TSTP Solution File: SEU435+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:16:15 EDT 2022
% Result : Theorem 1.94s 2.15s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ m1_subset_1(a_6_0_relset_2(dollar_c6,dollar_c5,dollar_c4,dollar_c3,dollar_c2,dollar_c1),k1_zfmisc_1(k1_zfmisc_1(dollar_c2))),
file('SEU435+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))
| ~ m1_subset_1(D,k1_zfmisc_1(E))
| m1_subset_1(a_6_0_relset_2(B,C,A,E,F,D),k1_zfmisc_1(k1_zfmisc_1(F))) ),
file('SEU435+1.p',unknown),
[] ).
cnf(52,axiom,
m1_subset_1(dollar_c4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(dollar_c6,dollar_c5)))),
file('SEU435+1.p',unknown),
[] ).
cnf(53,axiom,
m1_subset_1(dollar_c1,k1_zfmisc_1(dollar_c3)),
file('SEU435+1.p',unknown),
[] ).
cnf(114,plain,
m1_subset_1(a_6_0_relset_2(dollar_c6,dollar_c5,dollar_c4,dollar_c3,A,dollar_c1),k1_zfmisc_1(k1_zfmisc_1(A))),
inference(hyper,[status(thm)],[53,31,52]),
[iquote('hyper,53,31,52')] ).
cnf(115,plain,
$false,
inference(binary,[status(thm)],[114,1]),
[iquote('binary,114.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:51:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.94/2.15 ----- Otter 3.3f, August 2004 -----
% 1.94/2.15 The process was started by sandbox2 on n003.cluster.edu,
% 1.94/2.15 Wed Jul 27 07:51:11 2022
% 1.94/2.15 The command was "./otter". The process ID is 26765.
% 1.94/2.15
% 1.94/2.15 set(prolog_style_variables).
% 1.94/2.15 set(auto).
% 1.94/2.15 dependent: set(auto1).
% 1.94/2.15 dependent: set(process_input).
% 1.94/2.15 dependent: clear(print_kept).
% 1.94/2.15 dependent: clear(print_new_demod).
% 1.94/2.15 dependent: clear(print_back_demod).
% 1.94/2.15 dependent: clear(print_back_sub).
% 1.94/2.15 dependent: set(control_memory).
% 1.94/2.15 dependent: assign(max_mem, 12000).
% 1.94/2.15 dependent: assign(pick_given_ratio, 4).
% 1.94/2.15 dependent: assign(stats_level, 1).
% 1.94/2.15 dependent: assign(max_seconds, 10800).
% 1.94/2.15 clear(print_given).
% 1.94/2.15
% 1.94/2.15 formula_list(usable).
% 1.94/2.15 all A (A=A).
% 1.94/2.15 -(all A B C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))-> (all D E F (m1_subset_1(F,k1_zfmisc_1(D))->m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))))))).
% 1.94/2.15 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 1.94/2.15 all A (v1_xboole_0(A)->v1_relat_1(A)).
% 1.94/2.15 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 1.94/2.15 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)))))).
% 1.94/2.15 $T.
% 1.94/2.15 $T.
% 1.94/2.15 $T.
% 1.94/2.15 all A m1_e_qrel_1(k3_pua2mss1(A),A).
% 1.94/2.15 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)))).
% 1.94/2.15 all A B (v1_relat_1(B)->v1_relat_1(k5_relset_2(A,B))&v1_funct_1(k5_relset_2(A,B))).
% 1.94/2.15 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))).
% 1.94/2.15 $T.
% 1.94/2.15 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))).
% 1.94/2.15 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))).
% 1.94/2.15 $T.
% 1.94/2.15 all A B (m1_e_qrel_1(B,A)->m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))).
% 1.94/2.15 $T.
% 1.94/2.15 $T.
% 1.94/2.15 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 1.94/2.15 all A exists B m1_e_qrel_1(B,A).
% 1.94/2.15 all A B exists C m1_relset_1(C,A,B).
% 1.94/2.15 all A exists B m1_subset_1(B,A).
% 1.94/2.15 all A B exists C m2_relset_1(C,A,B).
% 1.94/2.15 v1_xboole_0(k1_xboole_0).
% 1.94/2.15 v1_relat_1(k1_xboole_0).
% 1.94/2.15 v3_relat_1(k1_xboole_0).
% 1.94/2.15 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 1.94/2.15 all A B v1_relat_1(k2_zfmisc_1(A,B)).
% 1.94/2.15 v1_xboole_0(k1_xboole_0).
% 1.94/2.15 v1_relat_1(k1_xboole_0).
% 1.94/2.15 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 1.94/2.15 all A B C D E F G (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))&m1_subset_1(G,k1_zfmisc_1(E))-> (r2_hidden(A,a_6_0_relset_2(B,C,D,E,F,G))<-> (exists H (m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(E,F)))&A=k8_relset_2(E,F,G,H)&r2_hidden(H,D))))).
% 1.94/2.15 exists A (v1_xboole_0(A)&v1_relat_1(A)).
% 1.94/2.15 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 1.94/2.15 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)).
% 1.94/2.15 exists A (-v1_xboole_0(A)&v1_relat_1(A)).
% 1.94/2.15 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 1.94/2.15 exists A (v1_relat_1(A)&v3_relat_1(A)).
% 1.94/2.15 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)).
% 1.94/2.15 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)).
% 1.94/2.15 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)).
% 1.94/2.15 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 1.94/2.15 all A B r1_tarski(A,A).
% 1.94/2.15 all A B C D E F (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))&m1_subset_1(F,k1_zfmisc_1(D))->m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E)))).
% 1.94/2.15 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 1.94/2.15 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 1.94/2.15 all A B ((all C (r2_hidden(C,A)<->r2_hidden(C,B)))->A=B).
% 1.94/2.15 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 1.94/2.15 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 1.94/2.15 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 1.94/2.15 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 1.94/2.15 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 1.94/2.15 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 1.94/2.15 end_of_list.
% 1.94/2.15
% 1.94/2.15 -------> usable clausifies to:
% 1.94/2.15
% 1.94/2.15 list(usable).
% 1.94/2.15 0 [] A=A.
% 1.94/2.15 0 [] m1_subset_1($c4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1($c6,$c5)))).
% 1.94/2.15 0 [] m1_subset_1($c1,k1_zfmisc_1($c3)).
% 1.94/2.15 0 [] -m1_subset_1(a_6_0_relset_2($c6,$c5,$c4,$c3,$c2,$c1),k1_zfmisc_1(k1_zfmisc_1($c2))).
% 1.94/2.15 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 1.94/2.15 0 [] -v1_xboole_0(A)|v1_relat_1(A).
% 1.94/2.15 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 1.94/2.15 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))).
% 1.94/2.15 0 [] $T.
% 1.94/2.15 0 [] $T.
% 1.94/2.15 0 [] $T.
% 1.94/2.15 0 [] m1_e_qrel_1(k3_pua2mss1(A),A).
% 1.94/2.15 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))).
% 1.94/2.15 0 [] -v1_relat_1(B)|v1_relat_1(k5_relset_2(A,B)).
% 1.94/2.15 0 [] -v1_relat_1(B)|v1_funct_1(k5_relset_2(A,B)).
% 1.94/2.15 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|v1_funct_1(k6_relset_2(A,B,C)).
% 1.94/2.15 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)).
% 1.94/2.15 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)).
% 1.94/2.15 0 [] $T.
% 1.94/2.15 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)).
% 1.94/2.15 0 [] -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))|m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)).
% 1.94/2.15 0 [] $T.
% 1.94/2.15 0 [] -m1_e_qrel_1(B,A)|m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))).
% 1.94/2.15 0 [] $T.
% 1.94/2.15 0 [] $T.
% 1.94/2.15 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 1.94/2.15 0 [] m1_e_qrel_1($f1(A),A).
% 1.94/2.15 0 [] m1_relset_1($f2(A,B),A,B).
% 1.94/2.15 0 [] m1_subset_1($f3(A),A).
% 1.94/2.15 0 [] m2_relset_1($f4(A,B),A,B).
% 1.94/2.15 0 [] v1_xboole_0(k1_xboole_0).
% 1.94/2.15 0 [] v1_relat_1(k1_xboole_0).
% 1.94/2.15 0 [] v3_relat_1(k1_xboole_0).
% 1.94/2.15 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 1.94/2.15 0 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 1.94/2.15 0 [] v1_xboole_0(k1_xboole_0).
% 1.94/2.15 0 [] v1_relat_1(k1_xboole_0).
% 1.94/2.15 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 1.94/2.15 0 [] -m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))| -m1_subset_1(G,k1_zfmisc_1(E))| -r2_hidden(A,a_6_0_relset_2(B,C,D,E,F,G))|m1_subset_1($f5(A,B,C,D,E,F,G),k1_zfmisc_1(k2_zfmisc_1(E,F))).
% 1.94/2.15 0 [] -m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))| -m1_subset_1(G,k1_zfmisc_1(E))| -r2_hidden(A,a_6_0_relset_2(B,C,D,E,F,G))|A=k8_relset_2(E,F,G,$f5(A,B,C,D,E,F,G)).
% 1.94/2.15 0 [] -m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))| -m1_subset_1(G,k1_zfmisc_1(E))| -r2_hidden(A,a_6_0_relset_2(B,C,D,E,F,G))|r2_hidden($f5(A,B,C,D,E,F,G),D).
% 1.94/2.15 0 [] -m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))| -m1_subset_1(G,k1_zfmisc_1(E))|r2_hidden(A,a_6_0_relset_2(B,C,D,E,F,G))| -m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(E,F)))|A!=k8_relset_2(E,F,G,H)| -r2_hidden(H,D).
% 1.94/2.15 0 [] v1_xboole_0($c7).
% 1.94/2.15 0 [] v1_relat_1($c7).
% 1.94/2.15 0 [] v1_xboole_0(A)|m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 1.94/2.15 0 [] v1_xboole_0(A)| -v1_xboole_0($f6(A)).
% 1.94/2.15 0 [] m1_relset_1($f7(A,B),A,B).
% 1.94/2.15 0 [] v1_relat_1($f7(A,B)).
% 1.94/2.15 0 [] v1_funct_1($f7(A,B)).
% 1.94/2.15 0 [] -v1_xboole_0($c8).
% 1.94/2.15 0 [] v1_relat_1($c8).
% 1.94/2.15 0 [] m1_subset_1($f8(A),k1_zfmisc_1(A)).
% 1.94/2.15 0 [] v1_xboole_0($f8(A)).
% 1.94/2.15 0 [] v1_relat_1($c9).
% 1.94/2.15 0 [] v3_relat_1($c9).
% 1.94/2.15 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))|k4_relset_2(A,B,C,D)=k9_relat_1(C,D).
% 1.94/2.15 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|k6_relset_2(A,B,C)=k5_relset_2(B,C).
% 1.94/2.15 0 [] -m1_subset_1(C,k1_zfmisc_1(A))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))|k8_relset_2(A,B,C,D)=k7_relset_2(A,B,C,D).
% 1.94/2.15 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 1.94/2.15 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 1.94/2.15 0 [] r1_tarski(A,A).
% 1.94/2.15 0 [] -m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))| -m1_subset_1(F,k1_zfmisc_1(D))|m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))).
% 1.94/2.15 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 1.94/2.15 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 1.94/2.15 0 [] r2_hidden($f9(A,B),A)|r2_hidden($f9(A,B),B)|A=B.
% 1.94/2.15 0 [] -r2_hidden($f9(A,B),A)| -r2_hidden($f9(A,B),B)|A=B.
% 1.94/2.15 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 1.94/2.15 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 1.94/2.15 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 1.94/2.15 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 1.94/2.15 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 1.94/2.15 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 1.94/2.15 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 1.94/2.15 end_of_list.
% 1.94/2.15
% 1.94/2.15 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.94/2.15
% 1.94/2.15 This ia a non-Horn set with equality. The strategy will be
% 1.94/2.15 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.94/2.15 deletion, with positive clauses in sos and nonpositive
% 1.94/2.15 clauses in usable.
% 1.94/2.15
% 1.94/2.15 dependent: set(knuth_bendix).
% 1.94/2.15 dependent: set(anl_eq).
% 1.94/2.15 dependent: set(para_from).
% 1.94/2.15 dependent: set(para_into).
% 1.94/2.15 dependent: clear(para_from_right).
% 1.94/2.15 dependent: clear(para_into_right).
% 1.94/2.15 dependent: set(para_from_vars).
% 1.94/2.15 dependent: set(eq_units_both_ways).
% 1.94/2.15 dependent: set(dynamic_demod_all).
% 1.94/2.15 dependent: set(dynamic_demod).
% 1.94/2.15 dependent: set(order_eq).
% 1.94/2.15 dependent: set(back_demod).
% 1.94/2.15 dependent: set(lrpo).
% 1.94/2.15 dependent: set(hyper_res).
% 1.94/2.15 dependent: set(unit_deletion).
% 1.94/2.15 dependent: set(factor).
% 1.94/2.15
% 1.94/2.15 ------------> process usable:
% 1.94/2.15 ** KEPT (pick-wt=11): 1 [] -m1_subset_1(a_6_0_relset_2($c6,$c5,$c4,$c3,$c2,$c1),k1_zfmisc_1(k1_zfmisc_1($c2))).
% 1.94/2.15 ** KEPT (pick-wt=6): 2 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 1.94/2.15 ** KEPT (pick-wt=4): 3 [] -v1_xboole_0(A)|v1_relat_1(A).
% 1.94/2.15 ** KEPT (pick-wt=8): 4 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 1.94/2.15 ** KEPT (pick-wt=28): 6 [copy,5,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).
% 1.94/2.15 ** KEPT (pick-wt=16): 7 [] -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))).
% 1.94/2.15 ** KEPT (pick-wt=6): 8 [] -v1_relat_1(A)|v1_relat_1(k5_relset_2(B,A)).
% 1.94/2.15 ** KEPT (pick-wt=6): 9 [] -v1_relat_1(A)|v1_funct_1(k5_relset_2(B,A)).
% 1.94/2.15 ** KEPT (pick-wt=11): 10 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_funct_1(k6_relset_2(C,B,A)).
% 1.94/2.15 ** KEPT (pick-wt=15): 11 [] -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)).
% 1.94/2.15 ** KEPT (pick-wt=15): 12 [] -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)).
% 1.94/2.15 ** KEPT (pick-wt=18): 13 [] -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)).
% 1.94/2.15 ** KEPT (pick-wt=11): 14 [] -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B)))|m1_subset_1(k8_setfam_1(B,A),k1_zfmisc_1(B)).
% 1.94/2.15 ** KEPT (pick-wt=8): 15 [] -m1_e_qrel_1(A,B)|m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))).
% 1.94/2.15 ** KEPT (pick-wt=10): 16 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 1.94/2.15 ** KEPT (pick-wt=3): 17 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 1.94/2.15 ** KEPT (pick-wt=8): 18 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 1.94/2.15 ** KEPT (pick-wt=33): 19 [] -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))| -m1_subset_1(D,k1_zfmisc_1(E))| -r2_hidden(F,a_6_0_relset_2(B,C,A,E,G,D))|m1_subset_1($f5(F,B,C,A,E,G,D),k1_zfmisc_1(k2_zfmisc_1(E,G))).
% 1.94/2.15 ** KEPT (pick-wt=34): 21 [copy,20,flip.4] -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))| -m1_subset_1(D,k1_zfmisc_1(E))| -r2_hidden(F,a_6_0_relset_2(B,C,A,E,G,D))|k8_relset_2(E,G,D,$f5(F,B,C,A,E,G,D))=F.
% 1.94/2.15 ** KEPT (pick-wt=30): 22 [] -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))| -m1_subset_1(D,k1_zfmisc_1(E))| -r2_hidden(F,a_6_0_relset_2(B,C,A,E,G,D))|r2_hidden($f5(F,B,C,A,E,G,D),A).
% 1.94/2.15 ** KEPT (pick-wt=36): 23 [] -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))| -m1_subset_1(D,k1_zfmisc_1(E))|r2_hidden(F,a_6_0_relset_2(B,C,A,E,G,D))| -m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(E,G)))|F!=k8_relset_2(E,G,D,H)| -r2_hidden(H,A).
% 1.94/2.15 ** KEPT (pick-wt=5): 24 [] v1_xboole_0(A)| -v1_xboole_0($f6(A)).
% 1.94/2.15 ** KEPT (pick-wt=2): 25 [] -v1_xboole_0($c8).
% 1.94/2.15 ** KEPT (pick-wt=16): 26 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,k1_zfmisc_1(C))))|k4_relset_2(B,C,A,D)=k9_relat_1(A,D).
% 1.94/2.15 ** KEPT (pick-wt=14): 27 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|k6_relset_2(C,B,A)=k5_relset_2(B,A).
% 1.94/2.15 ** KEPT (pick-wt=21): 28 [] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,D)))|k8_relset_2(B,D,A,C)=k7_relset_2(B,D,A,C).
% 1.94/2.15 ** KEPT (pick-wt=8): 29 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 1.94/2.15 ** KEPT (pick-wt=8): 30 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 1.94/2.15 ** KEPT (pick-wt=22): 31 [] -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C))))| -m1_subset_1(D,k1_zfmisc_1(E))|m1_subset_1(a_6_0_relset_2(B,C,A,E,F,D),k1_zfmisc_1(k1_zfmisc_1(F))).
% 1.94/2.15 ** KEPT (pick-wt=6): 32 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 1.94/2.15 ** KEPT (pick-wt=8): 33 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 1.94/2.15 ** KEPT (pick-wt=13): 34 [] -r2_hidden($f9(A,B),A)| -r2_hidden($f9(A,B),B)|A=B.
% 1.94/2.15 ** KEPT (pick-wt=7): 35 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 1.94/2.15 ** KEPT (pick-wt=7): 36 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 1.94/2.15 ** KEPT (pick-wt=10): 37 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 1.94/2.15 ** KEPT (pick-wt=9): 38 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 1.94/2.15 ** KEPT (pick-wt=5): 39 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 1.94/2.15 ** KEPT (pick-wt=5): 40 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 1.94/2.15 ** KEPT (pick-wt=7): 41 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 1.94/2.15
% 1.94/2.15 ------------> process sos:
% 1.94/2.15 ** KEPT (pick-wt=3): 51 [] A=A.
% 1.94/2.15 ** KEPT (pick-wt=7): 52 [] m1_subset_1($c4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1($c6,$c5)))).
% 1.94/2.15 ** KEPT (pick-wt=4): 53 [] m1_subset_1($c1,k1_zfmisc_1($c3)).
% 1.94/2.15 ** KEPT (pick-wt=4): 54 [] m1_e_qrel_1(k3_pua2mss1(A),A).
% 1.94/2.15 ** KEPT (pick-wt=4): 55 [] m1_e_qrel_1($f1(A),A).
% 1.94/2.15 ** KEPT (pick-wt=6): 56 [] m1_relset_1($f2(A,B),A,B).
% 1.94/2.15 ** KEPT (pick-wt=4): 57 [] m1_subset_1($f3(A),A).
% 1.94/2.15 ** KEPT (pick-wt=6): 58 [] m2_relset_1($f4(A,B),A,B).
% 1.94/2.15 ** KEPT (pick-wt=2): 59 [] v1_xboole_0(k1_xboole_0).
% 1.94/2.15 ** KEPT (pick-wt=2): 60 [] v1_relat_1(k1_xboole_0).
% 1.94/2.15 ** KEPT (pick-wt=2): 61 [] v3_relat_1(k1_xboole_0).
% 1.94/2.15 ** KEPT (pick-wt=4): 62 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 1.94/2.15 Following clause subsumed by 59 during input processing: 0 [] v1_xboole_0(k1_xboole_0).
% 1.94/2.15 Following clause subsumed by 60 during input processing: 0 [] v1_relat_1(k1_xboole_0).
% 1.94/2.15 ** KEPT (pick-wt=2): 63 [] v1_xboole_0($c7).
% 1.94/2.15 ** KEPT (pick-wt=2): 64 [] v1_relat_1($c7).
% 1.94/2.15 ** KEPT (pick-wt=7): 65 [] v1_xboole_0(A)|m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 1.94/2.15 ** KEPT (pick-wt=6): 66 [] m1_relset_1($f7(A,B),A,B).
% 1.94/2.15 ** KEPT (pick-wt=4): 67 [] v1_relat_1($f7(A,B)).
% 1.94/2.15 ** KEPT (pick-wt=4): 68 [] v1_funct_1($f7(A,B)).
% 1.94/2.15 ** KEPT (pick-wt=2): 69 [] v1_relat_1($c8).
% 1.94/2.15 ** KEPT (pick-wt=5): 70 [] m1_subset_1($f8(A),k1_zfmisc_1(A)).
% 1.94/2.15 ** KEPT (pick-wt=3): 71 [] v1_xboole_0($f8(A)).
% 1.94/2.15 ** KEPT (pick-wt=2): 72 [] v1_relat_1($c9).
% 1.94/2.15 ** KEPT (pick-wt=2): 73 [] v3_relat_1($c9).
% 1.94/2.15 ** KEPT (pick-wt=3): 74 [] r1_tarski(A,A).
% 1.94/2.15 ** KEPT (pick-wt=13): 75 [] r2_hidden($f9(A,B),A)|r2_hidden($f9(A,B),B)|A=B.
% 1.94/2.15 Following clause subsumed by 51 during input processing: 0 [copy,51,flip.1] A=A.
% 1.94/2.15 51 back subsumes 50.
% 1.94/2.15 51 back subsumes 49.
% 1.94/2.15
% 1.94/2.15 ======= end of input processing =======
% 1.94/2.15
% 1.94/2.15 =========== start of search ===========
% 1.94/2.15
% 1.94/2.15 -------- PROOF --------
% 1.94/2.15
% 1.94/2.15 ----> UNIT CONFLICT at 0.01 sec ----> 115 [binary,114.1,1.1] $F.
% 1.94/2.15
% 1.94/2.15 Length of proof is 1. Level of proof is 1.
% 1.94/2.15
% 1.94/2.15 ---------------- PROOF ----------------
% 1.94/2.15 % SZS status Theorem
% 1.94/2.15 % SZS output start Refutation
% See solution above
% 1.94/2.15 ------------ end of proof -------------
% 1.94/2.15
% 1.94/2.15
% 1.94/2.15 Search stopped by max_proofs option.
% 1.94/2.15
% 1.94/2.15
% 1.94/2.15 Search stopped by max_proofs option.
% 1.94/2.15
% 1.94/2.15 ============ end of search ============
% 1.94/2.15
% 1.94/2.15 -------------- statistics -------------
% 1.94/2.15 clauses given 11
% 1.94/2.15 clauses generated 87
% 1.94/2.15 clauses kept 111
% 1.94/2.15 clauses forward subsumed 50
% 1.94/2.15 clauses back subsumed 2
% 1.94/2.15 Kbytes malloced 1953
% 1.94/2.15
% 1.94/2.15 ----------- times (seconds) -----------
% 1.94/2.15 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.94/2.15 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.15 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.94/2.15
% 1.94/2.15 That finishes the proof of the theorem.
% 1.94/2.15
% 1.94/2.15 Process 26765 finished Wed Jul 27 07:51:13 2022
% 1.94/2.15 Otter interrupted
% 1.94/2.15 PROOF FOUND
%------------------------------------------------------------------------------