TSTP Solution File: GRP645+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 12:57:31 EDT 2022
% Result : Theorem 2.31s 2.51s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 19
% Syntax : Number of clauses : 32 ( 23 unt; 9 nHn; 31 RR)
% Number of literals : 86 ( 14 equ; 49 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ v3_struct_0(dollar_c3),
file('GRP645+1.p',unknown),
[] ).
cnf(2,axiom,
k1_funct_1(k1_latsubgr(dollar_c3),k9_group_2(dollar_c3,dollar_c2,dollar_c1)) != k3_xboole_0(k1_funct_1(k1_latsubgr(dollar_c3),dollar_c2),k1_funct_1(k1_latsubgr(dollar_c3),dollar_c1)),
file('GRP645+1.p',unknown),
[] ).
cnf(3,plain,
k3_xboole_0(k1_funct_1(k1_latsubgr(dollar_c3),dollar_c2),k1_funct_1(k1_latsubgr(dollar_c3),dollar_c1)) != k1_funct_1(k1_latsubgr(dollar_c3),k9_group_2(dollar_c3,dollar_c2,dollar_c1)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,flip.1')] ).
cnf(11,axiom,
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| ~ m1_group_2(B,A)
| ~ m1_group_2(C,A)
| k9_group_2(A,B,C) = k9_group_2(A,C,B) ),
file('GRP645+1.p',unknown),
[] ).
cnf(12,axiom,
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| ~ v1_funct_1(B)
| ~ v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| ~ m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
| B != k1_latsubgr(A)
| ~ v1_group_1(C)
| ~ m1_group_2(C,A)
| k1_funct_1(B,C) = u1_struct_0(C) ),
file('GRP645+1.p',unknown),
[] ).
cnf(19,axiom,
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| v1_funct_1(k1_latsubgr(A)) ),
file('GRP645+1.p',unknown),
[] ).
cnf(20,axiom,
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) ),
file('GRP645+1.p',unknown),
[] ).
cnf(21,axiom,
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) ),
file('GRP645+1.p',unknown),
[] ).
cnf(24,axiom,
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| ~ m1_group_2(B,A)
| ~ m1_group_2(C,A)
| v1_group_1(k9_group_2(A,B,C)) ),
file('GRP645+1.p',unknown),
[] ).
cnf(25,axiom,
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| ~ m1_group_2(B,A)
| ~ m1_group_2(C,A)
| m1_group_2(k9_group_2(A,B,C),A) ),
file('GRP645+1.p',unknown),
[] ).
cnf(46,axiom,
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| ~ m1_group_2(B,A)
| ~ m1_group_2(C,A)
| k9_group_2(A,B,C) = k8_group_2(A,B,C) ),
file('GRP645+1.p',unknown),
[] ).
cnf(50,axiom,
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| ~ v1_group_1(B)
| ~ m1_group_2(B,A)
| ~ v1_group_1(C)
| ~ m1_group_2(C,A)
| u1_struct_0(k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) ),
file('GRP645+1.p',unknown),
[] ).
cnf(70,axiom,
A = A,
file('GRP645+1.p',unknown),
[] ).
cnf(71,axiom,
v3_group_1(dollar_c3),
file('GRP645+1.p',unknown),
[] ).
cnf(72,axiom,
v4_group_1(dollar_c3),
file('GRP645+1.p',unknown),
[] ).
cnf(73,axiom,
l1_group_1(dollar_c3),
file('GRP645+1.p',unknown),
[] ).
cnf(74,axiom,
v1_group_1(dollar_c2),
file('GRP645+1.p',unknown),
[] ).
cnf(75,axiom,
m1_group_2(dollar_c2,dollar_c3),
file('GRP645+1.p',unknown),
[] ).
cnf(76,axiom,
v1_group_1(dollar_c1),
file('GRP645+1.p',unknown),
[] ).
cnf(77,axiom,
m1_group_2(dollar_c1,dollar_c3),
file('GRP645+1.p',unknown),
[] ).
cnf(122,plain,
m2_relset_1(k1_latsubgr(dollar_c3),k1_group_3(dollar_c3),k1_zfmisc_1(u1_struct_0(dollar_c3))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[73,21,71,72]),1]),
[iquote('hyper,73,21,71,72,unit_del,1')] ).
cnf(123,plain,
v1_funct_2(k1_latsubgr(dollar_c3),k1_group_3(dollar_c3),k1_zfmisc_1(u1_struct_0(dollar_c3))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[73,20,71,72]),1]),
[iquote('hyper,73,20,71,72,unit_del,1')] ).
cnf(124,plain,
v1_funct_1(k1_latsubgr(dollar_c3)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[73,19,71,72]),1]),
[iquote('hyper,73,19,71,72,unit_del,1')] ).
cnf(198,plain,
u1_struct_0(k9_group_2(dollar_c3,dollar_c2,dollar_c1)) = k3_xboole_0(k1_funct_1(k1_latsubgr(dollar_c3),dollar_c2),k1_funct_1(k1_latsubgr(dollar_c3),dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[77,50,71,72,73,74,75,76]),1]),
[iquote('hyper,77,50,71,72,73,74,75,76,unit_del,1')] ).
cnf(203,plain,
k9_group_2(dollar_c3,dollar_c2,dollar_c1) = k8_group_2(dollar_c3,dollar_c2,dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[77,46,71,72,73,75]),1]),
[iquote('hyper,77,46,71,72,73,75,unit_del,1')] ).
cnf(205,plain,
k9_group_2(dollar_c3,dollar_c1,dollar_c2) = k8_group_2(dollar_c3,dollar_c1,dollar_c2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[77,46,71,72,73,75]),1]),
[iquote('hyper,77,46,71,72,73,75,unit_del,1')] ).
cnf(209,plain,
m1_group_2(k8_group_2(dollar_c3,dollar_c1,dollar_c2),dollar_c3),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[77,25,71,72,73,75]),205]),1]),
[iquote('hyper,77,25,71,72,73,75,demod,205,unit_del,1')] ).
cnf(211,plain,
v1_group_1(k8_group_2(dollar_c3,dollar_c1,dollar_c2)),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[77,24,71,72,73,75]),205]),1]),
[iquote('hyper,77,24,71,72,73,75,demod,205,unit_del,1')] ).
cnf(213,plain,
k8_group_2(dollar_c3,dollar_c2,dollar_c1) = k8_group_2(dollar_c3,dollar_c1,dollar_c2),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[77,11,71,72,73,75]),203,205]),1]),
[iquote('hyper,77,11,71,72,73,75,demod,203,205,unit_del,1')] ).
cnf(215,plain,
u1_struct_0(k8_group_2(dollar_c3,dollar_c1,dollar_c2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(dollar_c3),dollar_c2),k1_funct_1(k1_latsubgr(dollar_c3),dollar_c1)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[198]),203,213]),
[iquote('back_demod,198,demod,203,213')] ).
cnf(216,plain,
k3_xboole_0(k1_funct_1(k1_latsubgr(dollar_c3),dollar_c2),k1_funct_1(k1_latsubgr(dollar_c3),dollar_c1)) != k1_funct_1(k1_latsubgr(dollar_c3),k8_group_2(dollar_c3,dollar_c1,dollar_c2)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3]),203,213]),
[iquote('back_demod,3,demod,203,213')] ).
cnf(709,plain,
$false,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[123,12,71,72,73,124,122,70,211,209]),215]),1,216]),
[iquote('hyper,123,12,71,72,73,124,122,70,211,209,demod,215,unit_del,1,216')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n020.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 05:18:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.26/2.40 ----- Otter 3.3f, August 2004 -----
% 2.26/2.40 The process was started by sandbox2 on n020.cluster.edu,
% 2.26/2.40 Wed Jul 27 05:18:23 2022
% 2.26/2.40 The command was "./otter". The process ID is 9385.
% 2.26/2.40
% 2.26/2.40 set(prolog_style_variables).
% 2.26/2.40 set(auto).
% 2.26/2.40 dependent: set(auto1).
% 2.26/2.40 dependent: set(process_input).
% 2.26/2.40 dependent: clear(print_kept).
% 2.26/2.40 dependent: clear(print_new_demod).
% 2.26/2.40 dependent: clear(print_back_demod).
% 2.26/2.40 dependent: clear(print_back_sub).
% 2.26/2.40 dependent: set(control_memory).
% 2.26/2.40 dependent: assign(max_mem, 12000).
% 2.26/2.40 dependent: assign(pick_given_ratio, 4).
% 2.26/2.40 dependent: assign(stats_level, 1).
% 2.26/2.40 dependent: assign(max_seconds, 10800).
% 2.26/2.40 clear(print_given).
% 2.26/2.40
% 2.26/2.40 formula_list(usable).
% 2.26/2.40 all A (A=A).
% 2.26/2.40 -(all A (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)-> (all B (v1_group_1(B)&m1_group_2(B,A)-> (all C (v1_group_1(C)&m1_group_2(C,A)->k1_funct_1(k1_latsubgr(A),k9_group_2(A,B,C))=k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)))))))).
% 2.26/2.40 all A (l1_group_1(A)-> (v1_group_1(A)->A=g1_group_1(u1_struct_0(A),u1_group_1(A)))).
% 2.26/2.40 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.26/2.40 all A B C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_partfun1(C,A,B)->v1_funct_1(C)&v1_funct_2(C,A,B))).
% 2.26/2.40 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.26/2.40 all A B (-v1_xboole_0(B)-> (all C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_funct_2(C,A,B)->v1_funct_1(C)&v1_partfun1(C,A,B)&v1_funct_2(C,A,B))))).
% 2.26/2.40 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> (all C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_funct_2(C,A,B)->v1_funct_1(C)& -v1_xboole_0(C)&v1_partfun1(C,A,B)&v1_funct_2(C,A,B))))).
% 2.26/2.40 all A B (k3_xboole_0(A,B)=k3_xboole_0(B,A)).
% 2.26/2.40 all A B C (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)&m1_group_2(B,A)&m1_group_2(C,A)->k9_group_2(A,B,C)=k9_group_2(A,C,B)).
% 2.26/2.40 all A (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)-> (all B (v1_funct_1(B)&v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))&m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))-> (B=k1_latsubgr(A)<-> (all C (v1_group_1(C)&m1_group_2(C,A)->k1_funct_1(B,C)=u1_struct_0(C))))))).
% 2.26/2.40 all A B (v1_funct_1(B)&v1_funct_2(B,k2_zfmisc_1(A,A),A)&m1_relset_1(B,k2_zfmisc_1(A,A),A)->v1_group_1(g1_group_1(A,B))&l1_group_1(g1_group_1(A,B))).
% 2.26/2.40 $T.
% 2.26/2.40 $T.
% 2.26/2.40 all A (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)->v1_funct_1(k1_latsubgr(A))&v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))&m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))).
% 2.26/2.40 $T.
% 2.26/2.40 $T.
% 2.26/2.40 $T.
% 2.26/2.40 $T.
% 2.26/2.40 all A B C (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)&m1_group_2(B,A)&m1_group_2(C,A)->v1_group_1(k8_group_2(A,B,C))&m1_group_2(k8_group_2(A,B,C),A)).
% 2.26/2.40 all A B C (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)&m1_group_2(B,A)&m1_group_2(C,A)->v1_group_1(k9_group_2(A,B,C))&m1_group_2(k9_group_2(A,B,C),A)).
% 2.26/2.40 all A (l1_group_1(A)->l1_struct_0(A)).
% 2.26/2.40 $T.
% 2.26/2.40 all A (-v3_struct_0(A)&v3_group_1(A)&l1_group_1(A)-> (all B (m1_group_2(B,A)-> -v3_struct_0(B)&v3_group_1(B)&l1_group_1(B)))).
% 2.26/2.40 $T.
% 2.26/2.40 $T.
% 2.26/2.40 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.26/2.40 all A (l1_group_1(A)->v1_funct_1(u1_group_1(A))&v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))&m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))).
% 2.26/2.40 $T.
% 2.26/2.40 exists A l1_group_1(A).
% 2.26/2.40 exists A l1_struct_0(A).
% 2.26/2.40 all A (-v3_struct_0(A)&v3_group_1(A)&l1_group_1(A)-> (exists B m1_group_2(B,A))).
% 2.26/2.40 all A B exists C m1_relset_1(C,A,B).
% 2.26/2.40 all A exists B m1_subset_1(B,A).
% 2.26/2.40 all A B exists C m2_relset_1(C,A,B).
% 2.26/2.40 all A (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)-> -v1_xboole_0(k1_group_3(A))).
% 2.26/2.40 all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.26/2.40 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.26/2.40 v1_xboole_0(k1_xboole_0).
% 2.26/2.40 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 2.26/2.40 all A B (v1_funct_1(B)&v1_funct_2(B,k2_zfmisc_1(A,A),A)&m1_relset_1(B,k2_zfmisc_1(A,A),A)-> (all C D (g1_group_1(A,B)=g1_group_1(C,D)->A=C&B=D))).
% 2.26/2.40 all A B (k3_xboole_0(A,A)=A).
% 2.26/2.40 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)&v1_funct_2(C,A,B)).
% 2.26/2.40 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.26/2.40 exists A v1_xboole_0(A).
% 2.26/2.40 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)).
% 2.26/2.40 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.26/2.40 exists A (-v1_xboole_0(A)).
% 2.26/2.40 exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.26/2.40 all A (-v3_struct_0(A)&l1_struct_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))& -v1_xboole_0(B)))).
% 2.26/2.40 all A B C (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)&m1_group_2(B,A)&m1_group_2(C,A)->k9_group_2(A,B,C)=k8_group_2(A,B,C)).
% 2.26/2.40 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.26/2.40 all A B r1_tarski(A,A).
% 2.26/2.40 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.26/2.40 all A (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)-> (all B (v1_group_1(B)&m1_group_2(B,A)-> (all C (v1_group_1(C)&m1_group_2(C,A)->u1_struct_0(k9_group_2(A,B,C))=k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C))))))).
% 2.26/2.40 all A (k3_xboole_0(A,k1_xboole_0)=k1_xboole_0).
% 2.26/2.40 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.26/2.40 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.26/2.40 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.26/2.40 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.26/2.40 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.26/2.40 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.26/2.40 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.26/2.40 end_of_list.
% 2.26/2.40
% 2.26/2.40 -------> usable clausifies to:
% 2.26/2.40
% 2.26/2.40 list(usable).
% 2.26/2.40 0 [] A=A.
% 2.26/2.40 0 [] -v3_struct_0($c3).
% 2.26/2.40 0 [] v3_group_1($c3).
% 2.26/2.40 0 [] v4_group_1($c3).
% 2.26/2.40 0 [] l1_group_1($c3).
% 2.26/2.40 0 [] v1_group_1($c2).
% 2.26/2.40 0 [] m1_group_2($c2,$c3).
% 2.26/2.40 0 [] v1_group_1($c1).
% 2.26/2.40 0 [] m1_group_2($c1,$c3).
% 2.26/2.40 0 [] k1_funct_1(k1_latsubgr($c3),k9_group_2($c3,$c2,$c1))!=k3_xboole_0(k1_funct_1(k1_latsubgr($c3),$c2),k1_funct_1(k1_latsubgr($c3),$c1)).
% 2.26/2.40 0 [] -l1_group_1(A)| -v1_group_1(A)|A=g1_group_1(u1_struct_0(A),u1_group_1(A)).
% 2.26/2.40 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.26/2.40 0 [] -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_partfun1(C,A,B)|v1_funct_2(C,A,B).
% 2.26/2.40 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.26/2.40 0 [] v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.26/2.40 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v1_xboole_0(C).
% 2.26/2.40 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.26/2.40 0 [] k3_xboole_0(A,B)=k3_xboole_0(B,A).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|k9_group_2(A,B,C)=k9_group_2(A,C,B).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_funct_1(B)| -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))| -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))|B!=k1_latsubgr(A)| -v1_group_1(C)| -m1_group_2(C,A)|k1_funct_1(B,C)=u1_struct_0(C).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_funct_1(B)| -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))| -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))|B=k1_latsubgr(A)|v1_group_1($f1(A,B)).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_funct_1(B)| -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))| -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))|B=k1_latsubgr(A)|m1_group_2($f1(A,B),A).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_funct_1(B)| -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))| -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))|B=k1_latsubgr(A)|k1_funct_1(B,$f1(A,B))!=u1_struct_0($f1(A,B)).
% 2.26/2.40 0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|v1_group_1(g1_group_1(A,B)).
% 2.26/2.40 0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|l1_group_1(g1_group_1(A,B)).
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|v1_funct_1(k1_latsubgr(A)).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|v1_group_1(k8_group_2(A,B,C)).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|m1_group_2(k8_group_2(A,B,C),A).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|v1_group_1(k9_group_2(A,B,C)).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|m1_group_2(k9_group_2(A,B,C),A).
% 2.26/2.40 0 [] -l1_group_1(A)|l1_struct_0(A).
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -v3_struct_0(B).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)|v3_group_1(B).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)|l1_group_1(B).
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.26/2.40 0 [] -l1_group_1(A)|v1_funct_1(u1_group_1(A)).
% 2.26/2.40 0 [] -l1_group_1(A)|v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.26/2.40 0 [] -l1_group_1(A)|m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.26/2.40 0 [] $T.
% 2.26/2.40 0 [] l1_group_1($c4).
% 2.26/2.40 0 [] l1_struct_0($c5).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -l1_group_1(A)|m1_group_2($f2(A),A).
% 2.26/2.40 0 [] m1_relset_1($f3(A,B),A,B).
% 2.26/2.40 0 [] m1_subset_1($f4(A),A).
% 2.26/2.40 0 [] m2_relset_1($f5(A,B),A,B).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_xboole_0(k1_group_3(A)).
% 2.26/2.40 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.26/2.40 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.26/2.40 0 [] v1_xboole_0(k1_xboole_0).
% 2.26/2.40 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.26/2.40 0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|g1_group_1(A,B)!=g1_group_1(C,D)|A=C.
% 2.26/2.40 0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|g1_group_1(A,B)!=g1_group_1(C,D)|B=D.
% 2.26/2.40 0 [] k3_xboole_0(A,A)=A.
% 2.26/2.40 0 [] m1_relset_1($f6(A,B),A,B).
% 2.26/2.40 0 [] v1_relat_1($f6(A,B)).
% 2.26/2.40 0 [] v1_funct_1($f6(A,B)).
% 2.26/2.40 0 [] v1_funct_2($f6(A,B),A,B).
% 2.26/2.40 0 [] v1_xboole_0(A)|m1_subset_1($f7(A),k1_zfmisc_1(A)).
% 2.26/2.40 0 [] v1_xboole_0(A)| -v1_xboole_0($f7(A)).
% 2.26/2.40 0 [] v1_xboole_0($c6).
% 2.26/2.40 0 [] m1_relset_1($f8(A,B),A,B).
% 2.26/2.40 0 [] v1_relat_1($f8(A,B)).
% 2.26/2.40 0 [] v1_funct_1($f8(A,B)).
% 2.26/2.40 0 [] m1_subset_1($f9(A),k1_zfmisc_1(A)).
% 2.26/2.40 0 [] v1_xboole_0($f9(A)).
% 2.26/2.40 0 [] -v1_xboole_0($c7).
% 2.26/2.40 0 [] l1_struct_0($c8).
% 2.26/2.40 0 [] -v3_struct_0($c8).
% 2.26/2.40 0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f10(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.26/2.40 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f10(A)).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|k9_group_2(A,B,C)=k8_group_2(A,B,C).
% 2.26/2.40 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.26/2.40 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.26/2.40 0 [] r1_tarski(A,A).
% 2.26/2.40 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.26/2.40 0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_group_1(B)| -m1_group_2(B,A)| -v1_group_1(C)| -m1_group_2(C,A)|u1_struct_0(k9_group_2(A,B,C))=k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)).
% 2.26/2.40 0 [] k3_xboole_0(A,k1_xboole_0)=k1_xboole_0.
% 2.26/2.40 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.26/2.40 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.26/2.40 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.26/2.40 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.26/2.40 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.26/2.40 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.26/2.40 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.26/2.40 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.26/2.40 end_of_list.
% 2.26/2.40
% 2.26/2.40 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 2.26/2.40
% 2.26/2.40 This ia a non-Horn set with equality. The strategy will be
% 2.26/2.40 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.26/2.40 deletion, with positive clauses in sos and nonpositive
% 2.26/2.40 clauses in usable.
% 2.26/2.40
% 2.26/2.40 dependent: set(knuth_bendix).
% 2.26/2.40 dependent: set(anl_eq).
% 2.26/2.40 dependent: set(para_from).
% 2.26/2.40 dependent: set(para_into).
% 2.26/2.40 dependent: clear(para_from_right).
% 2.26/2.40 dependent: clear(para_into_right).
% 2.26/2.40 dependent: set(para_from_vars).
% 2.26/2.40 dependent: set(eq_units_both_ways).
% 2.26/2.40 dependent: set(dynamic_demod_all).
% 2.26/2.40 dependent: set(dynamic_demod).
% 2.26/2.40 dependent: set(order_eq).
% 2.26/2.40 dependent: set(back_demod).
% 2.26/2.40 dependent: set(lrpo).
% 2.26/2.40 dependent: set(hyper_res).
% 2.26/2.40 dependent: set(unit_deletion).
% 2.26/2.40 dependent: set(factor).
% 2.26/2.40
% 2.26/2.40 ------------> process usable:
% 2.26/2.40 ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c3).
% 2.26/2.40 ** KEPT (pick-wt=17): 3 [copy,2,flip.1] k3_xboole_0(k1_funct_1(k1_latsubgr($c3),$c2),k1_funct_1(k1_latsubgr($c3),$c1))!=k1_funct_1(k1_latsubgr($c3),k9_group_2($c3,$c2,$c1)).
% 2.26/2.40 ** KEPT (pick-wt=11): 5 [copy,4,flip.3] -l1_group_1(A)| -v1_group_1(A)|g1_group_1(u1_struct_0(A),u1_group_1(A))=A.
% 2.26/2.40 ** KEPT (pick-wt=6): 6 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.26/2.40 ** KEPT (pick-wt=14): 7 [] -m1_relset_1(A,B,C)| -v1_funct_1(A)| -v1_partfun1(A,B,C)|v1_funct_2(A,B,C).
% 2.26/2.40 ** KEPT (pick-wt=8): 8 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.26/2.40 ** KEPT (pick-wt=16): 9 [] v1_xboole_0(A)| -m1_relset_1(B,C,A)| -v1_funct_1(B)| -v1_funct_2(B,C,A)|v1_partfun1(B,C,A).
% 2.26/2.40 ** KEPT (pick-wt=16): 10 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v1_xboole_0(C).
% 2.26/2.40 Following clause subsumed by 9 during input processing: 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.26/2.40 ** KEPT (pick-wt=23): 11 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|k9_group_2(A,B,C)=k9_group_2(A,C,B).
% 2.26/2.40 ** KEPT (pick-wt=39): 12 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_funct_1(B)| -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))| -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))|B!=k1_latsubgr(A)| -v1_group_1(C)| -m1_group_2(C,A)|k1_funct_1(B,C)=u1_struct_0(C).
% 2.26/2.40 ** KEPT (pick-wt=32): 13 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_funct_1(B)| -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))| -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))|B=k1_latsubgr(A)|v1_group_1($f1(A,B)).
% 2.26/2.40 ** KEPT (pick-wt=33): 14 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_funct_1(B)| -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))| -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))|B=k1_latsubgr(A)|m1_group_2($f1(A,B),A).
% 2.26/2.40 ** KEPT (pick-wt=38): 16 [copy,15,flip.9] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_funct_1(B)| -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))| -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))|B=k1_latsubgr(A)|u1_struct_0($f1(A,B))!=k1_funct_1(B,$f1(A,B)).
% 2.26/2.40 ** KEPT (pick-wt=18): 17 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|v1_group_1(g1_group_1(B,A)).
% 2.26/2.40 ** KEPT (pick-wt=18): 18 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|l1_group_1(g1_group_1(B,A)).
% 2.26/2.40 ** KEPT (pick-wt=11): 19 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|v1_funct_1(k1_latsubgr(A)).
% 2.26/2.40 ** KEPT (pick-wt=16): 20 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.26/2.40 ** KEPT (pick-wt=16): 21 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.26/2.40 ** KEPT (pick-wt=19): 22 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|v1_group_1(k8_group_2(A,B,C)).
% 2.26/2.40 ** KEPT (pick-wt=20): 23 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|m1_group_2(k8_group_2(A,B,C),A).
% 2.26/2.40 ** KEPT (pick-wt=19): 24 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|v1_group_1(k9_group_2(A,B,C)).
% 2.26/2.40 ** KEPT (pick-wt=20): 25 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|m1_group_2(k9_group_2(A,B,C),A).
% 2.26/2.40 ** KEPT (pick-wt=4): 26 [] -l1_group_1(A)|l1_struct_0(A).
% 2.26/2.40 ** KEPT (pick-wt=11): 27 [] v3_struct_0(A)| -v3_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -v3_struct_0(B).
% 2.26/2.40 ** KEPT (pick-wt=11): 28 [] v3_struct_0(A)| -v3_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)|v3_group_1(B).
% 2.26/2.40 ** KEPT (pick-wt=11): 29 [] v3_struct_0(A)| -v3_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)|l1_group_1(B).
% 2.26/2.40 ** KEPT (pick-wt=10): 30 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.26/2.40 ** KEPT (pick-wt=5): 31 [] -l1_group_1(A)|v1_funct_1(u1_group_1(A)).
% 2.26/2.40 ** KEPT (pick-wt=12): 32 [] -l1_group_1(A)|v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.26/2.40 ** KEPT (pick-wt=12): 33 [] -l1_group_1(A)|m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.26/2.40 ** KEPT (pick-wt=10): 34 [] v3_struct_0(A)| -v3_group_1(A)| -l1_group_1(A)|m1_group_2($f2(A),A).
% 2.26/2.40 ** KEPT (pick-wt=11): 35 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_xboole_0(k1_group_3(A)).
% 2.26/2.40 ** KEPT (pick-wt=7): 36 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.26/2.40 ** KEPT (pick-wt=3): 37 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.26/2.40 ** KEPT (pick-wt=8): 38 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.26/2.40 ** KEPT (pick-wt=24): 39 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|g1_group_1(B,A)!=g1_group_1(C,D)|B=C.
% 2.26/2.40 ** KEPT (pick-wt=24): 40 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|g1_group_1(B,A)!=g1_group_1(C,D)|A=D.
% 2.26/2.40 ** KEPT (pick-wt=5): 41 [] v1_xboole_0(A)| -v1_xboole_0($f7(A)).
% 2.26/2.40 ** KEPT (pick-wt=2): 42 [] -v1_xboole_0($c7).
% 2.26/2.40 ** KEPT (pick-wt=2): 43 [] -v3_struct_0($c8).
% 2.26/2.40 ** KEPT (pick-wt=10): 44 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f10(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.26/2.40 ** KEPT (pick-wt=7): 45 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f10(A)).
% 2.26/2.40 ** KEPT (pick-wt=23): 46 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_group_2(B,A)| -m1_group_2(C,A)|k9_group_2(A,B,C)=k8_group_2(A,B,C).
% 2.26/2.40 ** KEPT (pick-wt=8): 47 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.26/2.40 ** KEPT (pick-wt=8): 48 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.26/2.40 ** KEPT (pick-wt=6): 49 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.26/2.40 ** KEPT (pick-wt=33): 50 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -v1_group_1(B)| -m1_group_2(B,A)| -v1_group_1(C)| -m1_group_2(C,A)|u1_struct_0(k9_group_2(A,B,C))=k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)).
% 2.26/2.40 ** KEPT (pick-wt=8): 51 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.26/2.40 ** KEPT (pick-wt=7): 52 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.26/2.40 ** KEPT (pick-wt=7): 53 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.26/2.40 ** KEPT (pick-wt=10): 54 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.26/2.40 ** KEPT (pick-wt=9): 55 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.26/2.40 ** KEPT (pick-wt=5): 56 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.26/2.40 ** KEPT (pick-wt=5): 57 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.26/2.40 ** KEPT (pick-wt=7): 58 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.26/2.40
% 2.26/2.40 ------------> process sos:
% 2.26/2.40 ** KEPT (pick-wt=3): 70 [] A=A.
% 2.26/2.40 ** KEPT (pick-wt=2): 71 [] v3_group_1($c3).
% 2.26/2.40 ** KEPT (pick-wt=2): 72 [] v4_group_1($c3).
% 2.26/2.40 ** KEPT (pick-wt=2): 73 [] l1_group_1($c3).
% 2.26/2.40 ** KEPT (pick-wt=2): 74 [] v1_group_1($c2).
% 2.26/2.40 ** KEPT (pick-wt=3): 75 [] m1_group_2($c2,$c3).
% 2.26/2.40 ** KEPT (pick-wt=2): 76 [] v1_group_1($c1).
% 2.26/2.40 ** KEPT (pick-wt=3): 77 [] m1_group_2($c1,$c3).
% 2.26/2.40 ** KEPT (pick-wt=7): 78 [] k3_xboole_0(A,B)=k3_xboole_0(B,A).
% 2.26/2.40 ** KEPT (pick-wt=2): 79 [] l1_group_1($c4).
% 2.26/2.40 ** KEPT (pick-wt=2): 80 [] l1_struct_0($c5).
% 2.26/2.40 ** KEPT (pick-wt=6): 81 [] m1_relset_1($f3(A,B),A,B).
% 2.26/2.40 ** KEPT (pick-wt=4): 82 [] m1_subset_1($f4(A),A).
% 2.26/2.40 ** KEPT (pick-wt=6): 83 [] m2_relset_1($f5(A,B),A,B).
% 2.26/2.40 ** KEPT (pick-wt=2): 84 [] v1_xboole_0(k1_xboole_0).
% 2.26/2.40 ** KEPT (pick-wt=5): 85 [] k3_xboole_0(A,A)=A.
% 2.26/2.40 ---> New Demodulator: 86 [new_demod,85] k3_xboole_0(A,A)=A.
% 2.26/2.40 ** KEPT (pick-wt=6): 87 [] m1_relset_1($f6(A,B),A,B).
% 2.26/2.40 ** KEPT (pick-wt=4): 88 [] v1_relat_1($f6(A,B)).
% 2.31/2.51 ** KEPT (pick-wt=4): 89 [] v1_funct_1($f6(A,B)).
% 2.31/2.51 ** KEPT (pick-wt=6): 90 [] v1_funct_2($f6(A,B),A,B).
% 2.31/2.51 ** KEPT (pick-wt=7): 91 [] v1_xboole_0(A)|m1_subset_1($f7(A),k1_zfmisc_1(A)).
% 2.31/2.51 ** KEPT (pick-wt=2): 92 [] v1_xboole_0($c6).
% 2.31/2.51 ** KEPT (pick-wt=6): 93 [] m1_relset_1($f8(A,B),A,B).
% 2.31/2.51 ** KEPT (pick-wt=4): 94 [] v1_relat_1($f8(A,B)).
% 2.31/2.51 ** KEPT (pick-wt=4): 95 [] v1_funct_1($f8(A,B)).
% 2.31/2.51 ** KEPT (pick-wt=5): 96 [] m1_subset_1($f9(A),k1_zfmisc_1(A)).
% 2.31/2.51 ** KEPT (pick-wt=3): 97 [] v1_xboole_0($f9(A)).
% 2.31/2.51 ** KEPT (pick-wt=2): 98 [] l1_struct_0($c8).
% 2.31/2.51 ** KEPT (pick-wt=3): 99 [] r1_tarski(A,A).
% 2.31/2.51 ** KEPT (pick-wt=5): 100 [] k3_xboole_0(A,k1_xboole_0)=k1_xboole_0.
% 2.31/2.51 ---> New Demodulator: 101 [new_demod,100] k3_xboole_0(A,k1_xboole_0)=k1_xboole_0.
% 2.31/2.51 Following clause subsumed by 70 during input processing: 0 [copy,70,flip.1] A=A.
% 2.31/2.51 70 back subsumes 69.
% 2.31/2.51 70 back subsumes 61.
% 2.31/2.51 Following clause subsumed by 78 during input processing: 0 [copy,78,flip.1] k3_xboole_0(A,B)=k3_xboole_0(B,A).
% 2.31/2.51 >>>> Starting back demodulation with 86.
% 2.31/2.51 >> back demodulating 68 with 86.
% 2.31/2.51 >>>> Starting back demodulation with 101.
% 2.31/2.51
% 2.31/2.51 ======= end of input processing =======
% 2.31/2.51
% 2.31/2.51 =========== start of search ===========
% 2.31/2.51
% 2.31/2.51
% 2.31/2.51 Resetting weight limit to 6.
% 2.31/2.51
% 2.31/2.51
% 2.31/2.51 Resetting weight limit to 6.
% 2.31/2.51
% 2.31/2.51 sos_size=458
% 2.31/2.51
% 2.31/2.51 -------- PROOF --------
% 2.31/2.51
% 2.31/2.51 -----> EMPTY CLAUSE at 0.10 sec ----> 709 [hyper,123,12,71,72,73,124,122,70,211,209,demod,215,unit_del,1,216] $F.
% 2.31/2.51
% 2.31/2.51 Length of proof is 12. Level of proof is 3.
% 2.31/2.51
% 2.31/2.51 ---------------- PROOF ----------------
% 2.31/2.51 % SZS status Theorem
% 2.31/2.51 % SZS output start Refutation
% See solution above
% 2.31/2.51 ------------ end of proof -------------
% 2.31/2.51
% 2.31/2.51
% 2.31/2.51 Search stopped by max_proofs option.
% 2.31/2.51
% 2.31/2.51
% 2.31/2.51 Search stopped by max_proofs option.
% 2.31/2.51
% 2.31/2.51 ============ end of search ============
% 2.31/2.51
% 2.31/2.51 -------------- statistics -------------
% 2.31/2.51 clauses given 141
% 2.31/2.51 clauses generated 3584
% 2.31/2.51 clauses kept 677
% 2.31/2.51 clauses forward subsumed 416
% 2.31/2.51 clauses back subsumed 9
% 2.31/2.51 Kbytes malloced 4882
% 2.31/2.51
% 2.31/2.51 ----------- times (seconds) -----------
% 2.31/2.51 user CPU time 0.10 (0 hr, 0 min, 0 sec)
% 2.31/2.51 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.31/2.51 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.31/2.51
% 2.31/2.51 That finishes the proof of the theorem.
% 2.31/2.51
% 2.31/2.51 Process 9385 finished Wed Jul 27 05:18:25 2022
% 2.31/2.51 Otter interrupted
% 2.31/2.51 PROOF FOUND
%------------------------------------------------------------------------------