TSTP Solution File: CAT033+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : CAT033+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 12:47:54 EDT 2022
% Result : Theorem 10.30s 10.46s
% Output : Refutation 10.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 1 nHn; 11 RR)
% Number of literals : 21 ( 2 equ; 11 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ m2_cat_1(k20_ens_1(dollar_c2,dollar_c1),dollar_c2,k1_yoneda_1(dollar_c2)),
file('CAT033+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ v2_cat_1(A)
| ~ l1_cat_1(A)
| ~ v1_xboole_0(k17_ens_1(A)) ),
file('CAT033+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ v2_cat_1(A)
| ~ l1_cat_1(A)
| k1_yoneda_1(A) = k12_ens_1(k17_ens_1(A)) ),
file('CAT033+1.p',unknown),
[] ).
cnf(54,axiom,
( v1_xboole_0(A)
| ~ v2_cat_1(B)
| ~ l1_cat_1(B)
| ~ m1_subset_1(C,u1_cat_1(B))
| ~ r1_tarski(k17_ens_1(B),A)
| m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A)) ),
file('CAT033+1.p',unknown),
[] ).
cnf(334,axiom,
v2_cat_1(dollar_c2),
file('CAT033+1.p',unknown),
[] ).
cnf(335,axiom,
l1_cat_1(dollar_c2),
file('CAT033+1.p',unknown),
[] ).
cnf(336,axiom,
m1_subset_1(dollar_c1,u1_cat_1(dollar_c2)),
file('CAT033+1.p',unknown),
[] ).
cnf(348,axiom,
r1_tarski(A,A),
file('CAT033+1.p',unknown),
[] ).
cnf(564,plain,
k1_yoneda_1(dollar_c2) = k12_ens_1(k17_ens_1(dollar_c2)),
inference(hyper,[status(thm)],[335,53,334]),
[iquote('hyper,335,53,334')] ).
cnf(578,plain,
~ m2_cat_1(k20_ens_1(dollar_c2,dollar_c1),dollar_c2,k12_ens_1(k17_ens_1(dollar_c2))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1]),564]),
[iquote('back_demod,1,demod,564')] ).
cnf(1935,plain,
v1_xboole_0(k17_ens_1(dollar_c2)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[348,54,334,335,336]),578]),
[iquote('hyper,348,54,334,335,336,unit_del,578')] ).
cnf(1959,plain,
$false,
inference(hyper,[status(thm)],[1935,46,334,335]),
[iquote('hyper,1935,46,334,335')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT033+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n011.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 01:56:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.24/2.43 ----- Otter 3.3f, August 2004 -----
% 2.24/2.43 The process was started by sandbox2 on n011.cluster.edu,
% 2.24/2.43 Wed Jul 27 01:56:40 2022
% 2.24/2.43 The command was "./otter". The process ID is 18184.
% 2.24/2.43
% 2.24/2.43 set(prolog_style_variables).
% 2.24/2.43 set(auto).
% 2.24/2.43 dependent: set(auto1).
% 2.24/2.43 dependent: set(process_input).
% 2.24/2.43 dependent: clear(print_kept).
% 2.24/2.43 dependent: clear(print_new_demod).
% 2.24/2.43 dependent: clear(print_back_demod).
% 2.24/2.43 dependent: clear(print_back_sub).
% 2.24/2.43 dependent: set(control_memory).
% 2.24/2.43 dependent: assign(max_mem, 12000).
% 2.24/2.43 dependent: assign(pick_given_ratio, 4).
% 2.24/2.43 dependent: assign(stats_level, 1).
% 2.24/2.43 dependent: assign(max_seconds, 10800).
% 2.24/2.43 clear(print_given).
% 2.24/2.43
% 2.24/2.43 formula_list(usable).
% 2.24/2.43 all A (A=A).
% 2.24/2.43 -(all A (v2_cat_1(A)&l1_cat_1(A)-> (all B (m1_subset_1(B,u1_cat_1(A))->m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A)))))).
% 2.24/2.43 exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.24/2.43 all A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)->v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.24/2.43 exists A (v1_relat_1(A)&v1_funct_1(A)).
% 2.24/2.43 exists A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)).
% 2.24/2.43 all A B C D E F (-v1_xboole_0(A)& -v1_xboole_0(B)&v1_funct_1(C)&v1_funct_2(C,B,A)&m1_relset_1(C,B,A)&v1_funct_1(D)&v1_funct_2(D,B,A)&m1_relset_1(D,B,A)&v1_funct_1(E)&m1_relset_1(E,k2_zfmisc_1(B,B),B)&v1_funct_1(F)&v1_funct_2(F,A,B)&m1_relset_1(F,A,B)-> (all G H I J K L (g1_cat_1(A,B,C,D,E,F)=g1_cat_1(G,H,I,J,K,L)->A=G&B=H&C=I&D=J&E=K&F=L))).
% 2.24/2.43 all A B exists C m1_relset_1(C,A,B).
% 2.24/2.43 all A B C D E F (-v1_xboole_0(A)& -v1_xboole_0(B)&v1_funct_1(C)&v1_funct_2(C,B,A)&m1_relset_1(C,B,A)&v1_funct_1(D)&v1_funct_2(D,B,A)&m1_relset_1(D,B,A)&v1_funct_1(E)&m1_relset_1(E,k2_zfmisc_1(B,B),B)&v1_funct_1(F)&v1_funct_2(F,A,B)&m1_relset_1(F,A,B)->v1_cat_1(g1_cat_1(A,B,C,D,E,F))&l1_cat_1(g1_cat_1(A,B,C,D,E,F))).
% 2.24/2.43 $T.
% 2.24/2.43 $T.
% 2.24/2.43 all A (l1_cat_1(A)->v1_funct_1(u3_cat_1(A))&v1_funct_2(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A))&m2_relset_1(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A))).
% 2.24/2.43 all A (l1_cat_1(A)->v1_funct_1(u4_cat_1(A))&v1_funct_2(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A))&m2_relset_1(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A))).
% 2.24/2.43 all A (l1_cat_1(A)->v1_funct_1(u5_cat_1(A))&m2_relset_1(u5_cat_1(A),k2_zfmisc_1(u2_cat_1(A),u2_cat_1(A)),u2_cat_1(A))).
% 2.24/2.43 all A (l1_cat_1(A)->v1_funct_1(u6_cat_1(A))&v1_funct_2(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A))&m2_relset_1(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A))).
% 2.24/2.43 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.24/2.43 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.24/2.43 all A (l1_cat_1(A)-> (v1_cat_1(A)->A=g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A)))).
% 2.24/2.43 all A B exists C m2_relset_1(C,A,B).
% 2.24/2.43 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.24/2.43 $T.
% 2.24/2.43 $T.
% 2.24/2.43 $T.
% 2.24/2.43 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.24/2.43 all A (l1_cat_1(A)-> -v1_xboole_0(u2_cat_1(A))).
% 2.24/2.43 v1_xboole_0(k1_xboole_0).
% 2.24/2.43 all A (-v1_xboole_0(A)-> -v1_xboole_0(k2_ens_1(A))).
% 2.24/2.43 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.24/2.43 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.24/2.43 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.24/2.43 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.24/2.43 all A B r1_tarski(A,A).
% 2.24/2.43 exists A l1_cat_1(A).
% 2.24/2.43 all A exists B m1_subset_1(B,A).
% 2.24/2.43 all A B (v2_cat_1(A)&l1_cat_1(A)&v2_cat_1(B)&l1_cat_1(B)-> (exists C m2_cat_1(C,A,B))).
% 2.24/2.43 all A (-v1_xboole_0(A)->l1_cat_1(k12_ens_1(A))).
% 2.24/2.43 $T.
% 2.24/2.43 all A (v2_cat_1(A)&l1_cat_1(A)->v2_cat_1(k1_yoneda_1(A))&l1_cat_1(k1_yoneda_1(A))).
% 2.24/2.43 all A B (v2_cat_1(A)&l1_cat_1(A)&m1_subset_1(B,u1_cat_1(A))->v1_funct_1(k20_ens_1(A,B))&v1_funct_2(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A)))&m2_relset_1(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A)))).
% 2.24/2.43 $T.
% 2.24/2.43 $T.
% 2.24/2.43 all A B (v2_cat_1(A)&l1_cat_1(A)&v2_cat_1(B)&l1_cat_1(B)-> (all C (m2_cat_1(C,A,B)->v1_funct_1(C)&v1_funct_2(C,u2_cat_1(A),u2_cat_1(B))&m2_relset_1(C,u2_cat_1(A),u2_cat_1(B))))).
% 2.24/2.43 all A (l1_cat_1(A)-> -v1_xboole_0(u1_cat_1(A))).
% 2.24/2.43 all A (v1_xboole_0(A)->v1_funct_1(A)).
% 2.24/2.43 all A (-v1_xboole_0(A)->v1_cat_1(k12_ens_1(A))&v2_cat_1(k12_ens_1(A))).
% 2.24/2.43 all A (v2_cat_1(A)&l1_cat_1(A)-> -v1_xboole_0(k17_ens_1(A))).
% 2.24/2.43 exists A v1_xboole_0(A).
% 2.24/2.43 exists A (-v1_xboole_0(A)).
% 2.24/2.43 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.24/2.43 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.24/2.43 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.24/2.43 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.24/2.43 all A (v2_cat_1(A)&l1_cat_1(A)->k1_yoneda_1(A)=k12_ens_1(k17_ens_1(A))).
% 2.24/2.43 all A (-v1_xboole_0(A)-> (all B (v2_cat_1(B)&l1_cat_1(B)-> (all C (m1_subset_1(C,u1_cat_1(B))-> (r1_tarski(k17_ens_1(B),A)->m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A)))))))).
% 2.24/2.43 end_of_list.
% 2.24/2.43
% 2.24/2.43 -------> usable clausifies to:
% 2.24/2.43
% 2.24/2.43 list(usable).
% 2.24/2.43 0 [] A=A.
% 2.24/2.43 0 [] v2_cat_1($c2).
% 2.24/2.43 0 [] l1_cat_1($c2).
% 2.24/2.43 0 [] m1_subset_1($c1,u1_cat_1($c2)).
% 2.24/2.43 0 [] -m2_cat_1(k20_ens_1($c2,$c1),$c2,k1_yoneda_1($c2)).
% 2.24/2.43 0 [] v1_relat_1($c3).
% 2.24/2.43 0 [] v1_funct_1($c3).
% 2.24/2.43 0 [] v2_funct_1($c3).
% 2.24/2.43 0 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.24/2.43 0 [] v1_relat_1($c4).
% 2.24/2.43 0 [] v1_funct_1($c4).
% 2.24/2.43 0 [] v1_relat_1($c5).
% 2.24/2.43 0 [] v1_xboole_0($c5).
% 2.24/2.43 0 [] v1_funct_1($c5).
% 2.24/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|A=G.
% 2.24/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|B=H.
% 2.24/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|C=I.
% 2.24/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|D=J.
% 2.24/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|E=K.
% 2.24/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|F=L.
% 2.24/2.43 0 [] m1_relset_1($f1(A,B),A,B).
% 2.24/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|v1_cat_1(g1_cat_1(A,B,C,D,E,F)).
% 2.24/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|l1_cat_1(g1_cat_1(A,B,C,D,E,F)).
% 2.24/2.43 0 [] $T.
% 2.24/2.43 0 [] $T.
% 2.24/2.43 0 [] -l1_cat_1(A)|v1_funct_1(u3_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|v1_funct_2(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|m2_relset_1(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|v1_funct_1(u4_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|v1_funct_2(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|m2_relset_1(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|v1_funct_1(u5_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|m2_relset_1(u5_cat_1(A),k2_zfmisc_1(u2_cat_1(A),u2_cat_1(A)),u2_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|v1_funct_1(u6_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|v1_funct_2(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)).
% 2.24/2.43 0 [] -l1_cat_1(A)|m2_relset_1(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)).
% 2.24/2.43 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.24/2.43 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.24/2.43 0 [] -l1_cat_1(A)| -v1_cat_1(A)|A=g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A)).
% 2.24/2.43 0 [] m2_relset_1($f2(A,B),A,B).
% 2.24/2.43 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.24/2.43 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.24/2.43 0 [] $T.
% 2.24/2.43 0 [] $T.
% 2.24/2.43 0 [] $T.
% 2.24/2.43 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.24/2.43 0 [] -l1_cat_1(A)| -v1_xboole_0(u2_cat_1(A)).
% 2.24/2.43 0 [] v1_xboole_0(k1_xboole_0).
% 2.24/2.43 0 [] v1_xboole_0(A)| -v1_xboole_0(k2_ens_1(A)).
% 2.24/2.43 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.24/2.43 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.24/2.43 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.24/2.43 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.24/2.43 0 [] r1_tarski(A,A).
% 2.24/2.43 0 [] l1_cat_1($c6).
% 2.24/2.43 0 [] m1_subset_1($f3(A),A).
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)| -v2_cat_1(B)| -l1_cat_1(B)|m2_cat_1($f4(A,B),A,B).
% 2.24/2.43 0 [] v1_xboole_0(A)|l1_cat_1(k12_ens_1(A)).
% 2.24/2.43 0 [] $T.
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)|v2_cat_1(k1_yoneda_1(A)).
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)|l1_cat_1(k1_yoneda_1(A)).
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)| -m1_subset_1(B,u1_cat_1(A))|v1_funct_1(k20_ens_1(A,B)).
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)| -m1_subset_1(B,u1_cat_1(A))|v1_funct_2(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))).
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)| -m1_subset_1(B,u1_cat_1(A))|m2_relset_1(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))).
% 2.24/2.43 0 [] $T.
% 2.24/2.43 0 [] $T.
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)| -v2_cat_1(B)| -l1_cat_1(B)| -m2_cat_1(C,A,B)|v1_funct_1(C).
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)| -v2_cat_1(B)| -l1_cat_1(B)| -m2_cat_1(C,A,B)|v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)).
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)| -v2_cat_1(B)| -l1_cat_1(B)| -m2_cat_1(C,A,B)|m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)).
% 2.24/2.43 0 [] -l1_cat_1(A)| -v1_xboole_0(u1_cat_1(A)).
% 2.24/2.43 0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.24/2.43 0 [] v1_xboole_0(A)|v1_cat_1(k12_ens_1(A)).
% 2.24/2.43 0 [] v1_xboole_0(A)|v2_cat_1(k12_ens_1(A)).
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)| -v1_xboole_0(k17_ens_1(A)).
% 2.24/2.43 0 [] v1_xboole_0($c7).
% 2.24/2.43 0 [] -v1_xboole_0($c8).
% 2.24/2.43 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.24/2.43 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.24/2.43 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.24/2.43 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.24/2.43 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.24/2.43 0 [] -v2_cat_1(A)| -l1_cat_1(A)|k1_yoneda_1(A)=k12_ens_1(k17_ens_1(A)).
% 2.24/2.43 0 [] v1_xboole_0(A)| -v2_cat_1(B)| -l1_cat_1(B)| -m1_subset_1(C,u1_cat_1(B))| -r1_tarski(k17_ens_1(B),A)|m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A)).
% 2.24/2.43 end_of_list.
% 2.24/2.43
% 2.24/2.43 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=15.
% 2.24/2.43
% 2.24/2.43 This ia a non-Horn set with equality. The strategy will be
% 2.24/2.43 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.24/2.43 deletion, with positive clauses in sos and nonpositive
% 2.24/2.43 clauses in usable.
% 2.24/2.43
% 2.24/2.43 dependent: set(knuth_bendix).
% 2.24/2.43 dependent: set(anl_eq).
% 2.24/2.43 dependent: set(para_from).
% 2.24/2.43 dependent: set(para_into).
% 2.24/2.43 dependent: clear(para_from_right).
% 2.24/2.43 dependent: clear(para_into_right).
% 2.24/2.43 dependent: set(para_from_vars).
% 2.24/2.43 dependent: set(eq_units_both_ways).
% 2.24/2.43 dependent: set(dynamic_demod_all).
% 2.24/2.43 dependent: set(dynamic_demod).
% 2.24/2.43 dependent: set(order_eq).
% 2.24/2.43 dependent: set(back_demod).
% 2.24/2.43 dependent: set(lrpo).
% 2.24/2.43 dependent: set(hyper_res).
% 2.24/2.43 dependent: set(unit_deletion).
% 2.24/2.43 dependent: set(factor).
% 2.24/2.43
% 2.24/2.43 ------------> process usable:
% 2.24/2.43 ** KEPT (pick-wt=7): 1 [] -m2_cat_1(k20_ens_1($c2,$c1),$c2,k1_yoneda_1($c2)).
% 2.24/2.43 ** KEPT (pick-wt=8): 2 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.24/2.43 ** KEPT (pick-wt=60): 3 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|A=G.
% 2.24/2.43 ** KEPT (pick-wt=60): 4 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|B=H.
% 2.24/2.43 ** KEPT (pick-wt=60): 5 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|C=I.
% 2.84/3.03 ** KEPT (pick-wt=60): 6 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|D=J.
% 2.84/3.03 ** KEPT (pick-wt=60): 7 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|E=K.
% 2.84/3.03 ** KEPT (pick-wt=60): 8 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|g1_cat_1(A,B,C,D,E,F)!=g1_cat_1(G,H,I,J,K,L)|F=L.
% 2.84/3.03 ** KEPT (pick-wt=50): 9 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|v1_cat_1(g1_cat_1(A,B,C,D,E,F)).
% 2.84/3.03 ** KEPT (pick-wt=50): 10 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,B,A)| -m1_relset_1(C,B,A)| -v1_funct_1(D)| -v1_funct_2(D,B,A)| -m1_relset_1(D,B,A)| -v1_funct_1(E)| -m1_relset_1(E,k2_zfmisc_1(B,B),B)| -v1_funct_1(F)| -v1_funct_2(F,A,B)| -m1_relset_1(F,A,B)|l1_cat_1(g1_cat_1(A,B,C,D,E,F)).
% 2.84/3.03 ** KEPT (pick-wt=5): 11 [] -l1_cat_1(A)|v1_funct_1(u3_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=9): 12 [] -l1_cat_1(A)|v1_funct_2(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=9): 13 [] -l1_cat_1(A)|m2_relset_1(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=5): 14 [] -l1_cat_1(A)|v1_funct_1(u4_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=9): 15 [] -l1_cat_1(A)|v1_funct_2(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=9): 16 [] -l1_cat_1(A)|m2_relset_1(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=5): 17 [] -l1_cat_1(A)|v1_funct_1(u5_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=12): 18 [] -l1_cat_1(A)|m2_relset_1(u5_cat_1(A),k2_zfmisc_1(u2_cat_1(A),u2_cat_1(A)),u2_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=5): 19 [] -l1_cat_1(A)|v1_funct_1(u6_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=9): 20 [] -l1_cat_1(A)|v1_funct_2(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=9): 21 [] -l1_cat_1(A)|m2_relset_1(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=8): 22 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.84/3.03 ** KEPT (pick-wt=6): 23 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.84/3.03 ** KEPT (pick-wt=19): 25 [copy,24,flip.3] -l1_cat_1(A)| -v1_cat_1(A)|g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A))=A.
% 2.84/3.03 ** KEPT (pick-wt=8): 26 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.84/3.03 ** KEPT (pick-wt=8): 27 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.84/3.03 ** KEPT (pick-wt=10): 28 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.84/3.03 ** KEPT (pick-wt=5): 29 [] -l1_cat_1(A)| -v1_xboole_0(u2_cat_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=5): 30 [] v1_xboole_0(A)| -v1_xboole_0(k2_ens_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=6): 31 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.84/3.03 ** KEPT (pick-wt=10): 32 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.84/3.03 ** KEPT (pick-wt=9): 33 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.84/3.03 ** KEPT (pick-wt=7): 34 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.84/3.03 ** KEPT (pick-wt=14): 35 [] -v2_cat_1(A)| -l1_cat_1(A)| -v2_cat_1(B)| -l1_cat_1(B)|m2_cat_1($f4(A,B),A,B).
% 2.84/3.03 ** KEPT (pick-wt=7): 36 [] -v2_cat_1(A)| -l1_cat_1(A)|v2_cat_1(k1_yoneda_1(A)).
% 2.84/3.03 ** KEPT (pick-wt=7): 37 [] -v2_cat_1(A)| -l1_cat_1(A)|l1_cat_1(k1_yoneda_1(A)).
% 10.30/10.46 ** KEPT (pick-wt=12): 38 [] -v2_cat_1(A)| -l1_cat_1(A)| -m1_subset_1(B,u1_cat_1(A))|v1_funct_1(k20_ens_1(A,B)).
% 10.30/10.46 ** KEPT (pick-wt=17): 39 [] -v2_cat_1(A)| -l1_cat_1(A)| -m1_subset_1(B,u1_cat_1(A))|v1_funct_2(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))).
% 10.30/10.46 ** KEPT (pick-wt=17): 40 [] -v2_cat_1(A)| -l1_cat_1(A)| -m1_subset_1(B,u1_cat_1(A))|m2_relset_1(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))).
% 10.30/10.46 ** KEPT (pick-wt=14): 41 [] -v2_cat_1(A)| -l1_cat_1(A)| -v2_cat_1(B)| -l1_cat_1(B)| -m2_cat_1(C,A,B)|v1_funct_1(C).
% 10.30/10.46 ** KEPT (pick-wt=18): 42 [] -v2_cat_1(A)| -l1_cat_1(A)| -v2_cat_1(B)| -l1_cat_1(B)| -m2_cat_1(C,A,B)|v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)).
% 10.30/10.46 ** KEPT (pick-wt=18): 43 [] -v2_cat_1(A)| -l1_cat_1(A)| -v2_cat_1(B)| -l1_cat_1(B)| -m2_cat_1(C,A,B)|m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)).
% 10.30/10.46 ** KEPT (pick-wt=5): 44 [] -l1_cat_1(A)| -v1_xboole_0(u1_cat_1(A)).
% 10.30/10.46 ** KEPT (pick-wt=4): 45 [] -v1_xboole_0(A)|v1_funct_1(A).
% 10.30/10.46 ** KEPT (pick-wt=7): 46 [] -v2_cat_1(A)| -l1_cat_1(A)| -v1_xboole_0(k17_ens_1(A)).
% 10.30/10.46 ** KEPT (pick-wt=2): 47 [] -v1_xboole_0($c8).
% 10.30/10.46 ** KEPT (pick-wt=8): 48 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 10.30/10.46 ** KEPT (pick-wt=7): 49 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 10.30/10.46 ** KEPT (pick-wt=7): 50 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 10.30/10.46 ** KEPT (pick-wt=5): 51 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 10.30/10.46 ** KEPT (pick-wt=5): 52 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 10.30/10.46 ** KEPT (pick-wt=10): 53 [] -v2_cat_1(A)| -l1_cat_1(A)|k1_yoneda_1(A)=k12_ens_1(k17_ens_1(A)).
% 10.30/10.46 ** KEPT (pick-wt=21): 54 [] v1_xboole_0(A)| -v2_cat_1(B)| -l1_cat_1(B)| -m1_subset_1(C,u1_cat_1(B))| -r1_tarski(k17_ens_1(B),A)|m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A)).
% 10.30/10.46
% 10.30/10.46 ------------> process sos:
% 10.30/10.46 ** KEPT (pick-wt=3): 333 [] A=A.
% 10.30/10.46 ** KEPT (pick-wt=2): 334 [] v2_cat_1($c2).
% 10.30/10.46 ** KEPT (pick-wt=2): 335 [] l1_cat_1($c2).
% 10.30/10.46 ** KEPT (pick-wt=4): 336 [] m1_subset_1($c1,u1_cat_1($c2)).
% 10.30/10.46 ** KEPT (pick-wt=2): 337 [] v1_relat_1($c3).
% 10.30/10.46 ** KEPT (pick-wt=2): 338 [] v1_funct_1($c3).
% 10.30/10.46 ** KEPT (pick-wt=2): 339 [] v2_funct_1($c3).
% 10.30/10.46 ** KEPT (pick-wt=2): 340 [] v1_relat_1($c4).
% 10.30/10.46 ** KEPT (pick-wt=2): 341 [] v1_funct_1($c4).
% 10.30/10.46 ** KEPT (pick-wt=2): 342 [] v1_relat_1($c5).
% 10.30/10.46 ** KEPT (pick-wt=2): 343 [] v1_xboole_0($c5).
% 10.30/10.46 ** KEPT (pick-wt=2): 344 [] v1_funct_1($c5).
% 10.30/10.46 ** KEPT (pick-wt=6): 345 [] m1_relset_1($f1(A,B),A,B).
% 10.30/10.46 ** KEPT (pick-wt=6): 346 [] m2_relset_1($f2(A,B),A,B).
% 10.30/10.46 ** KEPT (pick-wt=2): 347 [] v1_xboole_0(k1_xboole_0).
% 10.30/10.46 ** KEPT (pick-wt=3): 348 [] r1_tarski(A,A).
% 10.30/10.46 ** KEPT (pick-wt=2): 349 [] l1_cat_1($c6).
% 10.30/10.46 ** KEPT (pick-wt=4): 350 [] m1_subset_1($f3(A),A).
% 10.30/10.46 ** KEPT (pick-wt=5): 351 [] v1_xboole_0(A)|l1_cat_1(k12_ens_1(A)).
% 10.30/10.46 ** KEPT (pick-wt=5): 352 [] v1_xboole_0(A)|v1_cat_1(k12_ens_1(A)).
% 10.30/10.46 ** KEPT (pick-wt=5): 353 [] v1_xboole_0(A)|v2_cat_1(k12_ens_1(A)).
% 10.30/10.46 ** KEPT (pick-wt=2): 354 [] v1_xboole_0($c7).
% 10.30/10.46 Following clause subsumed by 333 during input processing: 0 [copy,333,flip.1] A=A.
% 10.30/10.46 333 back subsumes 136.
% 10.30/10.46
% 10.30/10.46 ======= end of input processing =======
% 10.30/10.46
% 10.30/10.46 =========== start of search ===========
% 10.30/10.46
% 10.30/10.46
% 10.30/10.46 Resetting weight limit to 35.
% 10.30/10.46
% 10.30/10.46
% 10.30/10.46 Resetting weight limit to 35.
% 10.30/10.46
% 10.30/10.46 sos_size=1483
% 10.30/10.46
% 10.30/10.46
% 10.30/10.46 Resetting weight limit to 33.
% 10.30/10.46
% 10.30/10.46
% 10.30/10.46 Resetting weight limit to 33.
% 10.30/10.46
% 10.30/10.46 sos_size=1577
% 10.30/10.46
% 10.30/10.46 -------- PROOF --------
% 10.30/10.46
% 10.30/10.46 -----> EMPTY CLAUSE at 8.04 sec ----> 1959 [hyper,1935,46,334,335] $F.
% 10.30/10.46
% 10.30/10.46 Length of proof is 3. Level of proof is 3.
% 10.30/10.46
% 10.30/10.46 ---------------- PROOF ----------------
% 10.30/10.46 % SZS status Theorem
% 10.30/10.46 % SZS output start Refutation
% See solution above
% 10.30/10.46 ------------ end of proof -------------
% 10.30/10.46
% 10.30/10.46
% 10.30/10.46 Search stopped by max_proofs option.
% 10.30/10.46
% 10.30/10.46
% 10.30/10.46 Search stopped by max_proofs option.
% 10.30/10.46
% 10.30/10.46 ============ end of search ============
% 10.30/10.46
% 10.30/10.46 -------------- statistics -------------
% 10.30/10.46 clauses given 30
% 10.30/10.46 clauses generated 17743
% 10.30/10.46 clauses kept 1954
% 10.30/10.46 clauses forward subsumed 10012
% 10.30/10.46 clauses back subsumed 8
% 10.30/10.46 Kbytes malloced 4882
% 10.30/10.46
% 10.30/10.46 ----------- times (seconds) -----------
% 10.30/10.46 user CPU time 8.04 (0 hr, 0 min, 8 sec)
% 10.30/10.46 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 10.30/10.46 wall-clock time 10 (0 hr, 0 min, 10 sec)
% 10.30/10.46
% 10.30/10.46 That finishes the proof of the theorem.
% 10.30/10.46
% 10.30/10.46 Process 18184 finished Wed Jul 27 01:56:50 2022
% 10.30/10.46 Otter interrupted
% 10.30/10.46 PROOF FOUND
%------------------------------------------------------------------------------