%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 12:58:51 EDT 2022
% Result : Theorem 1.87s 2.16s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(32,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('ITP001+1.p',unknown),
[] ).
cnf(40,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('ITP001+1.p',unknown),
[] ).
cnf(41,plain,
$false,
inference(binary,[status(thm)],[40,32]),
[iquote('binary,40.1,32.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.19 % Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.20 % Command : otter-tptp-script %s
% 0.13/0.40 % Computer : n021.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8042.1875MB
% 0.13/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.40 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Wed Jul 27 02:39:53 EDT 2022
% 0.13/0.41 % CPUTime :
% 1.87/2.16 ----- Otter 3.3f, August 2004 -----
% 1.87/2.16 The process was started by sandbox on n021.cluster.edu,
% 1.87/2.16 Wed Jul 27 02:39:53 2022
% 1.87/2.16 The command was "./otter". The process ID is 5683.
% 1.87/2.16
% 1.87/2.16 set(prolog_style_variables).
% 1.87/2.16 set(auto).
% 1.87/2.16 dependent: set(auto1).
% 1.87/2.16 dependent: set(process_input).
% 1.87/2.16 dependent: clear(print_kept).
% 1.87/2.16 dependent: clear(print_new_demod).
% 1.87/2.16 dependent: clear(print_back_demod).
% 1.87/2.16 dependent: clear(print_back_sub).
% 1.87/2.16 dependent: set(control_memory).
% 1.87/2.16 dependent: assign(max_mem, 12000).
% 1.87/2.16 dependent: assign(pick_given_ratio, 4).
% 1.87/2.16 dependent: assign(stats_level, 1).
% 1.87/2.16 dependent: assign(max_seconds, 10800).
% 1.87/2.16 clear(print_given).
% 1.87/2.16
% 1.87/2.16 formula_list(usable).
% 1.87/2.16 all A (A=A).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.87/2.16 -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 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)))))).
% 1.87/2.16 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))).
% 1.87/2.16 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))).
% 1.87/2.16 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))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)).
% 1.87/2.16 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)))))).
% 1.87/2.16 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)))))).
% 1.87/2.16 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))))).
% 1.87/2.16 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))))).
% 1.87/2.16 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))))).
% 1.87/2.16 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))))).
% 1.87/2.16 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))))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))<-> (all V0x_2E0 (s(tyop_2Emin_2Ebool,V0x_2E0)=s(tyop_2Emin_2Ebool,V0x_2E0))).
% 1.87/2.16 -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.87/2.16 end_of_list.
% 1.87/2.16
% 1.87/2.16 -------> usable clausifies to:
% 1.87/2.16
% 1.87/2.16 list(usable).
% 1.87/2.16 0 [] A=A.
% 1.87/2.16 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).
% 1.87/2.16 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).
% 1.87/2.16 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).
% 1.87/2.16 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.87/2.16 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.87/2.16 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).
% 1.87/2.16 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).
% 1.87/2.16 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).
% 1.87/2.16 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))))).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 1.87/2.16 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 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)).
% 1.87/2.16 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).
% 1.87/2.16 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).
% 1.87/2.16 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)))).
% 1.87/2.16 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))))).
% 1.87/2.16 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))))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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)))).
% 1.87/2.16 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))).
% 1.87/2.16 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))).
% 1.87/2.16 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|s(tyop_2Emin_2Ebool,V0x_2E0)=s(tyop_2Emin_2Ebool,V0x_2E0).
% 1.87/2.16 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|s(tyop_2Emin_2Ebool,$c1)!=s(tyop_2Emin_2Ebool,$c1).
% 1.87/2.16 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.87/2.16 end_of_list.
% 1.87/2.16
% 1.87/2.16 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.87/2.16
% 1.87/2.16 This ia a non-Horn set with equality. The strategy will be
% 1.87/2.16 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.87/2.16 deletion, with positive clauses in sos and nonpositive
% 1.87/2.16 clauses in usable.
% 1.87/2.16
% 1.87/2.16 dependent: set(knuth_bendix).
% 1.87/2.16 dependent: set(anl_eq).
% 1.87/2.16 dependent: set(para_from).
% 1.87/2.16 dependent: set(para_into).
% 1.87/2.16 dependent: clear(para_from_right).
% 1.87/2.16 dependent: clear(para_into_right).
% 1.87/2.16 dependent: set(para_from_vars).
% 1.87/2.16 dependent: set(eq_units_both_ways).
% 1.87/2.16 dependent: set(dynamic_demod_all).
% 1.87/2.16 dependent: set(dynamic_demod).
% 1.87/2.16 dependent: set(order_eq).
% 1.87/2.16 dependent: set(back_demod).
% 1.87/2.16 dependent: set(lrpo).
% 1.87/2.16 dependent: set(hyper_res).
% 1.87/2.16 dependent: set(unit_deletion).
% 1.87/2.16 dependent: set(factor).
% 1.87/2.16
% 1.87/2.16 ------------> process usable:
% 1.87/2.16 ** KEPT (pick-wt=42): 1 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),C),s(B,$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).
% 1.87/2.16 ** 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).
% 1.87/2.16 ** KEPT (pick-wt=4): 3 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 1.87/2.16 ** 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)).
% 1.87/2.16 ** 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)).
% 1.87/2.16 ** 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)).
% 1.87/2.16 ** 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)).
% 1.87/2.16 ** 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)).
% 1.87/2.16 ** 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)).
% 1.87/2.16 ** 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)).
% 1.87/2.16 ** 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)).
% 1.87/2.16 ** 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)).
% 1.87/2.16 ** 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).
% 1.87/2.16 ** 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).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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))))).
% 1.87/2.16 ** 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))))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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_2E
% 1.87/2.16 -------- PROOF --------
% 1.87/2.16 bool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** 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)))).
% 1.87/2.16 ** KEPT (pick-wt=11): 30 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,A).
% 1.87/2.16 ** KEPT (pick-wt=11): 31 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|s(tyop_2Emin_2Ebool,$c1)!=s(tyop_2Emin_2Ebool,$c1).
% 1.87/2.16 ** KEPT (pick-wt=4): 32 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.87/2.16 32 back subsumes 30.
% 1.87/2.16
% 1.87/2.16 ------------> process sos:
% 1.87/2.16 ** KEPT (pick-wt=3): 38 [] A=A.
% 1.87/2.16 ** 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).
% 1.87/2.16 ** KEPT (pick-wt=4): 40 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 1.87/2.16
% 1.87/2.16 ----> UNIT CONFLICT at 0.00 sec ----> 41 [binary,40.1,32.1] $F.
% 1.87/2.16
% 1.87/2.16 Length of proof is 0. Level of proof is 0.
% 1.87/2.16
% 1.87/2.16 ---------------- PROOF ----------------
% 1.87/2.16 % SZS status Theorem
% 1.87/2.16 % SZS output start Refutation
% See solution above
% 1.87/2.16 ------------ end of proof -------------
% 1.87/2.16
% 1.87/2.16
% 1.87/2.16 Search stopped by max_proofs option.
% 1.87/2.16
% 1.87/2.16
% 1.87/2.16 Search stopped by max_proofs option.
% 1.87/2.16
% 1.87/2.16 ============ end of search ============
% 1.87/2.16
% 1.87/2.16 -------------- statistics -------------
% 1.87/2.16 clauses given 0
% 1.87/2.16 clauses generated 5
% 1.87/2.16 clauses kept 40
% 1.87/2.16 clauses forward subsumed 0
% 1.87/2.16 clauses back subsumed 1
% 1.87/2.16 Kbytes malloced 1953
% 1.87/2.16
% 1.87/2.16 ----------- times (seconds) -----------
% 1.87/2.16 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.87/2.16 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.87/2.16 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.87/2.16
% 1.87/2.16 That finishes the proof of the theorem.
% 1.87/2.16
% 1.87/2.16 Process 5683 finished Wed Jul 27 02:39:55 2022
% 1.87/2.16 Otter interrupted
% 1.87/2.16 PROOF FOUND
%------------------------------------------------------------------------------