TSTP Solution File: SEU429+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0.
% 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 13:16:14 EDT 2022
% Result : Theorem 1.99s 2.19s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of clauses : 6 ( 5 unt; 1 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ v1_xboole_0(dollar_c4),
file('SEU429+1.p',unknown),
[] ).
cnf(2,axiom,
~ m1_subset_1(a_4_1_relset_2(dollar_c4,dollar_c3,dollar_c2,dollar_c1),k1_zfmisc_1(k1_zfmisc_1(dollar_c3))),
file('SEU429+1.p',unknown),
[] ).
cnf(32,axiom,
( v1_xboole_0(A)
| ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
| ~ m2_relset_1(C,A,D)
| m1_subset_1(a_4_1_relset_2(A,D,B,C),k1_zfmisc_1(k1_zfmisc_1(D))) ),
file('SEU429+1.p',unknown),
[] ).
cnf(48,axiom,
m1_subset_1(dollar_c2,k1_zfmisc_1(k1_zfmisc_1(dollar_c4))),
file('SEU429+1.p',unknown),
[] ).
cnf(49,axiom,
m2_relset_1(dollar_c1,dollar_c4,dollar_c3),
file('SEU429+1.p',unknown),
[] ).
cnf(102,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[49,32,48]),1,2]),
[iquote('hyper,49,32,48,unit_del,1,2')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 07:24:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.99/2.19 ----- Otter 3.3f, August 2004 -----
% 1.99/2.19 The process was started by sandbox2 on n017.cluster.edu,
% 1.99/2.19 Wed Jul 27 07:24:33 2022
% 1.99/2.19 The command was "./otter". The process ID is 13076.
% 1.99/2.19
% 1.99/2.19 set(prolog_style_variables).
% 1.99/2.19 set(auto).
% 1.99/2.19 dependent: set(auto1).
% 1.99/2.19 dependent: set(process_input).
% 1.99/2.19 dependent: clear(print_kept).
% 1.99/2.19 dependent: clear(print_new_demod).
% 1.99/2.19 dependent: clear(print_back_demod).
% 1.99/2.19 dependent: clear(print_back_sub).
% 1.99/2.19 dependent: set(control_memory).
% 1.99/2.19 dependent: assign(max_mem, 12000).
% 1.99/2.19 dependent: assign(pick_given_ratio, 4).
% 1.99/2.19 dependent: assign(stats_level, 1).
% 1.99/2.19 dependent: assign(max_seconds, 10800).
% 1.99/2.19 clear(print_given).
% 1.99/2.19
% 1.99/2.19 formula_list(usable).
% 1.99/2.19 all A (A=A).
% 1.99/2.19 -(all A (-v1_xboole_0(A)-> (all B C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))-> (all D (m2_relset_1(D,A,B)->m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))))))))).
% 1.99/2.19 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 1.99/2.19 all A (v1_xboole_0(A)->v1_relat_1(A)).
% 1.99/2.19 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 1.99/2.19 all A B C (m1_subset_1(C,k1_zfmisc_1(A))-> (all D (m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))->k7_relset_2(A,B,C,D)=k8_setfam_1(B,k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)))))).
% 1.99/2.19 $T.
% 1.99/2.19 $T.
% 1.99/2.19 $T.
% 1.99/2.19 all A m1_e_qrel_1(k3_pua2mss1(A),A).
% 1.99/2.19 all A B C D (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))->m1_subset_1(k4_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))).
% 1.99/2.19 all A B (v1_relat_1(B)->v1_relat_1(k5_relset_2(A,B))&v1_funct_1(k5_relset_2(A,B))).
% 1.99/2.19 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))->v1_funct_1(k6_relset_2(A,B,C))&v1_funct_2(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A))&m2_relset_1(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A))).
% 1.99/2.19 $T.
% 1.99/2.19 all A B C D (m1_subset_1(C,k1_zfmisc_1(A))&m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))->m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B))).
% 1.99/2.19 all A B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))->m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A))).
% 1.99/2.19 $T.
% 1.99/2.19 all A B (m1_e_qrel_1(B,A)->m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))).
% 1.99/2.19 $T.
% 1.99/2.19 $T.
% 1.99/2.19 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 1.99/2.19 all A exists B m1_e_qrel_1(B,A).
% 1.99/2.19 all A B exists C m1_relset_1(C,A,B).
% 1.99/2.19 all A exists B m1_subset_1(B,A).
% 1.99/2.19 all A B exists C m2_relset_1(C,A,B).
% 1.99/2.19 v1_xboole_0(k1_xboole_0).
% 1.99/2.19 v1_relat_1(k1_xboole_0).
% 1.99/2.19 v3_relat_1(k1_xboole_0).
% 1.99/2.19 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 1.99/2.19 all A B v1_relat_1(k2_zfmisc_1(A,B)).
% 1.99/2.19 v1_xboole_0(k1_xboole_0).
% 1.99/2.19 v1_relat_1(k1_xboole_0).
% 1.99/2.19 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 1.99/2.19 all A B C D E (-v1_xboole_0(B)&m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B)))&m2_relset_1(E,B,C)-> (r2_hidden(A,a_4_1_relset_2(B,C,D,E))<-> (exists F (m1_subset_1(F,k1_zfmisc_1(B))&A=k8_relset_2(B,C,F,E)&r2_hidden(F,D))))).
% 1.99/2.19 exists A (v1_xboole_0(A)&v1_relat_1(A)).
% 1.99/2.19 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 1.99/2.19 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)).
% 1.99/2.19 exists A (-v1_xboole_0(A)&v1_relat_1(A)).
% 1.99/2.19 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 1.99/2.19 exists A (v1_relat_1(A)&v3_relat_1(A)).
% 1.99/2.19 all A B C D (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))->k4_relset_2(A,B,C,D)=k9_relat_1(C,D)).
% 1.99/2.19 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))->k6_relset_2(A,B,C)=k5_relset_2(B,C)).
% 1.99/2.19 all A B C D (m1_subset_1(C,k1_zfmisc_1(A))&m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))->k8_relset_2(A,B,C,D)=k7_relset_2(A,B,C,D)).
% 1.99/2.19 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 1.99/2.19 all A B r1_tarski(A,A).
% 1.99/2.19 all A B C D (-v1_xboole_0(A)&m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))&m2_relset_1(D,A,B)->m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))).
% 1.99/2.19 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 1.99/2.19 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 1.99/2.19 all A B ((all C (r2_hidden(C,A)<->r2_hidden(C,B)))->A=B).
% 1.99/2.19 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 1.99/2.19 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 1.99/2.19 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 1.99/2.19 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 1.99/2.19 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 1.99/2.19 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 1.99/2.19 end_of_list.
% 1.99/2.19
% 1.99/2.19 -------> usable clausifies to:
% 1.99/2.19
% 1.99/2.19 list(usable).
% 1.99/2.19 0 [] A=A.
% 1.99/2.19 0 [] -v1_xboole_0($c4).
% 1.99/2.19 0 [] m1_subset_1($c2,k1_zfmisc_1(k1_zfmisc_1($c4))).
% 1.99/2.19 0 [] m2_relset_1($c1,$c4,$c3).
% 1.99/2.19 0 [] -m1_subset_1(a_4_1_relset_2($c4,$c3,$c2,$c1),k1_zfmisc_1(k1_zfmisc_1($c3))).
% 1.99/2.19 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 1.99/2.19 0 [] -v1_xboole_0(A)|v1_relat_1(A).
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(A))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))|k7_relset_2(A,B,C,D)=k8_setfam_1(B,k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C))).
% 1.99/2.19 0 [] $T.
% 1.99/2.19 0 [] $T.
% 1.99/2.19 0 [] $T.
% 1.99/2.19 0 [] m1_e_qrel_1(k3_pua2mss1(A),A).
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))|m1_subset_1(k4_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))).
% 1.99/2.19 0 [] -v1_relat_1(B)|v1_relat_1(k5_relset_2(A,B)).
% 1.99/2.19 0 [] -v1_relat_1(B)|v1_funct_1(k5_relset_2(A,B)).
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|v1_funct_1(k6_relset_2(A,B,C)).
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|v1_funct_2(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A)).
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|m2_relset_1(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A)).
% 1.99/2.19 0 [] $T.
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(A))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))|m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B)).
% 1.99/2.19 0 [] -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))|m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)).
% 1.99/2.19 0 [] $T.
% 1.99/2.19 0 [] -m1_e_qrel_1(B,A)|m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))).
% 1.99/2.19 0 [] $T.
% 1.99/2.19 0 [] $T.
% 1.99/2.19 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 1.99/2.19 0 [] m1_e_qrel_1($f1(A),A).
% 1.99/2.19 0 [] m1_relset_1($f2(A,B),A,B).
% 1.99/2.19 0 [] m1_subset_1($f3(A),A).
% 1.99/2.19 0 [] m2_relset_1($f4(A,B),A,B).
% 1.99/2.19 0 [] v1_xboole_0(k1_xboole_0).
% 1.99/2.19 0 [] v1_relat_1(k1_xboole_0).
% 1.99/2.19 0 [] v3_relat_1(k1_xboole_0).
% 1.99/2.19 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 1.99/2.19 0 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 1.99/2.19 0 [] v1_xboole_0(k1_xboole_0).
% 1.99/2.19 0 [] v1_relat_1(k1_xboole_0).
% 1.99/2.19 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 1.99/2.19 0 [] v1_xboole_0(B)| -m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B)))| -m2_relset_1(E,B,C)| -r2_hidden(A,a_4_1_relset_2(B,C,D,E))|m1_subset_1($f5(A,B,C,D,E),k1_zfmisc_1(B)).
% 1.99/2.19 0 [] v1_xboole_0(B)| -m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B)))| -m2_relset_1(E,B,C)| -r2_hidden(A,a_4_1_relset_2(B,C,D,E))|A=k8_relset_2(B,C,$f5(A,B,C,D,E),E).
% 1.99/2.19 0 [] v1_xboole_0(B)| -m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B)))| -m2_relset_1(E,B,C)| -r2_hidden(A,a_4_1_relset_2(B,C,D,E))|r2_hidden($f5(A,B,C,D,E),D).
% 1.99/2.19 0 [] v1_xboole_0(B)| -m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B)))| -m2_relset_1(E,B,C)|r2_hidden(A,a_4_1_relset_2(B,C,D,E))| -m1_subset_1(F,k1_zfmisc_1(B))|A!=k8_relset_2(B,C,F,E)| -r2_hidden(F,D).
% 1.99/2.19 0 [] v1_xboole_0($c5).
% 1.99/2.19 0 [] v1_relat_1($c5).
% 1.99/2.19 0 [] v1_xboole_0(A)|m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 1.99/2.19 0 [] v1_xboole_0(A)| -v1_xboole_0($f6(A)).
% 1.99/2.19 0 [] m1_relset_1($f7(A,B),A,B).
% 1.99/2.19 0 [] v1_relat_1($f7(A,B)).
% 1.99/2.19 0 [] v1_funct_1($f7(A,B)).
% 1.99/2.19 0 [] -v1_xboole_0($c6).
% 1.99/2.19 0 [] v1_relat_1($c6).
% 1.99/2.19 0 [] m1_subset_1($f8(A),k1_zfmisc_1(A)).
% 1.99/2.19 0 [] v1_xboole_0($f8(A)).
% 1.99/2.19 0 [] v1_relat_1($c7).
% 1.99/2.19 0 [] v3_relat_1($c7).
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))|k4_relset_2(A,B,C,D)=k9_relat_1(C,D).
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|k6_relset_2(A,B,C)=k5_relset_2(B,C).
% 1.99/2.19 0 [] -m1_subset_1(C,k1_zfmisc_1(A))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))|k8_relset_2(A,B,C,D)=k7_relset_2(A,B,C,D).
% 1.99/2.19 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 1.99/2.19 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 1.99/2.19 0 [] r1_tarski(A,A).
% 1.99/2.19 0 [] v1_xboole_0(A)| -m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))| -m2_relset_1(D,A,B)|m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))).
% 1.99/2.19 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 1.99/2.19 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 1.99/2.19 0 [] r2_hidden($f9(A,B),A)|r2_hidden($f9(A,B),B)|A=B.
% 1.99/2.19 0 [] -r2_hidden($f9(A,B),A)| -r2_hidden($f9(A,B),B)|A=B.
% 1.99/2.19 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 1.99/2.19 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 1.99/2.19 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 1.99/2.19 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 1.99/2.19 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 1.99/2.19 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 1.99/2.19 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 1.99/2.19 end_of_list.
% 1.99/2.19
% 1.99/2.19 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.99/2.19
% 1.99/2.19 This ia a non-Horn set with equality. The strategy will be
% 1.99/2.19 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.99/2.19 deletion, with positive clauses in sos and nonpositive
% 1.99/2.19 clauses in usable.
% 1.99/2.19
% 1.99/2.19 dependent: set(knuth_bendix).
% 1.99/2.19 dependent: set(anl_eq).
% 1.99/2.19 dependent: set(para_from).
% 1.99/2.19 dependent: set(para_into).
% 1.99/2.19 dependent: clear(para_from_right).
% 1.99/2.19 dependent: clear(para_into_right).
% 1.99/2.19 dependent: set(para_from_vars).
% 1.99/2.19 dependent: set(eq_units_both_ways).
% 1.99/2.19 dependent: set(dynamic_demod_all).
% 1.99/2.19 dependent: set(dynamic_demod).
% 1.99/2.19 dependent: set(order_eq).
% 1.99/2.19 dependent: set(back_demod).
% 1.99/2.19 dependent: set(lrpo).
% 1.99/2.19 dependent: set(hyper_res).
% 1.99/2.19 dependent: set(unit_deletion).
% 1.99/2.19 dependent: set(factor).
% 1.99/2.19
% 1.99/2.19 ------------> process usable:
% 1.99/2.19 ** KEPT (pick-wt=2): 1 [] -v1_xboole_0($c4).
% 1.99/2.19 ** KEPT (pick-wt=9): 2 [] -m1_subset_1(a_4_1_relset_2($c4,$c3,$c2,$c1),k1_zfmisc_1(k1_zfmisc_1($c3))).
% 1.99/2.19 ** KEPT (pick-wt=6): 3 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 1.99/2.19 ** KEPT (pick-wt=4): 4 [] -v1_xboole_0(A)|v1_relat_1(A).
% 1.99/2.19 ** KEPT (pick-wt=8): 5 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 1.99/2.19 ** KEPT (pick-wt=28): 7 [copy,6,flip.3] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,D)))|k8_setfam_1(D,k4_relset_2(k1_zfmisc_1(B),D,k6_relset_2(D,B,C),k3_pua2mss1(A)))=k7_relset_2(B,D,A,C).
% 1.99/2.19 ** KEPT (pick-wt=16): 8 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,k1_zfmisc_1(C))))|m1_subset_1(k4_relset_2(B,C,A,D),k1_zfmisc_1(k1_zfmisc_1(C))).
% 1.99/2.19 ** KEPT (pick-wt=6): 9 [] -v1_relat_1(A)|v1_relat_1(k5_relset_2(B,A)).
% 1.99/2.19 ** KEPT (pick-wt=6): 10 [] -v1_relat_1(A)|v1_funct_1(k5_relset_2(B,A)).
% 1.99/2.19 ** KEPT (pick-wt=11): 11 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_funct_1(k6_relset_2(C,B,A)).
% 1.99/2.19 ** KEPT (pick-wt=15): 12 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_funct_2(k6_relset_2(C,B,A),k1_zfmisc_1(B),k1_zfmisc_1(C)).
% 1.99/2.19 ** KEPT (pick-wt=15): 13 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|m2_relset_1(k6_relset_2(C,B,A),k1_zfmisc_1(B),k1_zfmisc_1(C)).
% 1.99/2.19 ** KEPT (pick-wt=18): 14 [] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,D)))|m1_subset_1(k8_relset_2(B,D,A,C),k1_zfmisc_1(D)).
% 1.99/2.19 ** KEPT (pick-wt=11): 15 [] -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B)))|m1_subset_1(k8_setfam_1(B,A),k1_zfmisc_1(B)).
% 1.99/2.19 ** KEPT (pick-wt=8): 16 [] -m1_e_qrel_1(A,B)|m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))).
% 1.99/2.19 ** KEPT (pick-wt=10): 17 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 1.99/2.19 ** KEPT (pick-wt=3): 18 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 1.99/2.19 ** KEPT (pick-wt=8): 19 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 1.99/2.19 ** KEPT (pick-wt=27): 20 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))| -m2_relset_1(C,A,D)| -r2_hidden(E,a_4_1_relset_2(A,D,B,C))|m1_subset_1($f5(E,A,D,B,C),k1_zfmisc_1(A)).
% 1.99/2.19 ** KEPT (pick-wt=30): 22 [copy,21,flip.5] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))| -m2_relset_1(C,A,D)| -r2_hidden(E,a_4_1_relset_2(A,D,B,C))|k8_relset_2(A,D,$f5(E,A,D,B,C),C)=E.
% 1.99/2.19 ** KEPT (pick-wt=26): 23 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))| -m2_relset_1(C,A,D)| -r2_hidden(E,a_4_1_relset_2(A,D,B,C))|r2_hidden($f5(E,A,D,B,C),B).
% 1.99/2.19 ** KEPT (pick-wt=32): 24 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))| -m2_relset_1(C,A,D)|r2_hidden(E,a_4_1_relset_2(A,D,B,C))| -m1_subset_1(F,k1_zfmisc_1(A))|E!=k8_relset_2(A,D,F,C)| -r2_hidden(F,B).
% 1.99/2.19 ** KEPT (pick-wt=5): 25 [] v1_xboole_0(A)| -v1_xboole_0($f6(A)).
% 1.99/2.19 ** KEPT (pick-wt=2): 26 [] -v1_xboole_0($c6).
% 1.99/2.19 ** KEPT (pick-wt=16): 27 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,k1_zfmisc_1(C))))|k4_relset_2(B,C,A,D)=k9_relat_1(A,D).
% 1.99/2.19 ** KEPT (pick-wt=14): 28 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|k6_relset_2(C,B,A)=k5_relset_2(B,A).
% 1.99/2.19 ** KEPT (pick-wt=21): 29 [] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,D)))|k8_relset_2(B,D,A,C)=k7_relset_2(B,D,A,C).
% 1.99/2.19 ** KEPT (pick-wt=8): 30 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 1.99/2.19 ** KEPT (pick-wt=8): 31 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 1.99/2.19 ** KEPT (pick-wt=20): 32 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))| -m2_relset_1(C,A,D)|m1_subset_1(a_4_1_relset_2(A,D,B,C),k1_zfmisc_1(k1_zfmisc_1(D))).
% 1.99/2.19 ** KEPT (pick-wt=6): 33 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 1.99/2.19 ** KEPT (pick-wt=8): 34 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 1.99/2.19 ** KEPT (pick-wt=13): 35 [] -r2_hidden($f9(A,B),A)| -r2_hidden($f9(A,B),B)|A=B.
% 1.99/2.19 ** KEPT (pick-wt=7): 36 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 1.99/2.19 ** KEPT (pick-wt=7): 37 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 1.99/2.19 ** KEPT (pick-wt=10): 38 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 1.99/2.19 ** KEPT (pick-wt=9): 39 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 1.99/2.19 ** KEPT (pick-wt=5): 40 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 1.99/2.19 ** KEPT (pick-wt=5): 41 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 1.99/2.19 ** KEPT (pick-wt=7): 42 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 1.99/2.19
% 1.99/2.19 ------------> process sos:
% 1.99/2.19 ** KEPT (pick-wt=3): 47 [] A=A.
% 1.99/2.19 ** KEPT (pick-wt=5): 48 [] m1_subset_1($c2,k1_zfmisc_1(k1_zfmisc_1($c4))).
% 1.99/2.19 ** KEPT (pick-wt=4): 49 [] m2_relset_1($c1,$c4,$c3).
% 1.99/2.19 ** KEPT (pick-wt=4): 50 [] m1_e_qrel_1(k3_pua2mss1(A),A).
% 1.99/2.19 ** KEPT (pick-wt=4): 51 [] m1_e_qrel_1($f1(A),A).
% 1.99/2.19 ** KEPT (pick-wt=6): 52 [] m1_relset_1($f2(A,B),A,B).
% 1.99/2.19 ** KEPT (pick-wt=4): 53 [] m1_subset_1($f3(A),A).
% 1.99/2.19 ** KEPT (pick-wt=6): 54 [] m2_relset_1($f4(A,B),A,B).
% 1.99/2.19 ** KEPT (pick-wt=2): 55 [] v1_xboole_0(k1_xboole_0).
% 1.99/2.19 ** KEPT (pick-wt=2): 56 [] v1_relat_1(k1_xboole_0).
% 1.99/2.19 ** KEPT (pick-wt=2): 57 [] v3_relat_1(k1_xboole_0).
% 1.99/2.19 ** KEPT (pick-wt=4): 58 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 1.99/2.19 Following clause subsumed by 55 during input processing: 0 [] v1_xboole_0(k1_xboole_0).
% 1.99/2.19 Following clause subsumed by 56 during input processing: 0 [] v1_relat_1(k1_xboole_0).
% 1.99/2.19 ** KEPT (pick-wt=2): 59 [] v1_xboole_0($c5).
% 1.99/2.19 ** KEPT (pick-wt=2): 60 [] v1_relat_1($c5).
% 1.99/2.19 ** KEPT (pick-wt=7): 61 [] v1_xboole_0(A)|m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 1.99/2.19 ** KEPT (pick-wt=6): 62 [] m1_relset_1($f7(A,B),A,B).
% 1.99/2.19 ** KEPT (pick-wt=4): 63 [] v1_relat_1($f7(A,B)).
% 1.99/2.19 ** KEPT (pick-wt=4): 64 [] v1_funct_1($f7(A,B)).
% 1.99/2.19 ** KEPT (pick-wt=2): 65 [] v1_relat_1($c6).
% 1.99/2.19 ** KEPT (pick-wt=5): 66 [] m1_subset_1($f8(A),k1_zfmisc_1(A)).
% 1.99/2.19 ** KEPT (pick-wt=3): 67 [] v1_xboole_0($f8(A)).
% 1.99/2.19 ** KEPT (pick-wt=2): 68 [] v1_relat_1($c7).
% 1.99/2.19 ** KEPT (pick-wt=2): 69 [] v3_relat_1($c7).
% 1.99/2.19 ** KEPT (pick-wt=3): 70 [] r1_tarski(A,A).
% 1.99/2.19 ** KEPT (pick-wt=13): 71 [] r2_hidden($f9(A,B),A)|r2_hidden($f9(A,B),B)|A=B.
% 1.99/2.19 Following clause subsumed by 47 during input processing: 0 [copy,47,flip.1] A=A.
% 1.99/2.19 47 back subsumes 46.
% 1.99/2.19 47 back subsumes 45.
% 1.99/2.19
% 1.99/2.19 ======= end of input processing =======
% 1.99/2.19
% 1.99/2.19 =========== start of search ===========
% 1.99/2.19
% 1.99/2.19 -------- PROOF --------
% 1.99/2.19
% 1.99/2.19 -----> EMPTY CLAUSE at 0.01 sec ----> 102 [hyper,49,32,48,unit_del,1,2] $F.
% 1.99/2.19
% 1.99/2.19 Length of proof is 0. Level of proof is 0.
% 1.99/2.19
% 1.99/2.19 ---------------- PROOF ----------------
% 1.99/2.19 % SZS status Theorem
% 1.99/2.19 % SZS output start Refutation
% See solution above
% 1.99/2.20 ------------ end of proof -------------
% 1.99/2.20
% 1.99/2.20
% 1.99/2.20 Search stopped by max_proofs option.
% 1.99/2.20
% 1.99/2.20
% 1.99/2.20 Search stopped by max_proofs option.
% 1.99/2.20
% 1.99/2.20 ============ end of search ============
% 1.99/2.20
% 1.99/2.20 -------------- statistics -------------
% 1.99/2.20 clauses given 11
% 1.99/2.20 clauses generated 68
% 1.99/2.20 clauses kept 98
% 1.99/2.20 clauses forward subsumed 44
% 1.99/2.20 clauses back subsumed 2
% 1.99/2.20 Kbytes malloced 1953
% 1.99/2.20
% 1.99/2.20 ----------- times (seconds) -----------
% 1.99/2.20 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.99/2.20 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.99/2.20 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.99/2.20
% 1.99/2.20 That finishes the proof of the theorem.
% 1.99/2.20
% 1.99/2.20 Process 13076 finished Wed Jul 27 07:24:35 2022
% 1.99/2.20 Otter interrupted
% 1.99/2.20 PROOF FOUND
%------------------------------------------------------------------------------