%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET853-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 13:14:24 EDT 2022
% Result : Unsatisfiable 2.75s 2.94s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 34 ( 13 unt; 19 nHn; 29 RR)
% Number of literals : 75 ( 9 equ; 18 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v_xa != c_Zorn_Osucc(v_S,v_x,t_a),
file('SET853-2.p',unknown),
[] ).
cnf(2,plain,
c_Zorn_Osucc(v_S,v_x,t_a) != v_xa,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(3,axiom,
~ c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('SET853-2.p',unknown),
[] ).
cnf(4,axiom,
( c_lesse_quals(c_Zorn_Osucc(v_S,A,t_a),v_x,tc_set(tc_set(t_a)))
| A = v_x
| ~ c_lesse_quals(A,v_x,tc_set(tc_set(t_a)))
| ~ c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
file('SET853-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_lesse_quals(A,B,tc_set(C))
| ~ c_lesse_quals(B,A,tc_set(C))
| B = A ),
file('SET853-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(B,A,C),c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| c_lesse_quals(D,A,tc_set(tc_set(C)))
| c_lesse_quals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C))) ),
file('SET853-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| c_lesse_quals(D,A,tc_set(tc_set(C)))
| c_lesse_quals(c_Zorn_OTFin__linear__lemma1__1(B,A,C),A,tc_set(tc_set(C)))
| c_lesse_quals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C))) ),
file('SET853-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| c_Zorn_OTFin__linear__lemma1__1(B,A,C) != A
| c_lesse_quals(D,A,tc_set(tc_set(C)))
| c_lesse_quals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C))) ),
file('SET853-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_lesse_quals(c_Zorn_Osucc(B,c_Zorn_OTFin__linear__lemma1__1(B,A,C),C),A,tc_set(tc_set(C)))
| c_lesse_quals(D,A,tc_set(tc_set(C)))
| c_lesse_quals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C))) ),
file('SET853-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ c_lesse_quals(A,B,tc_set(tc_set(C)))
| c_lesse_quals(A,c_Zorn_Osucc(D,B,C),tc_set(tc_set(C))) ),
file('SET853-2.p',unknown),
[] ).
cnf(18,axiom,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('SET853-2.p',unknown),
[] ).
cnf(19,axiom,
c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('SET853-2.p',unknown),
[] ).
cnf(20,axiom,
c_lesse_quals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('SET853-2.p',unknown),
[] ).
cnf(21,axiom,
c_lesse_quals(A,A,tc_set(B)),
file('SET853-2.p',unknown),
[] ).
cnf(38,plain,
( c_lesse_quals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
inference(hyper,[status(thm)],[19,7,18]),
[iquote('hyper,19,7,18')] ).
cnf(40,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lesse_quals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
inference(hyper,[status(thm)],[19,6,18]),
[iquote('hyper,19,6,18')] ).
cnf(1381,plain,
( c_lesse_quals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[38,5,20]),2]),
[iquote('hyper,38,5,20,unit_del,2')] ).
cnf(1383,plain,
( c_lesse_quals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a)))
| v_xa = v_x ),
inference(hyper,[status(thm)],[1381,4,19]),
[iquote('hyper,1381,4,19')] ).
cnf(1638,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lesse_quals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[40,5,20]),2]),
[iquote('hyper,40,5,20,unit_del,2')] ).
cnf(1641,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a)))
| v_xa = v_x ),
inference(hyper,[status(thm)],[1638,4,19]),
[iquote('hyper,1638,4,19')] ).
cnf(2500,plain,
( c_lesse_quals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[1383,3]),21]),
[iquote('para_from,1383.3.1,3.1.1.2,unit_del,21')] ).
cnf(2502,plain,
( c_lesse_quals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(A,v_x,t_a),tc_set(tc_set(t_a))) ),
inference(hyper,[status(thm)],[2500,10]),
[iquote('hyper,2500,10')] ).
cnf(2521,plain,
c_lesse_quals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))),
inference(hyper,[status(thm)],[2502,3]),
[iquote('hyper,2502,3')] ).
cnf(2565,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[1641,3]),21]),
[iquote('para_from,1641.3.1,3.1.1.2,unit_del,21')] ).
cnf(2566,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(A,v_x,t_a),tc_set(tc_set(t_a))) ),
inference(hyper,[status(thm)],[2565,10]),
[iquote('hyper,2565,10')] ).
cnf(2569,plain,
c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(hyper,[status(thm)],[2566,3]),
[iquote('hyper,2566,3')] ).
cnf(2570,plain,
( c_lesse_quals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ),
inference(hyper,[status(thm)],[2569,4,2521]),
[iquote('hyper,2569,4,2521')] ).
cnf(2581,plain,
( c_lesse_quals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
inference(hyper,[status(thm)],[2570,8,18,19]),
[iquote('hyper,2570,8,18,19')] ).
cnf(2644,plain,
( c_lesse_quals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2581,9,18,19])])]),
[iquote('hyper,2581,9,18,19,factor_simp,factor_simp')] ).
cnf(2664,plain,
c_lesse_quals(v_xa,v_x,tc_set(tc_set(t_a))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2644,5,20]),2]),
[iquote('hyper,2644,5,20,unit_del,2')] ).
cnf(2693,plain,
( c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a)))
| v_xa = v_x ),
inference(hyper,[status(thm)],[2664,4,19]),
[iquote('hyper,2664,4,19')] ).
cnf(2798,plain,
c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2693,3]),21]),
[iquote('para_from,2693.2.1,3.1.1.2,unit_del,21')] ).
cnf(2801,plain,
c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(A,v_x,t_a),tc_set(tc_set(t_a))),
inference(hyper,[status(thm)],[2798,10]),
[iquote('hyper,2798,10')] ).
cnf(2802,plain,
$false,
inference(binary,[status(thm)],[2801,3]),
[iquote('binary,2801.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET853-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.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 10:19:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.73/1.92 ----- Otter 3.3f, August 2004 -----
% 1.73/1.92 The process was started by sandbox on n010.cluster.edu,
% 1.73/1.92 Wed Jul 27 10:19:39 2022
% 1.73/1.92 The command was "./otter". The process ID is 17315.
% 1.73/1.92
% 1.73/1.92 set(prolog_style_variables).
% 1.73/1.92 set(auto).
% 1.73/1.92 dependent: set(auto1).
% 1.73/1.92 dependent: set(process_input).
% 1.73/1.92 dependent: clear(print_kept).
% 1.73/1.92 dependent: clear(print_new_demod).
% 1.73/1.92 dependent: clear(print_back_demod).
% 1.73/1.92 dependent: clear(print_back_sub).
% 1.73/1.92 dependent: set(control_memory).
% 1.73/1.92 dependent: assign(max_mem, 12000).
% 1.73/1.92 dependent: assign(pick_given_ratio, 4).
% 1.73/1.92 dependent: assign(stats_level, 1).
% 1.73/1.92 dependent: assign(max_seconds, 10800).
% 1.73/1.92 clear(print_given).
% 1.73/1.92
% 1.73/1.92 list(usable).
% 1.73/1.92 0 [] A=A.
% 1.73/1.92 0 [] c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))).
% 1.73/1.92 0 [] c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))).
% 1.73/1.92 0 [] c_lesse_quals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))).
% 1.73/1.92 0 [] v_xa!=c_Zorn_Osucc(v_S,v_x,t_a).
% 1.73/1.92 0 [] -c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))).
% 1.73/1.92 0 [] c_lesse_quals(c_Zorn_Osucc(v_S,V_U,t_a),v_x,tc_set(tc_set(t_a)))|V_U=v_x| -c_lesse_quals(V_U,v_x,tc_set(tc_set(t_a)))| -c_in(V_U,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))).
% 1.73/1.92 0 [] -c_lesse_quals(V_B,V_A,tc_set(T_a))| -c_lesse_quals(V_A,V_B,tc_set(T_a))|V_A=V_B.
% 1.73/1.92 0 [] c_lesse_quals(V_A,V_A,tc_set(T_a)).
% 1.73/1.92 0 [] -c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| -c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))|c_in(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))|c_lesse_quals(V_n,V_m,tc_set(tc_set(T_a)))|c_lesse_quals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))).
% 1.73/1.92 0 [] -c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| -c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))|c_lesse_quals(V_n,V_m,tc_set(tc_set(T_a)))|c_lesse_quals(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),V_m,tc_set(tc_set(T_a)))|c_lesse_quals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))).
% 1.73/1.92 0 [] -c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| -c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))|c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a)!=V_m|c_lesse_quals(V_n,V_m,tc_set(tc_set(T_a)))|c_lesse_quals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))).
% 1.73/1.92 0 [] -c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| -c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| -c_lesse_quals(c_Zorn_Osucc(V_S,c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),T_a),V_m,tc_set(tc_set(T_a)))|c_lesse_quals(V_n,V_m,tc_set(tc_set(T_a)))|c_lesse_quals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))).
% 1.73/1.92 0 [] -c_lesse_quals(V_x,V_y,tc_set(tc_set(T_a)))|c_lesse_quals(V_x,c_Zorn_Osucc(V_S,V_y,T_a),tc_set(tc_set(T_a))).
% 1.73/1.92 end_of_list.
% 1.73/1.92
% 1.73/1.92 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.73/1.92
% 1.73/1.92 This ia a non-Horn set with equality. The strategy will be
% 1.73/1.92 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.73/1.92 deletion, with positive clauses in sos and nonpositive
% 1.73/1.92 clauses in usable.
% 1.73/1.92
% 1.73/1.92 dependent: set(knuth_bendix).
% 1.73/1.92 dependent: set(anl_eq).
% 1.73/1.92 dependent: set(para_from).
% 1.73/1.92 dependent: set(para_into).
% 1.73/1.92 dependent: clear(para_from_right).
% 1.73/1.92 dependent: clear(para_into_right).
% 1.73/1.92 dependent: set(para_from_vars).
% 1.73/1.92 dependent: set(eq_units_both_ways).
% 1.73/1.92 dependent: set(dynamic_demod_all).
% 1.73/1.92 dependent: set(dynamic_demod).
% 1.73/1.92 dependent: set(order_eq).
% 1.73/1.92 dependent: set(back_demod).
% 1.73/1.92 dependent: set(lrpo).
% 1.73/1.92 dependent: set(hyper_res).
% 1.73/1.92 dependent: set(unit_deletion).
% 1.73/1.92 dependent: set(factor).
% 1.73/1.92
% 1.73/1.92 ------------> process usable:
% 1.73/1.92 ** KEPT (pick-wt=6): 2 [copy,1,flip.1] c_Zorn_Osucc(v_S,v_x,t_a)!=v_xa.
% 1.73/1.92 ** KEPT (pick-wt=12): 3 [] -c_lesse_quals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))).
% 1.73/1.92 ** KEPT (pick-wt=26): 4 [] c_lesse_quals(c_Zorn_Osucc(v_S,A,t_a),v_x,tc_set(tc_set(t_a)))|A=v_x| -c_lesse_quals(A,v_x,tc_set(tc_set(t_a)))| -c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))).
% 1.73/1.92 ** KEPT (pick-wt=13): 5 [] -c_lesse_quals(A,B,tc_set(C))| -c_lesse_quals(B,A,tc_set(C))|B=A.
% 1.73/1.92 ** KEPT (pick-wt=42): 6 [] -c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))| -c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))|c_in(c_Zorn_OTFin__linear__lemma1__1(B,A,C),c_Zorn_OTFin(B,C),tc_set(tc_set(C)))|c_lesse_quals(D,A,tc_set(tc_set(C)))|c_lesse_quals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C))).
% 2.75/2.94 ** KEPT (pick-wt=40): 7 [] -c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))| -c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))|c_lesse_quals(D,A,tc_set(tc_set(C)))|c_lesse_quals(c_Zorn_OTFin__linear__lemma1__1(B,A,C),A,tc_set(tc_set(C)))|c_lesse_quals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C))).
% 2.75/2.94 ** KEPT (pick-wt=37): 8 [] -c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))| -c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))|c_Zorn_OTFin__linear__lemma1__1(B,A,C)!=A|c_lesse_quals(D,A,tc_set(tc_set(C)))|c_lesse_quals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C))).
% 2.75/2.94 ** KEPT (pick-wt=43): 9 [] -c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))| -c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))| -c_lesse_quals(c_Zorn_Osucc(B,c_Zorn_OTFin__linear__lemma1__1(B,A,C),C),A,tc_set(tc_set(C)))|c_lesse_quals(D,A,tc_set(tc_set(C)))|c_lesse_quals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C))).
% 2.75/2.94 ** KEPT (pick-wt=15): 10 [] -c_lesse_quals(A,B,tc_set(tc_set(C)))|c_lesse_quals(A,c_Zorn_Osucc(D,B,C),tc_set(tc_set(C))).
% 2.75/2.94
% 2.75/2.94 ------------> process sos:
% 2.75/2.94 ** KEPT (pick-wt=3): 17 [] A=A.
% 2.75/2.94 ** KEPT (pick-wt=8): 18 [] c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))).
% 2.75/2.94 ** KEPT (pick-wt=8): 19 [] c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))).
% 2.75/2.94 ** KEPT (pick-wt=9): 20 [] c_lesse_quals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))).
% 2.75/2.94 ** KEPT (pick-wt=5): 21 [] c_lesse_quals(A,A,tc_set(B)).
% 2.75/2.94 Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] A=A.
% 2.75/2.94 17 back subsumes 11.
% 2.75/2.94 21 back subsumes 16.
% 2.75/2.94 21 back subsumes 15.
% 2.75/2.94 21 back subsumes 13.
% 2.75/2.94 21 back subsumes 12.
% 2.75/2.94
% 2.75/2.94 ======= end of input processing =======
% 2.75/2.94
% 2.75/2.94 =========== start of search ===========
% 2.75/2.94
% 2.75/2.94
% 2.75/2.94 Resetting weight limit to 28.
% 2.75/2.94
% 2.75/2.94
% 2.75/2.94 Resetting weight limit to 28.
% 2.75/2.94
% 2.75/2.94 sos_size=2354
% 2.75/2.94
% 2.75/2.94 -------- PROOF --------
% 2.75/2.94
% 2.75/2.94 ----> UNIT CONFLICT at 1.03 sec ----> 2802 [binary,2801.1,3.1] $F.
% 2.75/2.94
% 2.75/2.94 Length of proof is 20. Level of proof is 13.
% 2.75/2.94
% 2.75/2.94 ---------------- PROOF ----------------
% 2.75/2.94 % SZS status Unsatisfiable
% 2.75/2.94 % SZS output start Refutation
% See solution above
% 2.75/2.94 ------------ end of proof -------------
% 2.75/2.94
% 2.75/2.94
% 2.75/2.94 Search stopped by max_proofs option.
% 2.75/2.94
% 2.75/2.94
% 2.75/2.94 Search stopped by max_proofs option.
% 2.75/2.94
% 2.75/2.94 ============ end of search ============
% 2.75/2.94
% 2.75/2.94 -------------- statistics -------------
% 2.75/2.94 clauses given 290
% 2.75/2.94 clauses generated 13476
% 2.75/2.94 clauses kept 2800
% 2.75/2.94 clauses forward subsumed 3598
% 2.75/2.94 clauses back subsumed 537
% 2.75/2.94 Kbytes malloced 4882
% 2.75/2.94
% 2.75/2.94 ----------- times (seconds) -----------
% 2.75/2.94 user CPU time 1.03 (0 hr, 0 min, 1 sec)
% 2.75/2.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.75/2.94 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.75/2.94
% 2.75/2.94 That finishes the proof of the theorem.
% 2.75/2.94
% 2.75/2.94 Process 17315 finished Wed Jul 27 10:19:42 2022
% 2.75/2.94 Otter interrupted
% 2.75/2.95 PROOF FOUND
%------------------------------------------------------------------------------