%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ITP019+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 12:59:08 EDT 2022
% Result : Theorem 2.65s 2.79s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 13 ( 12 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(30,axiom,
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
| s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
file('ITP019+1.p',unknown),
[] ).
cnf(32,axiom,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),dollar_c1) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('ITP019+1.p',unknown),
[] ).
cnf(33,plain,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),dollar_c1),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[32])]),
[iquote('copy,32,flip.1')] ).
cnf(39,axiom,
A = A,
file('ITP019+1.p',unknown),
[] ).
cnf(57,axiom,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__inv_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))),
file('ITP019+1.p',unknown),
[] ).
cnf(59,axiom,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,A))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,A))),
file('ITP019+1.p',unknown),
[] ).
cnf(60,axiom,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),dollar_c1))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('ITP019+1.p',unknown),
[] ).
cnf(61,plain,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__inv_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),dollar_c1))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[60]),57,59]),
[iquote('copy,60,demod,57,59')] ).
cnf(69,plain,
( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__inv_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
| s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[30]),57,59,59]),
[iquote('back_demod,30,demod,57,59,59')] ).
cnf(70,plain,
s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),dollar_c1),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[33]),59]),
[iquote('back_demod,33,demod,59')] ).
cnf(794,plain,
$false,
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[69,61]),39,70]),
[iquote('para_into,69.1.1,61.1.1,unit_del,39,70')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP019+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 02:40:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.75/1.94 ----- Otter 3.3f, August 2004 -----
% 1.75/1.94 The process was started by sandbox2 on n009.cluster.edu,
% 1.75/1.94 Wed Jul 27 02:40:21 2022
% 1.75/1.94 The command was "./otter". The process ID is 23779.
% 1.75/1.94
% 1.75/1.94 set(prolog_style_variables).
% 1.75/1.94 set(auto).
% 1.75/1.94 dependent: set(auto1).
% 1.75/1.94 dependent: set(process_input).
% 1.75/1.94 dependent: clear(print_kept).
% 1.75/1.94 dependent: clear(print_new_demod).
% 1.75/1.94 dependent: clear(print_back_demod).
% 1.75/1.94 dependent: clear(print_back_sub).
% 1.75/1.94 dependent: set(control_memory).
% 1.75/1.94 dependent: assign(max_mem, 12000).
% 1.75/1.94 dependent: assign(pick_given_ratio, 4).
% 1.75/1.94 dependent: assign(stats_level, 1).
% 1.75/1.94 dependent: assign(max_seconds, 10800).
% 1.75/1.94 clear(print_given).
% 1.75/1.94
% 1.75/1.94 formula_list(usable).
% 1.75/1.94 all A (A=A).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.94 -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 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)))))).
% 1.75/1.94 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))).
% 1.75/1.94 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))).
% 1.75/1.94 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))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)).
% 1.75/1.94 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)))))).
% 1.75/1.94 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)))))).
% 1.75/1.94 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))))).
% 1.75/1.94 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))))).
% 1.75/1.94 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))))).
% 1.75/1.94 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))))).
% 1.75/1.94 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))))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 all X0_2E0 (s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__inv_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0)))).
% 1.75/1.94 all X0_2E0 (s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,X0_2E0)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,X0_2E0)))).
% 1.75/1.94 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.94 all A_27a V0t_2E0 ((all V1x_2E0 p(s(tyop_2Emin_2Ebool,V0t_2E0)))<->p(s(tyop_2Emin_2Ebool,V0t_2E0))).
% 1.75/1.94 all V0t_2E0 (((p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))->p(s(tyop_2Emin_2Ebool,V0t_2E0)))<->p(s(tyop_2Emin_2Ebool,V0t_2E0)))& ((p(s(tyop_2Emin_2Ebool,V0t_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))<->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))& ((p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))->p(s(tyop_2Emin_2Ebool,V0t_2E0)))<->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))& ((p(s(tyop_2Emin_2Ebool,V0t_2E0))->p(s(tyop_2Emin_2Ebool,V0t_2E0)))<->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))& ((p(s(tyop_2Emin_2Ebool,V0t_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))<-> -p(s(tyop_2Emin_2Ebool,V0t_2E0)))).
% 1.75/1.94 all V0z_2E0 (s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0z_2E0)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))<->s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0z_2E0)=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))).
% 1.75/1.94 -(all V0z_2E0 (s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0z_2E0)!=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))->s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0z_2E0)))!=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))).
% 1.75/1.94 end_of_list.
% 1.75/1.94
% 1.75/1.94 -------> usable clausifies to:
% 1.75/1.94
% 1.75/1.94 list(usable).
% 1.75/1.94 0 [] A=A.
% 1.75/1.94 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).
% 1.75/1.94 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).
% 1.75/1.94 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).
% 1.75/1.94 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.94 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.75/1.94 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).
% 1.75/1.94 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).
% 1.75/1.94 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).
% 1.75/1.94 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))))).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 1.75/1.94 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 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)).
% 1.75/1.94 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).
% 1.75/1.94 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).
% 1.75/1.94 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)))).
% 1.75/1.94 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))))).
% 1.75/1.94 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))))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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)))).
% 1.75/1.94 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))).
% 1.75/1.94 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))).
% 1.75/1.94 0 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__inv_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0))).
% 1.75/1.94 0 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,X0_2E0)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,X0_2E0))).
% 1.75/1.94 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.94 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|p(s(tyop_2Emin_2Ebool,V0t_2E0))| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.94 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.94 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))| -p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 1.75/1.94 0 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0z_2E0)))!=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))|s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0z_2E0)=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))).
% 1.75/1.94 0 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0z_2E0)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))|s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0z_2E0)!=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))).
% 1.75/1.94 0 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),$c1)!=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))).
% 1.75/1.94 0 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),$c1)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))).
% 1.75/1.94 end_of_list.
% 1.75/1.94
% 1.75/1.94 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.75/1.94
% 1.75/1.94 This ia a non-Horn set with equality. The strategy will be
% 1.75/1.94 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.75/1.94 deletion, with positive clauses in sos and nonpositive
% 1.75/1.94 clauses in usable.
% 1.75/1.94
% 1.75/1.94 dependent: set(knuth_bendix).
% 1.75/1.94 dependent: set(anl_eq).
% 1.75/1.94 dependent: set(para_from).
% 1.75/1.94 dependent: set(para_into).
% 1.75/1.94 dependent: clear(para_from_right).
% 1.75/1.94 dependent: clear(para_into_right).
% 1.75/1.94 dependent: set(para_from_vars).
% 1.75/1.95 dependent: set(eq_units_both_ways).
% 1.75/1.95 dependent: set(dynamic_demod_all).
% 1.75/1.95 dependent: set(dynamic_demod).
% 1.75/1.95 dependent: set(order_eq).
% 1.75/1.95 dependent: set(back_demod).
% 1.75/1.95 dependent: set(lrpo).
% 1.75/1.95 dependent: set(hyper_res).
% 1.75/1.95 dependent: set(unit_deletion).
% 1.75/1.95 dependent: set(factor).
% 1.75/1.95
% 1.75/1.95 ------------> process usable:
% 1.75/1.95 ** KEPT (pick-wt=42): 1 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),C),s(B,$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).
% 1.75/1.95 ** 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).
% 1.75/1.95 ** KEPT (pick-wt=4): 3 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.75/1.95 ** 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)).
% 1.75/1.95 ** 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)).
% 1.75/1.95 ** 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)).
% 1.75/1.95 ** 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)).
% 1.75/1.95 ** 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)).
% 1.75/1.95 ** 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)).
% 1.75/1.95 ** 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)).
% 1.75/1.95 ** 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)).
% 1.75/1.95 ** 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)).
% 1.75/1.95 ** 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).
% 1.75/1.95 ** 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).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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))))).
% 1.75/1.95 ** 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))))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 ** 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)))).
% 1.75/1.95 Following clause subsumed by 3 during input processing: 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.95 Following clause subsumed by 3 during input processing: 0 [factor_simp] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.75/1.95 ** KEPT (pick-wt=33): 30 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)))!=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))|s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))).
% 1.75/1.95 ** KEPT (pick-wt=33): 31 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))|s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)!=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))).
% 1.75/1.95 ** KEPT (pick-wt=14): 33 [copy,32,flip.1] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))!=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),$c1).
% 1.75/1.95
% 1.75/1.95 ------------> process sos:
% 1.75/1.95 ** KEPT (pick-wt=3): 39 [] A=A.
% 1.75/1.95 ** KEPT (pick-wt=15): 40 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,B).
% 1.75/1.95 ** KEPT (pick-wt=4): 41 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.95 ** KEPT (pick-wt=14): 42 [] 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).
% 1.75/1.95 ** KEPT (pick-wt=15): 43 [] s(A,app_2E2(s(tyop_2Emin_2Efun(A,A),combin_i_2E0),s(A,B)))=s(A,B).
% 1.75/1.95 ---> New Demodulator: 44 [new_demod,43] s(A,app_2E2(s(tyop_2Emin_2Efun(A,A),combin_i_2E0),s(A,B)))=s(A,B).
% 1.75/1.95 ** KEPT (pick-wt=25): 45 [] 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).
% 1.75/1.95 ---> New Demodulator: 46 [new_demod,45] 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).
% 1.75/1.95 ** KEPT (pick-wt=77): 47 [] 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))))).
% 1.75/1.95 ** KEPT (pick-wt=11): 48 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,A))))|p(s(tyop_2Emin_2Ebool,A)).
% 1.75/1.95 ** KEPT (pick-wt=14): 49 [] 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)).
% 1.75/1.95 ** KEPT (pick-wt=16): 50 [] 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)))).
% 1.75/1.95 ** KEPT (pick-wt=26): 51 [] 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)))).
% 1.75/1.95 ** KEPT (pick-wt=24): 52 [] 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))).
% 1.75/1.95 ---> New Demodulator: 53 [new_demod,52] 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))).
% 1.75/1.95 ** KEPT (pick-wt=24): 54 [] 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))).
% 1.75/1.95 ---> New Demodulator: 55 [new_demod,54] 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))).
% 1.75/1.95 ** KEPT (pick-wt=30): 56 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__inv_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))).
% 1.75/1.95 ---> New Demodulator: 57 [new_demod,56] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__inv_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))).
% 1.75/1.95 ** KEPT (pick-wt=24): 58 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,A)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,A))).
% 1.75/1.95 ---> New Demodulator: 59 [new_demod,58] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,A)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,A))).
% 1.75/1.95 Following clause subsumed by 41 during input processing: 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.95 Following clause subsumed by 41 during input processing: 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.75/1.95 ** KEPT (pick-wt=35): 61 [copy,60,demod,57,59] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__inv_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),$c1)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))).
% 1.75/1.95 ---> New Demodulator: 62 [new_demod,61] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__inv_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),$c1)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ecomplex_2Ecomplex__of__num_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))).
% 1.75/1.95 Following clause subsumed by 39 during input processing: 0 [copy,39,flip.1] A=A.
% 1.75/1.95 39 back subsumes 34.
% 1.75/1.95 >>>> Starting back demodulation with 44.
% 1.75/1.95 >>>> Starting back demodulation with 46.
% 1.75/1.95 ** KEPT (pick-wt=77): 63 [copy,47,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,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))).
% 1.75/1.95 >>>> Starting back demodulation with 53.
% 1.75/1.95 >> back demodulating 16 with 53.
% 1.75/1.95 >> back demodulating 15 with 53.
% 1.75/1.95 >>>> Starting back demodulation with 55.
% 1.75/1.95 >> back demodulating 18 with 55.
% 1.75/1.95 >> back demodulating 17 with 55.
% 1.75/1.95 >>>> Starting back demodulation with 57.
% 1.75/1.95 >> back demodulating 31 with 57.
% 1.75/1.95 >> back demodulating 30 with 57.
% 1.75/1.95 >>>> Starting back demodulation with 59.
% 1.75/1.95 >> back demodulating 33 with 59.
% 1.75/1.95 >>>> Starting back demodulation with 62.
% 1.75/1.95 Following clause subsumed by 47 during input processing: 0 [copy,63,flip.1] 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))))).
% 1.75/1.95
% 1.75/1.95 ======= end of input processing =======
% 2.65/2.79
% 2.65/2.79 =========== start of search ===========
% 2.65/2.79
% 2.65/2.79
% 2.65/2.79 Resetting weight limit to 17.
% 2.65/2.79
% 2.65/2.79
% 2.65/2.79 Resetting weight limit to 17.
% 2.65/2.79
% 2.65/2.79 sos_size=410
% 2.65/2.79
% 2.65/2.79 -------- PROOF --------
% 2.65/2.79
% 2.65/2.79 -----> EMPTY CLAUSE at 0.85 sec ----> 794 [para_into,69.1.1,61.1.1,unit_del,39,70] $F.
% 2.65/2.79
% 2.65/2.79 Length of proof is 4. Level of proof is 2.
% 2.65/2.79
% 2.65/2.79 ---------------- PROOF ----------------
% 2.65/2.79 % SZS status Theorem
% 2.65/2.79 % SZS output start Refutation
% See solution above
% 2.65/2.79 ------------ end of proof -------------
% 2.65/2.79
% 2.65/2.79
% 2.65/2.79 Search stopped by max_proofs option.
% 2.65/2.79
% 2.65/2.79
% 2.65/2.79 Search stopped by max_proofs option.
% 2.65/2.79
% 2.65/2.79 ============ end of search ============
% 2.65/2.79
% 2.65/2.79 -------------- statistics -------------
% 2.65/2.79 clauses given 101
% 2.65/2.79 clauses generated 27638
% 2.65/2.79 clauses kept 759
% 2.65/2.79 clauses forward subsumed 7348
% 2.65/2.79 clauses back subsumed 13
% 2.65/2.79 Kbytes malloced 6835
% 2.65/2.79
% 2.65/2.79 ----------- times (seconds) -----------
% 2.65/2.79 user CPU time 0.85 (0 hr, 0 min, 0 sec)
% 2.65/2.79 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.65/2.79 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.65/2.79
% 2.65/2.79 That finishes the proof of the theorem.
% 2.65/2.79
% 2.65/2.79 Process 23779 finished Wed Jul 27 02:40:24 2022
% 2.65/2.79 Otter interrupted
% 2.65/2.79 PROOF FOUND
%------------------------------------------------------------------------------