_447,c_42]) ).
cnf(c_27045,plain,
quotient(product(A,product(difference(A,quotient(quotient(product(B,product(A,A)),A),A)),A)),A) = difference(A,product(difference(difference(A,one),one),B)),
inference(paramod,[status(thm)],[c_1476,c_27044]) ).
cnf(c_1794,plain,
quotient(product(A,product(difference(A,one),quotient(product(B,product(A,A)),A))),A) = difference(A,product(difference(difference(A,one),one),B)),
inference(paramod,[status(thm)],[c_222,c_27045]) ).
cnf(c_27046,plain,
difference(quotient(A,quotient(one,A)),quotient(one,A)) = product(quotient(one,A),product(quotient(one,A),quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_1738]) ).
cnf(c_27047,plain,
difference(product(A,quotient(A,one)),quotient(one,A)) = product(quotient(one,A),product(quotient(one,A),quotient(one,A))),
inference(paramod,[status(thm)],[c_113,c_27046]) ).
cnf(c_27048,plain,
difference(product(A,A),quotient(one,A)) = product(quotient(one,A),product(quotient(one,A),quotient(one,A))),
inference(paramod,[status(thm)],[c_19,c_27047]) ).
cnf(c_27049,plain,
quotient(one,product(A,product(A,A))) = product(quotient(one,A),product(quotient(one,A),quotient(one,A))),
inference(paramod,[status(thm)],[c_1679,c_27048]) ).
cnf(c_27050,plain,
quotient(one,product(A,product(A,A))) = product(quotient(one,A),quotient(difference(A,one),A)),
inference(paramod,[status(thm)],[c_241,c_27049]) ).
cnf(c_27051,plain,
quotient(one,product(A,product(A,A))) = quotient(quotient(one,product(A,A)),A),
inference(paramod,[status(thm)],[c_1753,c_27050]) ).
cnf(c_1812,plain,
quotient(quotient(one,product(A,A)),A) = quotient(one,product(A,product(A,A))),
inference(copy,[status(thm)],[c_27051]) ).
cnf(c_27052,plain,
quotient(A,quotient(one,B)) = product(quotient(one,B),product(B,product(A,B))),
inference(paramod,[status(thm)],[c_5,c_394]) ).
cnf(c_1826,plain,
product(quotient(one,A),product(A,product(B,A))) = quotient(B,quotient(one,A)),
inference(copy,[status(thm)],[c_27052]) ).
cnf(c_1829,plain,
difference(product(quotient(one,A),product(A,B)),quotient(B,A)) = quotient(one,A),
inference(paramod,[status(thm)],[c_394,c_22]) ).
cnf(c_1832,plain,
difference(quotient(A,B),product(quotient(one,B),product(B,A))) = quotient(quotient(A,B),product(quotient(one,B),quotient(A,B))),
inference(paramod,[status(thm)],[c_394,c_80]) ).
cnf(c_27053,plain,
quotient(difference(A,one),quotient(one,product(A,quotient(one,A)))) = product(quotient(one,product(A,quotient(one,A))),product(product(A,quotient(one,A)),quotient(one,A))),
inference(paramod,[status(thm)],[c_630,c_394]) ).
cnf(c_27054,plain,
quotient(difference(A,one),quotient(one,product(A,quotient(one,A)))) = product(quotient(one,product(A,quotient(one,A))),product(A,quotient(product(quotient(one,A),one),A))),
inference(paramod,[status(thm)],[c_39,c_27053]) ).
cnf(c_27055,plain,
quotient(difference(A,one),quotient(one,product(A,quotient(one,A)))) = product(quotient(one,product(A,quotient(one,A))),product(A,quotient(quotient(one,A),A))),
inference(paramod,[status(thm)],[c_1,c_27054]) ).
cnf(c_27056,plain,
quotient(difference(A,one),quotient(one,product(A,quotient(one,A)))) = product(quotient(one,product(A,quotient(one,A))),product(A,quotient(one,product(A,A)))),
inference(paramod,[status(thm)],[c_608,c_27055]) ).
cnf(c_1848,plain,
quotient(difference(A,one),quotient(one,product(A,quotient(one,A)))) = product(quotient(one,product(A,quotient(one,A))),difference(A,one)),
inference(paramod,[status(thm)],[c_700,c_27056]) ).
cnf(c_27057,plain,
quotient(difference(difference(A,one),one),quotient(one,product(A,quotient(one,A)))) = product(quotient(one,product(A,quotient(one,A))),product(product(A,quotient(one,A)),A)),
inference(paramod,[status(thm)],[c_937,c_394]) ).
cnf(c_1852,plain,
quotient(difference(difference(A,one),one),quotient(one,product(A,quotient(one,A)))) = product(quotient(one,product(A,quotient(one,A))),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_511,c_27057]) ).
cnf(c_27058,plain,
product(difference(A,product(B,C)),B) = difference(difference(B,A),product(C,B)),
inference(paramod,[status(thm)],[c_48,c_6]) ).
cnf(c_1863,plain,
difference(difference(A,B),product(C,A)) = product(difference(B,product(A,C)),A),
inference(copy,[status(thm)],[c_27058]) ).
cnf(c_27059,plain,
quotient(difference(difference(A,B),C),A) = difference(B,product(A,quotient(C,A))),
inference(paramod,[status(thm)],[c_6,c_48]) ).
cnf(c_1864,plain,
difference(A,product(B,quotient(C,B))) = quotient(difference(difference(B,A),C),B),
inference(copy,[status(thm)],[c_27059]) ).
cnf(c_27060,plain,
quotient(difference(difference(product(A,quotient(one,A)),difference(A,one)),product(B,product(A,quotient(one,A)))),product(A,quotient(one,A))) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_34,c_48]) ).
cnf(c_27061,plain,
quotient(difference(quotient(difference(quotient(one,A),quotient(one,A)),A),product(B,product(A,quotient(one,A)))),product(A,quotient(one,A))) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_741,c_27060]) ).
cnf(c_1885,plain,
quotient(difference(quotient(one,A),product(B,product(A,quotient(one,A)))),product(A,quotient(one,A))) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_18,c_27061]) ).
cnf(c_1905,plain,
quotient(difference(product(A,quotient(one,A)),product(B,quotient(A,difference(A,one)))),quotient(A,difference(A,one))) = difference(product(A,A),product(quotient(A,difference(A,one)),B)),
inference(paramod,[status(thm)],[c_1434,c_48]) ).
cnf(c_27062,plain,
quotient(difference(difference(A,difference(A,one)),product(quotient(one,A),B)),A) = quotient(product(A,product(quotient(B,A),difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_1864,c_1099]) ).
cnf(c_1916,plain,
quotient(difference(quotient(one,product(A,A)),product(quotient(one,A),B)),A) = quotient(product(A,product(quotient(B,A),difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_736,c_27062]) ).
cnf(c_1929,plain,
difference(quotient(one,A),product(A,A)) = product(A,product(A,A)),
inference(paramod,[status(thm)],[c_18,c_70]) ).
cnf(c_27063,plain,
product(product(product(A,B),difference(A,one)),quotient(C,A)) = product(A,quotient(product(quotient(product(B,product(A,quotient(one,A))),A),C),A)),
inference(paramod,[status(thm)],[c_43,c_39]) ).
cnf(c_1991,plain,
product(A,quotient(product(quotient(product(B,product(A,quotient(one,A))),A),C),A)) = product(product(product(A,B),difference(A,one)),quotient(C,A)),
inference(copy,[status(thm)],[c_27063]) ).
cnf(c_27064,plain,
quotient(difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),quotient(product(A,A),product(A,quotient(one,A)))) = quotient(product(A,A),product(product(A,quotient(one,A)),product(A,A))),
inference(paramod,[status(thm)],[c_1308,c_86]) ).
cnf(c_27065,plain,
quotient(difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),quotient(A,difference(A,one))) = quotient(product(A,A),product(product(A,quotient(one,A)),product(A,A))),
inference(paramod,[status(thm)],[c_1308,c_27064]) ).
cnf(c_2031,plain,
quotient(difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),quotient(A,difference(A,one))) = difference(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_1435,c_27065]) ).
cnf(c_27066,plain,
quotient(difference(quotient(one,A),product(quotient(one,A),product(A,B))),quotient(quotient(B,A),quotient(one,A))) = quotient(quotient(B,A),product(quotient(one,A),quotient(B,A))),
inference(paramod,[status(thm)],[c_394,c_86]) ).
cnf(c_27067,plain,
quotient(product(A,B),quotient(quotient(B,A),quotient(one,A))) = quotient(quotient(B,A),product(quotient(one,A),quotient(B,A))),
inference(paramod,[status(thm)],[c_4,c_27066]) ).
cnf(c_27068,plain,
quotient(product(A,B),product(quotient(one,A),product(A,B))) = quotient(quotient(B,A),product(quotient(one,A),quotient(B,A))),
inference(paramod,[status(thm)],[c_394,c_27067]) ).
cnf(c_2036,plain,
quotient(quotient(A,B),product(quotient(one,B),quotient(A,B))) = quotient(product(B,A),product(quotient(one,B),product(B,A))),
inference(copy,[status(thm)],[c_27068]) ).
cnf(c_2039,plain,
difference(quotient(A,B),product(quotient(one,B),product(B,A))) = quotient(product(B,A),product(quotient(one,B),product(B,A))),
inference(paramod,[status(thm)],[c_2036,c_1832]) ).
cnf(c_27069,plain,
product(difference(A,B),A) = product(difference(A,C),product(difference(C,B),A)),
inference(paramod,[status(thm)],[c_3,c_88]) ).
cnf(c_2040,plain,
product(difference(A,B),product(difference(B,C),A)) = product(difference(A,C),A),
inference(copy,[status(thm)],[c_27069]) ).
cnf(c_2273,plain,
difference(product(A,quotient(B,A)),difference(difference(A,one),B)) = A,
inference(paramod,[status(thm)],[c_511,c_4]) ).
cnf(c_2274,plain,
quotient(difference(difference(A,one),B),A) = product(A,quotient(B,A)),
inference(paramod,[status(thm)],[c_511,c_5]) ).
cnf(c_27070,plain,
quotient(difference(A,B),quotient(one,A)) = product(quotient(one,A),quotient(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_2274]) ).
cnf(c_2327,plain,
product(quotient(one,A),quotient(B,quotient(one,A))) = quotient(difference(A,B),quotient(one,A)),
inference(copy,[status(thm)],[c_27070]) ).
cnf(c_27071,plain,
difference(quotient(one,A),quotient(difference(A,B),A)) = quotient(product(B,product(quotient(one,A),quotient(one,A))),quotient(one,A)),
inference(paramod,[status(thm)],[c_513,c_7]) ).
cnf(c_27072,plain,
difference(quotient(one,A),quotient(difference(A,B),A)) = quotient(product(B,quotient(difference(A,one),A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_241,c_27071]) ).
cnf(c_2365,plain,
quotient(product(A,quotient(difference(B,one),B)),quotient(one,B)) = difference(quotient(one,B),quotient(difference(B,A),B)),
inference(copy,[status(thm)],[c_27072]) ).
cnf(c_27073,plain,
product(product(A,quotient(one,quotient(one,B))),quotient(one,B)) = quotient(difference(B,quotient(difference(quotient(one,B),A),quotient(one,B))),B),
inference(paramod,[status(thm)],[c_872,c_513]) ).
cnf(c_27074,plain,
product(product(A,quotient(one,quotient(one,B))),quotient(one,B)) = quotient(quotient(product(difference(B,difference(quotient(one,B),A)),B),one),B),
inference(paramod,[status(thm)],[c_1639,c_27073]) ).
cnf(c_27075,plain,
product(product(A,quotient(one,quotient(one,B))),quotient(one,B)) = quotient(product(difference(B,difference(quotient(one,B),A)),B),B),
inference(paramod,[status(thm)],[c_19,c_27074]) ).
cnf(c_2381,plain,
product(product(A,quotient(one,quotient(one,B))),quotient(one,B)) = difference(B,difference(quotient(one,B),A)),
inference(paramod,[status(thm)],[c_5,c_27075]) ).
cnf(c_2398,plain,
difference(quotient(difference(A,one),A),product(quotient(one,A),product(quotient(one,A),B))) = quotient(difference(quotient(one,A),quotient(difference(A,B),A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_2365,c_342]) ).
cnf(c_27076,plain,
product(difference(product(A,B),C),A) = difference(B,product(difference(A,C),A)),
inference(paramod,[status(thm)],[c_49,c_6]) ).
cnf(c_2400,plain,
difference(A,product(difference(B,C),B)) = product(difference(product(B,A),C),B),
inference(copy,[status(thm)],[c_27076]) ).
cnf(c_27077,plain,
quotient(difference(product(A,A),product(difference(quotient(one,A),B),quotient(one,A))),quotient(one,A)) = difference(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_255,c_49]) ).
cnf(c_27078,plain,
quotient(difference(product(A,A),product(A,product(B,quotient(one,A)))),quotient(one,A)) = difference(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_321,c_27077]) ).
cnf(c_27079,plain,
quotient(quotient(difference(A,product(product(B,quotient(one,A)),A)),A),quotient(one,A)) = difference(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_29,c_27078]) ).
cnf(c_27080,plain,
product(quotient(one,A),product(A,difference(A,product(product(B,quotient(one,A)),A)))) = difference(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_394,c_27079]) ).
cnf(c_2411,plain,
product(quotient(one,A),product(product(B,quotient(one,A)),A)) = difference(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_3,c_27080]) ).
cnf(c_27081,plain,
product(A,difference(product(A,A),B)) = product(product(difference(A,B),A),quotient(one,A)),
inference(paramod,[status(thm)],[c_49,c_872]) ).
cnf(c_2421,plain,
product(product(difference(A,B),A),quotient(one,A)) = product(A,difference(product(A,A),B)),
inference(copy,[status(thm)],[c_27081]) ).
cnf(c_27082,plain,
difference(A,product(B,quotient(one,B))) = product(difference(product(B,A),one),B),
inference(paramod,[status(thm)],[c_12,c_2400]) ).
cnf(c_2485,plain,
quotient(difference(difference(A,B),one),A) = product(difference(product(A,B),one),A),
inference(paramod,[status(thm)],[c_1864,c_27082]) ).
cnf(c_27083,plain,
difference(A,product(difference(B,one),C)) = product(difference(product(B,A),quotient(C,B)),B),
inference(paramod,[status(thm)],[c_222,c_2400]) ).
cnf(c_2504,plain,
product(difference(product(A,B),quotient(C,A)),A) = difference(B,product(difference(A,one),C)),
inference(copy,[status(thm)],[c_27083]) ).
cnf(c_2531,plain,
difference(A,product(difference(B,C),product(D,B))) = product(difference(product(B,A),product(C,D)),B),
inference(paramod,[status(thm)],[c_88,c_2400]) ).
cnf(c_27084,plain,
difference(quotient(one,quotient(one,A)),product(A,B)) = quotient(difference(product(A,quotient(one,A)),product(B,A)),A),
inference(paramod,[status(thm)],[c_640,c_29]) ).
cnf(c_2574,plain,
quotient(difference(product(A,quotient(one,A)),product(B,A)),A) = difference(quotient(one,quotient(one,A)),product(A,B)),
inference(copy,[status(thm)],[c_27084]) ).
cnf(c_27085,plain,
quotient(quotient(one,quotient(one,A)),product(product(product(A,quotient(one,A)),A),product(A,quotient(one,A)))) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_640,c_344]) ).
cnf(c_27086,plain,
quotient(quotient(one,quotient(one,A)),product(difference(difference(A,one),one),product(A,quotient(one,A)))) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_511,c_27085]) ).
cnf(c_27087,plain,
quotient(quotient(one,quotient(one,A)),A) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_864,c_27086]) ).
cnf(c_27088,plain,
quotient(A,difference(difference(A,one),one)) = difference(product(A,quotient(one,A)),one),
inference(paramod,[status(thm)],[c_858,c_27087]) ).
cnf(c_27089,plain,
quotient(A,difference(difference(A,one),one)) = quotient(quotient(one,A),difference(A,one)),
inference(paramod,[status(thm)],[c_1046,c_27088]) ).
cnf(c_2583,plain,
quotient(quotient(one,A),difference(A,one)) = quotient(A,difference(difference(A,one),one)),
inference(copy,[status(thm)],[c_27089]) ).
cnf(c_2614,plain,
difference(product(A,quotient(one,A)),one) = quotient(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_2583,c_1046]) ).
cnf(c_2621,plain,
difference(quotient(one,A),difference(A,one)) = quotient(A,difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_2583,c_712]) ).
cnf(c_2622,plain,
product(quotient(one,A),quotient(A,difference(difference(A,one),one))) = difference(A,one),
inference(paramod,[status(thm)],[c_2583,c_704]) ).
cnf(c_27090,plain,
product(difference(quotient(one,A),one),quotient(one,quotient(one,A))) = product(difference(quotient(one,A),quotient(A,difference(A,one))),quotient(one,A)),
inference(paramod,[status(thm)],[c_646,c_298]) ).
cnf(c_27091,plain,
product(A,quotient(one,quotient(one,A))) = product(difference(quotient(one,A),quotient(A,difference(A,one))),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_27090]) ).
cnf(c_27092,plain,
product(A,quotient(one,quotient(one,A))) = product(product(product(A,A),A),quotient(one,A)),
inference(paramod,[status(thm)],[c_1414,c_27091]) ).
cnf(c_2639,plain,
product(product(product(A,A),A),quotient(one,A)) = product(A,quotient(one,quotient(one,A))),
inference(copy,[status(thm)],[c_27092]) ).
cnf(c_27093,plain,
difference(quotient(one,A),product(difference(A,product(difference(A,one),B)),A)) = product(quotient(difference(A,product(B,difference(A,one))),difference(A,one)),A),
inference(paramod,[status(thm)],[c_52,c_2400]) ).
cnf(c_27094,plain,
difference(quotient(one,A),product(difference(A,difference(A,one)),product(B,A))) = product(quotient(difference(A,product(B,difference(A,one))),difference(A,one)),A),
inference(paramod,[status(thm)],[c_88,c_27093]) ).
cnf(c_2696,plain,
difference(quotient(one,A),product(quotient(one,product(A,A)),product(B,A))) = product(quotient(difference(A,product(B,difference(A,one))),difference(A,one)),A),
inference(paramod,[status(thm)],[c_736,c_27094]) ).
cnf(c_27095,plain,
difference(quotient(one,quotient(one,A)),product(B,product(A,quotient(one,A)))) = quotient(product(difference(quotient(one,quotient(one,A)),B),A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_703,c_89]) ).
cnf(c_2735,plain,
quotient(product(difference(quotient(one,quotient(one,A)),B),A),quotient(one,quotient(one,A))) = difference(quotient(one,quotient(one,A)),product(B,product(A,quotient(one,A)))),
inference(copy,[status(thm)],[c_27095]) ).
cnf(c_27096,plain,
difference(quotient(A,product(quotient(one,A),quotient(one,A))),product(difference(quotient(one,A),one),quotient(one,quotient(one,A)))) = quotient(one,A),
inference(paramod,[status(thm)],[c_22,c_791]) ).
cnf(c_27097,plain,
difference(quotient(A,quotient(difference(A,one),A)),product(difference(quotient(one,A),one),quotient(one,quotient(one,A)))) = quotient(one,A),
inference(paramod,[status(thm)],[c_241,c_27096]) ).
cnf(c_27098,plain,
difference(product(A,quotient(A,difference(A,one))),product(difference(quotient(one,A),one),quotient(one,quotient(one,A)))) = quotient(one,A),
inference(paramod,[status(thm)],[c_113,c_27097]) ).
cnf(c_27099,plain,
difference(product(product(A,A),A),product(difference(quotient(one,A),one),quotient(one,quotient(one,A)))) = quotient(one,A),
inference(paramod,[status(thm)],[c_1337,c_27098]) ).
cnf(c_2814,plain,
difference(product(product(A,A),A),product(A,quotient(one,quotient(one,A)))) = quotient(one,A),
inference(paramod,[status(thm)],[c_22,c_27099]) ).
cnf(c_27100,plain,
difference(product(A,B),difference(difference(A,one),C)) = quotient(difference(B,product(quotient(C,A),product(A,A))),A),
inference(paramod,[status(thm)],[c_511,c_57]) ).
cnf(c_3089,plain,
quotient(difference(A,product(quotient(B,C),product(C,C))),C) = difference(product(C,A),difference(difference(C,one),B)),
inference(copy,[status(thm)],[c_27100]) ).
cnf(c_27101,plain,
product(A,quotient(quotient(one,A),B)) = quotient(difference(A,one),quotient(B,A)),
inference(paramod,[status(thm)],[c_6,c_1271]) ).
cnf(c_3140,plain,
quotient(difference(A,one),quotient(B,A)) = product(A,quotient(quotient(one,A),B)),
inference(copy,[status(thm)],[c_27101]) ).
cnf(c_27102,plain,
product(difference(A,one),quotient(quotient(one,difference(A,one)),quotient(one,product(A,A)))) = quotient(difference(difference(A,one),one),quotient(one,A)),
inference(paramod,[status(thm)],[c_146,c_1271]) ).
cnf(c_27103,plain,
product(difference(A,one),quotient(A,quotient(one,product(A,A)))) = quotient(difference(difference(A,one),one),quotient(one,A)),
inference(paramod,[status(thm)],[c_21,c_27102]) ).
cnf(c_27104,plain,
product(difference(A,one),product(A,product(A,A))) = quotient(difference(difference(A,one),one),quotient(one,A)),
inference(paramod,[status(thm)],[c_631,c_27103]) ).
cnf(c_27105,plain,
product(difference(difference(A,one),one),A) = quotient(difference(difference(A,one),one),quotient(one,A)),
inference(paramod,[status(thm)],[c_1719,c_27104]) ).
cnf(c_3152,plain,
quotient(difference(difference(A,one),one),quotient(one,A)) = product(difference(difference(A,one),one),A),
inference(copy,[status(thm)],[c_27105]) ).
cnf(c_27106,plain,
product(A,quotient(difference(A,B),C)) = quotient(product(B,quotient(one,A)),quotient(C,A)),
inference(paramod,[status(thm)],[c_6,c_1287]) ).
cnf(c_3211,plain,
quotient(product(A,quotient(one,B)),quotient(C,B)) = product(B,quotient(difference(B,A),C)),
inference(copy,[status(thm)],[c_27106]) ).
cnf(c_27107,plain,
product(difference(difference(A,one),one),quotient(difference(difference(difference(A,one),one),B),difference(A,one))) = quotient(product(B,quotient(one,difference(difference(A,one),one))),quotient(one,product(A,A))),
inference(paramod,[status(thm)],[c_756,c_1287]) ).
cnf(c_27108,plain,
product(difference(difference(A,one),one),product(difference(A,one),quotient(B,difference(A,one)))) = quotient(product(B,quotient(one,difference(difference(A,one),one))),quotient(one,product(A,A))),
inference(paramod,[status(thm)],[c_2274,c_27107]) ).
cnf(c_27109,plain,
product(difference(difference(A,one),one),product(product(difference(A,one),B),A)) = quotient(product(B,quotient(one,difference(difference(A,one),one))),quotient(one,product(A,A))),
inference(paramod,[status(thm)],[c_959,c_27108]) ).
cnf(c_3309,plain,
product(difference(difference(A,one),one),product(product(difference(A,one),B),A)) = quotient(product(B,difference(A,one)),quotient(one,product(A,A))),
inference(paramod,[status(thm)],[c_21,c_27109]) ).
cnf(c_3334,plain,
difference(quotient(one,A),product(A,product(quotient(difference(A,one),A),B))) = quotient(product(A,quotient(difference(A,B),difference(A,one))),A),
inference(paramod,[status(thm)],[c_3211,c_294]) ).
cnf(c_27110,plain,
quotient(A,quotient(B,C)) = product(C,quotient(product(difference(C,A),C),B)),
inference(paramod,[status(thm)],[c_3,c_1323]) ).
cnf(c_3375,plain,
product(A,quotient(product(difference(A,B),A),C)) = quotient(B,quotient(C,A)),
inference(copy,[status(thm)],[c_27110]) ).
cnf(c_27111,plain,
quotient(product(product(A,B),C),quotient(D,A)) = product(A,quotient(product(quotient(product(B,product(C,A)),A),A),D)),
inference(paramod,[status(thm)],[c_23,c_1323]) ).
cnf(c_3379,plain,
quotient(product(product(A,B),C),quotient(D,A)) = product(A,quotient(product(B,product(C,A)),D)),
inference(paramod,[status(thm)],[c_6,c_27111]) ).
cnf(c_27112,plain,
quotient(product(difference(A,one),product(product(A,A),A)),quotient(B,difference(A,one))) = product(difference(A,one),quotient(product(A,A),B)),
inference(paramod,[status(thm)],[c_128,c_1323]) ).
cnf(c_27113,plain,
quotient(product(difference(A,product(A,A)),A),quotient(B,difference(A,one))) = product(difference(A,one),quotient(product(A,A),B)),
inference(paramod,[status(thm)],[c_298,c_27112]) ).
cnf(c_3436,plain,
quotient(product(A,A),quotient(B,difference(A,one))) = product(difference(A,one),quotient(product(A,A),B)),
inference(paramod,[status(thm)],[c_4,c_27113]) ).
cnf(c_27114,plain,
quotient(product(product(A,quotient(one,A)),A),quotient(B,product(A,quotient(one,A)))) = product(product(A,quotient(one,A)),quotient(quotient(one,quotient(one,A)),B)),
inference(paramod,[status(thm)],[c_640,c_1323]) ).
cnf(c_3444,plain,
quotient(difference(difference(A,one),one),quotient(B,product(A,quotient(one,A)))) = product(product(A,quotient(one,A)),quotient(quotient(one,quotient(one,A)),B)),
inference(paramod,[status(thm)],[c_511,c_27114]) ).
cnf(c_27115,plain,
product(product(A,quotient(one,A)),quotient(quotient(one,quotient(one,A)),one)) = product(quotient(one,product(A,quotient(one,A))),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_3444,c_1852]) ).
cnf(c_27116,plain,
product(product(A,quotient(one,A)),quotient(one,quotient(one,A))) = product(quotient(one,product(A,quotient(one,A))),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_19,c_27115]) ).
cnf(c_27117,plain,
A = product(quotient(one,product(A,quotient(one,A))),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_1039,c_27116]) ).
cnf(c_3479,plain,
product(quotient(one,product(A,quotient(one,A))),difference(difference(A,one),one)) = A,
inference(copy,[status(thm)],[c_27117]) ).
cnf(c_3489,plain,
quotient(difference(A,quotient(B,A)),product(B,difference(A,one))) = difference(A,one),
inference(paramod,[status(thm)],[c_1349,c_5]) ).
cnf(c_3629,plain,
quotient(difference(A,B),product(product(B,A),difference(A,one))) = difference(A,one),
inference(paramod,[status(thm)],[c_5,c_3489]) ).
cnf(c_3706,plain,
quotient(product(A,difference(B,one)),B) = product(quotient(A,B),quotient(one,B)),
inference(paramod,[status(thm)],[c_1469,c_5]) ).
cnf(c_3707,plain,
product(product(A,quotient(one,B)),B) = product(product(A,B),difference(B,one)),
inference(paramod,[status(thm)],[c_5,c_1469]) ).
cnf(c_27118,plain,
product(product(quotient(A,difference(A,one)),quotient(one,difference(A,one))),difference(A,one)) = quotient(A,difference(A,one)),
inference(paramod,[status(thm)],[c_628,c_1469]) ).
cnf(c_27119,plain,
product(product(quotient(A,difference(A,one)),A),difference(A,one)) = quotient(A,difference(A,one)),
inference(paramod,[status(thm)],[c_21,c_27118]) ).
cnf(c_3732,plain,
product(product(A,product(A,A)),difference(A,one)) = quotient(A,difference(A,one)),
inference(paramod,[status(thm)],[c_1712,c_27119]) ).
cnf(c_27120,plain,
product(product(product(A,quotient(B,A)),quotient(one,A)),A) = product(difference(difference(A,one),B),difference(A,one)),
inference(paramod,[status(thm)],[c_2274,c_1469]) ).
cnf(c_27121,plain,
product(product(A,quotient(product(quotient(B,A),one),A)),A) = product(difference(difference(A,one),B),difference(A,one)),
inference(paramod,[status(thm)],[c_39,c_27120]) ).
cnf(c_27122,plain,
product(product(A,quotient(quotient(B,A),A)),A) = product(difference(difference(A,one),B),difference(A,one)),
inference(paramod,[status(thm)],[c_1,c_27121]) ).
cnf(c_27123,plain,
difference(difference(A,one),quotient(B,A)) = product(difference(difference(A,one),B),difference(A,one)),
inference(paramod,[status(thm)],[c_511,c_27122]) ).
cnf(c_3750,plain,
product(difference(difference(A,one),B),difference(A,one)) = difference(difference(A,one),quotient(B,A)),
inference(copy,[status(thm)],[c_27123]) ).
cnf(c_27124,plain,
product(difference(A,one),product(B,difference(difference(A,one),one))) = difference(A,quotient(product(quotient(B,difference(A,one)),quotient(one,difference(A,one))),A)),
inference(paramod,[status(thm)],[c_1469,c_1349]) ).
cnf(c_27125,plain,
product(difference(A,one),product(B,difference(difference(A,one),one))) = difference(A,quotient(product(quotient(B,difference(A,one)),A),A)),
inference(paramod,[status(thm)],[c_21,c_27124]) ).
cnf(c_3761,plain,
product(difference(A,one),product(B,difference(difference(A,one),one))) = difference(A,quotient(B,difference(A,one))),
inference(paramod,[status(thm)],[c_5,c_27125]) ).
cnf(c_3779,plain,
product(quotient(one,A),product(product(B,A),difference(A,one))) = difference(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_3707,c_2411]) ).
cnf(c_27126,plain,
product(product(A,quotient(one,B)),difference(quotient(one,B),one)) = difference(B,difference(quotient(one,B),A)),
inference(paramod,[status(thm)],[c_3707,c_2381]) ).
cnf(c_27127,plain,
product(product(A,quotient(one,B)),B) = difference(B,difference(quotient(one,B),A)),
inference(paramod,[status(thm)],[c_22,c_27126]) ).
cnf(c_27128,plain,
product(product(A,B),difference(B,one)) = difference(B,difference(quotient(one,B),A)),
inference(paramod,[status(thm)],[c_3707,c_27127]) ).
cnf(c_3782,plain,
difference(A,difference(quotient(one,A),B)) = product(product(B,A),difference(A,one)),
inference(copy,[status(thm)],[c_27128]) ).
cnf(c_3784,plain,
difference(difference(A,one),difference(A,B)) = product(product(B,A),difference(A,one)),
inference(paramod,[status(thm)],[c_3707,c_922]) ).
cnf(c_27129,plain,
quotient(difference(difference(difference(A,one),one),B),A) = product(quotient(product(difference(A,one),quotient(B,difference(A,one))),A),quotient(one,A)),
inference(paramod,[status(thm)],[c_511,c_3706]) ).
cnf(c_27130,plain,
quotient(difference(difference(difference(A,one),one),B),A) = product(quotient(product(product(difference(A,one),B),A),A),quotient(one,A)),
inference(paramod,[status(thm)],[c_959,c_27129]) ).
cnf(c_3868,plain,
quotient(difference(difference(difference(A,one),one),B),A) = product(product(difference(A,one),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_5,c_27130]) ).
cnf(c_27131,plain,
product(product(difference(A,one),product(B,A)),quotient(one,A)) = difference(quotient(A,difference(A,one)),product(A,B)),
inference(paramod,[status(thm)],[c_3868,c_942]) ).
cnf(c_27132,plain,
product(product(difference(A,B),A),quotient(one,A)) = difference(quotient(A,difference(A,one)),product(A,B)),
inference(paramod,[status(thm)],[c_298,c_27131]) ).
cnf(c_27133,plain,
product(A,difference(product(A,A),B)) = difference(quotient(A,difference(A,one)),product(A,B)),
inference(paramod,[status(thm)],[c_2421,c_27132]) ).
cnf(c_3881,plain,
difference(quotient(A,difference(A,one)),product(A,B)) = product(A,difference(product(A,A),B)),
inference(copy,[status(thm)],[c_27133]) ).
cnf(c_27134,plain,
difference(difference(A,one),B) = product(product(product(A,B),A),difference(A,one)),
inference(paramod,[status(thm)],[c_4,c_3784]) ).
cnf(c_3947,plain,
product(product(product(A,B),A),difference(A,one)) = difference(difference(A,one),B),
inference(copy,[status(thm)],[c_27134]) ).
cnf(c_27135,plain,
difference(A,product(quotient(one,A),product(A,B))) = quotient(product(difference(A,quotient(B,A)),A),one),
inference(paramod,[status(thm)],[c_394,c_1639]) ).
cnf(c_27136,plain,
difference(A,product(quotient(one,A),product(A,B))) = quotient(product(difference(A,one),B),one),
inference(paramod,[status(thm)],[c_222,c_27135]) ).
cnf(c_4326,plain,
difference(A,product(quotient(one,A),product(A,B))) = product(difference(A,one),B),
inference(paramod,[status(thm)],[c_19,c_27136]) ).
cnf(c_27137,plain,
difference(product(A,A),quotient(one,quotient(difference(A,one),A))) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_1305,c_1679]) ).
cnf(c_4417,plain,
difference(product(A,A),quotient(A,difference(A,one))) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_641,c_27137]) ).
cnf(c_4424,plain,
quotient(difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),quotient(A,difference(A,one))) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_4417,c_2031]) ).
cnf(c_27138,plain,
difference(product(quotient(one,difference(A,one)),product(difference(A,B),A)),quotient(product(B,A),difference(A,one))) = quotient(one,difference(A,one)),
inference(paramod,[status(thm)],[c_298,c_1829]) ).
cnf(c_27139,plain,
difference(product(A,product(difference(A,B),A)),quotient(product(B,A),difference(A,one))) = quotient(one,difference(A,one)),
inference(paramod,[status(thm)],[c_21,c_27138]) ).
cnf(c_4563,plain,
difference(product(A,product(difference(A,B),A)),quotient(product(B,A),difference(A,one))) = A,
inference(paramod,[status(thm)],[c_21,c_27139]) ).
cnf(c_27140,plain,
difference(product(quotient(one,product(A,quotient(one,A))),product(product(A,quotient(one,A)),A)),difference(difference(A,one),one)) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_937,c_1829]) ).
cnf(c_27141,plain,
difference(product(quotient(one,product(A,quotient(one,A))),difference(difference(A,one),one)),difference(difference(A,one),one)) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_511,c_27140]) ).
cnf(c_27142,plain,
difference(A,difference(difference(A,one),one)) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_3479,c_27141]) ).
cnf(c_27143,plain,
quotient(A,difference(difference(A,one),one)) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_865,c_27142]) ).
cnf(c_4574,plain,
quotient(one,product(A,quotient(one,A))) = quotient(A,difference(difference(A,one),one)),
inference(copy,[status(thm)],[c_27143]) ).
cnf(c_4612,plain,
difference(quotient(difference(A,one),A),product(B,A)) = product(difference(quotient(one,A),product(A,B)),A),
inference(paramod,[status(thm)],[c_220,c_1863]) ).
cnf(c_27144,plain,
difference(difference(A,B),product(difference(A,one),C)) = product(difference(B,product(A,difference(A,quotient(C,A)))),A),
inference(paramod,[status(thm)],[c_222,c_1863]) ).
cnf(c_4618,plain,
difference(difference(A,B),product(difference(A,one),C)) = product(difference(B,quotient(C,A)),A),
inference(paramod,[status(thm)],[c_3,c_27144]) ).
cnf(c_27145,plain,
product(A,product(difference(B,C),quotient(B,A))) = product(difference(quotient(B,A),C),quotient(B,A)),
inference(paramod,[status(thm)],[c_22,c_2040]) ).
cnf(c_4833,plain,
product(difference(quotient(A,B),C),quotient(A,B)) = product(B,product(difference(A,C),quotient(A,B))),
inference(copy,[status(thm)],[c_27145]) ).
cnf(c_27146,plain,
product(difference(product(A,quotient(one,A)),A),quotient(one,A)) = product(difference(product(A,quotient(one,A)),one),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_667,c_2040]) ).
cnf(c_27147,plain,
product(quotient(difference(quotient(one,A),A),A),quotient(one,A)) = product(difference(product(A,quotient(one,A)),one),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_47,c_27146]) ).
cnf(c_27148,plain,
product(quotient(quotient(A,difference(A,one)),A),quotient(one,A)) = product(difference(product(A,quotient(one,A)),one),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_579,c_27147]) ).
cnf(c_27149,plain,
product(product(A,product(difference(A,one),A)),quotient(one,A)) = product(difference(product(A,quotient(one,A)),one),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_279,c_27148]) ).
cnf(c_27150,plain,
product(product(A,product(A,quotient(one,A))),quotient(one,A)) = product(difference(product(A,quotient(one,A)),one),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_12,c_27149]) ).
cnf(c_27151,plain,
product(quotient(one,quotient(one,A)),quotient(one,A)) = product(difference(product(A,quotient(one,A)),one),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_640,c_27150]) ).
cnf(c_27152,plain,
one = product(difference(product(A,quotient(one,A)),one),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_6,c_27151]) ).
cnf(c_27153,plain,
one = product(quotient(A,difference(difference(A,one),one)),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_2614,c_27152]) ).
cnf(c_4871,plain,
product(quotient(A,difference(difference(A,one),one)),product(A,quotient(one,A))) = one,
inference(copy,[status(thm)],[c_27153]) ).
cnf(c_27154,plain,
quotient(difference(difference(A,one),one),quotient(one,A)) = product(difference(product(quotient(one,A),quotient(one,product(A,A))),one),quotient(one,A)),
inference(paramod,[status(thm)],[c_151,c_2485]) ).
cnf(c_27155,plain,
product(difference(difference(A,one),one),A) = product(difference(product(quotient(one,A),quotient(one,product(A,A))),one),quotient(one,A)),
inference(paramod,[status(thm)],[c_3152,c_27154]) ).
cnf(c_27156,plain,
product(difference(difference(A,one),one),A) = product(difference(quotient(one,product(product(A,A),A)),one),quotient(one,A)),
inference(paramod,[status(thm)],[c_1537,c_27155]) ).
cnf(c_27157,plain,
product(difference(difference(A,one),one),A) = product(product(product(A,A),A),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_27156]) ).
cnf(c_5181,plain,
product(difference(difference(A,one),one),A) = product(A,quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_2639,c_27157]) ).
cnf(c_27158,plain,
product(difference(difference(A,one),quotient(B,A)),A) = difference(quotient(one,product(A,A)),product(difference(A,one),B)),
inference(paramod,[status(thm)],[c_700,c_2504]) ).
cnf(c_5336,plain,
difference(quotient(one,product(A,A)),product(difference(A,one),B)) = product(difference(difference(A,one),quotient(B,A)),A),
inference(copy,[status(thm)],[c_27158]) ).
cnf(c_27159,plain,
product(difference(product(A,quotient(one,B)),quotient(C,B)),B) = difference(quotient(difference(B,A),B),product(difference(B,one),C)),
inference(paramod,[status(thm)],[c_872,c_2504]) ).
cnf(c_5338,plain,
difference(quotient(difference(A,B),A),product(difference(A,one),C)) = product(difference(product(B,quotient(one,A)),quotient(C,A)),A),
inference(copy,[status(thm)],[c_27159]) ).
cnf(c_27160,plain,
product(difference(quotient(one,quotient(one,A)),quotient(B,A)),A) = difference(product(A,quotient(one,A)),product(difference(A,one),B)),
inference(paramod,[status(thm)],[c_640,c_2504]) ).
cnf(c_27161,plain,
product(difference(quotient(one,quotient(one,A)),quotient(B,A)),A) = quotient(difference(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_52,c_27160]) ).
cnf(c_5381,plain,
quotient(difference(A,product(B,difference(A,one))),difference(A,one)) = product(difference(quotient(one,quotient(one,A)),quotient(B,A)),A),
inference(copy,[status(thm)],[c_27161]) ).
cnf(c_27162,plain,
product(difference(product(one,quotient(one,A)),quotient(B,A)),A) = product(product(A,product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_5338,c_534]) ).
cnf(c_5429,plain,
product(difference(quotient(one,A),quotient(B,A)),A) = product(product(A,product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_2,c_27162]) ).
cnf(c_5441,plain,
difference(quotient(one,A),product(quotient(one,product(A,A)),product(B,A))) = product(product(difference(quotient(one,quotient(one,A)),quotient(B,A)),A),A),
inference(paramod,[status(thm)],[c_5381,c_2696]) ).
cnf(c_5450,plain,
quotient(product(quotient(one,A),product(B,product(A,quotient(one,A)))),product(A,quotient(one,A))) = product(difference(quotient(one,quotient(one,A)),quotient(B,A)),A),
inference(paramod,[status(thm)],[c_5381,c_706]) ).
cnf(c_5451,plain,
difference(product(A,quotient(one,A)),product(difference(A,one),B)) = product(difference(quotient(one,quotient(one,A)),quotient(B,A)),A),
inference(paramod,[status(thm)],[c_5381,c_52]) ).
cnf(c_27163,plain,
product(quotient(A,difference(difference(A,one),one)),product(A,quotient(one,A))) = product(product(A,quotient(one,A)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_2614,c_12]) ).
cnf(c_27164,plain,
one = product(product(A,quotient(one,A)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_4871,c_27163]) ).
cnf(c_5454,plain,
product(product(A,quotient(one,A)),quotient(one,product(A,quotient(one,A)))) = one,
inference(copy,[status(thm)],[c_27164]) ).
cnf(c_27165,plain,
difference(quotient(A,difference(difference(A,one),one)),product(product(product(A,quotient(one,A)),quotient(one,product(A,quotient(one,A)))),B)) = quotient(product(product(A,quotient(one,A)),product(B,difference(product(A,quotient(one,A)),one))),difference(product(A,quotient(one,A)),one)),
inference(paramod,[status(thm)],[c_2614,c_34]) ).
cnf(c_27166,plain,
difference(quotient(A,difference(difference(A,one),one)),product(one,B)) = quotient(product(product(A,quotient(one,A)),product(B,difference(product(A,quotient(one,A)),one))),difference(product(A,quotient(one,A)),one)),
inference(paramod,[status(thm)],[c_5454,c_27165]) ).
cnf(c_27167,plain,
difference(quotient(A,difference(difference(A,one),one)),B) = quotient(product(product(A,quotient(one,A)),product(B,difference(product(A,quotient(one,A)),one))),difference(product(A,quotient(one,A)),one)),
inference(paramod,[status(thm)],[c_2,c_27166]) ).
cnf(c_27168,plain,
difference(quotient(A,difference(difference(A,one),one)),B) = quotient(product(product(A,quotient(one,A)),product(B,quotient(A,difference(difference(A,one),one)))),difference(product(A,quotient(one,A)),one)),
inference(paramod,[status(thm)],[c_2614,c_27167]) ).
cnf(c_27169,plain,
difference(quotient(A,difference(difference(A,one),one)),B) = quotient(product(product(A,quotient(one,A)),product(B,quotient(A,difference(difference(A,one),one)))),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_2614,c_27168]) ).
cnf(c_5468,plain,
quotient(product(product(A,quotient(one,A)),product(B,quotient(A,difference(difference(A,one),one)))),quotient(A,difference(difference(A,one),one))) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(copy,[status(thm)],[c_27169]) ).
cnf(c_27170,plain,
difference(quotient(A,difference(difference(A,one),one)),product(B,product(A,quotient(one,A)))) = product(difference(one,product(product(A,quotient(one,A)),B)),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_2614,c_1863]) ).
cnf(c_5516,plain,
difference(quotient(A,difference(difference(A,one),one)),product(B,product(A,quotient(one,A)))) = product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_17,c_27170]) ).
cnf(c_27171,plain,
quotient(product(A,quotient(B,A)),product(quotient(difference(C,B),A),product(A,quotient(B,A)))) = quotient(difference(quotient(B,A),product(C,A)),A),
inference(paramod,[status(thm)],[c_6,c_83]) ).
cnf(c_5621,plain,
product(A,quotient(B,product(product(quotient(difference(C,B),A),product(A,quotient(B,A))),A))) = quotient(difference(quotient(B,A),product(C,A)),A),
inference(paramod,[status(thm)],[c_1177,c_27171]) ).
cnf(c_27172,plain,
quotient(product(A,B),product(quotient(one,A),product(A,B))) = quotient(difference(B,product(product(B,A),A)),A),
inference(paramod,[status(thm)],[c_18,c_83]) ).
cnf(c_5624,plain,
quotient(product(A,B),product(quotient(one,A),product(A,B))) = quotient(quotient(product(A,product(A,B)),B),A),
inference(paramod,[status(thm)],[c_7,c_27172]) ).
cnf(c_5702,plain,
difference(quotient(A,B),product(quotient(one,B),product(B,A))) = quotient(quotient(product(B,product(B,A)),A),B),
inference(paramod,[status(thm)],[c_5624,c_2039]) ).
cnf(c_27173,plain,
quotient(difference(quotient(one,A),B),product(product(B,quotient(one,A)),A)) = difference(quotient(one,A),one),
inference(paramod,[status(thm)],[c_22,c_3629]) ).
cnf(c_27174,plain,
quotient(difference(quotient(one,A),B),product(product(B,A),difference(A,one))) = difference(quotient(one,A),one),
inference(paramod,[status(thm)],[c_3707,c_27173]) ).
cnf(c_5707,plain,
quotient(difference(quotient(one,A),B),product(product(B,A),difference(A,one))) = A,
inference(paramod,[status(thm)],[c_22,c_27174]) ).
cnf(c_27175,plain,
difference(quotient(A,difference(A,one)),B) = product(A,difference(product(A,A),difference(A,B))),
inference(paramod,[status(thm)],[c_3,c_3881]) ).
cnf(c_5757,plain,
product(A,difference(product(A,A),difference(A,B))) = difference(quotient(A,difference(A,one)),B),
inference(copy,[status(thm)],[c_27175]) ).
cnf(c_27176,plain,
difference(quotient(quotient(one,A),A),product(quotient(one,A),B)) = product(quotient(one,A),difference(product(quotient(one,A),quotient(one,A)),B)),
inference(paramod,[status(thm)],[c_22,c_3881]) ).
cnf(c_27177,plain,
difference(quotient(one,product(A,A)),product(quotient(one,A),B)) = product(quotient(one,A),difference(product(quotient(one,A),quotient(one,A)),B)),
inference(paramod,[status(thm)],[c_608,c_27176]) ).
cnf(c_5760,plain,
difference(quotient(one,product(A,A)),product(quotient(one,A),B)) = product(quotient(one,A),difference(quotient(difference(A,one),A),B)),
inference(paramod,[status(thm)],[c_241,c_27177]) ).
cnf(c_27178,plain,
difference(quotient(difference(A,one),difference(difference(A,one),one)),product(difference(A,one),B)) = product(difference(A,one),difference(quotient(difference(A,one),A),B)),
inference(paramod,[status(thm)],[c_371,c_3881]) ).
cnf(c_27179,plain,
difference(quotient(one,product(A,A)),product(difference(A,one),B)) = product(difference(A,one),difference(quotient(difference(A,one),A),B)),
inference(paramod,[status(thm)],[c_757,c_27178]) ).
cnf(c_27180,plain,
product(difference(difference(A,one),quotient(B,A)),A) = product(difference(A,one),difference(quotient(difference(A,one),A),B)),
inference(paramod,[status(thm)],[c_5336,c_27179]) ).
cnf(c_5774,plain,
product(difference(A,one),difference(quotient(difference(A,one),A),B)) = product(difference(difference(A,one),quotient(B,A)),A),
inference(copy,[status(thm)],[c_27180]) ).
cnf(c_27181,plain,
product(A,difference(product(A,A),quotient(B,A))) = quotient(difference(difference(A,quotient(A,difference(A,one))),B),A),
inference(paramod,[status(thm)],[c_3881,c_1864]) ).
cnf(c_27182,plain,
product(A,difference(product(A,A),quotient(B,A))) = quotient(difference(quotient(A,product(difference(A,one),A)),B),A),
inference(paramod,[status(thm)],[c_80,c_27181]) ).
cnf(c_27183,plain,
product(A,difference(product(A,A),quotient(B,A))) = quotient(difference(quotient(A,product(A,quotient(one,A))),B),A),
inference(paramod,[status(thm)],[c_12,c_27182]) ).
cnf(c_27184,plain,
product(A,difference(product(A,A),quotient(B,A))) = quotient(difference(difference(difference(A,one),one),B),A),
inference(paramod,[status(thm)],[c_937,c_27183]) ).
cnf(c_27185,plain,
product(A,difference(product(A,A),quotient(B,A))) = product(product(difference(A,one),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_3868,c_27184]) ).
cnf(c_5825,plain,
product(product(difference(A,one),B),quotient(one,A)) = product(A,difference(product(A,A),quotient(B,A))),
inference(copy,[status(thm)],[c_27185]) ).
cnf(c_5839,plain,
quotient(product(quotient(one,A),difference(quotient(difference(A,one),A),B)),A) = quotient(product(A,product(quotient(B,A),difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_5760,c_1916]) ).
cnf(c_27186,plain,
product(quotient(one,A),difference(quotient(difference(A,one),A),product(difference(A,one),B))) = quotient(quotient(product(B,quotient(one,product(A,A))),difference(A,one)),quotient(one,A)),
inference(paramod,[status(thm)],[c_5760,c_292]) ).
cnf(c_27187,plain,
product(quotient(one,A),product(difference(product(one,quotient(one,A)),quotient(B,A)),A)) = quotient(quotient(product(B,quotient(one,product(A,A))),difference(A,one)),quotient(one,A)),
inference(paramod,[status(thm)],[c_5338,c_27186]) ).
cnf(c_27188,plain,
product(quotient(one,A),product(difference(quotient(one,A),quotient(B,A)),A)) = quotient(quotient(product(B,quotient(one,product(A,A))),difference(A,one)),quotient(one,A)),
inference(paramod,[status(thm)],[c_2,c_27187]) ).
cnf(c_27189,plain,
product(quotient(one,A),product(product(A,product(B,difference(A,one))),A)) = quotient(quotient(product(B,quotient(one,product(A,A))),difference(A,one)),quotient(one,A)),
inference(paramod,[status(thm)],[c_5429,c_27188]) ).
cnf(c_5841,plain,
quotient(quotient(product(A,quotient(one,product(B,B))),difference(B,one)),quotient(one,B)) = product(quotient(one,B),product(product(B,product(A,difference(B,one))),B)),
inference(copy,[status(thm)],[c_27189]) ).
cnf(c_27190,plain,
product(A,product(difference(A,one),B)) = product(quotient(one,A),product(A,B)),
inference(paramod,[status(thm)],[c_4326,c_3]) ).
cnf(c_5844,plain,
product(quotient(one,A),product(A,B)) = product(A,product(difference(A,one),B)),
inference(copy,[status(thm)],[c_27190]) ).
cnf(c_5845,plain,
difference(A,product(quotient(one,A),B)) = product(difference(A,one),difference(A,B)),
inference(paramod,[status(thm)],[c_3,c_4326]) ).
cnf(c_5846,plain,
difference(difference(A,one),product(A,product(difference(A,one),B))) = product(difference(difference(A,one),one),B),
inference(paramod,[status(thm)],[c_21,c_4326]) ).
cnf(c_27191,plain,
quotient(product(product(quotient(one,A),product(A,B)),A),product(A,product(product(quotient(one,A),product(A,B)),A))) = quotient(product(difference(A,one),B),product(quotient(one,A),product(A,B))),
inference(paramod,[status(thm)],[c_4326,c_77]) ).
cnf(c_27192,plain,
quotient(product(product(A,product(difference(A,one),B)),A),product(A,product(product(quotient(one,A),product(A,B)),A))) = quotient(product(difference(A,one),B),product(quotient(one,A),product(A,B))),
inference(paramod,[status(thm)],[c_5844,c_27191]) ).
cnf(c_27193,plain,
quotient(quotient(B,difference(A,one)),product(A,product(product(quotient(one,A),product(A,B)),A))) = quotient(product(difference(A,one),B),product(quotient(one,A),product(A,B))),
inference(paramod,[status(thm)],[c_512,c_27192]) ).
cnf(c_27194,plain,
quotient(quotient(B,difference(A,one)),product(A,product(product(A,product(difference(A,one),B)),A))) = quotient(product(difference(A,one),B),product(quotient(one,A),product(A,B))),
inference(paramod,[status(thm)],[c_5844,c_27193]) ).
cnf(c_27195,plain,
quotient(quotient(B,difference(A,one)),product(A,quotient(B,difference(A,one)))) = quotient(product(difference(A,one),B),product(quotient(one,A),product(A,B))),
inference(paramod,[status(thm)],[c_512,c_27194]) ).
cnf(c_27196,plain,
quotient(quotient(B,difference(A,one)),product(A,quotient(B,difference(A,one)))) = quotient(product(difference(A,one),B),product(A,product(difference(A,one),B))),
inference(paramod,[status(thm)],[c_5844,c_27195]) ).
cnf(c_5855,plain,
quotient(quotient(A,difference(B,one)),product(B,quotient(A,difference(B,one)))) = difference(product(difference(B,one),A),difference(B,quotient(A,B))),
inference(paramod,[status(thm)],[c_226,c_27196]) ).
cnf(c_27197,plain,
difference(quotient(A,B),product(B,product(difference(B,one),A))) = quotient(quotient(product(B,product(B,A)),A),B),
inference(paramod,[status(thm)],[c_5844,c_5702]) ).
cnf(c_5868,plain,
quotient(product(A,quotient(B,product(difference(A,one),B))),A) = quotient(quotient(product(A,product(A,B)),B),A),
inference(paramod,[status(thm)],[c_1239,c_27197]) ).
cnf(c_27198,plain,
product(A,product(difference(A,one),product(B,A))) = quotient(B,quotient(one,A)),
inference(paramod,[status(thm)],[c_5844,c_1826]) ).
cnf(c_5919,plain,
product(A,product(difference(A,B),A)) = quotient(B,quotient(one,A)),
inference(paramod,[status(thm)],[c_298,c_27198]) ).
cnf(c_5920,plain,
quotient(quotient(A,B),quotient(one,B)) = product(B,product(difference(B,one),A)),
inference(paramod,[status(thm)],[c_5844,c_394]) ).
cnf(c_5951,plain,
difference(quotient(A,quotient(one,B)),quotient(product(A,B),difference(B,one))) = B,
inference(paramod,[status(thm)],[c_5919,c_4563]) ).
cnf(c_5957,plain,
product(A,product(difference(A,one),difference(A,B))) = product(quotient(one,A),B),
inference(paramod,[status(thm)],[c_5845,c_3]) ).
cnf(c_27199,plain,
difference(difference(A,one),product(A,B)) = product(difference(difference(A,one),one),difference(difference(A,one),B)),
inference(paramod,[status(thm)],[c_21,c_5845]) ).
cnf(c_5959,plain,
product(difference(difference(A,one),one),difference(difference(A,one),B)) = difference(difference(A,one),product(A,B)),
inference(copy,[status(thm)],[c_27199]) ).
cnf(c_27200,plain,
product(difference(A,one),difference(A,quotient(B,A))) = quotient(product(difference(A,quotient(one,A)),B),A),
inference(paramod,[status(thm)],[c_5845,c_89]) ).
cnf(c_27201,plain,
product(difference(A,one),difference(A,quotient(B,A))) = quotient(product(quotient(difference(A,one),A),B),A),
inference(paramod,[status(thm)],[c_220,c_27200]) ).
cnf(c_5963,plain,
quotient(product(quotient(difference(A,one),A),B),A) = product(difference(A,one),difference(A,quotient(B,A))),
inference(copy,[status(thm)],[c_27201]) ).
cnf(c_6179,plain,
quotient(product(quotient(one,product(A,quotient(one,A))),product(B,product(A,A))),product(A,A)) = difference(product(A,A),product(quotient(A,difference(A,one)),B)),
inference(paramod,[status(thm)],[c_4417,c_24]) ).
cnf(c_27202,plain,
quotient(product(product(A,quotient(one,A)),B),quotient(A,difference(difference(A,one),one))) = product(product(A,quotient(one,A)),quotient(product(B,product(A,quotient(one,A))),one)),
inference(paramod,[status(thm)],[c_4574,c_1323]) ).
cnf(c_6260,plain,
quotient(product(product(A,quotient(one,A)),B),quotient(A,difference(difference(A,one),one))) = product(product(A,quotient(one,A)),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_19,c_27202]) ).
cnf(c_6284,plain,
product(product(A,quotient(one,A)),product(product(B,quotient(A,difference(difference(A,one),one))),product(A,quotient(one,A)))) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_6260,c_5468]) ).
cnf(c_6286,plain,
product(A,product(product(B,A),difference(A,one))) = difference(quotient(one,A),B),
inference(paramod,[status(thm)],[c_5707,c_6]) ).
cnf(c_6287,plain,
quotient(difference(quotient(one,A),quotient(B,A)),product(B,difference(A,one))) = A,
inference(paramod,[status(thm)],[c_6,c_5707]) ).
cnf(c_27203,plain,
product(A,product(B,difference(A,one))) = difference(quotient(one,A),quotient(B,A)),
inference(paramod,[status(thm)],[c_6287,c_6]) ).
cnf(c_6355,plain,
difference(quotient(one,A),quotient(B,A)) = product(A,product(B,difference(A,one))),
inference(copy,[status(thm)],[c_27203]) ).
cnf(c_27204,plain,
difference(quotient(difference(A,one),A),product(quotient(one,A),product(quotient(one,A),B))) = quotient(product(A,product(difference(A,B),difference(A,one))),quotient(one,A)),
inference(paramod,[status(thm)],[c_6355,c_2398]) ).
cnf(c_27205,plain,
difference(quotient(difference(A,one),A),product(quotient(one,A),product(quotient(one,A),B))) = product(A,quotient(product(product(difference(A,B),difference(A,one)),A),one)),
inference(paramod,[status(thm)],[c_1323,c_27204]) ).
cnf(c_6380,plain,
difference(quotient(difference(A,one),A),product(quotient(one,A),product(quotient(one,A),B))) = product(A,product(product(difference(A,B),difference(A,one)),A)),
inference(paramod,[status(thm)],[c_19,c_27205]) ).
cnf(c_27206,plain,
difference(A,quotient(A,quotient(one,B))) = quotient(quotient(product(B,A),difference(B,A)),B),
inference(paramod,[status(thm)],[c_5919,c_28]) ).
cnf(c_27207,plain,
quotient(A,product(quotient(one,B),A)) = quotient(quotient(product(B,A),difference(B,A)),B),
inference(paramod,[status(thm)],[c_80,c_27206]) ).
cnf(c_6400,plain,
quotient(quotient(product(A,B),difference(A,B)),A) = quotient(B,product(quotient(one,A),B)),
inference(copy,[status(thm)],[c_27207]) ).
cnf(c_6429,plain,
product(A,product(difference(A,B),product(C,A))) = quotient(product(B,C),quotient(one,A)),
inference(paramod,[status(thm)],[c_88,c_5919]) ).
cnf(c_27208,plain,
product(product(A,quotient(one,A)),product(difference(product(A,quotient(one,A)),B),product(A,quotient(one,A)))) = quotient(B,quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_4574,c_5919]) ).
cnf(c_6479,plain,
quotient(A,quotient(one,product(B,quotient(one,B)))) = quotient(A,quotient(B,difference(difference(B,one),one))),
inference(paramod,[status(thm)],[c_5919,c_27208]) ).
cnf(c_27209,plain,
product(quotient(A,quotient(one,B)),B) = quotient(product(A,B),difference(B,one)),
inference(paramod,[status(thm)],[c_5951,c_3]) ).
cnf(c_6522,plain,
quotient(product(A,B),difference(B,one)) = product(quotient(A,quotient(one,B)),B),
inference(copy,[status(thm)],[c_27209]) ).
cnf(c_27210,plain,
quotient(product(product(product(A,B),difference(B,one)),product(difference(B,one),quotient(one,difference(B,one)))),difference(B,one)) = difference(difference(B,one),product(difference(B,A),difference(difference(B,one),one))),
inference(paramod,[status(thm)],[c_3784,c_90]) ).
cnf(c_27211,plain,
quotient(product(product(product(A,B),difference(B,one)),product(difference(B,one),B)),difference(B,one)) = difference(difference(B,one),product(difference(B,A),difference(difference(B,one),one))),
inference(paramod,[status(thm)],[c_21,c_27210]) ).
cnf(c_27212,plain,
quotient(product(product(product(A,B),difference(B,one)),product(B,quotient(one,B))),difference(B,one)) = difference(difference(B,one),product(difference(B,A),difference(difference(B,one),one))),
inference(paramod,[status(thm)],[c_12,c_27211]) ).
cnf(c_27213,plain,
quotient(product(product(product(A,B),difference(B,one)),product(B,quotient(one,B))),difference(B,one)) = product(product(A,quotient(difference(difference(B,one),one),B)),B),
inference(paramod,[status(thm)],[c_503,c_27212]) ).
cnf(c_27214,plain,
quotient(product(product(product(A,B),difference(B,one)),product(B,quotient(one,B))),difference(B,one)) = product(product(A,product(difference(product(B,one),one),B)),B),
inference(paramod,[status(thm)],[c_2485,c_27213]) ).
cnf(c_27215,plain,
quotient(product(product(product(A,B),difference(B,one)),product(B,quotient(one,B))),difference(B,one)) = product(product(A,product(difference(B,one),B)),B),
inference(paramod,[status(thm)],[c_1,c_27214]) ).
cnf(c_6612,plain,
quotient(product(product(product(A,B),difference(B,one)),product(B,quotient(one,B))),difference(B,one)) = product(product(A,product(B,quotient(one,B))),B),
inference(paramod,[status(thm)],[c_12,c_27215]) ).
cnf(c_6633,plain,
product(A,product(difference(A,one),quotient(product(B,product(C,A)),A))) = product(quotient(one,A),product(product(A,B),C)),
inference(paramod,[status(thm)],[c_7,c_5957]) ).
cnf(c_27216,plain,
product(quotient(one,A),product(A,difference(quotient(one,A),B))) = product(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_22,c_5957]) ).
cnf(c_6634,plain,
product(A,product(difference(A,one),difference(quotient(one,A),B))) = product(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_5844,c_27216]) ).
cnf(c_27217,plain,
product(difference(product(quotient(one,A),B),quotient(C,A)),A) = difference(product(difference(A,one),difference(A,B)),product(difference(A,one),C)),
inference(paramod,[status(thm)],[c_5957,c_2504]) ).
cnf(c_27218,plain,
product(difference(product(quotient(one,A),B),quotient(C,A)),A) = quotient(difference(difference(A,B),product(C,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_29,c_27217]) ).
cnf(c_6706,plain,
quotient(difference(difference(A,B),product(C,difference(A,one))),difference(A,one)) = product(difference(product(quotient(one,A),B),quotient(C,A)),A),
inference(copy,[status(thm)],[c_27218]) ).
cnf(c_27219,plain,
difference(A,product(quotient(one,quotient(one,A)),B)) = product(difference(A,one),difference(A,product(difference(quotient(one,A),one),difference(quotient(one,A),B)))),
inference(paramod,[status(thm)],[c_5957,c_5845]) ).
cnf(c_27220,plain,
difference(A,product(quotient(one,quotient(one,A)),B)) = product(difference(A,one),difference(A,product(A,difference(quotient(one,A),B)))),
inference(paramod,[status(thm)],[c_22,c_27219]) ).
cnf(c_6712,plain,
difference(A,product(quotient(one,quotient(one,A)),B)) = product(difference(A,one),difference(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_4,c_27220]) ).
cnf(c_6717,plain,
quotient(product(quotient(one,A),product(product(A,B),A)),A) = difference(A,product(difference(difference(A,one),one),B)),
inference(paramod,[status(thm)],[c_6633,c_1794]) ).
cnf(c_6726,plain,
quotient(product(product(A,quotient(one,A)),product(B,A)),A) = product(difference(A,one),difference(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_6712,c_1038]) ).
cnf(c_27221,plain,
product(quotient(one,A),quotient(product(A,product(B,difference(A,one))),quotient(one,A))) = product(quotient(B,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_6355,c_872]) ).
cnf(c_27222,plain,
product(quotient(one,A),product(A,quotient(product(product(B,difference(A,one)),A),one))) = product(quotient(B,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_1323,c_27221]) ).
cnf(c_27223,plain,
product(quotient(one,A),product(A,product(product(B,difference(A,one)),A))) = product(quotient(B,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_19,c_27222]) ).
cnf(c_27224,plain,
product(A,product(difference(A,one),product(product(B,difference(A,one)),A))) = product(quotient(B,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_5844,c_27223]) ).
cnf(c_27225,plain,
product(A,product(difference(A,product(B,difference(A,one))),A)) = product(quotient(B,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_298,c_27224]) ).
cnf(c_27226,plain,
product(A,product(difference(A,B),product(difference(A,one),A))) = product(quotient(B,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_88,c_27225]) ).
cnf(c_6740,plain,
product(A,product(difference(A,B),product(A,quotient(one,A)))) = product(quotient(B,A),quotient(one,quotient(one,A))),
inference(paramod,[status(thm)],[c_12,c_27226]) ).
cnf(c_27227,plain,
product(difference(difference(A,one),product(quotient(B,quotient(one,A)),A)),difference(A,one)) = product(difference(difference(A,one),one),product(B,A)),
inference(paramod,[status(thm)],[c_6522,c_222]) ).
cnf(c_27228,plain,
product(product(difference(one,product(A,quotient(B,quotient(one,A)))),A),difference(A,one)) = product(difference(difference(A,one),one),product(B,A)),
inference(paramod,[status(thm)],[c_1863,c_27227]) ).
cnf(c_27229,plain,
product(product(product(A,quotient(B,quotient(one,A))),A),difference(A,one)) = product(difference(difference(A,one),one),product(B,A)),
inference(paramod,[status(thm)],[c_17,c_27228]) ).
cnf(c_6855,plain,
difference(difference(A,one),quotient(B,quotient(one,A))) = product(difference(difference(A,one),one),product(B,A)),
inference(paramod,[status(thm)],[c_3947,c_27229]) ).
cnf(c_27230,plain,
difference(quotient(difference(A,product(quotient(one,quotient(one,A)),A)),A),product(A,A)) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_338,c_75]) ).
cnf(c_27231,plain,
difference(quotient(difference(A,quotient(A,difference(A,one))),A),product(A,A)) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_643,c_27230]) ).
cnf(c_27232,plain,
difference(quotient(quotient(A,product(difference(A,one),A)),A),product(A,A)) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_80,c_27231]) ).
cnf(c_27233,plain,
difference(quotient(quotient(A,product(A,quotient(one,A))),A),product(A,A)) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_12,c_27232]) ).
cnf(c_27234,plain,
difference(quotient(difference(difference(A,one),one),A),product(A,A)) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_937,c_27233]) ).
cnf(c_27235,plain,
difference(product(difference(product(A,one),one),A),product(A,A)) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_2485,c_27234]) ).
cnf(c_27236,plain,
difference(product(difference(A,one),A),product(A,A)) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_1,c_27235]) ).
cnf(c_27237,plain,
difference(product(A,quotient(one,A)),product(A,A)) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_12,c_27236]) ).
cnf(c_27238,plain,
quotient(difference(quotient(one,A),product(A,A)),A) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_29,c_27237]) ).
cnf(c_27239,plain,
quotient(product(A,product(A,A)),A) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_1929,c_27238]) ).
cnf(c_27240,plain,
quotient(A,difference(A,one)) = product(quotient(quotient(one,quotient(one,A)),A),product(A,A)),
inference(paramod,[status(thm)],[c_1462,c_27239]) ).
cnf(c_27241,plain,
quotient(A,difference(A,one)) = product(quotient(A,difference(difference(A,one),one)),product(A,A)),
inference(paramod,[status(thm)],[c_858,c_27240]) ).
cnf(c_7145,plain,
product(quotient(A,difference(difference(A,one),one)),product(A,A)) = quotient(A,difference(A,one)),
inference(copy,[status(thm)],[c_27241]) ).
cnf(c_27242,plain,
difference(difference(difference(A,one),one),product(B,difference(difference(A,one),one))) = quotient(product(difference(difference(difference(A,one),one),B),product(A,A)),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_455,c_89]) ).
cnf(c_7191,plain,
quotient(product(difference(difference(difference(A,one),one),B),product(A,A)),difference(difference(A,one),one)) = difference(difference(difference(A,one),one),product(B,difference(difference(A,one),one))),
inference(copy,[status(thm)],[c_27242]) ).
cnf(c_27243,plain,
quotient(difference(quotient(A,difference(difference(A,one),one)),B),difference(product(A,quotient(one,A)),one)) = product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_2614,c_517]) ).
cnf(c_7244,plain,
quotient(difference(quotient(A,difference(difference(A,one),one)),B),quotient(A,difference(difference(A,one),one))) = product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_2614,c_27243]) ).
cnf(c_27244,plain,
quotient(difference(difference(A,one),product(difference(A,one),difference(A,B))),difference(A,one)) = product(product(quotient(one,A),B),A),
inference(paramod,[status(thm)],[c_5957,c_517]) ).
cnf(c_7245,plain,
quotient(difference(A,B),difference(A,one)) = product(product(quotient(one,A),B),A),
inference(paramod,[status(thm)],[c_4,c_27244]) ).
cnf(c_27245,plain,
product(product(quotient(one,A),product(B,difference(A,one))),A) = product(difference(quotient(one,quotient(one,A)),quotient(B,A)),A),
inference(paramod,[status(thm)],[c_7245,c_5381]) ).
cnf(c_7250,plain,
product(difference(quotient(one,quotient(one,A)),quotient(B,A)),A) = product(product(quotient(one,A),product(B,difference(A,one))),A),
inference(copy,[status(thm)],[c_27245]) ).
cnf(c_7258,plain,
difference(quotient(one,A),product(A,product(quotient(difference(A,one),A),B))) = quotient(product(A,product(product(quotient(one,A),B),A)),A),
inference(paramod,[status(thm)],[c_7245,c_3334]) ).
cnf(c_7264,plain,
difference(difference(A,one),product(quotient(difference(A,one),A),B)) = product(product(quotient(one,A),quotient(B,A)),A),
inference(paramod,[status(thm)],[c_7245,c_1415]) ).
cnf(c_7270,plain,
difference(product(A,quotient(one,A)),product(difference(A,one),B)) = product(product(quotient(one,A),product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_7250,c_5451]) ).
cnf(c_7271,plain,
quotient(product(quotient(one,A),product(B,product(A,quotient(one,A)))),product(A,quotient(one,A))) = product(product(quotient(one,A),product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_7250,c_5450]) ).
cnf(c_7277,plain,
difference(quotient(one,A),product(quotient(one,product(A,A)),product(B,A))) = product(product(product(quotient(one,A),product(B,difference(A,one))),A),A),
inference(paramod,[status(thm)],[c_7250,c_5441]) ).
cnf(c_27246,plain,
difference(A,difference(B,product(quotient(B,A),C))) = quotient(product(difference(A,quotient(product(difference(A,C),B),A)),A),B),
inference(paramod,[status(thm)],[c_98,c_1639]) ).
cnf(c_27247,plain,
difference(A,difference(B,product(quotient(B,A),C))) = quotient(product(difference(A,one),product(difference(A,C),B)),B),
inference(paramod,[status(thm)],[c_222,c_27246]) ).
cnf(c_7337,plain,
quotient(product(difference(A,one),product(difference(A,B),C)),C) = difference(A,difference(C,product(quotient(C,A),B))),
inference(copy,[status(thm)],[c_27247]) ).
cnf(c_27248,plain,
quotient(quotient(product(difference(difference(difference(A,one),one),B),product(A,A)),difference(difference(A,one),one)),difference(difference(A,one),one)) = difference(product(A,A),product(quotient(product(A,A),difference(difference(A,one),one)),B)),
inference(paramod,[status(thm)],[c_455,c_98]) ).
cnf(c_27249,plain,
quotient(difference(difference(difference(A,one),one),product(B,difference(difference(A,one),one))),difference(difference(A,one),one)) = difference(product(A,A),product(quotient(product(A,A),difference(difference(A,one),one)),B)),
inference(paramod,[status(thm)],[c_7191,c_27248]) ).
cnf(c_27250,plain,
product(difference(product(quotient(one,difference(A,one)),one),quotient(B,difference(A,one))),difference(A,one)) = difference(product(A,A),product(quotient(product(A,A),difference(difference(A,one),one)),B)),
inference(paramod,[status(thm)],[c_6706,c_27249]) ).
cnf(c_27251,plain,
product(difference(product(A,one),quotient(B,difference(A,one))),difference(A,one)) = difference(product(A,A),product(quotient(product(A,A),difference(difference(A,one),one)),B)),
inference(paramod,[status(thm)],[c_21,c_27250]) ).
cnf(c_27252,plain,
product(difference(A,quotient(B,difference(A,one))),difference(A,one)) = difference(product(A,A),product(quotient(product(A,A),difference(difference(A,one),one)),B)),
inference(paramod,[status(thm)],[c_1,c_27251]) ).
cnf(c_27253,plain,
product(difference(A,quotient(B,difference(A,one))),difference(A,one)) = difference(product(A,A),product(difference(difference(A,one),one),B)),
inference(paramod,[status(thm)],[c_455,c_27252]) ).
cnf(c_7364,plain,
difference(product(A,A),product(difference(difference(A,one),one),B)) = product(difference(A,quotient(B,difference(A,one))),difference(A,one)),
inference(copy,[status(thm)],[c_27253]) ).
cnf(c_27254,plain,
product(difference(A,quotient(B,difference(A,one))),difference(A,one)) = difference(A,quotient(quotient(product(B,product(A,A)),A),A)),
inference(paramod,[status(thm)],[c_7364,c_1516]) ).
cnf(c_7371,plain,
difference(A,quotient(quotient(product(B,product(A,A)),A),A)) = product(difference(A,quotient(B,difference(A,one))),difference(A,one)),
inference(copy,[status(thm)],[c_27254]) ).
cnf(c_27255,plain,
product(difference(difference(A,one),product(product(quotient(one,A),B),A)),difference(A,one)) = product(difference(difference(A,one),one),difference(A,B)),
inference(paramod,[status(thm)],[c_7245,c_222]) ).
cnf(c_27256,plain,
product(product(difference(one,product(A,product(quotient(one,A),B))),A),difference(A,one)) = product(difference(difference(A,one),one),difference(A,B)),
inference(paramod,[status(thm)],[c_1863,c_27255]) ).
cnf(c_27257,plain,
product(product(product(A,product(quotient(one,A),B)),A),difference(A,one)) = product(difference(difference(A,one),one),difference(A,B)),
inference(paramod,[status(thm)],[c_17,c_27256]) ).
cnf(c_7386,plain,
difference(difference(A,one),product(quotient(one,A),B)) = product(difference(difference(A,one),one),difference(A,B)),
inference(paramod,[status(thm)],[c_3947,c_27257]) ).
cnf(c_27258,plain,
quotient(difference(A,product(difference(quotient(one,A),B),quotient(one,A))),difference(A,one)) = product(quotient(B,quotient(one,quotient(one,A))),A),
inference(paramod,[status(thm)],[c_5919,c_7245]) ).
cnf(c_27259,plain,
quotient(difference(A,product(A,product(difference(one,B),quotient(one,A)))),difference(A,one)) = product(quotient(B,quotient(one,quotient(one,A))),A),
inference(paramod,[status(thm)],[c_4833,c_27258]) ).
cnf(c_27260,plain,
quotient(difference(A,product(A,product(B,quotient(one,A)))),difference(A,one)) = product(quotient(B,quotient(one,quotient(one,A))),A),
inference(paramod,[status(thm)],[c_17,c_27259]) ).
cnf(c_7430,plain,
quotient(product(A,quotient(one,B)),difference(B,one)) = product(quotient(A,quotient(one,quotient(one,B))),B),
inference(paramod,[status(thm)],[c_4,c_27260]) ).
cnf(c_27261,plain,
quotient(difference(A,product(difference(quotient(one,A),one),difference(quotient(one,A),B))),difference(A,one)) = product(product(quotient(one,quotient(one,A)),B),A),
inference(paramod,[status(thm)],[c_5957,c_7245]) ).
cnf(c_27262,plain,
quotient(difference(A,product(A,difference(quotient(one,A),B))),difference(A,one)) = product(product(quotient(one,quotient(one,A)),B),A),
inference(paramod,[status(thm)],[c_22,c_27261]) ).
cnf(c_7431,plain,
quotient(difference(quotient(one,A),B),difference(A,one)) = product(product(quotient(one,quotient(one,A)),B),A),
inference(paramod,[status(thm)],[c_4,c_27262]) ).
cnf(c_27263,plain,
difference(quotient(one,A),quotient(product(A,quotient(B,A)),quotient(one,A))) = product(A,difference(difference(A,one),B)),
inference(paramod,[status(thm)],[c_511,c_1408]) ).
cnf(c_27264,plain,
difference(quotient(one,A),product(A,quotient(product(quotient(B,A),A),one))) = product(A,difference(difference(A,one),B)),
inference(paramod,[status(thm)],[c_1323,c_27263]) ).
cnf(c_27265,plain,
difference(quotient(one,A),product(A,quotient(B,one))) = product(A,difference(difference(A,one),B)),
inference(paramod,[status(thm)],[c_6,c_27264]) ).
cnf(c_7691,plain,
difference(quotient(one,A),product(A,B)) = product(A,difference(difference(A,one),B)),
inference(paramod,[status(thm)],[c_19,c_27265]) ).
cnf(c_7706,plain,
difference(quotient(A,difference(difference(A,one),one)),quotient(B,quotient(one,product(A,quotient(one,A))))) = product(product(A,quotient(one,A)),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_4574,c_1408]) ).
cnf(c_27266,plain,
product(A,difference(difference(A,one),product(quotient(difference(A,one),A),B))) = quotient(product(A,product(product(quotient(one,A),B),A)),A),
inference(paramod,[status(thm)],[c_7691,c_7258]) ).
cnf(c_27267,plain,
product(A,product(product(quotient(one,A),quotient(B,A)),A)) = quotient(product(A,product(product(quotient(one,A),B),A)),A),
inference(paramod,[status(thm)],[c_7264,c_27266]) ).
cnf(c_7717,plain,
quotient(product(A,product(product(quotient(one,A),B),A)),A) = product(A,product(product(quotient(one,A),quotient(B,A)),A)),
inference(copy,[status(thm)],[c_27267]) ).
cnf(c_7728,plain,
difference(quotient(difference(A,one),A),product(B,A)) = product(product(A,difference(difference(A,one),B)),A),
inference(paramod,[status(thm)],[c_7691,c_4612]) ).
cnf(c_27268,plain,
product(product(A,difference(difference(A,one),B)),quotient(one,A)) = product(difference(quotient(one,A),A),product(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_7691,c_88]) ).
cnf(c_27269,plain,
product(A,quotient(product(difference(difference(A,one),B),one),A)) = product(difference(quotient(one,A),A),product(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_39,c_27268]) ).
cnf(c_27270,plain,
product(A,quotient(difference(difference(A,one),B),A)) = product(difference(quotient(one,A),A),product(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_1,c_27269]) ).
cnf(c_27271,plain,
product(A,product(A,quotient(B,A))) = product(difference(quotient(one,A),A),product(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_2274,c_27270]) ).
cnf(c_27272,plain,
product(A,product(A,quotient(B,A))) = product(quotient(A,difference(A,one)),product(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_579,c_27271]) ).
cnf(c_7865,plain,
product(quotient(A,difference(A,one)),product(B,quotient(one,A))) = product(A,product(A,quotient(B,A))),
inference(copy,[status(thm)],[c_27272]) ).
cnf(c_27273,plain,
quotient(product(product(A,difference(difference(A,one),B)),product(quotient(one,A),quotient(one,quotient(one,A)))),quotient(one,A)) = difference(quotient(one,A),product(product(A,B),difference(quotient(one,A),one))),
inference(paramod,[status(thm)],[c_7691,c_90]) ).
cnf(c_27274,plain,
quotient(product(product(A,difference(difference(A,one),B)),quotient(difference(A,one),quotient(one,A))),quotient(one,A)) = difference(quotient(one,A),product(product(A,B),difference(quotient(one,A),one))),
inference(paramod,[status(thm)],[c_2327,c_27273]) ).
cnf(c_27275,plain,
quotient(product(product(A,difference(difference(A,one),B)),product(A,quotient(quotient(one,A),one))),quotient(one,A)) = difference(quotient(one,A),product(product(A,B),difference(quotient(one,A),one))),
inference(paramod,[status(thm)],[c_3140,c_27274]) ).
cnf(c_27276,plain,
quotient(product(product(A,difference(difference(A,one),B)),product(A,quotient(one,A))),quotient(one,A)) = difference(quotient(one,A),product(product(A,B),difference(quotient(one,A),one))),
inference(paramod,[status(thm)],[c_19,c_27275]) ).
cnf(c_27277,plain,
product(A,quotient(product(difference(difference(A,one),B),product(product(A,quotient(one,A)),A)),one)) = difference(quotient(one,A),product(product(A,B),difference(quotient(one,A),one))),
inference(paramod,[status(thm)],[c_3379,c_27276]) ).
cnf(c_27278,plain,
product(A,quotient(product(difference(difference(A,one),B),difference(difference(A,one),one)),one)) = difference(quotient(one,A),product(product(A,B),difference(quotient(one,A),one))),
inference(paramod,[status(thm)],[c_511,c_27277]) ).
cnf(c_27279,plain,
product(A,product(difference(difference(A,one),B),difference(difference(A,one),one))) = difference(quotient(one,A),product(product(A,B),difference(quotient(one,A),one))),
inference(paramod,[status(thm)],[c_19,c_27278]) ).
cnf(c_7888,plain,
product(A,product(difference(difference(A,one),B),difference(difference(A,one),one))) = difference(quotient(one,A),product(product(A,B),A)),
inference(paramod,[status(thm)],[c_22,c_27279]) ).
cnf(c_27280,plain,
product(quotient(A,product(B,B)),B) = product(difference(B,one),product(B,quotient(A,B))),
inference(paramod,[status(thm)],[c_6,c_1474]) ).
cnf(c_7990,plain,
product(difference(A,one),product(A,quotient(B,A))) = product(quotient(B,product(A,A)),A),
inference(copy,[status(thm)],[c_27280]) ).
cnf(c_27281,plain,
product(quotient(product(quotient(difference(A,B),A),A),product(A,A)),A) = product(difference(A,one),product(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_872,c_1474]) ).
cnf(c_8015,plain,
product(quotient(difference(A,B),product(A,A)),A) = product(difference(A,one),product(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_6,c_27281]) ).
cnf(c_27282,plain,
product(quotient(product(quotient(A,difference(B,one)),difference(B,one)),product(difference(B,one),difference(B,one))),difference(B,one)) = product(difference(difference(B,one),one),product(product(difference(B,one),A),B)),
inference(paramod,[status(thm)],[c_959,c_1474]) ).
cnf(c_27283,plain,
product(quotient(A,product(difference(B,one),difference(B,one))),difference(B,one)) = product(difference(difference(B,one),one),product(product(difference(B,one),A),B)),
inference(paramod,[status(thm)],[c_6,c_27282]) ).
cnf(c_27284,plain,
product(quotient(A,quotient(difference(B,one),B)),difference(B,one)) = product(difference(difference(B,one),one),product(product(difference(B,one),A),B)),
inference(paramod,[status(thm)],[c_371,c_27283]) ).
cnf(c_27285,plain,
product(quotient(A,quotient(difference(B,one),B)),difference(B,one)) = quotient(product(A,difference(B,one)),quotient(one,product(B,B))),
inference(paramod,[status(thm)],[c_3309,c_27284]) ).
cnf(c_8084,plain,
quotient(product(A,difference(B,one)),quotient(one,product(B,B))) = product(quotient(A,quotient(difference(B,one),B)),difference(B,one)),
inference(copy,[status(thm)],[c_27285]) ).
cnf(c_27286,plain,
quotient(product(difference(product(A,A),difference(difference(A,one),B)),A),product(A,A)) = product(difference(product(difference(A,one),product(A,A)),B),difference(A,one)),
inference(paramod,[status(thm)],[c_2400,c_111]) ).
cnf(c_27287,plain,
difference(product(A,A),product(difference(difference(A,one),B),difference(A,one))) = product(difference(product(difference(A,one),product(A,A)),B),difference(A,one)),
inference(paramod,[status(thm)],[c_111,c_27286]) ).
cnf(c_27288,plain,
difference(product(A,A),difference(difference(A,one),quotient(B,A))) = product(difference(product(difference(A,one),product(A,A)),B),difference(A,one)),
inference(paramod,[status(thm)],[c_3750,c_27287]) ).
cnf(c_27289,plain,
difference(product(A,A),difference(difference(A,one),quotient(B,A))) = product(difference(product(difference(A,A),A),B),difference(A,one)),
inference(paramod,[status(thm)],[c_298,c_27288]) ).
cnf(c_27290,plain,
difference(product(A,A),difference(difference(A,one),quotient(B,A))) = product(difference(product(one,A),B),difference(A,one)),
inference(paramod,[status(thm)],[c_18,c_27289]) ).
cnf(c_8596,plain,
difference(product(A,A),difference(difference(A,one),quotient(B,A))) = product(difference(A,B),difference(A,one)),
inference(paramod,[status(thm)],[c_2,c_27290]) ).
cnf(c_27291,plain,
quotient(product(A,quotient(one,difference(B,one))),quotient(B,difference(B,one))) = product(difference(B,one),product(B,quotient(A,B))),
inference(paramod,[status(thm)],[c_2274,c_3211]) ).
cnf(c_27292,plain,
quotient(product(A,B),quotient(B,difference(B,one))) = product(difference(B,one),product(B,quotient(A,B))),
inference(paramod,[status(thm)],[c_21,c_27291]) ).
cnf(c_9544,plain,
quotient(product(A,B),quotient(B,difference(B,one))) = product(quotient(A,product(B,B)),B),
inference(paramod,[status(thm)],[c_7990,c_27292]) ).
cnf(c_27293,plain,
quotient(product(A,quotient(one,product(B,quotient(one,B)))),quotient(B,difference(difference(B,one),one))) = product(product(B,quotient(one,B)),quotient(difference(product(B,quotient(one,B)),A),one)),
inference(paramod,[status(thm)],[c_4574,c_3211]) ).
cnf(c_27294,plain,
quotient(product(A,quotient(one,product(B,quotient(one,B)))),quotient(B,difference(difference(B,one),one))) = product(product(B,quotient(one,B)),difference(product(B,quotient(one,B)),A)),
inference(paramod,[status(thm)],[c_19,c_27293]) ).
cnf(c_9566,plain,
quotient(product(A,quotient(one,product(B,quotient(one,B)))),quotient(B,difference(difference(B,one),one))) = A,
inference(paramod,[status(thm)],[c_3,c_27294]) ).
cnf(c_27295,plain,
quotient(product(A,quotient(one,difference(difference(B,one),one))),quotient(one,product(B,quotient(one,B)))) = product(difference(difference(B,one),one),quotient(difference(difference(difference(B,one),one),A),B)),
inference(paramod,[status(thm)],[c_4574,c_3211]) ).
cnf(c_27296,plain,
quotient(product(A,difference(B,one)),quotient(one,product(B,quotient(one,B)))) = product(difference(difference(B,one),one),quotient(difference(difference(difference(B,one),one),A),B)),
inference(paramod,[status(thm)],[c_21,c_27295]) ).
cnf(c_27297,plain,
quotient(product(A,difference(B,one)),quotient(one,product(B,quotient(one,B)))) = product(difference(difference(B,one),one),product(product(difference(B,one),A),quotient(one,B))),
inference(paramod,[status(thm)],[c_3868,c_27296]) ).
cnf(c_9567,plain,
product(difference(difference(A,one),one),product(product(difference(A,one),B),quotient(one,A))) = quotient(product(B,difference(A,one)),quotient(one,product(A,quotient(one,A)))),
inference(copy,[status(thm)],[c_27297]) ).
cnf(c_27298,plain,
product(product(A,quotient(B,difference(difference(B,one),one))),product(B,quotient(one,B))) = product(product(A,product(B,quotient(one,B))),difference(product(B,quotient(one,B)),one)),
inference(paramod,[status(thm)],[c_4574,c_3707]) ).
cnf(c_9794,plain,
product(product(A,quotient(B,difference(difference(B,one),one))),product(B,quotient(one,B))) = product(product(A,product(B,quotient(one,B))),quotient(B,difference(difference(B,one),one))),
inference(paramod,[status(thm)],[c_2614,c_27298]) ).
cnf(c_9824,plain,
product(product(A,quotient(one,A)),product(product(B,product(A,quotient(one,A))),quotient(A,difference(difference(A,one),one)))) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_9794,c_6284]) ).
cnf(c_27299,plain,
quotient(product(difference(product(A,A),product(A,product(A,A))),A),product(A,A)) = difference(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_3732,c_111]) ).
cnf(c_27300,plain,
quotient(product(quotient(difference(A,product(product(A,A),A)),A),A),product(A,A)) = difference(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_29,c_27299]) ).
cnf(c_27301,plain,
quotient(product(quotient(quotient(product(A,product(A,A)),A),A),A),product(A,A)) = difference(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_7,c_27300]) ).
cnf(c_27302,plain,
quotient(product(quotient(quotient(A,difference(A,one)),A),A),product(A,A)) = difference(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_1462,c_27301]) ).
cnf(c_27303,plain,
quotient(product(product(A,product(difference(A,one),A)),A),product(A,A)) = difference(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_279,c_27302]) ).
cnf(c_27304,plain,
quotient(product(product(A,product(A,quotient(one,A))),A),product(A,A)) = difference(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_12,c_27303]) ).
cnf(c_27305,plain,
quotient(product(quotient(one,quotient(one,A)),A),product(A,A)) = difference(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_640,c_27304]) ).
cnf(c_27306,plain,
quotient(quotient(A,difference(A,one)),product(A,A)) = difference(product(A,A),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_643,c_27305]) ).
cnf(c_9864,plain,
quotient(quotient(A,difference(A,one)),product(A,A)) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_4417,c_27306]) ).
cnf(c_27307,plain,
difference(difference(difference(A,one),product(A,A)),product(difference(difference(A,one),one),A)) = product(quotient(one,product(A,quotient(one,A))),difference(A,one)),
inference(paramod,[status(thm)],[c_4417,c_4618]) ).
cnf(c_27308,plain,
difference(product(difference(one,product(A,A)),A),product(difference(difference(A,one),one),A)) = product(quotient(one,product(A,quotient(one,A))),difference(A,one)),
inference(paramod,[status(thm)],[c_1863,c_27307]) ).
cnf(c_27309,plain,
difference(product(product(A,A),A),product(difference(difference(A,one),one),A)) = product(quotient(one,product(A,quotient(one,A))),difference(A,one)),
inference(paramod,[status(thm)],[c_17,c_27308]) ).
cnf(c_27310,plain,
difference(product(product(A,A),A),product(A,quotient(one,quotient(one,A)))) = product(quotient(one,product(A,quotient(one,A))),difference(A,one)),
inference(paramod,[status(thm)],[c_5181,c_27309]) ).
cnf(c_27311,plain,
quotient(one,A) = product(quotient(one,product(A,quotient(one,A))),difference(A,one)),
inference(paramod,[status(thm)],[c_2814,c_27310]) ).
cnf(c_10463,plain,
product(quotient(one,product(A,quotient(one,A))),difference(A,one)) = quotient(one,A),
inference(copy,[status(thm)],[c_27311]) ).
cnf(c_27312,plain,
difference(quotient(A,difference(difference(A,one),one)),product(difference(quotient(one,A),one),B)) = product(difference(difference(A,one),quotient(B,quotient(one,A))),quotient(one,A)),
inference(paramod,[status(thm)],[c_2621,c_4618]) ).
cnf(c_27313,plain,
difference(quotient(A,difference(difference(A,one),one)),product(A,B)) = product(difference(difference(A,one),quotient(B,quotient(one,A))),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_27312]) ).
cnf(c_27314,plain,
difference(quotient(A,difference(difference(A,one),one)),product(A,B)) = product(product(difference(difference(A,one),one),product(B,A)),quotient(one,A)),
inference(paramod,[status(thm)],[c_6855,c_27313]) ).
cnf(c_10486,plain,
product(product(difference(difference(A,one),one),product(B,A)),quotient(one,A)) = difference(quotient(A,difference(difference(A,one),one)),product(A,B)),
inference(copy,[status(thm)],[c_27314]) ).
cnf(c_10514,plain,
quotient(difference(A,one),quotient(one,product(A,quotient(one,A)))) = quotient(one,A),
inference(paramod,[status(thm)],[c_10463,c_1848]) ).
cnf(c_27315,plain,
difference(product(product(A,B),C),product(product(A,B),quotient(one,A))) = quotient(difference(C,product(A,product(difference(A,one),B))),product(A,B)),
inference(paramod,[status(thm)],[c_5844,c_29]) ).
cnf(c_27316,plain,
difference(product(product(A,B),C),product(A,quotient(product(B,one),A))) = quotient(difference(C,product(A,product(difference(A,one),B))),product(A,B)),
inference(paramod,[status(thm)],[c_39,c_27315]) ).
cnf(c_27317,plain,
difference(product(product(A,B),C),product(A,quotient(B,A))) = quotient(difference(C,product(A,product(difference(A,one),B))),product(A,B)),
inference(paramod,[status(thm)],[c_1,c_27316]) ).
cnf(c_27318,plain,
quotient(difference(difference(A,product(product(A,B),C)),B),A) = quotient(difference(C,product(A,product(difference(A,one),B))),product(A,B)),
inference(paramod,[status(thm)],[c_1864,c_27317]) ).
cnf(c_27319,plain,
quotient(difference(quotient(product(B,product(C,A)),A),B),A) = quotient(difference(C,product(A,product(difference(A,one),B))),product(A,B)),
inference(paramod,[status(thm)],[c_7,c_27318]) ).
cnf(c_10799,plain,
quotient(difference(A,product(B,product(difference(B,one),C))),product(B,C)) = quotient(difference(quotient(product(C,product(A,B)),B),C),B),
inference(copy,[status(thm)],[c_27319]) ).
cnf(c_27320,plain,
quotient(product(product(A,B),quotient(one,A)),product(quotient(difference(C,product(A,product(difference(A,one),B))),product(A,B)),product(product(A,B),quotient(one,A)))) = quotient(difference(quotient(one,A),product(C,product(A,B))),product(A,B)),
inference(paramod,[status(thm)],[c_5844,c_83]) ).
cnf(c_27321,plain,
quotient(product(A,quotient(product(B,one),A)),product(quotient(difference(C,product(A,product(difference(A,one),B))),product(A,B)),product(product(A,B),quotient(one,A)))) = quotient(difference(quotient(one,A),product(C,product(A,B))),product(A,B)),
inference(paramod,[status(thm)],[c_39,c_27320]) ).
cnf(c_27322,plain,
quotient(product(A,quotient(B,A)),product(quotient(difference(C,product(A,product(difference(A,one),B))),product(A,B)),product(product(A,B),quotient(one,A)))) = quotient(difference(quotient(one,A),product(C,product(A,B))),product(A,B)),
inference(paramod,[status(thm)],[c_1,c_27321]) ).
cnf(c_27323,plain,
quotient(product(A,quotient(B,A)),product(quotient(difference(quotient(product(B,product(C,A)),A),B),A),product(product(A,B),quotient(one,A)))) = quotient(difference(quotient(one,A),product(C,product(A,B))),product(A,B)),
inference(paramod,[status(thm)],[c_10799,c_27322]) ).
cnf(c_27324,plain,
quotient(product(A,quotient(B,A)),product(quotient(difference(quotient(product(B,product(C,A)),A),B),A),product(A,quotient(product(B,one),A)))) = quotient(difference(quotient(one,A),product(C,product(A,B))),product(A,B)),
inference(paramod,[status(thm)],[c_39,c_27323]) ).
cnf(c_27325,plain,
quotient(product(A,quotient(B,A)),product(quotient(difference(quotient(product(B,product(C,A)),A),B),A),product(A,quotient(B,A)))) = quotient(difference(quotient(one,A),product(C,product(A,B))),product(A,B)),
inference(paramod,[status(thm)],[c_1,c_27324]) ).
cnf(c_27326,plain,
product(A,quotient(B,product(product(quotient(difference(quotient(product(B,product(C,A)),A),B),A),product(A,quotient(B,A))),A))) = quotient(difference(quotient(one,A),product(C,product(A,B))),product(A,B)),
inference(paramod,[status(thm)],[c_1177,c_27325]) ).
cnf(c_27327,plain,
quotient(difference(quotient(B,A),product(quotient(product(B,product(C,A)),A),A)),A) = quotient(difference(quotient(one,A),product(C,product(A,B))),product(A,B)),
inference(paramod,[status(thm)],[c_5621,c_27326]) ).
cnf(c_27328,plain,
quotient(difference(quotient(B,A),product(B,product(C,A))),A) = quotient(difference(quotient(one,A),product(C,product(A,B))),product(A,B)),
inference(paramod,[status(thm)],[c_6,c_27327]) ).
cnf(c_10849,plain,
quotient(difference(quotient(one,A),product(B,product(A,C))),product(A,C)) = quotient(difference(quotient(C,A),product(C,product(B,A))),A),
inference(copy,[status(thm)],[c_27328]) ).
cnf(c_27329,plain,
quotient(difference(quotient(quotient(one,A),A),product(quotient(one,A),product(B,A))),A) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_10849,c_1885]) ).
cnf(c_27330,plain,
quotient(difference(quotient(one,product(A,A)),product(quotient(one,A),product(B,A))),A) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_608,c_27329]) ).
cnf(c_27331,plain,
quotient(product(quotient(one,A),difference(quotient(difference(A,one),A),product(B,A))),A) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_5760,c_27330]) ).
cnf(c_27332,plain,
quotient(product(quotient(one,A),product(product(A,difference(difference(A,one),B)),A)),A) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_7728,c_27331]) ).
cnf(c_27333,plain,
difference(A,product(difference(difference(A,one),one),difference(difference(A,one),B))) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_6717,c_27332]) ).
cnf(c_27334,plain,
difference(A,difference(difference(A,one),product(A,B))) = quotient(product(A,product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_5959,c_27333]) ).
cnf(c_10884,plain,
quotient(product(A,product(B,difference(A,one))),difference(A,one)) = difference(A,difference(difference(A,one),product(A,B))),
inference(copy,[status(thm)],[c_27334]) ).
cnf(c_27335,plain,
quotient(product(quotient(one,A),difference(quotient(difference(A,one),A),B)),A) = difference(A,difference(difference(A,one),product(A,quotient(B,A)))),
inference(paramod,[status(thm)],[c_10884,c_5839]) ).
cnf(c_27336,plain,
quotient(product(quotient(one,A),difference(quotient(difference(A,one),A),B)),A) = difference(A,quotient(difference(difference(A,difference(A,one)),B),A)),
inference(paramod,[status(thm)],[c_1864,c_27335]) ).
cnf(c_10897,plain,
quotient(product(quotient(one,A),difference(quotient(difference(A,one),A),B)),A) = difference(A,quotient(difference(quotient(one,product(A,A)),B),A)),
inference(paramod,[status(thm)],[c_736,c_27336]) ).
cnf(c_27337,plain,
quotient(quotient(product(difference(A,B),A),difference(difference(A,one),product(B,A))),difference(A,one)) = quotient(product(B,A),product(quotient(one,difference(A,one)),product(B,A))),
inference(paramod,[status(thm)],[c_298,c_6400]) ).
cnf(c_27338,plain,
quotient(quotient(product(difference(A,B),A),product(difference(one,product(A,B)),A)),difference(A,one)) = quotient(product(B,A),product(quotient(one,difference(A,one)),product(B,A))),
inference(paramod,[status(thm)],[c_1863,c_27337]) ).
cnf(c_27339,plain,
quotient(quotient(product(difference(A,B),A),product(product(A,B),A)),difference(A,one)) = quotient(product(B,A),product(quotient(one,difference(A,one)),product(B,A))),
inference(paramod,[status(thm)],[c_17,c_27338]) ).
cnf(c_27340,plain,
quotient(difference(A,quotient(B,product(A,B))),difference(A,one)) = quotient(product(B,A),product(quotient(one,difference(A,one)),product(B,A))),
inference(paramod,[status(thm)],[c_1448,c_27339]) ).
cnf(c_27341,plain,
product(product(quotient(one,A),quotient(B,product(A,B))),A) = quotient(product(B,A),product(quotient(one,difference(A,one)),product(B,A))),
inference(paramod,[status(thm)],[c_7245,c_27340]) ).
cnf(c_27342,plain,
product(product(quotient(one,A),quotient(B,product(A,B))),A) = quotient(product(B,A),product(A,product(B,A))),
inference(paramod,[status(thm)],[c_21,c_27341]) ).
cnf(c_11249,plain,
product(product(quotient(one,A),quotient(B,product(A,B))),A) = quotient(difference(A,B),B),
inference(paramod,[status(thm)],[c_77,c_27342]) ).
cnf(c_27343,plain,
quotient(quotient(product(product(difference(A,one),B),A),difference(difference(A,one),quotient(B,difference(A,one)))),difference(A,one)) = quotient(quotient(B,difference(A,one)),product(quotient(one,difference(A,one)),quotient(B,difference(A,one)))),
inference(paramod,[status(thm)],[c_959,c_6400]) ).
cnf(c_27344,plain,
quotient(quotient(product(product(difference(A,one),B),A),difference(difference(A,one),quotient(B,difference(A,one)))),difference(A,one)) = quotient(quotient(B,difference(A,one)),product(A,quotient(B,difference(A,one)))),
inference(paramod,[status(thm)],[c_21,c_27343]) ).
cnf(c_11335,plain,
quotient(quotient(product(product(difference(A,one),B),A),difference(difference(A,one),quotient(B,difference(A,one)))),difference(A,one)) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_5855,c_27344]) ).
cnf(c_27345,plain,
quotient(A,quotient(B,difference(B,one))) = product(quotient(quotient(A,B),product(B,B)),B),
inference(paramod,[status(thm)],[c_6,c_9544]) ).
cnf(c_11510,plain,
product(quotient(quotient(A,B),product(B,B)),B) = quotient(A,quotient(B,difference(B,one))),
inference(copy,[status(thm)],[c_27345]) ).
cnf(c_11511,plain,
difference(product(quotient(A,product(B,B)),B),product(A,B)) = quotient(B,difference(B,one)),
inference(paramod,[status(thm)],[c_9544,c_22]) ).
cnf(c_27346,plain,
difference(quotient(A,difference(A,one)),quotient(one,product(A,quotient(one,A)))) = quotient(quotient(A,difference(A,one)),product(product(A,A),quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_9864,c_80]) ).
cnf(c_27347,plain,
quotient(one,product(product(A,quotient(one,A)),quotient(A,difference(A,one)))) = quotient(quotient(A,difference(A,one)),product(product(A,A),quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_1495,c_27346]) ).
cnf(c_27348,plain,
quotient(one,product(product(difference(A,one),product(A,A)),A)) = quotient(quotient(A,difference(A,one)),product(product(A,A),quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_1066,c_27347]) ).
cnf(c_27349,plain,
quotient(one,product(product(difference(A,A),A),A)) = quotient(quotient(A,difference(A,one)),product(product(A,A),quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_298,c_27348]) ).
cnf(c_27350,plain,
quotient(one,product(product(one,A),A)) = quotient(quotient(A,difference(A,one)),product(product(A,A),quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_18,c_27349]) ).
cnf(c_27351,plain,
quotient(one,product(A,A)) = quotient(quotient(A,difference(A,one)),product(product(A,A),quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_2,c_27350]) ).
cnf(c_27352,plain,
quotient(one,product(A,A)) = quotient(quotient(A,difference(A,one)),product(A,product(product(A,A),A))),
inference(paramod,[status(thm)],[c_1393,c_27351]) ).
cnf(c_11712,plain,
quotient(quotient(A,difference(A,one)),product(A,product(product(A,A),A))) = quotient(one,product(A,A)),
inference(copy,[status(thm)],[c_27352]) ).
cnf(c_27353,plain,
product(quotient(A,difference(A,one)),quotient(quotient(A,difference(A,one)),product(product(A,A),quotient(A,difference(A,one))))) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_9864,c_100]) ).
cnf(c_27354,plain,
product(quotient(A,difference(A,one)),quotient(quotient(A,difference(A,one)),product(A,product(product(A,A),A)))) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_1393,c_27353]) ).
cnf(c_11713,plain,
product(quotient(A,difference(A,one)),quotient(one,product(A,A))) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_11712,c_27354]) ).
cnf(c_27355,plain,
quotient(quotient(A,difference(A,one)),quotient(product(A,A),quotient(A,difference(A,one)))) = product(quotient(A,difference(A,one)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_9864,c_113]) ).
cnf(c_27356,plain,
quotient(quotient(A,difference(A,one)),product(difference(A,one),quotient(product(A,A),A))) = product(quotient(A,difference(A,one)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_3436,c_27355]) ).
cnf(c_27357,plain,
quotient(quotient(A,difference(A,one)),product(difference(A,one),A)) = product(quotient(A,difference(A,one)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_5,c_27356]) ).
cnf(c_27358,plain,
quotient(quotient(A,difference(A,one)),product(A,quotient(one,A))) = product(quotient(A,difference(A,one)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_12,c_27357]) ).
cnf(c_11714,plain,
product(quotient(A,difference(A,one)),quotient(one,product(A,quotient(one,A)))) = quotient(quotient(A,difference(A,one)),product(A,quotient(one,A))),
inference(copy,[status(thm)],[c_27358]) ).
cnf(c_27359,plain,
difference(quotient(one,quotient(A,difference(A,one))),quotient(one,product(A,quotient(one,A)))) = product(quotient(A,difference(A,one)),difference(difference(quotient(A,difference(A,one)),one),quotient(one,product(A,A)))),
inference(paramod,[status(thm)],[c_11713,c_7691]) ).
cnf(c_27360,plain,
difference(quotient(difference(A,one),A),quotient(one,product(A,quotient(one,A)))) = product(quotient(A,difference(A,one)),difference(difference(quotient(A,difference(A,one)),one),quotient(one,product(A,A)))),
inference(paramod,[status(thm)],[c_681,c_27359]) ).
cnf(c_27361,plain,
quotient(one,product(product(A,quotient(one,A)),quotient(difference(A,one),A))) = product(quotient(A,difference(A,one)),difference(difference(quotient(A,difference(A,one)),one),quotient(one,product(A,A)))),
inference(paramod,[status(thm)],[c_1494,c_27360]) ).
cnf(c_27362,plain,
quotient(one,product(A,quotient(product(quotient(one,A),difference(A,one)),A))) = product(quotient(A,difference(A,one)),difference(difference(quotient(A,difference(A,one)),one),quotient(one,product(A,A)))),
inference(paramod,[status(thm)],[c_39,c_27361]) ).
cnf(c_27363,plain,
quotient(one,product(A,quotient(quotient(one,product(A,A)),A))) = product(quotient(A,difference(A,one)),difference(difference(quotient(A,difference(A,one)),one),quotient(one,product(A,A)))),
inference(paramod,[status(thm)],[c_146,c_27362]) ).
cnf(c_27364,plain,
quotient(one,product(A,quotient(one,product(A,product(A,A))))) = product(quotient(A,difference(A,one)),difference(difference(quotient(A,difference(A,one)),one),quotient(one,product(A,A)))),
inference(paramod,[status(thm)],[c_1812,c_27363]) ).
cnf(c_27365,plain,
quotient(one,product(difference(A,one),quotient(one,A))) = product(quotient(A,difference(A,one)),difference(difference(quotient(A,difference(A,one)),one),quotient(one,product(A,A)))),
inference(paramod,[status(thm)],[c_1732,c_27364]) ).
cnf(c_27366,plain,
quotient(one,product(difference(A,one),quotient(one,A))) = product(quotient(A,difference(A,one)),difference(quotient(difference(A,one),A),quotient(one,product(A,A)))),
inference(paramod,[status(thm)],[c_642,c_27365]) ).
cnf(c_27367,plain,
quotient(one,product(difference(A,one),quotient(one,A))) = product(quotient(A,difference(A,one)),quotient(one,product(product(A,A),quotient(difference(A,one),A)))),
inference(paramod,[status(thm)],[c_1494,c_27366]) ).
cnf(c_27368,plain,
quotient(one,product(difference(A,one),quotient(one,A))) = product(quotient(A,difference(A,one)),quotient(one,product(A,quotient(product(A,difference(A,one)),A)))),
inference(paramod,[status(thm)],[c_39,c_27367]) ).
cnf(c_27369,plain,
quotient(one,product(difference(A,one),quotient(one,A))) = product(quotient(A,difference(A,one)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_3,c_27368]) ).
cnf(c_27370,plain,
quotient(one,product(difference(A,one),quotient(one,A))) = quotient(quotient(A,difference(A,one)),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_11714,c_27369]) ).
cnf(c_12086,plain,
quotient(quotient(A,difference(A,one)),product(A,quotient(one,A))) = quotient(one,product(difference(A,one),quotient(one,A))),
inference(copy,[status(thm)],[c_27370]) ).
cnf(c_12111,plain,
product(quotient(A,difference(A,one)),quotient(one,product(A,quotient(one,A)))) = quotient(one,product(difference(A,one),quotient(one,A))),
inference(paramod,[status(thm)],[c_12086,c_11714]) ).
cnf(c_27371,plain,
product(quotient(A,B),product(B,B)) = product(difference(B,difference(difference(B,one),A)),B),
inference(paramod,[status(thm)],[c_2273,c_131]) ).
cnf(c_12218,plain,
product(difference(A,difference(difference(A,one),B)),A) = product(quotient(B,A),product(A,A)),
inference(copy,[status(thm)],[c_27371]) ).
cnf(c_27372,plain,
quotient(product(A,quotient(B,C)),quotient(D,C)) = product(C,quotient(product(quotient(product(difference(C,A),B),C),C),D)),
inference(paramod,[status(thm)],[c_203,c_1323]) ).
cnf(c_12305,plain,
quotient(product(A,quotient(B,C)),quotient(D,C)) = product(C,quotient(product(difference(C,A),B),D)),
inference(paramod,[status(thm)],[c_6,c_27372]) ).
cnf(c_27373,plain,
product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),quotient(product(B,quotient(one,quotient(one,A))),product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))))) = product(product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_859,c_136]) ).
cnf(c_27374,plain,
product(product(quotient(product(difference(A,one),A),one),quotient(one,quotient(one,A))),quotient(product(B,quotient(one,quotient(one,A))),product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))))) = product(product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_1639,c_27373]) ).
cnf(c_27375,plain,
product(product(quotient(product(A,quotient(one,A)),one),quotient(one,quotient(one,A))),quotient(product(B,quotient(one,quotient(one,A))),product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))))) = product(product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_12,c_27374]) ).
cnf(c_27376,plain,
product(product(product(A,quotient(one,A)),quotient(one,quotient(one,A))),quotient(product(B,quotient(one,quotient(one,A))),product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))))) = product(product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_19,c_27375]) ).
cnf(c_27377,plain,
product(A,quotient(product(B,quotient(one,quotient(one,A))),product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))))) = product(product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_1039,c_27376]) ).
cnf(c_27378,plain,
product(A,quotient(product(B,quotient(one,quotient(one,A))),product(quotient(product(difference(A,one),A),one),quotient(one,quotient(one,A))))) = product(product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_1639,c_27377]) ).
cnf(c_27379,plain,
product(A,quotient(product(B,quotient(one,quotient(one,A))),product(quotient(product(A,quotient(one,A)),one),quotient(one,quotient(one,A))))) = product(product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_12,c_27378]) ).
cnf(c_27380,plain,
product(A,quotient(product(B,quotient(one,quotient(one,A))),product(product(A,quotient(one,A)),quotient(one,quotient(one,A))))) = product(product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_19,c_27379]) ).
cnf(c_27381,plain,
product(A,quotient(product(B,quotient(one,quotient(one,A))),A)) = product(product(product(difference(A,quotient(one,quotient(one,A))),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_1039,c_27380]) ).
cnf(c_27382,plain,
product(A,quotient(product(B,quotient(one,quotient(one,A))),A)) = product(product(product(quotient(product(difference(A,one),A),one),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_1639,c_27381]) ).
cnf(c_27383,plain,
product(A,quotient(product(B,quotient(one,quotient(one,A))),A)) = product(product(product(quotient(product(A,quotient(one,A)),one),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_12,c_27382]) ).
cnf(c_27384,plain,
product(A,quotient(product(B,quotient(one,quotient(one,A))),A)) = product(product(product(product(A,quotient(one,A)),quotient(one,quotient(one,A))),B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_19,c_27383]) ).
cnf(c_27385,plain,
product(A,quotient(product(B,quotient(one,quotient(one,A))),A)) = product(product(A,B),quotient(A,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_1039,c_27384]) ).
cnf(c_12768,plain,
product(product(A,B),quotient(A,difference(difference(A,one),one))) = product(A,quotient(product(B,quotient(one,quotient(one,A))),A)),
inference(copy,[status(thm)],[c_27385]) ).
cnf(c_27386,plain,
product(difference(A,one),quotient(product(product(B,quotient(one,A)),difference(A,one)),product(quotient(one,A),difference(A,one)))) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(paramod,[status(thm)],[c_153,c_1244]) ).
cnf(c_27387,plain,
product(difference(A,one),quotient(product(product(B,quotient(one,A)),difference(A,one)),quotient(one,product(A,A)))) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(paramod,[status(thm)],[c_146,c_27386]) ).
cnf(c_27388,plain,
product(difference(A,one),product(quotient(product(B,quotient(one,A)),quotient(difference(A,one),A)),difference(A,one))) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(paramod,[status(thm)],[c_8084,c_27387]) ).
cnf(c_27389,plain,
product(difference(A,one),product(product(A,quotient(product(difference(A,B),one),difference(A,one))),difference(A,one))) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(paramod,[status(thm)],[c_12305,c_27388]) ).
cnf(c_27390,plain,
product(difference(A,one),product(product(A,quotient(difference(A,B),difference(A,one))),difference(A,one))) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(paramod,[status(thm)],[c_1,c_27389]) ).
cnf(c_27391,plain,
product(difference(A,one),product(product(A,product(product(quotient(one,A),B),A)),difference(A,one))) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(paramod,[status(thm)],[c_7245,c_27390]) ).
cnf(c_27392,plain,
difference(A,quotient(product(A,product(product(quotient(one,A),B),A)),A)) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(paramod,[status(thm)],[c_1349,c_27391]) ).
cnf(c_27393,plain,
difference(A,product(A,product(product(quotient(one,A),quotient(B,A)),A))) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(paramod,[status(thm)],[c_7717,c_27392]) ).
cnf(c_27394,plain,
product(product(quotient(one,A),quotient(B,A)),A) = difference(quotient(one,A),product(quotient(one,product(A,A)),B)),
inference(paramod,[status(thm)],[c_4,c_27393]) ).
cnf(c_13674,plain,
difference(quotient(one,A),product(quotient(one,product(A,A)),B)) = product(product(quotient(one,A),quotient(B,A)),A),
inference(copy,[status(thm)],[c_27394]) ).
cnf(c_27395,plain,
product(product(quotient(one,A),quotient(product(B,A),A)),A) = product(product(product(quotient(one,A),product(B,difference(A,one))),A),A),
inference(paramod,[status(thm)],[c_13674,c_7277]) ).
cnf(c_27396,plain,
product(product(quotient(one,A),B),A) = product(product(product(quotient(one,A),product(B,difference(A,one))),A),A),
inference(paramod,[status(thm)],[c_5,c_27395]) ).
cnf(c_13730,plain,
product(product(product(quotient(one,A),product(B,difference(A,one))),A),A) = product(product(quotient(one,A),B),A),
inference(copy,[status(thm)],[c_27396]) ).
cnf(c_14884,plain,
difference(A,product(quotient(one,product(B,B)),product(C,B))) = product(difference(product(B,A),product(difference(B,one),C)),B),
inference(paramod,[status(thm)],[c_736,c_2531]) ).
cnf(c_27397,plain,
quotient(product(difference(A,one),quotient(B,difference(A,one))),difference(difference(A,one),C)) = product(difference(A,one),quotient(B,difference(difference(A,one),quotient(C,A)))),
inference(paramod,[status(thm)],[c_3750,c_1177]) ).
cnf(c_15546,plain,
quotient(product(product(difference(A,one),B),A),difference(difference(A,one),C)) = product(difference(A,one),quotient(B,difference(difference(A,one),quotient(C,A)))),
inference(paramod,[status(thm)],[c_959,c_27397]) ).
cnf(c_27398,plain,
quotient(product(difference(A,one),quotient(B,difference(difference(A,one),quotient(quotient(B,difference(A,one)),A)))),difference(A,one)) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_15546,c_11335]) ).
cnf(c_27399,plain,
quotient(product(difference(A,one),quotient(B,difference(difference(A,one),product(A,product(difference(A,one),B))))),difference(A,one)) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_279,c_27398]) ).
cnf(c_27400,plain,
quotient(product(difference(A,one),quotient(B,product(difference(difference(A,one),one),B))),difference(A,one)) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_5846,c_27399]) ).
cnf(c_27401,plain,
quotient(quotient(product(difference(A,one),product(difference(A,one),B)),B),difference(A,one)) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_5868,c_27400]) ).
cnf(c_27402,plain,
quotient(difference(A,difference(B,product(quotient(B,A),one))),difference(A,one)) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_7337,c_27401]) ).
cnf(c_27403,plain,
quotient(difference(A,difference(B,quotient(B,A))),difference(A,one)) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_1,c_27402]) ).
cnf(c_27404,plain,
quotient(difference(A,quotient(B,product(A,B))),difference(A,one)) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_80,c_27403]) ).
cnf(c_27405,plain,
product(product(quotient(one,A),quotient(B,product(A,B))),A) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_7245,c_27404]) ).
cnf(c_27406,plain,
quotient(difference(A,B),B) = difference(product(difference(A,one),B),difference(A,quotient(B,A))),
inference(paramod,[status(thm)],[c_11249,c_27405]) ).
cnf(c_15613,plain,
difference(product(difference(A,one),B),difference(A,quotient(B,A))) = quotient(difference(A,B),B),
inference(copy,[status(thm)],[c_27406]) ).
cnf(c_15725,plain,
product(product(difference(A,one),B),quotient(difference(A,B),B)) = difference(A,quotient(B,A)),
inference(paramod,[status(thm)],[c_15613,c_3]) ).
cnf(c_27407,plain,
product(product(difference(product(A,quotient(one,A)),one),product(A,A)),quotient(difference(product(A,quotient(one,A)),product(A,A)),product(A,A))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_1308,c_15725]) ).
cnf(c_27408,plain,
product(product(quotient(A,difference(difference(A,one),one)),product(A,A)),quotient(difference(product(A,quotient(one,A)),product(A,A)),product(A,A))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_2614,c_27407]) ).
cnf(c_27409,plain,
product(quotient(A,difference(A,one)),quotient(difference(product(A,quotient(one,A)),product(A,A)),product(A,A))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_7145,c_27408]) ).
cnf(c_27410,plain,
product(quotient(A,difference(A,one)),quotient(quotient(difference(quotient(one,A),product(A,A)),A),product(A,A))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_29,c_27409]) ).
cnf(c_27411,plain,
product(quotient(A,difference(A,one)),quotient(quotient(product(A,difference(difference(A,one),A)),A),product(A,A))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_7691,c_27410]) ).
cnf(c_27412,plain,
product(quotient(A,difference(A,one)),quotient(quotient(product(A,product(difference(one,A),A)),A),product(A,A))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_66,c_27411]) ).
cnf(c_27413,plain,
product(quotient(A,difference(A,one)),quotient(quotient(product(A,product(A,A)),A),product(A,A))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_17,c_27412]) ).
cnf(c_27414,plain,
product(quotient(A,difference(A,one)),quotient(quotient(A,difference(A,one)),product(A,A))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_1462,c_27413]) ).
cnf(c_27415,plain,
product(quotient(A,difference(A,one)),quotient(one,product(A,quotient(one,A)))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_9864,c_27414]) ).
cnf(c_27416,plain,
quotient(one,product(difference(A,one),quotient(one,A))) = difference(product(A,quotient(one,A)),quotient(A,difference(A,one))),
inference(paramod,[status(thm)],[c_12111,c_27415]) ).
cnf(c_16218,plain,
difference(product(A,quotient(one,A)),quotient(A,difference(A,one))) = quotient(one,product(difference(A,one),quotient(one,A))),
inference(copy,[status(thm)],[c_27416]) ).
cnf(c_16318,plain,
quotient(quotient(one,product(difference(A,one),quotient(one,A))),quotient(A,difference(A,one))) = quotient(one,product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_16218,c_4424]) ).
cnf(c_27417,plain,
product(product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))),quotient(A,difference(difference(A,one),one))) = difference(difference(product(A,quotient(one,A)),one),B),
inference(paramod,[status(thm)],[c_2614,c_3947]) ).
cnf(c_16635,plain,
product(product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))),quotient(A,difference(difference(A,one),one))) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_2614,c_27417]) ).
cnf(c_27418,plain,
difference(A,product(product(difference(quotient(one,A),one),B),quotient(one,quotient(one,A)))) = product(difference(A,one),difference(A,difference(product(quotient(one,A),quotient(one,A)),quotient(B,quotient(one,A))))),
inference(paramod,[status(thm)],[c_5825,c_5845]) ).
cnf(c_27419,plain,
difference(A,product(product(A,B),quotient(one,quotient(one,A)))) = product(difference(A,one),difference(A,difference(product(quotient(one,A),quotient(one,A)),quotient(B,quotient(one,A))))),
inference(paramod,[status(thm)],[c_22,c_27418]) ).
cnf(c_27420,plain,
quotient(product(B,product(quotient(one,quotient(one,A)),A)),A) = product(difference(A,one),difference(A,difference(product(quotient(one,A),quotient(one,A)),quotient(B,quotient(one,A))))),
inference(paramod,[status(thm)],[c_7,c_27419]) ).
cnf(c_27421,plain,
quotient(product(B,quotient(A,difference(A,one))),A) = product(difference(A,one),difference(A,difference(product(quotient(one,A),quotient(one,A)),quotient(B,quotient(one,A))))),
inference(paramod,[status(thm)],[c_643,c_27420]) ).
cnf(c_27422,plain,
quotient(product(B,quotient(A,difference(A,one))),A) = product(difference(A,one),difference(A,difference(quotient(difference(A,one),A),quotient(B,quotient(one,A))))),
inference(paramod,[status(thm)],[c_241,c_27421]) ).
cnf(c_17505,plain,
product(difference(A,one),difference(A,difference(quotient(difference(A,one),A),quotient(B,quotient(one,A))))) = quotient(product(B,quotient(A,difference(A,one))),A),
inference(copy,[status(thm)],[c_27422]) ).
cnf(c_27423,plain,
product(quotient(quotient(product(difference(quotient(A,difference(A,one)),one),B),A),product(A,A)),A) = difference(quotient(A,difference(A,one)),quotient(B,quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_202,c_11510]) ).
cnf(c_27424,plain,
product(quotient(quotient(product(quotient(difference(A,one),A),B),A),product(A,A)),A) = difference(quotient(A,difference(A,one)),quotient(B,quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_642,c_27423]) ).
cnf(c_27425,plain,
product(quotient(product(difference(A,one),difference(A,quotient(B,A))),product(A,A)),A) = difference(quotient(A,difference(A,one)),quotient(B,quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_5963,c_27424]) ).
cnf(c_27426,plain,
product(difference(A,quotient(quotient(difference(A,quotient(B,A)),A),A)),A) = difference(quotient(A,difference(A,one)),quotient(B,quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_1476,c_27425]) ).
cnf(c_27427,plain,
product(difference(A,one),quotient(difference(A,quotient(B,A)),A)) = difference(quotient(A,difference(A,one)),quotient(B,quotient(A,difference(A,one)))),
inference(paramod,[status(thm)],[c_222,c_27426]) ).
cnf(c_27428,plain,
product(difference(A,one),quotient(difference(A,quotient(B,A)),A)) = product(quotient(difference(A,one),A),product(B,quotient(difference(A,one),A))),
inference(paramod,[status(thm)],[c_1425,c_27427]) ).
cnf(c_18520,plain,
product(quotient(difference(A,one),A),product(B,quotient(difference(A,one),A))) = product(difference(A,one),quotient(difference(A,quotient(B,A)),A)),
inference(copy,[status(thm)],[c_27428]) ).
cnf(c_18614,plain,
product(difference(A,one),quotient(difference(A,quotient(product(B,quotient(A,difference(A,one))),A)),A)) = difference(quotient(A,difference(A,one)),B),
inference(paramod,[status(thm)],[c_18520,c_1426]) ).
cnf(c_27429,plain,
quotient(difference(quotient(one,A),product(difference(quotient(one,A),one),B)),quotient(one,A)) = difference(quotient(difference(A,one),A),quotient(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_241,c_305]) ).
cnf(c_27430,plain,
quotient(difference(quotient(one,A),product(A,B)),quotient(one,A)) = difference(quotient(difference(A,one),A),quotient(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_22,c_27429]) ).
cnf(c_27431,plain,
quotient(product(A,difference(difference(A,one),B)),quotient(one,A)) = difference(quotient(difference(A,one),A),quotient(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_7691,c_27430]) ).
cnf(c_27432,plain,
product(A,quotient(product(difference(difference(A,one),B),A),one)) = difference(quotient(difference(A,one),A),quotient(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_1323,c_27431]) ).
cnf(c_27433,plain,
product(A,product(difference(difference(A,one),B),A)) = difference(quotient(difference(A,one),A),quotient(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_19,c_27432]) ).
cnf(c_19367,plain,
difference(quotient(difference(A,one),A),quotient(B,quotient(one,A))) = product(A,product(difference(difference(A,one),B),A)),
inference(copy,[status(thm)],[c_27433]) ).
cnf(c_27434,plain,
quotient(difference(product(A,quotient(one,A)),product(difference(A,one),B)),A) = difference(quotient(one,quotient(one,A)),quotient(B,A)),
inference(paramod,[status(thm)],[c_640,c_305]) ).
cnf(c_27435,plain,
quotient(product(product(quotient(one,A),product(B,difference(A,one))),A),A) = difference(quotient(one,quotient(one,A)),quotient(B,A)),
inference(paramod,[status(thm)],[c_7270,c_27434]) ).
cnf(c_27436,plain,
product(quotient(one,A),product(B,difference(A,one))) = difference(quotient(one,quotient(one,A)),quotient(B,A)),
inference(paramod,[status(thm)],[c_5,c_27435]) ).
cnf(c_19388,plain,
difference(quotient(one,quotient(one,A)),quotient(B,A)) = product(quotient(one,A),product(B,difference(A,one))),
inference(copy,[status(thm)],[c_27436]) ).
cnf(c_27437,plain,
difference(product(difference(A,one),difference(A,one)),quotient(B,difference(A,one))) = product(product(A,product(difference(difference(A,one),one),B)),A),
inference(paramod,[status(thm)],[c_305,c_517]) ).
cnf(c_19414,plain,
difference(quotient(difference(A,one),A),quotient(B,difference(A,one))) = product(product(A,product(difference(difference(A,one),one),B)),A),
inference(paramod,[status(thm)],[c_371,c_27437]) ).
cnf(c_27438,plain,
product(difference(A,one),difference(A,product(A,product(difference(difference(A,one),B),A)))) = quotient(product(B,quotient(A,difference(A,one))),A),
inference(paramod,[status(thm)],[c_19367,c_17505]) ).
cnf(c_27439,plain,
product(difference(A,one),product(difference(difference(A,one),B),A)) = quotient(product(B,quotient(A,difference(A,one))),A),
inference(paramod,[status(thm)],[c_4,c_27438]) ).
cnf(c_27440,plain,
product(difference(A,difference(difference(A,one),B)),A) = quotient(product(B,quotient(A,difference(A,one))),A),
inference(paramod,[status(thm)],[c_298,c_27439]) ).
cnf(c_27441,plain,
product(quotient(B,A),product(A,A)) = quotient(product(B,quotient(A,difference(A,one))),A),
inference(paramod,[status(thm)],[c_12218,c_27440]) ).
cnf(c_19481,plain,
quotient(product(A,quotient(B,difference(B,one))),B) = product(quotient(A,B),product(B,B)),
inference(copy,[status(thm)],[c_27441]) ).
cnf(c_27442,plain,
product(difference(A,one),quotient(difference(A,product(quotient(B,A),product(A,A))),A)) = difference(quotient(A,difference(A,one)),B),
inference(paramod,[status(thm)],[c_19481,c_18614]) ).
cnf(c_19495,plain,
product(difference(A,one),difference(product(A,A),difference(difference(A,one),B))) = difference(quotient(A,difference(A,one)),B),
inference(paramod,[status(thm)],[c_3089,c_27442]) ).
cnf(c_27443,plain,
difference(quotient(A,difference(difference(A,one),one)),product(difference(quotient(one,A),B),quotient(one,A))) = product(difference(difference(A,one),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_2622,c_2400]) ).
cnf(c_27444,plain,
difference(quotient(A,difference(difference(A,one),one)),product(A,product(difference(one,B),quotient(one,A)))) = product(difference(difference(A,one),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_4833,c_27443]) ).
cnf(c_20003,plain,
difference(quotient(A,difference(difference(A,one),one)),product(A,product(B,quotient(one,A)))) = product(difference(difference(A,one),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_17,c_27444]) ).
cnf(c_27445,plain,
product(difference(difference(A,one),one),quotient(product(difference(difference(difference(A,one),one),B),difference(difference(A,one),one)),A)) = quotient(B,quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_4574,c_3375]) ).
cnf(c_27446,plain,
product(difference(difference(A,one),one),quotient(difference(difference(difference(A,one),one),quotient(B,difference(A,one))),A)) = quotient(B,quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_3750,c_27445]) ).
cnf(c_27447,plain,
product(difference(difference(A,one),one),product(product(difference(A,one),quotient(B,difference(A,one))),quotient(one,A))) = quotient(B,quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_3868,c_27446]) ).
cnf(c_20055,plain,
product(difference(difference(A,one),one),product(product(product(difference(A,one),B),A),quotient(one,A))) = quotient(B,quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_959,c_27447]) ).
cnf(c_27448,plain,
difference(quotient(one,product(A,quotient(one,A))),product(B,quotient(one,A))) = quotient(product(difference(quotient(one,product(A,quotient(one,A))),B),difference(A,one)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_10514,c_89]) ).
cnf(c_21034,plain,
quotient(product(difference(quotient(one,product(A,quotient(one,A))),B),difference(A,one)),quotient(one,product(A,quotient(one,A)))) = difference(quotient(one,product(A,quotient(one,A))),product(B,quotient(one,A))),
inference(copy,[status(thm)],[c_27448]) ).
cnf(c_27449,plain,
quotient(quotient(product(difference(quotient(one,product(A,quotient(one,A))),B),difference(A,one)),quotient(one,product(A,quotient(one,A)))),quotient(one,A)) = difference(difference(A,one),product(quotient(difference(A,one),quotient(one,product(A,quotient(one,A)))),B)),
inference(paramod,[status(thm)],[c_10514,c_98]) ).
cnf(c_27450,plain,
quotient(difference(quotient(one,product(A,quotient(one,A))),product(B,quotient(one,A))),quotient(one,A)) = difference(difference(A,one),product(quotient(difference(A,one),quotient(one,product(A,quotient(one,A)))),B)),
inference(paramod,[status(thm)],[c_21034,c_27449]) ).
cnf(c_27451,plain,
quotient(difference(quotient(one,product(A,quotient(one,A))),product(B,quotient(one,A))),quotient(one,A)) = difference(difference(A,one),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_10514,c_27450]) ).
cnf(c_21040,plain,
quotient(difference(quotient(one,product(A,quotient(one,A))),product(B,quotient(one,A))),quotient(one,A)) = product(difference(difference(A,one),one),difference(A,B)),
inference(paramod,[status(thm)],[c_7386,c_27451]) ).
cnf(c_27452,plain,
difference(A,product(difference(quotient(B,product(A,A)),product(B,A)),quotient(B,product(A,A)))) = product(quotient(A,difference(A,one)),quotient(B,product(A,A))),
inference(paramod,[status(thm)],[c_11511,c_2400]) ).
cnf(c_27453,plain,
difference(A,product(difference(quotient(B,product(A,A)),B),product(A,quotient(B,product(A,A))))) = product(quotient(A,difference(A,one)),quotient(B,product(A,A))),
inference(paramod,[status(thm)],[c_88,c_27452]) ).
cnf(c_27454,plain,
difference(A,product(product(A,A),product(A,quotient(B,product(A,A))))) = product(quotient(A,difference(A,one)),quotient(B,product(A,A))),
inference(paramod,[status(thm)],[c_22,c_27453]) ).
cnf(c_27455,plain,
difference(A,product(A,quotient(product(A,product(A,quotient(B,A))),A))) = product(quotient(A,difference(A,one)),quotient(B,product(A,A))),
inference(paramod,[status(thm)],[c_1182,c_27454]) ).
cnf(c_27456,plain,
quotient(product(A,product(A,quotient(B,A))),A) = product(quotient(A,difference(A,one)),quotient(B,product(A,A))),
inference(paramod,[status(thm)],[c_4,c_27455]) ).
cnf(c_21286,plain,
product(quotient(A,difference(A,one)),quotient(B,product(A,A))) = quotient(product(A,product(A,quotient(B,A))),A),
inference(copy,[status(thm)],[c_27456]) ).
cnf(c_27457,plain,
quotient(difference(A,product(difference(A,one),product(A,B))),A) = quotient(product(quotient(difference(A,A),A),product(B,A)),product(A,A)),
inference(paramod,[status(thm)],[c_1474,c_207]) ).
cnf(c_27458,plain,
difference(product(A,A),quotient(product(A,B),A)) = quotient(product(quotient(difference(A,A),A),product(B,A)),product(A,A)),
inference(paramod,[status(thm)],[c_305,c_27457]) ).
cnf(c_27459,plain,
difference(product(A,A),quotient(product(A,B),A)) = quotient(product(quotient(one,A),product(B,A)),product(A,A)),
inference(paramod,[status(thm)],[c_18,c_27458]) ).
cnf(c_21613,plain,
quotient(product(quotient(one,A),product(B,A)),product(A,A)) = difference(product(A,A),quotient(product(A,B),A)),
inference(copy,[status(thm)],[c_27459]) ).
cnf(c_27460,plain,
quotient(difference(product(A,quotient(one,A)),product(quotient(B,product(quotient(A,difference(A,one)),product(A,quotient(one,A)))),quotient(A,difference(A,one)))),quotient(A,difference(A,one))) = quotient(product(quotient(quotient(one,product(difference(A,one),quotient(one,A))),quotient(A,difference(A,one))),B),product(quotient(A,difference(A,one)),product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_16218,c_207]) ).
cnf(c_27461,plain,
quotient(difference(product(A,quotient(one,A)),product(quotient(B,product(A,product(A,quotient(A,A)))),quotient(A,difference(A,one)))),quotient(A,difference(A,one))) = quotient(product(quotient(quotient(one,product(difference(A,one),quotient(one,A))),quotient(A,difference(A,one))),B),product(quotient(A,difference(A,one)),product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_7865,c_27460]) ).
cnf(c_27462,plain,
quotient(difference(product(A,quotient(one,A)),product(quotient(B,product(A,product(A,one))),quotient(A,difference(A,one)))),quotient(A,difference(A,one))) = quotient(product(quotient(quotient(one,product(difference(A,one),quotient(one,A))),quotient(A,difference(A,one))),B),product(quotient(A,difference(A,one)),product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_20,c_27461]) ).
cnf(c_27463,plain,
quotient(difference(product(A,quotient(one,A)),product(quotient(B,product(A,A)),quotient(A,difference(A,one)))),quotient(A,difference(A,one))) = quotient(product(quotient(quotient(one,product(difference(A,one),quotient(one,A))),quotient(A,difference(A,one))),B),product(quotient(A,difference(A,one)),product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_1,c_27462]) ).
cnf(c_27464,plain,
difference(product(A,A),product(quotient(A,difference(A,one)),quotient(B,product(A,A)))) = quotient(product(quotient(quotient(one,product(difference(A,one),quotient(one,A))),quotient(A,difference(A,one))),B),product(quotient(A,difference(A,one)),product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_1905,c_27463]) ).
cnf(c_27465,plain,
difference(product(A,A),quotient(product(A,product(A,quotient(B,A))),A)) = quotient(product(quotient(quotient(one,product(difference(A,one),quotient(one,A))),quotient(A,difference(A,one))),B),product(quotient(A,difference(A,one)),product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_21286,c_27464]) ).
cnf(c_27466,plain,
difference(product(A,A),quotient(product(A,product(A,quotient(B,A))),A)) = quotient(product(quotient(one,product(A,quotient(one,A))),B),product(quotient(A,difference(A,one)),product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_16318,c_27465]) ).
cnf(c_27467,plain,
difference(product(A,A),quotient(product(A,product(A,quotient(B,A))),A)) = quotient(product(quotient(one,product(A,quotient(one,A))),B),product(A,product(A,quotient(A,A)))),
inference(paramod,[status(thm)],[c_7865,c_27466]) ).
cnf(c_27468,plain,
difference(product(A,A),quotient(product(A,product(A,quotient(B,A))),A)) = quotient(product(quotient(one,product(A,quotient(one,A))),B),product(A,product(A,one))),
inference(paramod,[status(thm)],[c_20,c_27467]) ).
cnf(c_27469,plain,
difference(product(A,A),quotient(product(A,product(A,quotient(B,A))),A)) = quotient(product(quotient(one,product(A,quotient(one,A))),B),product(A,A)),
inference(paramod,[status(thm)],[c_1,c_27468]) ).
cnf(c_21631,plain,
quotient(product(quotient(one,product(A,quotient(one,A))),B),product(A,A)) = difference(product(A,A),quotient(product(A,product(A,quotient(B,A))),A)),
inference(copy,[status(thm)],[c_27469]) ).
cnf(c_27470,plain,
product(A,product(difference(A,B),product(A,quotient(one,A)))) = quotient(product(B,difference(A,one)),quotient(one,A)),
inference(paramod,[status(thm)],[c_12,c_6429]) ).
cnf(c_27471,plain,
product(quotient(B,A),quotient(one,quotient(one,A))) = quotient(product(B,difference(A,one)),quotient(one,A)),
inference(paramod,[status(thm)],[c_6740,c_27470]) ).
cnf(c_22850,plain,
quotient(product(A,difference(B,one)),quotient(one,B)) = product(quotient(A,B),quotient(one,quotient(one,B))),
inference(copy,[status(thm)],[c_27471]) ).
cnf(c_27472,plain,
product(difference(difference(A,one),one),product(difference(difference(difference(A,one),one),B),difference(A,one))) = quotient(product(B,quotient(one,product(A,A))),quotient(one,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_756,c_6429]) ).
cnf(c_27473,plain,
product(difference(difference(A,one),difference(difference(difference(A,one),one),B)),difference(A,one)) = quotient(product(B,quotient(one,product(A,A))),quotient(one,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_298,c_27472]) ).
cnf(c_27474,plain,
product(quotient(B,difference(A,one)),product(difference(A,one),difference(A,one))) = quotient(product(B,quotient(one,product(A,A))),quotient(one,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_12218,c_27473]) ).
cnf(c_27475,plain,
product(quotient(B,difference(A,one)),quotient(difference(A,one),A)) = quotient(product(B,quotient(one,product(A,A))),quotient(one,difference(difference(A,one),one))),
inference(paramod,[status(thm)],[c_371,c_27474]) ).
cnf(c_27476,plain,
product(quotient(B,difference(A,one)),quotient(difference(A,one),A)) = quotient(product(B,quotient(one,product(A,A))),difference(A,one)),
inference(paramod,[status(thm)],[c_21,c_27475]) ).
cnf(c_22905,plain,
quotient(product(A,quotient(one,product(B,B))),difference(B,one)) = product(quotient(A,difference(B,one)),quotient(difference(B,one),B)),
inference(copy,[status(thm)],[c_27476]) ).
cnf(c_27477,plain,
product(difference(A,one),product(difference(difference(A,one),B),difference(difference(difference(A,one),one),one))) = quotient(product(B,product(A,quotient(one,A))),quotient(one,difference(A,one))),
inference(paramod,[status(thm)],[c_500,c_6429]) ).
cnf(c_22978,plain,
product(difference(A,one),product(difference(difference(A,one),B),difference(difference(difference(A,one),one),one))) = quotient(product(B,product(A,quotient(one,A))),A),
inference(paramod,[status(thm)],[c_21,c_27477]) ).
cnf(c_27478,plain,
quotient(product(quotient(A,difference(B,one)),quotient(difference(B,one),B)),quotient(one,B)) = product(quotient(one,B),product(product(B,product(A,difference(B,one))),B)),
inference(paramod,[status(thm)],[c_22905,c_5841]) ).
cnf(c_27479,plain,
product(B,quotient(product(difference(B,quotient(A,difference(B,one))),difference(B,one)),one)) = product(quotient(one,B),product(product(B,product(A,difference(B,one))),B)),
inference(paramod,[status(thm)],[c_12305,c_27478]) ).
cnf(c_27480,plain,
product(B,product(difference(B,quotient(A,difference(B,one))),difference(B,one))) = product(quotient(one,B),product(product(B,product(A,difference(B,one))),B)),
inference(paramod,[status(thm)],[c_19,c_27479]) ).
cnf(c_23013,plain,
product(quotient(one,A),product(product(A,product(B,difference(A,one))),A)) = product(A,product(difference(A,quotient(B,difference(A,one))),difference(A,one))),
inference(copy,[status(thm)],[c_27480]) ).
cnf(c_23213,plain,
quotient(product(difference(difference(A,one),one),difference(A,B)),A) = product(A,quotient(product(quotient(one,A),B),A)),
inference(paramod,[status(thm)],[c_7386,c_2274]) ).
cnf(c_27481,plain,
product(difference(A,one),difference(product(difference(A,one),difference(A,one)),product(difference(difference(A,one),one),difference(A,B)))) = difference(quotient(difference(A,one),difference(difference(A,one),one)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_7386,c_5757]) ).
cnf(c_27482,plain,
product(difference(A,one),difference(quotient(difference(A,one),A),product(difference(difference(A,one),one),difference(A,B)))) = difference(quotient(difference(A,one),difference(difference(A,one),one)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_371,c_27481]) ).
cnf(c_27483,plain,
product(difference(difference(A,one),quotient(product(difference(difference(A,one),one),difference(A,B)),A)),A) = difference(quotient(difference(A,one),difference(difference(A,one),one)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_5774,c_27482]) ).
cnf(c_27484,plain,
product(difference(difference(A,one),product(A,quotient(product(quotient(one,A),B),A))),A) = difference(quotient(difference(A,one),difference(difference(A,one),one)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_23213,c_27483]) ).
cnf(c_27485,plain,
product(quotient(difference(difference(A,difference(A,one)),product(quotient(one,A),B)),A),A) = difference(quotient(difference(A,one),difference(difference(A,one),one)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_1864,c_27484]) ).
cnf(c_27486,plain,
product(quotient(difference(quotient(one,product(A,A)),product(quotient(one,A),B)),A),A) = difference(quotient(difference(A,one),difference(difference(A,one),one)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_736,c_27485]) ).
cnf(c_27487,plain,
product(quotient(product(quotient(one,A),difference(quotient(difference(A,one),A),B)),A),A) = difference(quotient(difference(A,one),difference(difference(A,one),one)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_5760,c_27486]) ).
cnf(c_27488,plain,
product(difference(A,quotient(difference(quotient(one,product(A,A)),B),A)),A) = difference(quotient(difference(A,one),difference(difference(A,one),one)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_10897,c_27487]) ).
cnf(c_27489,plain,
product(difference(A,one),difference(quotient(one,product(A,A)),B)) = difference(quotient(difference(A,one),difference(difference(A,one),one)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_222,c_27488]) ).
cnf(c_27490,plain,
product(difference(A,one),difference(quotient(one,product(A,A)),B)) = difference(quotient(one,product(A,A)),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_757,c_27489]) ).
cnf(c_23232,plain,
product(difference(A,one),difference(quotient(one,product(A,A)),B)) = product(quotient(one,A),difference(quotient(difference(A,one),A),B)),
inference(paramod,[status(thm)],[c_5760,c_27490]) ).
cnf(c_23520,plain,
difference(product(A,A),difference(difference(A,one),B)) = product(difference(A,product(B,A)),difference(A,one)),
inference(paramod,[status(thm)],[c_5,c_8596]) ).
cnf(c_27491,plain,
difference(A,product(difference(A,difference(difference(A,one),quotient(B,A))),A)) = product(product(difference(A,B),difference(A,one)),A),
inference(paramod,[status(thm)],[c_8596,c_2400]) ).
cnf(c_23535,plain,
difference(A,product(quotient(quotient(B,A),A),product(A,A))) = product(product(difference(A,B),difference(A,one)),A),
inference(paramod,[status(thm)],[c_12218,c_27491]) ).
cnf(c_27492,plain,
product(A,product(product(difference(A,B),difference(A,one)),A)) = product(difference(A,difference(difference(A,one),quotient(B,A))),A),
inference(paramod,[status(thm)],[c_8596,c_131]) ).
cnf(c_23557,plain,
product(A,product(product(difference(A,B),difference(A,one)),A)) = product(quotient(quotient(B,A),A),product(A,A)),
inference(paramod,[status(thm)],[c_12218,c_27492]) ).
cnf(c_27493,plain,
product(difference(A,one),product(difference(A,product(B,A)),difference(A,one))) = difference(quotient(A,difference(A,one)),B),
inference(paramod,[status(thm)],[c_23520,c_19495]) ).
cnf(c_23575,plain,
difference(A,quotient(difference(A,product(B,A)),A)) = difference(quotient(A,difference(A,one)),B),
inference(paramod,[status(thm)],[c_1349,c_27493]) ).
cnf(c_23580,plain,
difference(quotient(difference(A,one),A),product(quotient(one,A),product(quotient(one,A),B))) = product(quotient(quotient(B,A),A),product(A,A)),
inference(paramod,[status(thm)],[c_23557,c_6380]) ).
cnf(c_23647,plain,
product(A,difference(quotient(A,difference(A,one)),B)) = quotient(difference(A,product(B,A)),A),
inference(paramod,[status(thm)],[c_23575,c_3]) ).
cnf(c_27494,plain,
difference(A,quotient(quotient(product(B,product(A,A)),A),A)) = difference(quotient(A,difference(A,one)),product(A,B)),
inference(paramod,[status(thm)],[c_7,c_23575]) ).
cnf(c_23650,plain,
difference(A,quotient(quotient(product(B,product(A,A)),A),A)) = product(A,difference(product(A,A),B)),
inference(paramod,[status(thm)],[c_3881,c_27494]) ).
cnf(c_27495,plain,
product(A,difference(product(A,A),B)) = product(difference(A,quotient(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_23650,c_7371]) ).
cnf(c_23753,plain,
product(difference(A,quotient(B,difference(A,one))),difference(A,one)) = product(A,difference(product(A,A),B)),
inference(copy,[status(thm)],[c_27495]) ).
cnf(c_23787,plain,
product(quotient(one,A),product(product(A,product(B,difference(A,one))),A)) = product(A,product(A,difference(product(A,A),B))),
inference(paramod,[status(thm)],[c_23753,c_23013]) ).
cnf(c_27496,plain,
product(quotient(one,A),difference(quotient(quotient(one,A),A),B)) = quotient(difference(quotient(one,A),product(B,quotient(one,A))),quotient(one,A)),
inference(paramod,[status(thm)],[c_22,c_23647]) ).
cnf(c_27497,plain,
product(quotient(one,A),difference(quotient(one,product(A,A)),B)) = quotient(difference(quotient(one,A),product(B,quotient(one,A))),quotient(one,A)),
inference(paramod,[status(thm)],[c_608,c_27496]) ).
cnf(c_27498,plain,
product(quotient(one,A),difference(quotient(one,product(A,A)),B)) = difference(quotient(difference(A,one),A),product(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_235,c_27497]) ).
cnf(c_23945,plain,
difference(quotient(difference(A,one),A),product(quotient(one,A),B)) = product(quotient(one,A),difference(quotient(one,product(A,A)),B)),
inference(copy,[status(thm)],[c_27498]) ).
cnf(c_27499,plain,
product(difference(A,one),difference(quotient(one,product(A,A)),B)) = quotient(difference(difference(A,one),product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_757,c_23647]) ).
cnf(c_27500,plain,
product(quotient(one,A),difference(quotient(difference(A,one),A),B)) = quotient(difference(difference(A,one),product(B,difference(A,one))),difference(A,one)),
inference(paramod,[status(thm)],[c_23232,c_27499]) ).
cnf(c_27501,plain,
product(quotient(one,A),difference(quotient(difference(A,one),A),B)) = product(difference(product(quotient(one,A),one),quotient(B,A)),A),
inference(paramod,[status(thm)],[c_6706,c_27500]) ).
cnf(c_27502,plain,
product(quotient(one,A),difference(quotient(difference(A,one),A),B)) = product(difference(quotient(one,A),quotient(B,A)),A),
inference(paramod,[status(thm)],[c_1,c_27501]) ).
cnf(c_23958,plain,
product(quotient(one,A),difference(quotient(difference(A,one),A),B)) = product(product(A,product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_6355,c_27502]) ).
cnf(c_27503,plain,
product(quotient(one,A),difference(quotient(one,product(A,A)),product(quotient(one,A),B))) = product(quotient(quotient(B,A),A),product(A,A)),
inference(paramod,[status(thm)],[c_23945,c_23580]) ).
cnf(c_27504,plain,
product(quotient(one,A),product(quotient(one,A),difference(quotient(difference(A,one),A),B))) = product(quotient(quotient(B,A),A),product(A,A)),
inference(paramod,[status(thm)],[c_5760,c_27503]) ).
cnf(c_27505,plain,
product(quotient(one,A),product(product(A,product(B,difference(A,one))),A)) = product(quotient(quotient(B,A),A),product(A,A)),
inference(paramod,[status(thm)],[c_23958,c_27504]) ).
cnf(c_27506,plain,
product(A,product(A,difference(product(A,A),B))) = product(quotient(quotient(B,A),A),product(A,A)),
inference(paramod,[status(thm)],[c_23787,c_27505]) ).
cnf(c_23986,plain,
product(quotient(quotient(A,B),B),product(B,B)) = product(B,product(B,difference(product(B,B),A))),
inference(copy,[status(thm)],[c_27506]) ).
cnf(c_27507,plain,
difference(A,product(A,product(A,difference(product(A,A),B)))) = product(product(difference(A,B),difference(A,one)),A),
inference(paramod,[status(thm)],[c_23986,c_23535]) ).
cnf(c_27508,plain,
product(A,difference(product(A,A),B)) = product(product(difference(A,B),difference(A,one)),A),
inference(paramod,[status(thm)],[c_4,c_27507]) ).
cnf(c_24017,plain,
product(product(difference(A,B),difference(A,one)),A) = product(A,difference(product(A,A),B)),
inference(copy,[status(thm)],[c_27508]) ).
cnf(c_27509,plain,
product(product(A,difference(B,one)),B) = product(B,difference(product(B,B),product(B,A))),
inference(paramod,[status(thm)],[c_4,c_24017]) ).
cnf(c_27510,plain,
product(product(A,difference(B,one)),B) = product(B,quotient(difference(B,product(A,B)),B)),
inference(paramod,[status(thm)],[c_29,c_27509]) ).
cnf(c_24045,plain,
product(product(A,difference(B,one)),B) = product(product(A,B),quotient(one,B)),
inference(paramod,[status(thm)],[c_872,c_27510]) ).
cnf(c_27511,plain,
product(quotient(difference(A,product(difference(quotient(one,A),B),difference(quotient(one,A),one))),product(A,A)),A) = product(difference(A,one),product(quotient(one,A),difference(product(quotient(one,A),quotient(one,A)),B))),
inference(paramod,[status(thm)],[c_24017,c_8015]) ).
cnf(c_27512,plain,
product(quotient(difference(A,product(difference(quotient(one,A),B),A)),product(A,A)),A) = product(difference(A,one),product(quotient(one,A),difference(product(quotient(one,A),quotient(one,A)),B))),
inference(paramod,[status(thm)],[c_22,c_27511]) ).
cnf(c_27513,plain,
product(quotient(difference(A,product(difference(quotient(one,A),B),A)),product(A,A)),A) = product(difference(A,one),product(quotient(one,A),difference(quotient(difference(A,one),A),B))),
inference(paramod,[status(thm)],[c_241,c_27512]) ).
cnf(c_27514,plain,
product(quotient(difference(A,product(difference(quotient(one,A),B),A)),product(A,A)),A) = product(difference(A,one),product(product(A,product(B,difference(A,one))),A)),
inference(paramod,[status(thm)],[c_23958,c_27513]) ).
cnf(c_27515,plain,
product(quotient(difference(A,product(difference(quotient(one,A),B),A)),product(A,A)),A) = product(difference(A,product(A,product(B,difference(A,one)))),A),
inference(paramod,[status(thm)],[c_298,c_27514]) ).
cnf(c_27516,plain,
product(quotient(difference(A,product(difference(quotient(one,A),B),A)),product(A,A)),A) = product(product(B,difference(A,one)),A),
inference(paramod,[status(thm)],[c_4,c_27515]) ).
cnf(c_24115,plain,
product(quotient(difference(A,product(difference(quotient(one,A),B),A)),product(A,A)),A) = product(product(B,A),quotient(one,A)),
inference(paramod,[status(thm)],[c_24045,c_27516]) ).
cnf(c_24220,plain,
quotient(product(product(A,B),quotient(one,B)),B) = product(A,difference(B,one)),
inference(paramod,[status(thm)],[c_24045,c_5]) ).
cnf(c_27517,plain,
product(product(A,B),quotient(one,B)) = product(product(A,quotient(one,B)),quotient(one,quotient(one,B))),
inference(paramod,[status(thm)],[c_22,c_24045]) ).
cnf(c_24224,plain,
product(product(A,quotient(one,B)),quotient(one,quotient(one,B))) = product(product(A,B),quotient(one,B)),
inference(copy,[status(thm)],[c_27517]) ).
cnf(c_27518,plain,
product(difference(A,one),product(product(B,A),quotient(one,A))) = product(difference(A,product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_24045,c_298]) ).
cnf(c_27519,plain,
product(difference(A,one),product(product(B,A),quotient(one,A))) = product(difference(A,B),product(difference(A,one),A)),
inference(paramod,[status(thm)],[c_88,c_27518]) ).
cnf(c_24235,plain,
product(difference(A,one),product(product(B,A),quotient(one,A))) = product(difference(A,B),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_12,c_27519]) ).
cnf(c_27520,plain,
quotient(product(product(A,B),quotient(one,B)),difference(B,one)) = product(quotient(product(A,difference(B,one)),quotient(one,B)),B),
inference(paramod,[status(thm)],[c_24045,c_6522]) ).
cnf(c_27521,plain,
product(quotient(product(A,B),quotient(one,quotient(one,B))),B) = product(quotient(product(A,difference(B,one)),quotient(one,B)),B),
inference(paramod,[status(thm)],[c_7430,c_27520]) ).
cnf(c_24274,plain,
product(quotient(product(A,B),quotient(one,quotient(one,B))),B) = product(product(quotient(A,B),quotient(one,quotient(one,B))),B),
inference(paramod,[status(thm)],[c_22850,c_27521]) ).
cnf(c_27522,plain,
product(quotient(product(product(A,B),quotient(one,B)),product(B,B)),B) = product(difference(B,one),product(B,product(A,difference(B,one)))),
inference(paramod,[status(thm)],[c_24045,c_1474]) ).
cnf(c_27523,plain,
product(quotient(product(product(A,B),quotient(one,B)),product(B,B)),B) = quotient(product(product(difference(B,one),B),A),B),
inference(paramod,[status(thm)],[c_297,c_27522]) ).
cnf(c_24281,plain,
product(quotient(product(product(A,B),quotient(one,B)),product(B,B)),B) = quotient(product(product(B,quotient(one,B)),A),B),
inference(paramod,[status(thm)],[c_12,c_27523]) ).
cnf(c_27524,plain,
product(quotient(difference(A,product(B,difference(quotient(one,A),one))),product(A,A)),A) = product(difference(A,one),product(product(B,quotient(one,A)),quotient(one,quotient(one,A)))),
inference(paramod,[status(thm)],[c_24045,c_8015]) ).
cnf(c_27525,plain,
product(quotient(difference(A,product(B,A)),product(A,A)),A) = product(difference(A,one),product(product(B,quotient(one,A)),quotient(one,quotient(one,A)))),
inference(paramod,[status(thm)],[c_22,c_27524]) ).
cnf(c_27526,plain,
product(quotient(difference(A,product(B,A)),product(A,A)),A) = product(difference(A,one),product(product(B,A),quotient(one,A))),
inference(paramod,[status(thm)],[c_24224,c_27525]) ).
cnf(c_24311,plain,
product(quotient(difference(A,product(B,A)),product(A,A)),A) = product(difference(A,B),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_24235,c_27526]) ).
cnf(c_27527,plain,
product(difference(A,difference(quotient(one,A),B)),product(A,quotient(one,A))) = product(product(B,A),quotient(one,A)),
inference(paramod,[status(thm)],[c_24311,c_24115]) ).
cnf(c_24345,plain,
product(product(product(A,B),difference(B,one)),product(B,quotient(one,B))) = product(product(A,B),quotient(one,B)),
inference(paramod,[status(thm)],[c_3782,c_27527]) ).
cnf(c_27528,plain,
quotient(product(product(A,B),quotient(one,B)),difference(B,one)) = product(product(A,product(B,quotient(one,B))),B),
inference(paramod,[status(thm)],[c_24345,c_6612]) ).
cnf(c_27529,plain,
product(quotient(product(A,B),quotient(one,quotient(one,B))),B) = product(product(A,product(B,quotient(one,B))),B),
inference(paramod,[status(thm)],[c_7430,c_27528]) ).
cnf(c_24348,plain,
product(product(quotient(A,B),quotient(one,quotient(one,B))),B) = product(product(A,product(B,quotient(one,B))),B),
inference(paramod,[status(thm)],[c_24274,c_27529]) ).
cnf(c_24352,plain,
product(quotient(product(A,B),quotient(one,quotient(one,B))),B) = product(product(A,product(B,quotient(one,B))),B),
inference(paramod,[status(thm)],[c_24348,c_24274]) ).
cnf(c_24365,plain,
quotient(product(A,quotient(one,B)),B) = product(quotient(A,B),difference(B,one)),
inference(paramod,[status(thm)],[c_6,c_24220]) ).
cnf(c_27530,plain,
quotient(product(product(A,difference(B,one)),B),difference(B,one)) = product(A,difference(difference(B,one),one)),
inference(paramod,[status(thm)],[c_21,c_24220]) ).
cnf(c_27531,plain,
quotient(product(product(A,B),quotient(one,B)),difference(B,one)) = product(A,difference(difference(B,one),one)),
inference(paramod,[status(thm)],[c_24045,c_27530]) ).
cnf(c_27532,plain,
product(quotient(product(A,B),quotient(one,quotient(one,B))),B) = product(A,difference(difference(B,one),one)),
inference(paramod,[status(thm)],[c_7430,c_27531]) ).
cnf(c_24366,plain,
product(product(A,product(B,quotient(one,B))),B) = product(A,difference(difference(B,one),one)),
inference(paramod,[status(thm)],[c_24352,c_27532]) ).
cnf(c_27533,plain,
quotient(product(quotient(one,A),product(B,A)),quotient(A,quotient(one,A))) = product(quotient(one,A),product(B,difference(A,one))),
inference(paramod,[status(thm)],[c_24220,c_1323]) ).
cnf(c_27534,plain,
quotient(product(quotient(one,A),product(B,A)),product(A,quotient(A,one))) = product(quotient(one,A),product(B,difference(A,one))),
inference(paramod,[status(thm)],[c_113,c_27533]) ).
cnf(c_27535,plain,
quotient(product(quotient(one,A),product(B,A)),product(A,A)) = product(quotient(one,A),product(B,difference(A,one))),
inference(paramod,[status(thm)],[c_19,c_27534]) ).
cnf(c_24373,plain,
difference(product(A,A),quotient(product(A,B),A)) = product(quotient(one,A),product(B,difference(A,one))),
inference(paramod,[status(thm)],[c_21613,c_27535]) ).
cnf(c_27536,plain,
product(difference(A,one),product(B,difference(difference(A,one),one))) = product(product(difference(A,one),product(product(B,difference(A,one)),quotient(one,difference(A,one)))),A),
inference(paramod,[status(thm)],[c_24220,c_959]) ).
cnf(c_27537,plain,
difference(A,quotient(B,difference(A,one))) = product(product(difference(A,one),product(product(B,difference(A,one)),quotient(one,difference(A,one)))),A),
inference(paramod,[status(thm)],[c_3761,c_27536]) ).
cnf(c_27538,plain,
difference(A,quotient(B,difference(A,one))) = product(product(difference(A,one),product(product(B,difference(A,one)),A)),A),
inference(paramod,[status(thm)],[c_21,c_27537]) ).
cnf(c_27539,plain,
difference(A,quotient(B,difference(A,one))) = product(product(difference(A,one),product(product(B,A),quotient(one,A))),A),
inference(paramod,[status(thm)],[c_24045,c_27538]) ).
cnf(c_27540,plain,
difference(A,quotient(B,difference(A,one))) = product(product(difference(A,B),product(A,quotient(one,A))),A),
inference(paramod,[status(thm)],[c_24235,c_27539]) ).
cnf(c_27541,plain,
difference(A,quotient(B,difference(A,one))) = product(difference(A,B),difference(difference(A,one),one)),
inference(paramod,[status(thm)],[c_24366,c_27540]) ).
cnf(c_24376,plain,
product(difference(A,B),difference(difference(A,one),one)) = difference(A,quotient(B,difference(A,one))),
inference(copy,[status(thm)],[c_27541]) ).
cnf(c_27542,plain,
product(difference(A,one),difference(difference(A,one),quotient(B,difference(difference(A,one),one)))) = quotient(product(B,product(A,quotient(one,A))),A),
inference(paramod,[status(thm)],[c_24376,c_22978]) ).
cnf(c_27543,plain,
quotient(B,difference(difference(A,one),one)) = quotient(product(B,product(A,quotient(one,A))),A),
inference(paramod,[status(thm)],[c_3,c_27542]) ).
cnf(c_24468,plain,
quotient(product(A,product(B,quotient(one,B))),B) = quotient(A,difference(difference(B,one),one)),
inference(copy,[status(thm)],[c_27543]) ).
cnf(c_24555,plain,
product(A,quotient(product(quotient(B,difference(difference(A,one),one)),C),A)) = product(product(product(A,B),difference(A,one)),quotient(C,A)),
inference(paramod,[status(thm)],[c_24468,c_1991]) ).
cnf(c_27544,plain,
product(difference(A,one),product(A,product(quotient(B,A),difference(A,one)))) = product(quotient(product(B,quotient(one,A)),product(A,A)),A),
inference(paramod,[status(thm)],[c_24365,c_7990]) ).
cnf(c_27545,plain,
quotient(product(product(difference(A,one),A),quotient(B,A)),A) = product(quotient(product(B,quotient(one,A)),product(A,A)),A),
inference(paramod,[status(thm)],[c_297,c_27544]) ).
cnf(c_27546,plain,
quotient(product(product(A,quotient(one,A)),quotient(B,A)),A) = product(quotient(product(B,quotient(one,A)),product(A,A)),A),
inference(paramod,[status(thm)],[c_12,c_27545]) ).
cnf(c_27547,plain,
quotient(product(A,quotient(product(quotient(one,A),B),A)),A) = product(quotient(product(B,quotient(one,A)),product(A,A)),A),
inference(paramod,[status(thm)],[c_39,c_27546]) ).
cnf(c_27548,plain,
product(A,quotient(product(quotient(one,A),B),product(A,A))) = product(quotient(product(B,quotient(one,A)),product(A,A)),A),
inference(paramod,[status(thm)],[c_1177,c_27547]) ).
cnf(c_24655,plain,
product(quotient(product(A,quotient(one,B)),product(B,B)),B) = product(B,quotient(product(quotient(one,B),A),product(B,B))),
inference(copy,[status(thm)],[c_27548]) ).
cnf(c_27549,plain,
product(B,quotient(product(quotient(one,B),product(A,B)),product(B,B))) = quotient(product(product(B,quotient(one,B)),A),B),
inference(paramod,[status(thm)],[c_24655,c_24281]) ).
cnf(c_24710,plain,
product(A,difference(product(A,A),quotient(product(A,B),A))) = quotient(product(product(A,quotient(one,A)),B),A),
inference(paramod,[status(thm)],[c_21613,c_27549]) ).
cnf(c_27550,plain,
product(A,difference(difference(B,one),one)) = difference(B,quotient(product(B,A),difference(B,one))),
inference(paramod,[status(thm)],[c_4,c_24376]) ).
cnf(c_27551,plain,
product(A,difference(difference(B,one),one)) = quotient(product(A,B),product(difference(B,one),B)),
inference(paramod,[status(thm)],[c_1321,c_27550]) ).
cnf(c_27552,plain,
product(A,difference(difference(B,one),one)) = quotient(product(A,B),product(B,quotient(one,B))),
inference(paramod,[status(thm)],[c_12,c_27551]) ).
cnf(c_25082,plain,
quotient(product(A,B),product(B,quotient(one,B))) = product(A,difference(difference(B,one),one)),
inference(copy,[status(thm)],[c_27552]) ).
cnf(c_27553,plain,
product(A,quotient(difference(A,quotient(B,difference(A,one))),A)) = product(B,quotient(difference(difference(A,one),one),A)),
inference(paramod,[status(thm)],[c_24376,c_203]) ).
cnf(c_27554,plain,
product(quotient(B,difference(A,one)),quotient(one,A)) = product(B,quotient(difference(difference(A,one),one),A)),
inference(paramod,[status(thm)],[c_872,c_27553]) ).
cnf(c_27555,plain,
product(quotient(B,difference(A,one)),quotient(one,A)) = product(B,product(difference(product(A,one),one),A)),
inference(paramod,[status(thm)],[c_2485,c_27554]) ).
cnf(c_27556,plain,
product(quotient(B,difference(A,one)),quotient(one,A)) = product(B,product(difference(A,one),A)),
inference(paramod,[status(thm)],[c_1,c_27555]) ).
cnf(c_25161,plain,
product(quotient(A,difference(B,one)),quotient(one,B)) = product(A,product(B,quotient(one,B))),
inference(paramod,[status(thm)],[c_12,c_27556]) ).
cnf(c_25194,plain,
product(A,product(B,difference(difference(A,one),one))) = quotient(product(A,B),difference(A,one)),
inference(paramod,[status(thm)],[c_25082,c_1328]) ).
cnf(c_25234,plain,
quotient(product(A,difference(difference(A,one),B)),difference(A,one)) = difference(quotient(one,A),product(product(A,B),A)),
inference(paramod,[status(thm)],[c_25194,c_7888]) ).
cnf(c_27557,plain,
quotient(product(quotient(one,A),product(B,difference(quotient(one,A),product(A,product(difference(A,one),C))))),difference(quotient(one,A),quotient(quotient(C,A),quotient(one,A)))) = difference(difference(quotient(one,A),quotient(quotient(C,A),quotient(one,A))),product(product(difference(quotient(one,A),one),quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_5920,c_230]) ).
cnf(c_27558,plain,
quotient(product(quotient(one,A),product(B,product(A,difference(difference(A,one),product(difference(A,one),C))))),difference(quotient(one,A),quotient(quotient(C,A),quotient(one,A)))) = difference(difference(quotient(one,A),quotient(quotient(C,A),quotient(one,A))),product(product(difference(quotient(one,A),one),quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_7691,c_27557]) ).
cnf(c_27559,plain,
quotient(product(quotient(one,A),product(B,product(A,C))),difference(quotient(one,A),quotient(quotient(C,A),quotient(one,A)))) = difference(difference(quotient(one,A),quotient(quotient(C,A),quotient(one,A))),product(product(difference(quotient(one,A),one),quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_4,c_27558]) ).
cnf(c_27560,plain,
quotient(product(quotient(one,A),product(B,product(A,C))),difference(quotient(one,A),product(A,product(difference(A,one),C)))) = difference(difference(quotient(one,A),quotient(quotient(C,A),quotient(one,A))),product(product(difference(quotient(one,A),one),quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_5920,c_27559]) ).
cnf(c_27561,plain,
quotient(product(quotient(one,A),product(B,product(A,C))),product(A,difference(difference(A,one),product(difference(A,one),C)))) = difference(difference(quotient(one,A),quotient(quotient(C,A),quotient(one,A))),product(product(difference(quotient(one,A),one),quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_7691,c_27560]) ).
cnf(c_27562,plain,
quotient(product(quotient(one,A),product(B,product(A,C))),product(A,C)) = difference(difference(quotient(one,A),quotient(quotient(C,A),quotient(one,A))),product(product(difference(quotient(one,A),one),quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_4,c_27561]) ).
cnf(c_27563,plain,
quotient(product(quotient(one,A),product(B,product(A,C))),product(A,C)) = difference(difference(quotient(one,A),product(A,product(difference(A,one),C))),product(product(difference(quotient(one,A),one),quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_5920,c_27562]) ).
cnf(c_27564,plain,
quotient(product(quotient(one,A),product(B,product(A,C))),product(A,C)) = difference(product(A,difference(difference(A,one),product(difference(A,one),C))),product(product(difference(quotient(one,A),one),quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_7691,c_27563]) ).
cnf(c_27565,plain,
quotient(product(quotient(one,A),product(B,product(A,C))),product(A,C)) = difference(product(A,C),product(product(difference(quotient(one,A),one),quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_4,c_27564]) ).
cnf(c_27566,plain,
quotient(product(quotient(one,A),product(B,product(A,C))),product(A,C)) = difference(product(A,C),product(product(A,quotient(C,A)),B)),
inference(paramod,[status(thm)],[c_22,c_27565]) ).
cnf(c_25248,plain,
quotient(product(quotient(one,A),product(B,product(A,C))),product(A,C)) = quotient(difference(C,product(quotient(C,A),product(B,A))),A),
inference(paramod,[status(thm)],[c_57,c_27566]) ).
cnf(c_27567,plain,
quotient(difference(quotient(one,A),product(quotient(quotient(one,A),A),product(B,A))),A) = product(product(quotient(one,A),product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_25248,c_7271]) ).
cnf(c_27568,plain,
quotient(difference(quotient(one,A),product(quotient(one,product(A,A)),product(B,A))),A) = product(product(quotient(one,A),product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_608,c_27567]) ).
cnf(c_27569,plain,
quotient(product(difference(product(A,quotient(one,A)),product(difference(A,one),B)),A),A) = product(product(quotient(one,A),product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_14884,c_27568]) ).
cnf(c_27570,plain,
quotient(product(product(product(quotient(one,A),product(B,difference(A,one))),A),A),A) = product(product(quotient(one,A),product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_7270,c_27569]) ).
cnf(c_27571,plain,
quotient(product(product(quotient(one,A),B),A),A) = product(product(quotient(one,A),product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_13730,c_27570]) ).
cnf(c_27572,plain,
product(quotient(one,A),B) = product(product(quotient(one,A),product(B,difference(A,one))),A),
inference(paramod,[status(thm)],[c_5,c_27571]) ).
cnf(c_25253,plain,
product(product(quotient(one,A),product(B,difference(A,one))),A) = product(quotient(one,A),B),
inference(copy,[status(thm)],[c_27572]) ).
cnf(c_25264,plain,
difference(product(A,quotient(one,A)),product(difference(A,one),B)) = product(quotient(one,A),B),
inference(paramod,[status(thm)],[c_25253,c_7270]) ).
cnf(c_27573,plain,
difference(product(A,quotient(one,A)),product(difference(A,B),A)) = product(quotient(one,A),product(B,A)),
inference(paramod,[status(thm)],[c_298,c_25264]) ).
cnf(c_27574,plain,
product(difference(product(A,product(A,quotient(one,A))),B),A) = product(quotient(one,A),product(B,A)),
inference(paramod,[status(thm)],[c_2400,c_27573]) ).
cnf(c_25288,plain,
product(difference(quotient(one,quotient(one,A)),B),A) = product(quotient(one,A),product(B,A)),
inference(paramod,[status(thm)],[c_640,c_27574]) ).
cnf(c_27575,plain,
difference(product(A,quotient(one,A)),product(B,quotient(one,difference(A,one)))) = product(quotient(one,A),quotient(difference(difference(A,one),B),difference(A,one))),
inference(paramod,[status(thm)],[c_872,c_25264]) ).
cnf(c_27576,plain,
difference(product(A,quotient(one,A)),product(B,A)) = product(quotient(one,A),quotient(difference(difference(A,one),B),difference(A,one))),
inference(paramod,[status(thm)],[c_21,c_27575]) ).
cnf(c_25291,plain,
difference(product(A,quotient(one,A)),product(B,A)) = product(quotient(one,A),product(product(A,B),A)),
inference(paramod,[status(thm)],[c_517,c_27576]) ).
cnf(c_27577,plain,
quotient(product(quotient(one,A),B),A) = difference(product(A,product(A,quotient(one,A))),quotient(B,A)),
inference(paramod,[status(thm)],[c_25264,c_305]) ).
cnf(c_27578,plain,
quotient(product(quotient(one,A),B),A) = difference(quotient(one,quotient(one,A)),quotient(B,A)),
inference(paramod,[status(thm)],[c_640,c_27577]) ).
cnf(c_27579,plain,
quotient(product(quotient(one,A),B),A) = product(quotient(one,A),product(B,difference(A,one))),
inference(paramod,[status(thm)],[c_19388,c_27578]) ).
cnf(c_25336,plain,
product(quotient(one,A),product(B,difference(A,one))) = quotient(product(quotient(one,A),B),A),
inference(copy,[status(thm)],[c_27579]) ).
cnf(c_27580,plain,
quotient(product(quotient(one,A),product(B,A)),quotient(one,quotient(one,A))) = difference(quotient(one,quotient(one,A)),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_25288,c_2735]) ).
cnf(c_27581,plain,
product(quotient(one,A),quotient(product(product(B,A),quotient(one,A)),one)) = difference(quotient(one,quotient(one,A)),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_1323,c_27580]) ).
cnf(c_27582,plain,
product(quotient(one,A),product(product(B,A),quotient(one,A))) = difference(quotient(one,quotient(one,A)),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_19,c_27581]) ).
cnf(c_25358,plain,
difference(quotient(one,quotient(one,A)),product(B,product(A,quotient(one,A)))) = product(quotient(one,A),product(product(B,A),quotient(one,A))),
inference(copy,[status(thm)],[c_27582]) ).
cnf(c_27583,plain,
quotient(product(quotient(one,A),product(product(A,B),A)),A) = difference(quotient(one,quotient(one,A)),product(A,B)),
inference(paramod,[status(thm)],[c_25291,c_2574]) ).
cnf(c_27584,plain,
difference(A,product(difference(difference(A,one),one),B)) = difference(quotient(one,quotient(one,A)),product(A,B)),
inference(paramod,[status(thm)],[c_6717,c_27583]) ).
cnf(c_25359,plain,
difference(quotient(one,quotient(one,A)),product(A,B)) = difference(A,product(difference(difference(A,one),one),B)),
inference(copy,[status(thm)],[c_27584]) ).
cnf(c_25386,plain,
difference(product(A,A),quotient(product(A,B),A)) = quotient(product(quotient(one,A),B),A),
inference(paramod,[status(thm)],[c_25336,c_24373]) ).
cnf(c_25391,plain,
quotient(product(quotient(one,A),product(B,A)),A) = difference(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_25336,c_3779]) ).
cnf(c_27585,plain,
product(A,quotient(product(quotient(one,A),B),A)) = quotient(product(product(A,quotient(one,A)),B),A),
inference(paramod,[status(thm)],[c_25386,c_24710]) ).
cnf(c_25412,plain,
quotient(product(product(A,quotient(one,A)),B),A) = product(A,quotient(product(quotient(one,A),B),A)),
inference(copy,[status(thm)],[c_27585]) ).
cnf(c_27586,plain,
quotient(product(quotient(one,product(A,quotient(one,A))),B),product(A,A)) = quotient(product(quotient(one,A),product(A,quotient(B,A))),A),
inference(paramod,[status(thm)],[c_25386,c_21631]) ).
cnf(c_25414,plain,
quotient(product(quotient(one,product(A,quotient(one,A))),B),product(A,A)) = quotient(product(A,product(difference(A,one),quotient(B,A))),A),
inference(paramod,[status(thm)],[c_5844,c_27586]) ).
cnf(c_27587,plain,
product(A,quotient(product(quotient(one,A),product(B,A)),A)) = product(difference(A,one),difference(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_25412,c_6726]) ).
cnf(c_27588,plain,
product(A,difference(quotient(one,quotient(one,A)),B)) = product(difference(A,one),difference(quotient(one,A),B)),
inference(paramod,[status(thm)],[c_25391,c_27587]) ).
cnf(c_25426,plain,
product(difference(A,one),difference(quotient(one,A),B)) = product(A,difference(quotient(one,quotient(one,A)),B)),
inference(copy,[status(thm)],[c_27588]) ).
cnf(c_27589,plain,
quotient(product(A,product(difference(A,one),quotient(product(B,product(A,A)),A))),A) = difference(product(A,A),product(quotient(A,difference(A,one)),B)),
inference(paramod,[status(thm)],[c_25414,c_6179]) ).
cnf(c_27590,plain,
quotient(product(quotient(one,A),product(product(A,B),A)),A) = difference(product(A,A),product(quotient(A,difference(A,one)),B)),
inference(paramod,[status(thm)],[c_6633,c_27589]) ).
cnf(c_27591,plain,
difference(quotient(one,quotient(one,A)),product(A,B)) = difference(product(A,A),product(quotient(A,difference(A,one)),B)),
inference(paramod,[status(thm)],[c_25391,c_27590]) ).
cnf(c_27592,plain,
difference(A,product(difference(difference(A,one),one),B)) = difference(product(A,A),product(quotient(A,difference(A,one)),B)),
inference(paramod,[status(thm)],[c_25359,c_27591]) ).
cnf(c_25433,plain,
difference(product(A,A),product(quotient(A,difference(A,one)),B)) = difference(A,product(difference(difference(A,one),one),B)),
inference(copy,[status(thm)],[c_27592]) ).
cnf(c_25453,plain,
product(A,product(A,difference(quotient(one,quotient(one,A)),B))) = product(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_25426,c_6634]) ).
cnf(c_27593,plain,
difference(product(A,A),quotient(B,A)) = quotient(product(quotient(one,A),difference(A,B)),A),
inference(paramod,[status(thm)],[c_3,c_25386]) ).
cnf(c_25552,plain,
quotient(product(quotient(one,A),difference(A,B)),A) = difference(product(A,A),quotient(B,A)),
inference(copy,[status(thm)],[c_27593]) ).
cnf(c_27594,plain,
product(difference(product(A,A),quotient(B,A)),A) = product(quotient(one,A),difference(A,B)),
inference(paramod,[status(thm)],[c_25552,c_6]) ).
cnf(c_25844,plain,
difference(A,product(difference(A,one),B)) = product(quotient(one,A),difference(A,B)),
inference(paramod,[status(thm)],[c_2504,c_27594]) ).
cnf(c_27595,plain,
quotient(product(A,difference(difference(A,one),B)),difference(A,one)) = difference(product(difference(A,one),difference(A,one)),quotient(B,difference(A,one))),
inference(paramod,[status(thm)],[c_21,c_25552]) ).
cnf(c_27596,plain,
difference(quotient(one,A),product(product(A,B),A)) = difference(product(difference(A,one),difference(A,one)),quotient(B,difference(A,one))),
inference(paramod,[status(thm)],[c_25234,c_27595]) ).
cnf(c_27597,plain,
difference(quotient(one,A),product(product(A,B),A)) = difference(quotient(difference(A,one),A),quotient(B,difference(A,one))),
inference(paramod,[status(thm)],[c_371,c_27596]) ).
cnf(c_27598,plain,
difference(quotient(one,A),product(product(A,B),A)) = product(product(A,product(difference(difference(A,one),one),B)),A),
inference(paramod,[status(thm)],[c_19414,c_27597]) ).
cnf(c_25845,plain,
product(product(A,product(difference(difference(A,one),one),B)),A) = difference(quotient(one,A),product(product(A,B),A)),
inference(copy,[status(thm)],[c_27598]) ).
cnf(c_27599,plain,
quotient(product(quotient(one,difference(A,one)),product(product(B,A),difference(A,one))),difference(A,one)) = difference(product(difference(A,one),difference(A,one)),quotient(difference(A,B),difference(A,one))),
inference(paramod,[status(thm)],[c_3784,c_25552]) ).
cnf(c_27600,plain,
quotient(product(A,product(product(B,A),difference(A,one))),difference(A,one)) = difference(product(difference(A,one),difference(A,one)),quotient(difference(A,B),difference(A,one))),
inference(paramod,[status(thm)],[c_21,c_27599]) ).
cnf(c_27601,plain,
quotient(difference(quotient(one,A),B),difference(A,one)) = difference(product(difference(A,one),difference(A,one)),quotient(difference(A,B),difference(A,one))),
inference(paramod,[status(thm)],[c_6286,c_27600]) ).
cnf(c_27602,plain,
product(product(quotient(one,quotient(one,A)),B),A) = difference(product(difference(A,one),difference(A,one)),quotient(difference(A,B),difference(A,one))),
inference(paramod,[status(thm)],[c_7431,c_27601]) ).
cnf(c_27603,plain,
product(product(quotient(one,quotient(one,A)),B),A) = difference(quotient(difference(A,one),A),quotient(difference(A,B),difference(A,one))),
inference(paramod,[status(thm)],[c_371,c_27602]) ).
cnf(c_27604,plain,
product(product(quotient(one,quotient(one,A)),B),A) = difference(quotient(difference(A,one),A),product(product(quotient(one,A),B),A)),
inference(paramod,[status(thm)],[c_7245,c_27603]) ).
cnf(c_27605,plain,
product(product(quotient(one,quotient(one,A)),B),A) = product(product(A,difference(difference(A,one),product(quotient(one,A),B))),A),
inference(paramod,[status(thm)],[c_7728,c_27604]) ).
cnf(c_27606,plain,
product(product(quotient(one,quotient(one,A)),B),A) = product(product(A,product(difference(difference(A,one),one),difference(A,B))),A),
inference(paramod,[status(thm)],[c_7386,c_27605]) ).
cnf(c_27607,plain,
product(product(quotient(one,quotient(one,A)),B),A) = difference(quotient(one,A),product(product(A,difference(A,B)),A)),
inference(paramod,[status(thm)],[c_25845,c_27606]) ).
cnf(c_25873,plain,
product(product(quotient(one,quotient(one,A)),B),A) = difference(quotient(one,A),product(B,A)),
inference(paramod,[status(thm)],[c_3,c_27607]) ).
cnf(c_25974,plain,
quotient(difference(quotient(one,A),B),difference(A,one)) = difference(quotient(one,A),product(B,A)),
inference(paramod,[status(thm)],[c_25873,c_7431]) ).
cnf(c_25983,plain,
product(A,product(quotient(one,A),difference(A,B))) = product(difference(A,one),B),
inference(paramod,[status(thm)],[c_25844,c_3]) ).
cnf(c_27608,plain,
quotient(product(quotient(one,difference(A,one)),difference(difference(A,one),B)),A) = product(A,quotient(product(difference(difference(A,one),one),B),A)),
inference(paramod,[status(thm)],[c_25844,c_2274]) ).
cnf(c_27609,plain,
quotient(product(A,difference(difference(A,one),B)),A) = product(A,quotient(product(difference(difference(A,one),one),B),A)),
inference(paramod,[status(thm)],[c_21,c_27608]) ).
cnf(c_25999,plain,
quotient(product(A,difference(difference(A,one),B)),A) = product(quotient(A,difference(A,one)),quotient(B,A)),
inference(paramod,[status(thm)],[c_1111,c_27609]) ).
cnf(c_27610,plain,
quotient(difference(quotient(A,difference(difference(A,one),one)),B),difference(product(A,quotient(one,A)),one)) = difference(quotient(one,product(A,quotient(one,A))),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_4574,c_25974]) ).
cnf(c_27611,plain,
quotient(difference(quotient(A,difference(difference(A,one),one)),B),quotient(A,difference(difference(A,one),one))) = difference(quotient(one,product(A,quotient(one,A))),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_2614,c_27610]) ).
cnf(c_27612,plain,
product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))) = difference(quotient(one,product(A,quotient(one,A))),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_7244,c_27611]) ).
cnf(c_26403,plain,
difference(quotient(one,product(A,quotient(one,A))),product(B,product(A,quotient(one,A)))) = product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))),
inference(copy,[status(thm)],[c_27612]) ).
cnf(c_27613,plain,
product(difference(A,one),product(quotient(one,difference(A,one)),product(product(B,A),difference(A,one)))) = product(difference(difference(A,one),one),difference(A,B)),
inference(paramod,[status(thm)],[c_3784,c_25983]) ).
cnf(c_27614,plain,
product(difference(A,one),product(A,product(product(B,A),difference(A,one)))) = product(difference(difference(A,one),one),difference(A,B)),
inference(paramod,[status(thm)],[c_21,c_27613]) ).
cnf(c_27615,plain,
product(difference(A,one),difference(quotient(one,A),B)) = product(difference(difference(A,one),one),difference(A,B)),
inference(paramod,[status(thm)],[c_6286,c_27614]) ).
cnf(c_27616,plain,
product(A,difference(quotient(one,quotient(one,A)),B)) = product(difference(difference(A,one),one),difference(A,B)),
inference(paramod,[status(thm)],[c_25426,c_27615]) ).
cnf(c_26456,plain,
product(difference(difference(A,one),one),difference(A,B)) = product(A,difference(quotient(one,quotient(one,A)),B)),
inference(copy,[status(thm)],[c_27616]) ).
cnf(c_27617,plain,
product(product(difference(difference(A,one),one),B),quotient(one,A)) = product(A,difference(product(A,A),quotient(product(quotient(one,difference(A,one)),difference(difference(A,one),B)),A))),
inference(paramod,[status(thm)],[c_25983,c_5825]) ).
cnf(c_27618,plain,
product(product(difference(difference(A,one),one),B),quotient(one,A)) = product(A,difference(product(A,A),quotient(product(A,difference(difference(A,one),B)),A))),
inference(paramod,[status(thm)],[c_21,c_27617]) ).
cnf(c_27619,plain,
product(product(difference(difference(A,one),one),B),quotient(one,A)) = product(A,difference(product(A,A),product(quotient(A,difference(A,one)),quotient(B,A)))),
inference(paramod,[status(thm)],[c_25999,c_27618]) ).
cnf(c_27620,plain,
product(product(difference(difference(A,one),one),B),quotient(one,A)) = product(A,difference(A,product(difference(difference(A,one),one),quotient(B,A)))),
inference(paramod,[status(thm)],[c_25433,c_27619]) ).
cnf(c_27621,plain,
product(product(difference(difference(A,one),one),B),quotient(one,A)) = product(A,quotient(product(difference(A,difference(difference(A,one),one)),B),A)),
inference(paramod,[status(thm)],[c_89,c_27620]) ).
cnf(c_27622,plain,
product(product(difference(difference(A,one),one),B),quotient(one,A)) = product(A,quotient(product(quotient(A,difference(difference(A,one),one)),B),A)),
inference(paramod,[status(thm)],[c_865,c_27621]) ).
cnf(c_27623,plain,
product(product(difference(difference(A,one),one),B),quotient(one,A)) = product(product(product(A,A),difference(A,one)),quotient(B,A)),
inference(paramod,[status(thm)],[c_24555,c_27622]) ).
cnf(c_26486,plain,
product(product(difference(difference(A,one),one),B),quotient(one,A)) = product(difference(difference(A,one),one),quotient(B,A)),
inference(paramod,[status(thm)],[c_447,c_27623]) ).
cnf(c_26531,plain,
quotient(difference(quotient(one,product(A,quotient(one,A))),product(B,quotient(one,A))),quotient(one,A)) = product(A,difference(quotient(one,quotient(one,A)),B)),
inference(paramod,[status(thm)],[c_26456,c_21040]) ).
cnf(c_27624,plain,
product(difference(difference(A,one),one),quotient(product(B,A),A)) = difference(quotient(A,difference(difference(A,one),one)),product(A,B)),
inference(paramod,[status(thm)],[c_26486,c_10486]) ).
cnf(c_27625,plain,
product(difference(difference(A,one),one),B) = difference(quotient(A,difference(difference(A,one),one)),product(A,B)),
inference(paramod,[status(thm)],[c_5,c_27624]) ).
cnf(c_26544,plain,
difference(quotient(A,difference(difference(A,one),one)),product(A,B)) = product(difference(difference(A,one),one),B),
inference(copy,[status(thm)],[c_27625]) ).
cnf(c_26579,plain,
product(difference(difference(A,one),one),product(B,quotient(one,A))) = product(difference(difference(A,one),B),quotient(one,A)),
inference(paramod,[status(thm)],[c_26544,c_20003]) ).
cnf(c_27626,plain,
product(difference(difference(A,one),product(product(difference(A,one),B),A)),quotient(one,A)) = quotient(B,quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_26579,c_20055]) ).
cnf(c_27627,plain,
product(quotient(product(B,product(A,difference(A,one))),difference(A,one)),quotient(one,A)) = quotient(B,quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_7,c_27626]) ).
cnf(c_27628,plain,
product(quotient(product(B,one),difference(A,one)),quotient(one,A)) = quotient(B,quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_3,c_27627]) ).
cnf(c_27629,plain,
product(quotient(B,difference(A,one)),quotient(one,A)) = quotient(B,quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_1,c_27628]) ).
cnf(c_27630,plain,
product(B,product(A,quotient(one,A))) = quotient(B,quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_25161,c_27629]) ).
cnf(c_26585,plain,
quotient(A,quotient(one,product(B,quotient(one,B)))) = product(A,product(B,quotient(one,B))),
inference(copy,[status(thm)],[c_27630]) ).
cnf(c_27631,plain,
product(difference(difference(A,one),product(difference(A,one),B)),quotient(one,A)) = quotient(product(B,difference(A,one)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_26579,c_9567]) ).
cnf(c_27632,plain,
product(B,quotient(one,A)) = quotient(product(B,difference(A,one)),quotient(one,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_4,c_27631]) ).
cnf(c_27633,plain,
product(B,quotient(one,A)) = product(product(B,difference(A,one)),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_26585,c_27632]) ).
cnf(c_26587,plain,
product(product(A,difference(B,one)),product(B,quotient(one,B))) = product(A,quotient(one,B)),
inference(copy,[status(thm)],[c_27633]) ).
cnf(c_27634,plain,
product(product(difference(quotient(one,product(A,quotient(one,A))),B),difference(A,one)),product(A,quotient(one,A))) = difference(quotient(one,product(A,quotient(one,A))),product(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_26585,c_21034]) ).
cnf(c_27635,plain,
product(difference(quotient(one,product(A,quotient(one,A))),B),quotient(one,A)) = difference(quotient(one,product(A,quotient(one,A))),product(B,quotient(one,A))),
inference(paramod,[status(thm)],[c_26587,c_27634]) ).
cnf(c_26598,plain,
difference(quotient(one,product(A,quotient(one,A))),product(B,quotient(one,A))) = product(difference(quotient(one,product(A,quotient(one,A))),B),quotient(one,A)),
inference(copy,[status(thm)],[c_27635]) ).
cnf(c_27636,plain,
difference(quotient(A,difference(difference(A,one),one)),product(B,product(A,quotient(one,A)))) = product(product(A,quotient(one,A)),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_26585,c_7706]) ).
cnf(c_26614,plain,
product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))) = product(product(A,quotient(one,A)),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_5516,c_27636]) ).
cnf(c_27637,plain,
product(A,product(B,quotient(one,B))) = quotient(A,quotient(B,difference(difference(B,one),one))),
inference(paramod,[status(thm)],[c_26585,c_6479]) ).
cnf(c_26616,plain,
quotient(A,quotient(B,difference(difference(B,one),one))) = product(A,product(B,quotient(one,B))),
inference(copy,[status(thm)],[c_27637]) ).
cnf(c_27638,plain,
quotient(product(difference(quotient(one,product(A,quotient(one,A))),B),quotient(one,A)),quotient(one,A)) = product(A,difference(quotient(one,quotient(one,A)),B)),
inference(paramod,[status(thm)],[c_26598,c_26531]) ).
cnf(c_26621,plain,
difference(quotient(one,product(A,quotient(one,A))),B) = product(A,difference(quotient(one,quotient(one,A)),B)),
inference(paramod,[status(thm)],[c_5,c_27638]) ).
cnf(c_27639,plain,
product(A,difference(quotient(one,quotient(one,A)),product(B,product(A,quotient(one,A))))) = product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_26621,c_26403]) ).
cnf(c_27640,plain,
product(A,product(quotient(one,A),product(product(B,A),quotient(one,A)))) = product(product(product(A,quotient(one,A)),B),product(A,quotient(one,A))),
inference(paramod,[status(thm)],[c_25358,c_27639]) ).
cnf(c_27641,plain,
product(A,product(quotient(one,A),product(product(B,A),quotient(one,A)))) = product(product(A,quotient(one,A)),product(B,product(A,quotient(one,A)))),
inference(paramod,[status(thm)],[c_26614,c_27640]) ).
cnf(c_26626,plain,
product(product(A,quotient(one,A)),product(B,product(A,quotient(one,A)))) = product(A,product(quotient(one,A),product(product(B,A),quotient(one,A)))),
inference(copy,[status(thm)],[c_27641]) ).
cnf(c_27642,plain,
product(product(product(A,quotient(one,A)),product(B,product(A,quotient(one,A)))),quotient(A,difference(difference(A,one),one))) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_26614,c_16635]) ).
cnf(c_27643,plain,
product(product(A,product(quotient(one,A),product(product(B,A),quotient(one,A)))),quotient(A,difference(difference(A,one),one))) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_26626,c_27642]) ).
cnf(c_27644,plain,
product(A,quotient(product(product(quotient(one,A),product(product(B,A),quotient(one,A))),quotient(one,quotient(one,A))),A)) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_12768,c_27643]) ).
cnf(c_27645,plain,
product(A,quotient(product(quotient(one,A),quotient(product(product(product(B,A),quotient(one,A)),one),quotient(one,A))),A)) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_39,c_27644]) ).
cnf(c_27646,plain,
product(A,quotient(product(quotient(one,A),quotient(product(product(B,A),quotient(one,A)),quotient(one,A))),A)) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_1,c_27645]) ).
cnf(c_27647,plain,
product(A,quotient(product(quotient(one,A),product(B,A)),A)) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_5,c_27646]) ).
cnf(c_27648,plain,
product(A,difference(quotient(one,quotient(one,A)),B)) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_25391,c_27647]) ).
cnf(c_26627,plain,
difference(quotient(A,difference(difference(A,one),one)),B) = product(A,difference(quotient(one,quotient(one,A)),B)),
inference(copy,[status(thm)],[c_27648]) ).
cnf(c_27649,plain,
product(product(A,quotient(one,product(B,quotient(one,B)))),product(B,quotient(one,B))) = A,
inference(paramod,[status(thm)],[c_26616,c_9566]) ).
cnf(c_27650,plain,
product(product(A,product(B,quotient(one,B))),difference(product(B,quotient(one,B)),one)) = A,
inference(paramod,[status(thm)],[c_3707,c_27649]) ).
cnf(c_26640,plain,
product(product(A,product(B,quotient(one,B))),quotient(B,difference(difference(B,one),one))) = A,
inference(paramod,[status(thm)],[c_2614,c_27650]) ).
cnf(c_27651,plain,
product(product(A,quotient(one,A)),B) = difference(quotient(A,difference(difference(A,one),one)),B),
inference(paramod,[status(thm)],[c_26640,c_9824]) ).
cnf(c_27652,plain,
product(product(A,quotient(one,A)),B) = product(A,difference(quotient(one,quotient(one,A)),B)),
inference(paramod,[status(thm)],[c_26627,c_27651]) ).
cnf(c_26681,plain,
product(A,difference(quotient(one,quotient(one,A)),B)) = product(product(A,quotient(one,A)),B),
inference(copy,[status(thm)],[c_27652]) ).
cnf(c_26740,plain,
product(A,product(product(A,quotient(one,A)),B)) = product(quotient(one,quotient(one,A)),B),
inference(paramod,[status(thm)],[c_26681,c_25453]) ).
cnf(c_26741,plain,
$false,
inference(resolve,[status(thm)],[c_26740,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP764-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 15:44:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 3284479 was started by sandbox on n006,
% 0.09/0.35 % Fri Sep 25 15:44:26 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 55.11/8.31
% 55.11/8.31 % given #500 (T,wt=41): 23672 difference(quotient(A,difference(A,one)),difference(A,B)) = difference(A,difference(product(A,A),B)). [para(2400(a,1),23575(a,1,2,1)),rewrite([5(4)]),flip(a)].
% 55.11/8.31
% 55.11/8.31 % SZS status Unsatisfiable for theBenchmark
% 55.11/8.31
% 55.11/8.31 % Proof 1 at 6.66 (+ 1.09) seconds.
% 55.11/8.31 % Length of proof is 566.
% 55.11/8.31 % Level of proof is 53.
% 55.11/8.31 % Maximum clause weight is 80.000.
% 55.11/8.31 % Given clauses 522.
% 55.11/8.31
% 55.11/8.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------