TSTP Solution File: ITP018+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:59:07 EDT 2022
% Result : Theorem 1.94s 2.18s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 12 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(32,axiom,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(dollar_c2,dollar_c1)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(dollar_c2,dollar_c1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(dollar_c2,dollar_c1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(dollar_c2,dollar_c1)),c_2Ebool_2Ethe__value_2E0))))))),
file('ITP018+1.p',unknown),
[] ).
cnf(38,axiom,
A = A,
file('ITP018+1.p',unknown),
[] ).
cnf(56,axiom,
s(tyop_2Ebinary__ieee_2Efloat(A,B),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),C))) = s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))),
file('ITP018+1.p',unknown),
[] ).
cnf(58,axiom,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),C))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))),
file('ITP018+1.p',unknown),
[] ).
cnf(60,axiom,
s(tyop_2Ebinary__ieee_2Efloat(A,B),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C))) = s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C))),
file('ITP018+1.p',unknown),
[] ).
cnf(62,axiom,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,A))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,A))),
file('ITP018+1.p',unknown),
[] ).
cnf(64,axiom,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C))),
file('ITP018+1.p',unknown),
[] ).
cnf(65,axiom,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),C))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),C))))),
file('ITP018+1.p',unknown),
[] ).
cnf(67,plain,
s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))))),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[65]),56,58,58,62]),
[iquote('copy,65,demod,56,58,58,62')] ).
cnf(68,axiom,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),c_2Ebool_2Ethe__value_2E0))))),
file('ITP018+1.p',unknown),
[] ).
cnf(70,plain,
s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),c_2Ebool_2Ethe__value_2E0))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[68]),64,60,58])]),
[iquote('copy,68,demod,64,60,58,flip.1')] ).
cnf(76,plain,
s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(dollar_c2,dollar_c1)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(dollar_c2,dollar_c1)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(dollar_c2,dollar_c1)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(dollar_c2,dollar_c1)),c_2Ebool_2Ethe__value_2E0))))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[32]),64,62,60,56,58,67,70]),
[iquote('back_demod,32,demod,64,62,60,56,58,67,70')] ).
cnf(77,plain,
$false,
inference(binary,[status(thm)],[76,38]),
[iquote('binary,76.1,38.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16 % Problem : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.16 % Command : otter-tptp-script %s
% 0.13/0.37 % Computer : n017.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Jul 27 02:11:48 EDT 2022
% 0.13/0.37 % CPUTime :
% 1.94/2.17 ----- Otter 3.3f, August 2004 -----
% 1.94/2.17 The process was started by sandbox on n017.cluster.edu,
% 1.94/2.17 Wed Jul 27 02:11:48 2022
% 1.94/2.17 The command was "./otter". The process ID is 14567.
% 1.94/2.17
% 1.94/2.17 set(prolog_style_variables).
% 1.94/2.17 set(auto).
% 1.94/2.17 dependent: set(auto1).
% 1.94/2.17 dependent: set(process_input).
% 1.94/2.17 dependent: clear(print_kept).
% 1.94/2.17 dependent: clear(print_new_demod).
% 1.94/2.17 dependent: clear(print_back_demod).
% 1.94/2.17 dependent: clear(print_back_sub).
% 1.94/2.17 dependent: set(control_memory).
% 1.94/2.17 dependent: assign(max_mem, 12000).
% 1.94/2.17 dependent: assign(pick_given_ratio, 4).
% 1.94/2.17 dependent: assign(stats_level, 1).
% 1.94/2.17 dependent: assign(max_seconds, 10800).
% 1.94/2.17 clear(print_given).
% 1.94/2.17
% 1.94/2.17 formula_list(usable).
% 1.94/2.17 all A (A=A).
% 1.94/2.17 all A_27a A_27b V0f_2E0 V1g_2E0 ((all V2x_2E0 (s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0)))=s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))))->s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0)=s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0)).
% 1.94/2.17 all V0_2E0 V1_2E0 ((p(s(tyop_2Emin_2Ebool,V0_2E0))<->p(s(tyop_2Emin_2Ebool,V1_2E0)))->s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0)).
% 1.94/2.17 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.17 -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.94/2.17 all V0t_2E0 (s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.94/2.17 all A_27a V0x_2E0 (s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0)))=s(A_27a,V0x_2E0)).
% 1.94/2.17 all A_27a A_27b V0x_2E0 V1y_2E0 (s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0)))=s(A_27a,V0x_2E0)).
% 1.94/2.17 all A_27a A_27b A_27c V0f_2E0 V1g_2E0 V2x_2E0 (s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0)))=s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))))).
% 1.94/2.17 all V0_2E0 V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))<->p(s(tyop_2Emin_2Ebool,V0_2E0))&p(s(tyop_2Emin_2Ebool,V1_2E0))).
% 1.94/2.17 all V0_2E0 V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))<->p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0))).
% 1.94/2.17 all V0_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))<-> -p(s(tyop_2Emin_2Ebool,V0_2E0))).
% 1.94/2.17 all V0_2E0 V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))<-> (p(s(tyop_2Emin_2Ebool,V0_2E0))->p(s(tyop_2Emin_2Ebool,V1_2E0)))).
% 1.94/2.17 all A_27a V0_2E0 V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))<->s(A_27a,V0_2E0)=s(A_27a,V1_2E0)).
% 1.94/2.17 all A_27a V0f_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))<-> (all V1x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))))).
% 1.94/2.17 all A_27a V0f_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))<-> (exists V1x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))))).
% 1.94/2.17 all X0_2E0 X1_2E0 (p(s(tyop_2Emin_2Ebool,X0_2E0))&p(s(tyop_2Emin_2Ebool,X1_2E0))<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))).
% 1.94/2.17 all X0_2E0 X1_2E0 (p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,X1_2E0))<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))).
% 1.94/2.17 all X0_2E0 (-p(s(tyop_2Emin_2Ebool,X0_2E0))<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))))).
% 1.94/2.17 all X0_2E0 X1_2E0 ((p(s(tyop_2Emin_2Ebool,X0_2E0))->p(s(tyop_2Emin_2Ebool,X1_2E0)))<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))).
% 1.94/2.17 all A_27a X0_2E0 X1_2E0 (s(A_27a,X0_2E0)=s(A_27a,X1_2E0)<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0))))).
% 1.94/2.17 all A_27a X0_2E0 (s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))).
% 1.94/2.17 all A_27a X0_2E0 (s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))).
% 1.94/2.17 all A_27a A_27b X0_2E0 (s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),X0_2E0)))=s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),X0_2E0)))).
% 1.94/2.17 all A_27a A_27b X0_2E0 (s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),X0_2E0)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),X0_2E0)))).
% 1.94/2.17 all A_27t A_27w X0_2E0 (s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0)))=s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0)))).
% 1.94/2.17 all A_27t A_27w X0_2E0 (s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),X0_2E0)))=s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),X0_2E0)))).
% 1.94/2.17 all A_27t A_27w X0_2E0 (s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0)))).
% 1.94/2.17 all X0_2E0 (s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,X0_2E0)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,X0_2E0)))).
% 1.94/2.17 all A_27t A_27w X0_2E0 (s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),X0_2E0)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),X0_2E0)))).
% 1.94/2.17 all A_27a A_27b V0x_2E0 (s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0)))))).
% 1.94/2.17 all A_27t A_27w (s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0)))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0)))))).
% 1.94/2.17 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.17 all A_27a V0x_2E0 (s(A_27a,V0x_2E0)=s(A_27a,V0x_2E0)<->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))).
% 1.94/2.17 -(all A_27t A_27w (s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))))))).
% 1.94/2.17 end_of_list.
% 1.94/2.17
% 1.94/2.17 -------> usable clausifies to:
% 1.94/2.17
% 1.94/2.17 list(usable).
% 1.94/2.17 0 [] A=A.
% 1.94/2.17 0 [] s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,$f1(A_27a,A_27b,V0f_2E0,V1g_2E0))))!=s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,$f1(A_27a,A_27b,V0f_2E0,V1g_2E0))))|s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0)=s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0))|s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,V0_2E0))| -p(s(tyop_2Emin_2Ebool,V1_2E0))|s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.94/2.17 0 [] s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0).
% 1.94/2.17 0 [] s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0)))=s(A_27a,V0x_2E0).
% 1.94/2.17 0 [] s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0)))=s(A_27a,V0x_2E0).
% 1.94/2.17 0 [] s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0)))=s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))|p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0))| -p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))|s(A_27a,V0_2E0)=s(A_27a,V1_2E0).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))|s(A_27a,V0_2E0)!=s(A_27a,V1_2E0).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,$f2(A_27a,V0f_2E0))))).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,$f3(A_27a,V0f_2E0))))).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,X0_2E0))| -p(s(tyop_2Emin_2Ebool,X1_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,X0_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,X1_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,X1_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,X1_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,X0_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,X1_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 1.94/2.17 0 [] -p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,X1_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 1.94/2.17 0 [] s(A_27a,X0_2E0)!=s(A_27a,X1_2E0)|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))).
% 1.94/2.17 0 [] s(A_27a,X0_2E0)=s(A_27a,X1_2E0)| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))).
% 1.94/2.17 0 [] s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))).
% 1.94/2.17 0 [] s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))).
% 1.94/2.17 0 [] s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),X0_2E0)))=s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),X0_2E0))).
% 1.94/2.17 0 [] s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),X0_2E0)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),X0_2E0))).
% 1.94/2.17 0 [] s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0)))=s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0))).
% 1.94/2.17 0 [] s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),X0_2E0)))=s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),X0_2E0))).
% 1.94/2.17 0 [] s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0))).
% 1.94/2.17 0 [] s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,X0_2E0)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))).
% 1.94/2.17 0 [] s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),X0_2E0)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),X0_2E0))).
% 1.94/2.17 0 [] s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))).
% 1.94/2.17 0 [] s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0)))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))).
% 1.94/2.17 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.17 0 [] s(A_27a,V0x_2E0)!=s(A_27a,V0x_2E0)|p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.17 0 [] s(A_27a,V0x_2E0)=s(A_27a,V0x_2E0)| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.17 0 [] s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod($c2,$c1)),c_2Ebool_2Ethe__value_2E0)))))!=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat($c2,$c1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat($c2,$c1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod($c2,$c1)),c_2Ebool_2Ethe__value_2E0))))))).
% 1.94/2.17 end_of_list.
% 1.94/2.17
% 1.94/2.17 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.94/2.17
% 1.94/2.17 This ia a non-Horn set with equality. The strategy will be
% 1.94/2.17 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.94/2.17 deletion, with positive clauses in sos and nonpositive
% 1.94/2.17 clauses in usable.
% 1.94/2.17
% 1.94/2.17 dependent: set(knuth_bendix).
% 1.94/2.17 dependent: set(anl_eq).
% 1.94/2.17 dependent: set(para_from).
% 1.94/2.17 dependent: set(para_into).
% 1.94/2.17 dependent: clear(para_from_right).
% 1.94/2.17 dependent: clear(para_into_right).
% 1.94/2.17 dependent: set(para_from_vars).
% 1.94/2.17 dependent: set(eq_units_both_ways).
% 1.94/2.17 dependent: set(dynamic_demod_all).
% 1.94/2.17 dependent: set(dynamic_demod).
% 1.94/2.17 dependent: set(order_eq).
% 1.94/2.17 dependent: set(back_demod).
% 1.94/2.17 dependent: set(lrpo).
% 1.94/2.17 dependent: set(hyper_res).
% 1.94/2.17 dependent: set(unit_deletion).
% 1.94/2.17 dependent: set(factor).
% 1.94/2.17
% 1.94/2.17 ------------> process usable:
% 1.94/2.17 ** KEPT (pick-wt=42): 1 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),C),s(B,$f1(B,A,C,D))))!=s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),D),s(B,$f1(B,A,C,D))))|s(tyop_2Emin_2Efun(B,A),C)=s(tyop_2Emin_2Efun(B,A),D).
% 1.94/2.17 ** KEPT (pick-wt=15): 2 [] -p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,B).
% 1.94/2.17 ** KEPT (pick-wt=4): 3 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.94/2.17 ** KEPT (pick-wt=14): 4 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))|p(s(tyop_2Emin_2Ebool,A)).
% 1.94/2.17 ** KEPT (pick-wt=14): 5 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))|p(s(tyop_2Emin_2Ebool,B)).
% 1.94/2.17 ** KEPT (pick-wt=18): 6 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,B)).
% 1.94/2.17 ** KEPT (pick-wt=18): 7 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))|p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B)).
% 1.94/2.17 ** KEPT (pick-wt=14): 8 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,A)).
% 1.94/2.17 ** KEPT (pick-wt=14): 9 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,B)).
% 1.94/2.18 ** KEPT (pick-wt=11): 10 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,A))))| -p(s(tyop_2Emin_2Ebool,A)).
% 1.94/2.18 ** KEPT (pick-wt=18): 11 [] -p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B)).
% 1.94/2.18 ** KEPT (pick-wt=14): 12 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,B)).
% 1.94/2.18 ** KEPT (pick-wt=17): 13 [] -p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A,B),s(A,C))))|s(A,B)=s(A,C).
% 1.94/2.18 ** KEPT (pick-wt=17): 14 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A,B),s(A,C))))|s(A,B)!=s(A,C).
% 1.94/2.18 ** KEPT (pick-wt=21): 15 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,C)))).
% 1.94/2.18 ** KEPT (pick-wt=23): 16 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,$f2(A,B))))).
% 1.94/2.18 ** KEPT (pick-wt=23): 17 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,$f3(A,B))))).
% 1.94/2.18 ** KEPT (pick-wt=21): 18 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,C)))).
% 1.94/2.18 ** KEPT (pick-wt=30): 19 [] -p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,B))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 1.94/2.18 ** KEPT (pick-wt=26): 20 [] p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 1.94/2.18 ** KEPT (pick-wt=26): 21 [] p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,B))),s(tyop_2Emin_2Ebool,A)))).
% 1.94/2.18 ** KEPT (pick-wt=26): 22 [] -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 1.94/2.18 ** KEPT (pick-wt=26): 23 [] -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,B))),s(tyop_2Emin_2Ebool,A)))).
% 1.94/2.18 ** KEPT (pick-wt=30): 24 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 1.94/2.18 ** KEPT (pick-wt=16): 25 [] -p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,A)))).
% 1.94/2.18 ** KEPT (pick-wt=26): 26 [] -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,B))),s(tyop_2Emin_2Ebool,A)))).
% 1.94/2.18 ** KEPT (pick-wt=30): 27 [] -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 1.94/2.18 ** KEPT (pick-wt=29): 28 [] s(A,B)!=s(A,C)|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A,B))),s(A,C)))).
% 1.94/2.18 ** KEPT (pick-wt=29): 29 [] s(A,B)=s(A,C)| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A,B))),s(A,C)))).
% 1.94/2.18 ** KEPT (pick-wt=11): 30 [] s(A,B)!=s(A,B)|p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.18 ** KEPT (pick-wt=11): 31 [] s(A,B)=s(A,B)| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.18 ** KEPT (pick-wt=32): 32 [] s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod($c2,$c1)),c_2Ebool_2Ethe__value_2E0)))))!=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat($c2,$c1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat($c2,$c1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod($c2,$c1)),c_2Ebool_2Ethe__value_2E0))))))).
% 1.94/2.18
% 1.94/2.18 ------------> process sos:
% 1.94/2.18 ** KEPT (pick-wt=3): 38 [] A=A.
% 1.94/2.18 ** KEPT (pick-wt=15): 39 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,B).
% 1.94/2.18 ** KEPT (pick-wt=4): 40 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.18 ** KEPT (pick-wt=14): 41 [] s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0).
% 1.94/2.18 ** KEPT (pick-wt=15): 42 [] s(A,app_2E2(s(tyop_2Emin_2Efun(A,A),combin_i_2E0),s(A,B)))=s(A,B).
% 1.94/2.18 ---> New Demodulator: 43 [new_demod,42] s(A,app_2E2(s(tyop_2Emin_2Efun(A,A),combin_i_2E0),s(A,B)))=s(A,B).
% 1.94/2.18 ** KEPT (pick-wt=25): 44 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(B,A)),combin_k_2E0),s(A,C))),s(B,D)))=s(A,C).
% 1.94/2.18 ---> New Demodulator: 45 [new_demod,44] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(B,A)),combin_k_2E0),s(A,C))),s(B,D)))=s(A,C).
% 1.94/2.18 ** KEPT (pick-wt=77): 46 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,C),tyop_2Emin_2Efun(B,A)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,C),tyop_2Emin_2Efun(B,A))),combin_s_2E0),s(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),D))),s(tyop_2Emin_2Efun(B,C),E))),s(B,F)))=s(A,app_2E2(s(tyop_2Emin_2Efun(C,A),app_2E2(s(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),D),s(B,F))),s(C,app_2E2(s(tyop_2Emin_2Efun(B,C),E),s(B,F))))).
% 1.94/2.18 ** KEPT (pick-wt=11): 47 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,A))))|p(s(tyop_2Emin_2Ebool,A)).
% 1.94/2.18 ** KEPT (pick-wt=14): 48 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))|p(s(tyop_2Emin_2Ebool,A)).
% 1.94/2.18 ** KEPT (pick-wt=16): 49 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,A)))).
% 1.94/2.18 ** KEPT (pick-wt=26): 50 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 1.94/2.18 ** KEPT (pick-wt=24): 51 [] s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))).
% 1.94/2.18 ---> New Demodulator: 52 [new_demod,51] s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))).
% 1.94/2.18 ** KEPT (pick-wt=24): 53 [] s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))).
% 1.94/2.18 ---> New Demodulator: 54 [new_demod,53] s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))).
% 1.94/2.18 ** KEPT (pick-wt=30): 55 [] s(tyop_2Ebinary__ieee_2Efloat(A,B),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),C)))=s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))).
% 1.94/2.18 ---> New Demodulator: 56 [new_demod,55] s(tyop_2Ebinary__ieee_2Efloat(A,B),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),C)))=s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))).
% 1.94/2.18 ** KEPT (pick-wt=24): 57 [] s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),C)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))).
% 1.94/2.18 ---> New Demodulator: 58 [new_demod,57] s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A,B),C)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))).
% 1.94/2.18 Following clause subsumed by 38 during input processing: 0 [demod,56] s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C)))=s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))).
% 1.94/2.18 ** KEPT (pick-wt=33): 59 [] s(tyop_2Ebinary__ieee_2Efloat(A,B),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C)))=s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C))).
% 1.94/2.18 ---> New Demodulator: 60 [new_demod,59] s(tyop_2Ebinary__ieee_2Efloat(A,B),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C)))=s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C))).
% 1.94/2.18 Following clause subsumed by 38 during input processing: 0 [demod,58] s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))).
% 1.94/2.18 ** KEPT (pick-wt=18): 61 [] s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,A)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,A))).
% 1.94/2.18 ---> New Demodulator: 62 [new_demod,61] s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,A)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,A))).
% 1.94/2.18 ** KEPT (pick-wt=27): 63 [] s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C))).
% 1.94/2.18 ---> New Demodulator: 64 [new_demod,63] s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C)))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),C))).
% 1.94/2.18 ** KEPT (pick-wt=53): 66 [copy,65,demod,56,58,58,62] s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C)))))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))))).
% 1.94/2.18 ---> New Demodulator: 67 [new_demod,66] s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C)))))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),C))))).
% 1.94/2.18 ** KEPT (pick-wt=49): 69 [copy,68,demod,64,60,58,flip.1] s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),c_2Ebool_2Ethe__value_2E0))).
% 1.94/2.18 ---> New Demodulator: 70 [new_demod,69] s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A,B),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(A,B),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Ebinary__ieee_2Efloat(A,B)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A,B)),c_2Ebool_2Ethe__value_2E0))).
% 1.94/2.18 Following clause subsumed by 40 during input processing: 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.94/2.18 Following clause subsumed by 38 during input processing: 0 [copy,38,flip.1] A=A.
% 1.94/2.18 38 back subsumes 33.
% 1.94/2.18 38 back subsumes 31.
% 1.94/2.18 40 back subsumes 30.
% 1.94/2.18 >>>> Starting back demodulation with 43.
% 1.94/2.18 >>>> Starting back demodulation with 45.
% 1.94/2.18 ** KEPT (pick-wt=77): 71 [copy,46,flip.1] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A)),D),s(C,E))),s(B,app_2E2(s(tyop_2Emin_2Efun(C,B),F),s(C,
% 1.94/2.18 -------- PROOF --------
% 1.94/2.18 E)))))=s(A,app_2E2(s(tyop_2Emin_2Efun(C,A),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(C,B),tyop_2Emin_2Efun(C,A)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(C,B),tyop_2Emin_2Efun(C,A))),combin_s_2E0),s(tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A)),D))),s(tyop_2Emin_2Efun(C,B),F))),s(C,E))).
% 1.94/2.18 >>>> Starting back demodulation with 52.
% 1.94/2.18 >> back demodulating 16 with 52.
% 1.94/2.18 >> back demodulating 15 with 52.
% 1.94/2.18 >>>> Starting back demodulation with 54.
% 1.94/2.18 >> back demodulating 18 with 54.
% 1.94/2.18 >> back demodulating 17 with 54.
% 1.94/2.18 >>>> Starting back demodulation with 56.
% 1.94/2.18 >> back demodulating 32 with 56.
% 1.94/2.18
% 1.94/2.18 ----> UNIT CONFLICT at 0.01 sec ----> 77 [binary,76.1,38.1] $F.
% 1.94/2.18
% 1.94/2.18 Length of proof is 3. Level of proof is 2.
% 1.94/2.18
% 1.94/2.18 ---------------- PROOF ----------------
% 1.94/2.18 % SZS status Theorem
% 1.94/2.18 % SZS output start Refutation
% See solution above
% 1.94/2.18 ------------ end of proof -------------
% 1.94/2.18
% 1.94/2.18
% 1.94/2.18 Search stopped by max_proofs option.
% 1.94/2.18
% 1.94/2.18
% 1.94/2.18 Search stopped by max_proofs option.
% 1.94/2.18
% 1.94/2.18 ============ end of search ============
% 1.94/2.18
% 1.94/2.18 -------------- statistics -------------
% 1.94/2.18 clauses given 0
% 1.94/2.18 clauses generated 6
% 1.94/2.18 clauses kept 63
% 1.94/2.18 clauses forward subsumed 5
% 1.94/2.18 clauses back subsumed 3
% 1.94/2.18 Kbytes malloced 3906
% 1.94/2.18
% 1.94/2.18 ----------- times (seconds) -----------
% 1.94/2.18 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.94/2.18 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.18 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.94/2.18
% 1.94/2.18 That finishes the proof of the theorem.
% 1.94/2.18
% 1.94/2.18 Process 14567 finished Wed Jul 27 02:11:50 2022
% 1.94/2.18 Otter interrupted
% 1.94/2.18 PROOF FOUND
%------------------------------------------------------------------------------