TSTP Solution File: SEU451+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:16:19 EDT 2022
% Result : Theorem 1.93s 2.16s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 16 unt; 0 nHn; 16 RR)
% Number of literals : 30 ( 13 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
k9_relset_2(dollar_c3,dollar_c3,dollar_c2,k6_partfun1(dollar_c3),dollar_c1) != k9_relset_2(dollar_c3,dollar_c2,dollar_c2,dollar_c1,k6_partfun1(dollar_c2)),
file('SEU451+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ m2_relset_1(A,B,C)
| m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) ),
file('SEU451+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ m1_relset_1(A,B,C)
| ~ m1_relset_1(D,E,F)
| k7_relset_1(B,C,E,F,A,D) = k5_relat_1(A,D) ),
file('SEU451+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))
| ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,E)))
| k9_relset_2(B,C,E,A,D) = k5_relat_1(A,D) ),
file('SEU451+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ m2_relset_1(A,B,C)
| m1_relset_1(A,B,C) ),
file('SEU451+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ m2_relset_1(A,B,C)
| k7_relset_1(B,B,B,C,k6_partfun1(B),A) = A ),
file('SEU451+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ m2_relset_1(A,B,C)
| k7_relset_1(B,C,C,C,A,k6_partfun1(C)) = A ),
file('SEU451+1.p',unknown),
[] ).
cnf(41,axiom,
A = A,
file('SEU451+1.p',unknown),
[] ).
cnf(42,axiom,
m2_relset_1(dollar_c1,dollar_c3,dollar_c2),
file('SEU451+1.p',unknown),
[] ).
cnf(44,axiom,
m2_relset_1(k6_partfun1(A),A,A),
file('SEU451+1.p',unknown),
[] ).
cnf(96,plain,
k7_relset_1(dollar_c3,dollar_c2,dollar_c2,dollar_c2,dollar_c1,k6_partfun1(dollar_c2)) = dollar_c1,
inference(hyper,[status(thm)],[42,24]),
[iquote('hyper,42,24')] ).
cnf(98,plain,
k7_relset_1(dollar_c3,dollar_c3,dollar_c3,dollar_c2,k6_partfun1(dollar_c3),dollar_c1) = dollar_c1,
inference(hyper,[status(thm)],[42,23]),
[iquote('hyper,42,23')] ).
cnf(99,plain,
m1_relset_1(dollar_c1,dollar_c3,dollar_c2),
inference(hyper,[status(thm)],[42,20]),
[iquote('hyper,42,20')] ).
cnf(100,plain,
m1_subset_1(dollar_c1,k1_zfmisc_1(k2_zfmisc_1(dollar_c3,dollar_c2))),
inference(hyper,[status(thm)],[42,9]),
[iquote('hyper,42,9')] ).
cnf(134,plain,
m1_relset_1(k6_partfun1(A),A,A),
inference(hyper,[status(thm)],[44,20]),
[iquote('hyper,44,20')] ).
cnf(135,plain,
m1_subset_1(k6_partfun1(A),k1_zfmisc_1(k2_zfmisc_1(A,A))),
inference(hyper,[status(thm)],[44,9]),
[iquote('hyper,44,9')] ).
cnf(906,plain,
k5_relat_1(dollar_c1,k6_partfun1(A)) = k7_relset_1(dollar_c3,dollar_c2,A,A,dollar_c1,k6_partfun1(A)),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[134,18,99])]),
[iquote('hyper,134,18,99,flip.1')] ).
cnf(915,plain,
k5_relat_1(k6_partfun1(A),dollar_c1) = k7_relset_1(A,A,dollar_c3,dollar_c2,k6_partfun1(A),dollar_c1),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[134,18,99])]),
[iquote('hyper,134,18,99,flip.1')] ).
cnf(1623,plain,
k9_relset_2(dollar_c3,dollar_c2,dollar_c2,dollar_c1,k6_partfun1(dollar_c2)) = dollar_c1,
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[135,19,100]),906,96]),
[iquote('hyper,135,19,100,demod,906,96')] ).
cnf(1631,plain,
k9_relset_2(dollar_c3,dollar_c3,dollar_c2,k6_partfun1(dollar_c3),dollar_c1) = dollar_c1,
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[135,19,100]),915,98]),
[iquote('hyper,135,19,100,demod,915,98')] ).
cnf(1644,plain,
dollar_c1 != dollar_c1,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1]),1631,1623]),
[iquote('back_demod,1,demod,1631,1623')] ).
cnf(1645,plain,
$false,
inference(binary,[status(thm)],[1644,41]),
[iquote('binary,1644.1,41.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n024.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 07:49:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.93/2.14 ----- Otter 3.3f, August 2004 -----
% 1.93/2.14 The process was started by sandbox2 on n024.cluster.edu,
% 1.93/2.14 Wed Jul 27 07:49:10 2022
% 1.93/2.14 The command was "./otter". The process ID is 5174.
% 1.93/2.14
% 1.93/2.14 set(prolog_style_variables).
% 1.93/2.14 set(auto).
% 1.93/2.14 dependent: set(auto1).
% 1.93/2.14 dependent: set(process_input).
% 1.93/2.14 dependent: clear(print_kept).
% 1.93/2.14 dependent: clear(print_new_demod).
% 1.93/2.14 dependent: clear(print_back_demod).
% 1.93/2.14 dependent: clear(print_back_sub).
% 1.93/2.14 dependent: set(control_memory).
% 1.93/2.14 dependent: assign(max_mem, 12000).
% 1.93/2.14 dependent: assign(pick_given_ratio, 4).
% 1.93/2.14 dependent: assign(stats_level, 1).
% 1.93/2.14 dependent: assign(max_seconds, 10800).
% 1.93/2.14 clear(print_given).
% 1.93/2.14
% 1.93/2.14 formula_list(usable).
% 1.93/2.14 all A (A=A).
% 1.93/2.14 -(all A B C (m2_relset_1(C,A,B)->k9_relset_2(A,A,B,k6_partfun1(A),C)=k9_relset_2(A,B,B,C,k6_partfun1(B)))).
% 1.93/2.14 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 1.93/2.14 all A (v1_relat_1(A)&v3_relat_2(A)&v8_relat_2(A)->v1_relat_1(A)&v1_relat_2(A)).
% 1.93/2.14 all A (v1_xboole_0(A)->v1_relat_1(A)).
% 1.93/2.14 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 1.93/2.14 $T.
% 1.93/2.14 $T.
% 1.93/2.14 $T.
% 1.93/2.14 all A B (v1_relat_1(A)&v1_relat_1(B)->v1_relat_1(k5_relat_1(A,B))).
% 1.93/2.14 all A (v1_partfun1(k6_partfun1(A),A,A)&m2_relset_1(k6_partfun1(A),A,A)).
% 1.93/2.14 all A v1_relat_1(k6_relat_1(A)).
% 1.93/2.14 all A B C D E F (m1_relset_1(E,A,B)&m1_relset_1(F,C,D)->m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D)).
% 1.93/2.14 all A B C D E (m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))&m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C)))->m2_relset_1(k9_relset_2(A,B,C,D,E),A,C)).
% 1.93/2.14 $T.
% 1.93/2.14 $T.
% 1.93/2.14 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 1.93/2.14 all A B exists C m1_relset_1(C,A,B).
% 1.93/2.14 all A exists B m1_subset_1(B,A).
% 1.93/2.14 all A B exists C m2_relset_1(C,A,B).
% 1.93/2.14 all A B (v1_xboole_0(A)&v1_relat_1(B)->v1_xboole_0(k5_relat_1(B,A))&v1_relat_1(k5_relat_1(B,A))).
% 1.93/2.14 v1_xboole_0(k1_xboole_0).
% 1.93/2.14 v1_relat_1(k1_xboole_0).
% 1.93/2.14 v3_relat_1(k1_xboole_0).
% 1.93/2.14 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 1.93/2.14 all A B v1_relat_1(k2_zfmisc_1(A,B)).
% 1.93/2.14 all A (v1_relat_1(k6_relat_1(A))&v1_funct_1(k6_relat_1(A))&v1_relat_2(k6_relat_1(A))&v3_relat_2(k6_relat_1(A))&v4_relat_2(k6_relat_1(A))&v8_relat_2(k6_relat_1(A))).
% 1.93/2.14 v1_xboole_0(k1_xboole_0).
% 1.93/2.14 v1_relat_1(k1_xboole_0).
% 1.93/2.14 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 1.93/2.14 all A B (v1_xboole_0(A)&v1_relat_1(B)->v1_xboole_0(k5_relat_1(A,B))&v1_relat_1(k5_relat_1(A,B))).
% 1.93/2.14 exists A (v1_xboole_0(A)&v1_relat_1(A)).
% 1.93/2.14 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 1.93/2.14 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)).
% 1.93/2.14 exists A (-v1_xboole_0(A)&v1_relat_1(A)).
% 1.93/2.14 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 1.93/2.14 all A exists B (m1_relset_1(B,A,A)&v1_relat_1(B)&v1_relat_2(B)&v3_relat_2(B)&v4_relat_2(B)&v8_relat_2(B)&v1_partfun1(B,A,A)).
% 1.93/2.14 exists A (v1_relat_1(A)&v3_relat_1(A)).
% 1.93/2.14 all A (k6_partfun1(A)=k6_relat_1(A)).
% 1.93/2.14 all A B C D E F (m1_relset_1(E,A,B)&m1_relset_1(F,C,D)->k7_relset_1(A,B,C,D,E,F)=k5_relat_1(E,F)).
% 1.93/2.14 all A B C D E (m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))&m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C)))->k9_relset_2(A,B,C,D,E)=k5_relat_1(D,E)).
% 1.93/2.14 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 1.93/2.14 all A B r1_tarski(A,A).
% 1.93/2.14 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 1.93/2.14 all A B C (m2_relset_1(C,A,B)->k7_relset_1(A,A,A,B,k6_partfun1(A),C)=C&k7_relset_1(A,B,B,B,C,k6_partfun1(B))=C).
% 1.93/2.14 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 1.93/2.14 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 1.93/2.14 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 1.93/2.14 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 1.93/2.14 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 1.93/2.14 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 1.93/2.14 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 1.93/2.14 end_of_list.
% 1.93/2.14
% 1.93/2.14 -------> usable clausifies to:
% 1.93/2.14
% 1.93/2.14 list(usable).
% 1.93/2.14 0 [] A=A.
% 1.93/2.14 0 [] m2_relset_1($c1,$c3,$c2).
% 1.93/2.14 0 [] k9_relset_2($c3,$c3,$c2,k6_partfun1($c3),$c1)!=k9_relset_2($c3,$c2,$c2,$c1,k6_partfun1($c2)).
% 1.93/2.14 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 1.93/2.14 0 [] -v1_relat_1(A)| -v3_relat_2(A)| -v8_relat_2(A)|v1_relat_2(A).
% 1.93/2.14 0 [] -v1_xboole_0(A)|v1_relat_1(A).
% 1.93/2.14 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 1.93/2.14 0 [] $T.
% 1.93/2.14 0 [] $T.
% 1.93/2.14 0 [] $T.
% 1.93/2.14 0 [] -v1_relat_1(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 1.93/2.14 0 [] v1_partfun1(k6_partfun1(A),A,A).
% 1.93/2.14 0 [] m2_relset_1(k6_partfun1(A),A,A).
% 1.93/2.14 0 [] v1_relat_1(k6_relat_1(A)).
% 1.93/2.14 0 [] -m1_relset_1(E,A,B)| -m1_relset_1(F,C,D)|m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D).
% 1.93/2.14 0 [] -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C)))|m2_relset_1(k9_relset_2(A,B,C,D,E),A,C).
% 1.93/2.14 0 [] $T.
% 1.93/2.14 0 [] $T.
% 1.93/2.14 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 1.93/2.14 0 [] m1_relset_1($f1(A,B),A,B).
% 1.93/2.14 0 [] m1_subset_1($f2(A),A).
% 1.93/2.14 0 [] m2_relset_1($f3(A,B),A,B).
% 1.93/2.14 0 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_xboole_0(k5_relat_1(B,A)).
% 1.93/2.14 0 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(B,A)).
% 1.93/2.14 0 [] v1_xboole_0(k1_xboole_0).
% 1.93/2.14 0 [] v1_relat_1(k1_xboole_0).
% 1.93/2.14 0 [] v3_relat_1(k1_xboole_0).
% 1.93/2.14 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 1.93/2.14 0 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 1.93/2.14 0 [] v1_relat_1(k6_relat_1(A)).
% 1.93/2.14 0 [] v1_funct_1(k6_relat_1(A)).
% 1.93/2.14 0 [] v1_relat_2(k6_relat_1(A)).
% 1.93/2.14 0 [] v3_relat_2(k6_relat_1(A)).
% 1.93/2.14 0 [] v4_relat_2(k6_relat_1(A)).
% 1.93/2.14 0 [] v8_relat_2(k6_relat_1(A)).
% 1.93/2.14 0 [] v1_xboole_0(k1_xboole_0).
% 1.93/2.14 0 [] v1_relat_1(k1_xboole_0).
% 1.93/2.14 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 1.93/2.14 0 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_xboole_0(k5_relat_1(A,B)).
% 1.93/2.14 0 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 1.93/2.14 0 [] v1_xboole_0($c4).
% 1.93/2.14 0 [] v1_relat_1($c4).
% 1.93/2.14 0 [] v1_xboole_0(A)|m1_subset_1($f4(A),k1_zfmisc_1(A)).
% 1.93/2.14 0 [] v1_xboole_0(A)| -v1_xboole_0($f4(A)).
% 1.93/2.14 0 [] m1_relset_1($f5(A,B),A,B).
% 1.93/2.14 0 [] v1_relat_1($f5(A,B)).
% 1.93/2.14 0 [] v1_funct_1($f5(A,B)).
% 1.93/2.14 0 [] -v1_xboole_0($c5).
% 1.93/2.14 0 [] v1_relat_1($c5).
% 1.93/2.14 0 [] m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 1.93/2.14 0 [] v1_xboole_0($f6(A)).
% 1.93/2.14 0 [] m1_relset_1($f7(A),A,A).
% 1.93/2.14 0 [] v1_relat_1($f7(A)).
% 1.93/2.14 0 [] v1_relat_2($f7(A)).
% 1.93/2.14 0 [] v3_relat_2($f7(A)).
% 1.93/2.14 0 [] v4_relat_2($f7(A)).
% 1.93/2.14 0 [] v8_relat_2($f7(A)).
% 1.93/2.14 0 [] v1_partfun1($f7(A),A,A).
% 1.93/2.14 0 [] v1_relat_1($c6).
% 1.93/2.14 0 [] v3_relat_1($c6).
% 1.93/2.14 0 [] k6_partfun1(A)=k6_relat_1(A).
% 1.93/2.14 0 [] -m1_relset_1(E,A,B)| -m1_relset_1(F,C,D)|k7_relset_1(A,B,C,D,E,F)=k5_relat_1(E,F).
% 1.93/2.14 0 [] -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C)))|k9_relset_2(A,B,C,D,E)=k5_relat_1(D,E).
% 1.93/2.14 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 1.93/2.14 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 1.93/2.14 0 [] r1_tarski(A,A).
% 1.93/2.14 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 1.93/2.14 0 [] -m2_relset_1(C,A,B)|k7_relset_1(A,A,A,B,k6_partfun1(A),C)=C.
% 1.93/2.14 0 [] -m2_relset_1(C,A,B)|k7_relset_1(A,B,B,B,C,k6_partfun1(B))=C.
% 1.93/2.14 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 1.93/2.14 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 1.93/2.14 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 1.93/2.14 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 1.93/2.14 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 1.93/2.14 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 1.93/2.14 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 1.93/2.14 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 1.93/2.14 end_of_list.
% 1.93/2.14
% 1.93/2.14 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.93/2.14
% 1.93/2.14 This ia a non-Horn set with equality. The strategy will be
% 1.93/2.14 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.93/2.14 deletion, with positive clauses in sos and nonpositive
% 1.93/2.14 clauses in usable.
% 1.93/2.14
% 1.93/2.14 dependent: set(knuth_bendix).
% 1.93/2.14 dependent: set(anl_eq).
% 1.93/2.14 dependent: set(para_from).
% 1.93/2.14 dependent: set(para_into).
% 1.93/2.14 dependent: clear(para_from_right).
% 1.93/2.14 dependent: clear(para_into_right).
% 1.93/2.14 dependent: set(para_from_vars).
% 1.93/2.14 dependent: set(eq_units_both_ways).
% 1.93/2.14 dependent: set(dynamic_demod_all).
% 1.93/2.14 dependent: set(dynamic_demod).
% 1.93/2.14 dependent: set(order_eq).
% 1.93/2.14 dependent: set(back_demod).
% 1.93/2.14 dependent: set(lrpo).
% 1.93/2.14 dependent: set(hyper_res).
% 1.93/2.14 dependent: set(unit_deletion).
% 1.93/2.14 dependent: set(factor).
% 1.93/2.14
% 1.93/2.14 ------------> process usable:
% 1.93/2.14 ** KEPT (pick-wt=15): 1 [] k9_relset_2($c3,$c3,$c2,k6_partfun1($c3),$c1)!=k9_relset_2($c3,$c2,$c2,$c1,k6_partfun1($c2)).
% 1.93/2.14 ** KEPT (pick-wt=6): 2 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 1.93/2.14 ** KEPT (pick-wt=8): 3 [] -v1_relat_1(A)| -v3_relat_2(A)| -v8_relat_2(A)|v1_relat_2(A).
% 1.93/2.14 ** KEPT (pick-wt=4): 4 [] -v1_xboole_0(A)|v1_relat_1(A).
% 1.93/2.14 ** KEPT (pick-wt=8): 5 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 1.93/2.14 ** KEPT (pick-wt=8): 6 [] -v1_relat_1(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 1.93/2.14 ** KEPT (pick-wt=18): 7 [] -m1_relset_1(A,B,C)| -m1_relset_1(D,E,F)|m2_relset_1(k7_relset_1(B,C,E,F,A,D),B,F).
% 1.93/2.14 ** KEPT (pick-wt=21): 8 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,E)))|m2_relset_1(k9_relset_2(B,C,E,A,D),B,E).
% 1.93/2.14 ** KEPT (pick-wt=10): 9 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 1.93/2.14 ** KEPT (pick-wt=8): 10 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_xboole_0(k5_relat_1(B,A)).
% 1.93/2.14 ** KEPT (pick-wt=8): 11 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(B,A)).
% 1.93/2.14 ** KEPT (pick-wt=3): 12 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 1.93/2.14 ** KEPT (pick-wt=8): 13 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 1.93/2.14 ** KEPT (pick-wt=8): 14 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_xboole_0(k5_relat_1(A,B)).
% 1.93/2.14 ** KEPT (pick-wt=8): 15 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 1.93/2.14 ** KEPT (pick-wt=5): 16 [] v1_xboole_0(A)| -v1_xboole_0($f4(A)).
% 1.93/2.14 ** KEPT (pick-wt=2): 17 [] -v1_xboole_0($c5).
% 1.93/2.14 ** KEPT (pick-wt=19): 18 [] -m1_relset_1(A,B,C)| -m1_relset_1(D,E,F)|k7_relset_1(B,C,E,F,A,D)=k5_relat_1(A,D).
% 1.93/2.14 ** KEPT (pick-wt=22): 19 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,E)))|k9_relset_2(B,C,E,A,D)=k5_relat_1(A,D).
% 1.93/2.14 ** KEPT (pick-wt=8): 20 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 1.93/2.14 ** KEPT (pick-wt=8): 21 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 1.93/2.14 ** KEPT (pick-wt=6): 22 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 1.93/2.14 ** KEPT (pick-wt=14): 23 [] -m2_relset_1(A,B,C)|k7_relset_1(B,B,B,C,k6_partfun1(B),A)=A.
% 1.93/2.14 ** KEPT (pick-wt=14): 24 [] -m2_relset_1(A,B,C)|k7_relset_1(B,C,C,C,A,k6_partfun1(C))=A.
% 1.93/2.14 ** KEPT (pick-wt=8): 25 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 1.93/2.14 ** KEPT (pick-wt=7): 26 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 1.93/2.14 ** KEPT (pick-wt=7): 27 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 1.93/2.14 ** KEPT (pick-wt=10): 28 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 1.93/2.14 ** KEPT (pick-wt=9): 29 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 1.93/2.14 ** KEPT (pick-wt=5): 30 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 1.93/2.14 ** KEPT (pick-wt=5): 31 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 1.93/2.14 ** KEPT (pick-wt=7): 32 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 1.93/2.14
% 1.93/2.14 ------------> process sos:
% 1.93/2.14 ** KEPT (pick-wt=3): 41 [] A=A.
% 1.93/2.14 ** KEPT (pick-wt=4): 42 [] m2_relset_1($c1,$c3,$c2).
% 1.93/2.14 ** KEPT (pick-wt=5): 43 [] v1_partfun1(k6_partfun1(A),A,A).
% 1.93/2.14 ** KEPT (pick-wt=5): 44 [] m2_relset_1(k6_partfun1(A),A,A).
% 1.93/2.14 ** KEPT (pick-wt=3): 45 [] v1_relat_1(k6_relat_1(A)).
% 1.93/2.14 ** KEPT (pick-wt=6): 46 [] m1_relset_1($f1(A,B),A,B).
% 1.93/2.14 ** KEPT (pick-wt=4): 47 [] m1_subset_1($f2(A),A).
% 1.93/2.14 ** KEPT (pick-wt=6): 48 [] m2_relset_1($f3(A,B),A,B).
% 1.93/2.14 ** KEPT (pick-wt=2): 49 [] v1_xboole_0(k1_xboole_0).
% 1.93/2.14 ** KEPT (pick-wt=2): 50 [] v1_relat_1(k1_xboole_0).
% 1.93/2.14 ** KEPT (pick-wt=2): 51 [] v3_relat_1(k1_xboole_0).
% 1.93/2.14 ** KEPT (pick-wt=4): 52 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 1.93/2.14 Following clause subsumed by 45 during input processing: 0 [] v1_relat_1(k6_relat_1(A)).
% 1.93/2.14 ** KEPT (pick-wt=3): 53 [] v1_funct_1(k6_relat_1(A)).
% 1.93/2.14 ** KEPT (pick-wt=3): 54 [] v1_relat_2(k6_relat_1(A)).
% 1.93/2.14 ** KEPT (pick-wt=3): 55 [] v3_relat_2(k6_relat_1(A)).
% 1.93/2.14 ** KEPT (pick-wt=3): 56 [] v4_relat_2(k6_relat_1(A)).
% 1.93/2.14 ** KEPT (pick-wt=3): 57 [] v8_relat_2(k6_relat_1(A)).
% 1.93/2.14 Following clause subsumed by 49 during input processing: 0 [] v1_xboole_0(k1_xboole_0).
% 1.93/2.14 Following clause subsumed by 50 during input processing: 0 [] v1_relat_1(k1_xboole_0).
% 1.93/2.14 ** KEPT (pick-wt=2): 58 [] v1_xboole_0($c4).
% 1.93/2.14 ** KEPT (pick-wt=2): 59 [] v1_relat_1($c4).
% 1.93/2.14 ** KEPT (pick-wt=7): 60 [] v1_xboole_0(A)|m1_subset_1($f4(A),k1_zfmisc_1(A)).
% 1.93/2.14 ** KEPT (pick-wt=6): 61 [] m1_relset_1($f5(A,B),A,B).
% 1.93/2.14 ** KEPT (pick-wt=4): 62 [] v1_relat_1($f5(A,B)).
% 1.93/2.14 ** KEPT (pick-wt=4): 63 [] v1_funct_1($f5(A,B)).
% 1.93/2.14 ** KEPT (pick-wt=2): 64 [] v1_relat_1($c5).
% 1.93/2.14 ** KEPT (pick-wt=5): 65 [] m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 1.93/2.14 ** KEPT (pick-wt=3): 66 [] v1_xboole_0($f6(A)).
% 1.93/2.14 ** KEPT (pick-wt=5): 67 [] m1_relset_1($f7(A),A,A).
% 1.93/2.14 ** KEPT (pick-wt=3): 68 [] v1_relat_1($f7(A)).
% 1.93/2.14 ** KEPT (pick-wt=3): 69 [] v1_relat_2($f7(A)).
% 1.93/2.16 ** KEPT (pick-wt=3): 70 [] v3_relat_2($f7(A)).
% 1.93/2.16 ** KEPT (pick-wt=3): 71 [] v4_relat_2($f7(A)).
% 1.93/2.16 ** KEPT (pick-wt=3): 72 [] v8_relat_2($f7(A)).
% 1.93/2.16 ** KEPT (pick-wt=5): 73 [] v1_partfun1($f7(A),A,A).
% 1.93/2.16 ** KEPT (pick-wt=2): 74 [] v1_relat_1($c6).
% 1.93/2.16 ** KEPT (pick-wt=2): 75 [] v3_relat_1($c6).
% 1.93/2.16 ** KEPT (pick-wt=5): 77 [copy,76,flip.1] k6_relat_1(A)=k6_partfun1(A).
% 1.93/2.16 ---> New Demodulator: 78 [new_demod,77] k6_relat_1(A)=k6_partfun1(A).
% 1.93/2.16 ** KEPT (pick-wt=3): 79 [] r1_tarski(A,A).
% 1.93/2.16 Following clause subsumed by 41 during input processing: 0 [copy,41,flip.1] A=A.
% 1.93/2.16 41 back subsumes 40.
% 1.93/2.16 >>>> Starting back demodulation with 78.
% 1.93/2.16 >> back demodulating 57 with 78.
% 1.93/2.16 >> back demodulating 56 with 78.
% 1.93/2.16 >> back demodulating 55 with 78.
% 1.93/2.16 >> back demodulating 54 with 78.
% 1.93/2.16 >> back demodulating 53 with 78.
% 1.93/2.16 >> back demodulating 45 with 78.
% 1.93/2.16
% 1.93/2.16 ======= end of input processing =======
% 1.93/2.16
% 1.93/2.16 =========== start of search ===========
% 1.93/2.16
% 1.93/2.16 -------- PROOF --------
% 1.93/2.16
% 1.93/2.16 ----> UNIT CONFLICT at 0.02 sec ----> 1645 [binary,1644.1,41.1] $F.
% 1.93/2.16
% 1.93/2.16 Length of proof is 11. Level of proof is 4.
% 1.93/2.16
% 1.93/2.16 ---------------- PROOF ----------------
% 1.93/2.16 % SZS status Theorem
% 1.93/2.16 % SZS output start Refutation
% See solution above
% 1.93/2.16 ------------ end of proof -------------
% 1.93/2.16
% 1.93/2.16
% 1.93/2.16 Search stopped by max_proofs option.
% 1.93/2.16
% 1.93/2.16
% 1.93/2.16 Search stopped by max_proofs option.
% 1.93/2.16
% 1.93/2.16 ============ end of search ============
% 1.93/2.16
% 1.93/2.16 -------------- statistics -------------
% 1.93/2.16 clauses given 106
% 1.93/2.16 clauses generated 2716
% 1.93/2.16 clauses kept 1558
% 1.93/2.16 clauses forward subsumed 1718
% 1.93/2.16 clauses back subsumed 32
% 1.93/2.16 Kbytes malloced 3906
% 1.93/2.16
% 1.93/2.16 ----------- times (seconds) -----------
% 1.93/2.16 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.93/2.16 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.93/2.16 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.93/2.16
% 1.93/2.16 That finishes the proof of the theorem.
% 1.93/2.16
% 1.93/2.16 Process 5174 finished Wed Jul 27 07:49:12 2022
% 1.93/2.16 Otter interrupted
% 1.93/2.16 PROOF FOUND
%------------------------------------------------------------------------------