%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET857-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:14:25 EDT 2022
% Result : Unsatisfiable 2.43s 2.65s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 13 unt; 23 nHn; 33 RR)
% Number of literals : 91 ( 6 equ; 19 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 38 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(A,B,C)
| ~ c_lesse_quals(B,D,tc_set(C))
| c_in(A,D,C) ),
file('SET857-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Main_OsubsetI__1(A,B,C),B,C)
| c_lesse_quals(A,B,tc_set(C)) ),
file('SET857-2.p',unknown),
[] ).
cnf(3,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('SET857-2.p',unknown),
[] ).
cnf(4,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('SET857-2.p',unknown),
[] ).
cnf(5,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('SET857-2.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_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('SET857-2.p',unknown),
[] ).
cnf(7,axiom,
~ c_lesse_quals(v_x,v_n,tc_set(tc_set(t_a))),
file('SET857-2.p',unknown),
[] ).
cnf(8,axiom,
~ c_lesse_quals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))),
file('SET857-2.p',unknown),
[] ).
cnf(9,axiom,
( c_lesse_quals(c_Zorn_Osucc(v_S,A,t_a),B,tc_set(tc_set(t_a)))
| A = B
| ~ c_lesse_quals(A,B,tc_set(tc_set(t_a)))
| ~ c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(B,v_Y,tc_set(tc_set(t_a))) ),
file('SET857-2.p',unknown),
[] ).
cnf(11,plain,
( ~ c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| c_lesse_quals(A,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),A,tc_set(tc_set(C))) ),
inference(factor,[status(thm)],[4]),
[iquote('factor,4.1.2')] ).
cnf(16,axiom,
( c_in(c_Main_OsubsetI__1(A,B,C),A,C)
| c_lesse_quals(A,B,tc_set(C)) ),
file('SET857-2.p',unknown),
[] ).
cnf(17,axiom,
c_lesse_quals(A,c_Zorn_Osucc(B,A,C),tc_set(tc_set(C))),
file('SET857-2.p',unknown),
[] ).
cnf(18,axiom,
c_lesse_quals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
file('SET857-2.p',unknown),
[] ).
cnf(19,axiom,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('SET857-2.p',unknown),
[] ).
cnf(20,axiom,
c_in(v_x,v_Y,tc_set(tc_set(t_a))),
file('SET857-2.p',unknown),
[] ).
cnf(39,plain,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(hyper,[status(thm)],[18,1,20]),
[iquote('hyper,18,1,20')] ).
cnf(51,plain,
c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_x,tc_set(t_a)),
inference(hyper,[status(thm)],[16,7]),
[iquote('hyper,16,7')] ).
cnf(58,plain,
( c_lesse_quals(v_x,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_x,tc_set(tc_set(t_a))) ),
inference(hyper,[status(thm)],[39,11]),
[iquote('hyper,39,11')] ).
cnf(63,plain,
( c_lesse_quals(v_n,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_n,tc_set(tc_set(t_a))) ),
inference(hyper,[status(thm)],[39,4,19]),
[iquote('hyper,39,4,19')] ).
cnf(65,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_n,v_x,tc_set(tc_set(t_a)))
| c_lesse_quals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a))) ),
inference(hyper,[status(thm)],[39,3,19]),
[iquote('hyper,39,3,19')] ).
cnf(75,plain,
c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),c_Zorn_Osucc(A,v_x,t_a),tc_set(t_a)),
inference(hyper,[status(thm)],[51,1,17]),
[iquote('hyper,51,1,17')] ).
cnf(76,plain,
( c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,A,tc_set(t_a)),v_x,tc_set(t_a)) ),
inference(hyper,[status(thm)],[51,1,16]),
[iquote('hyper,51,1,16')] ).
cnf(508,plain,
( c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,A,tc_set(t_a)),B,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,B,tc_set(t_a)),v_x,tc_set(t_a)) ),
inference(hyper,[status(thm)],[76,1,16]),
[iquote('hyper,76,1,16')] ).
cnf(1496,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_x,t_a),v_n,tc_set(tc_set(t_a)))
| v_x = v_n ),
inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[63,9,19,20]),8])]),
[iquote('hyper,63,9,19,20,unit_del,8,flip.3')] ).
cnf(1504,plain,
( c_lesse_quals(v_x,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_n,tc_set(tc_set(t_a))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[1496,58])])]),
[iquote('para_from,1496.3.1,58.3.2,factor_simp,factor_simp')] ).
cnf(1589,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_x,t_a),v_n,tc_set(tc_set(t_a))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1504,1496]),7])])]),
[iquote('para_into,1504.1.2,1496.3.1,unit_del,7,factor_simp,factor_simp')] ).
cnf(1613,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_n,v_x,tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_n,tc_set(t_a)) ),
inference(hyper,[status(thm)],[65,1,75]),
[iquote('hyper,65,1,75')] ).
cnf(1627,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_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_n,tc_set(t_a))
| v_x = v_n ),
inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1613,9,19,20]),8])]),
[iquote('hyper,1613,9,19,20,unit_del,8,flip.3')] ).
cnf(1630,plain,
( c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_n,tc_set(t_a))
| 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(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[1627,76])])]),
[iquote('para_from,1627.3.1,76.2.2,factor_simp,factor_simp')] ).
cnf(1631,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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1630,2]),7]),
[iquote('hyper,1630,2,unit_del,7')] ).
cnf(1635,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
| c_lesse_quals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a))) ),
inference(hyper,[status(thm)],[1631,9,1589,20]),
[iquote('hyper,1631,9,1589,20')] ).
cnf(1696,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(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a)))
| c_lesse_quals(v_n,v_x,tc_set(tc_set(t_a))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1635,5,39,19])]),
[iquote('hyper,1635,5,39,19,factor_simp')] ).
cnf(1703,plain,
( c_lesse_quals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a)))
| c_lesse_quals(v_n,v_x,tc_set(tc_set(t_a))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1696,6,39,19])])]),
[iquote('hyper,1696,6,39,19,factor_simp,factor_simp')] ).
cnf(1718,plain,
( c_lesse_quals(v_n,v_x,tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_n,tc_set(t_a)) ),
inference(hyper,[status(thm)],[1703,1,75]),
[iquote('hyper,1703,1,75')] ).
cnf(1795,plain,
( c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_n,tc_set(t_a))
| v_x = v_n ),
inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1718,9,19,20]),8])]),
[iquote('hyper,1718,9,19,20,unit_del,8,flip.2')] ).
cnf(1803,plain,
c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_n,tc_set(t_a)),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[1795,508])])])]),
[iquote('para_from,1795.2.1,508.3.2,factor_simp,factor_simp,factor_simp')] ).
cnf(1804,plain,
c_lesse_quals(v_x,v_n,tc_set(tc_set(t_a))),
inference(hyper,[status(thm)],[1803,2]),
[iquote('hyper,1803,2')] ).
cnf(1805,plain,
$false,
inference(binary,[status(thm)],[1804,7]),
[iquote('binary,1804.1,7.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET857-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jul 27 11:06:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.74/1.92 ----- Otter 3.3f, August 2004 -----
% 1.74/1.92 The process was started by sandbox on n016.cluster.edu,
% 1.74/1.92 Wed Jul 27 11:06:22 2022
% 1.74/1.92 The command was "./otter". The process ID is 21760.
% 1.74/1.92
% 1.74/1.92 set(prolog_style_variables).
% 1.74/1.92 set(auto).
% 1.74/1.92 dependent: set(auto1).
% 1.74/1.92 dependent: set(process_input).
% 1.74/1.92 dependent: clear(print_kept).
% 1.74/1.92 dependent: clear(print_new_demod).
% 1.74/1.92 dependent: clear(print_back_demod).
% 1.74/1.92 dependent: clear(print_back_sub).
% 1.74/1.92 dependent: set(control_memory).
% 1.74/1.92 dependent: assign(max_mem, 12000).
% 1.74/1.92 dependent: assign(pick_given_ratio, 4).
% 1.74/1.92 dependent: assign(stats_level, 1).
% 1.74/1.92 dependent: assign(max_seconds, 10800).
% 1.74/1.92 clear(print_given).
% 1.74/1.92
% 1.74/1.92 list(usable).
% 1.74/1.92 0 [] A=A.
% 1.74/1.92 0 [] -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_set(T_a))|c_in(V_c,V_B,T_a).
% 1.74/1.92 0 [] c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)|c_lesse_quals(V_A,V_B,tc_set(T_a)).
% 1.74/1.92 0 [] -c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)|c_lesse_quals(V_A,V_B,tc_set(T_a)).
% 1.74/1.92 0 [] c_lesse_quals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))).
% 1.74/1.92 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))).
% 1.74/1.92 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))).
% 1.74/1.92 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))).
% 1.74/1.92 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))).
% 1.74/1.92 0 [] c_lesse_quals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))).
% 1.74/1.92 0 [] c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))).
% 1.74/1.92 0 [] c_in(v_x,v_Y,tc_set(tc_set(t_a))).
% 1.74/1.92 0 [] -c_lesse_quals(v_x,v_n,tc_set(tc_set(t_a))).
% 1.74/1.92 0 [] -c_lesse_quals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))).
% 1.74/1.92 0 [] c_lesse_quals(c_Zorn_Osucc(v_S,V_V,t_a),V_U,tc_set(tc_set(t_a)))|V_V=V_U| -c_lesse_quals(V_V,V_U,tc_set(tc_set(t_a)))| -c_in(V_V,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))| -c_in(V_U,v_Y,tc_set(tc_set(t_a))).
% 1.74/1.92 end_of_list.
% 1.74/1.92
% 1.74/1.92 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.74/1.92
% 1.74/1.92 This ia a non-Horn set with equality. The strategy will be
% 1.74/1.92 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.74/1.92 deletion, with positive clauses in sos and nonpositive
% 1.74/1.92 clauses in usable.
% 1.74/1.92
% 1.74/1.92 dependent: set(knuth_bendix).
% 1.74/1.92 dependent: set(anl_eq).
% 1.74/1.92 dependent: set(para_from).
% 1.74/1.92 dependent: set(para_into).
% 1.74/1.92 dependent: clear(para_from_right).
% 1.74/1.92 dependent: clear(para_into_right).
% 1.74/1.92 dependent: set(para_from_vars).
% 1.74/1.92 dependent: set(eq_units_both_ways).
% 1.74/1.92 dependent: set(dynamic_demod_all).
% 1.74/1.92 dependent: set(dynamic_demod).
% 1.74/1.92 dependent: set(order_eq).
% 1.74/1.92 dependent: set(back_demod).
% 1.74/1.92 dependent: set(lrpo).
% 1.74/1.92 dependent: set(hyper_res).
% 1.74/1.92 dependent: set(unit_deletion).
% 1.74/1.92 dependent: set(factor).
% 1.74/1.92
% 1.74/1.92 ------------> process usable:
% 1.74/1.92 ** KEPT (pick-wt=13): 1 [] -c_in(A,B,C)| -c_lesse_quals(B,D,tc_set(C))|c_in(A,D,C).
% 1.74/1.92 ** KEPT (pick-wt=12): 2 [] -c_in(c_Main_OsubsetI__1(A,B,C),B,C)|c_lesse_quals(A,B,tc_set(C)).
% 1.74/1.92 ** KEPT (pick-wt=42): 3 [] -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))).
% 1.74/1.92 ** KEPT (pick-wt=40): 4 [] -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))).
% 2.43/2.65 ** KEPT (pick-wt=37): 5 [] -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))).
% 2.43/2.65 ** KEPT (pick-wt=43): 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_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))).
% 2.43/2.65 ** KEPT (pick-wt=6): 7 [] -c_lesse_quals(v_x,v_n,tc_set(tc_set(t_a))).
% 2.43/2.65 ** KEPT (pick-wt=9): 8 [] -c_lesse_quals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))).
% 2.43/2.65 ** KEPT (pick-wt=32): 9 [] c_lesse_quals(c_Zorn_Osucc(v_S,A,t_a),B,tc_set(tc_set(t_a)))|A=B| -c_lesse_quals(A,B,tc_set(tc_set(t_a)))| -c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))| -c_in(B,v_Y,tc_set(tc_set(t_a))).
% 2.43/2.65
% 2.43/2.65 ------------> process sos:
% 2.43/2.65 ** KEPT (pick-wt=3): 15 [] A=A.
% 2.43/2.65 ** KEPT (pick-wt=12): 16 [] c_in(c_Main_OsubsetI__1(A,B,C),A,C)|c_lesse_quals(A,B,tc_set(C)).
% 2.43/2.65 ** KEPT (pick-wt=9): 17 [] c_lesse_quals(A,c_Zorn_Osucc(B,A,C),tc_set(tc_set(C))).
% 2.43/2.65 ** KEPT (pick-wt=9): 18 [] c_lesse_quals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))).
% 2.43/2.65 ** KEPT (pick-wt=8): 19 [] c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))).
% 2.43/2.65 ** KEPT (pick-wt=6): 20 [] c_in(v_x,v_Y,tc_set(tc_set(t_a))).
% 2.43/2.65 Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] A=A.
% 2.43/2.65
% 2.43/2.65 ======= end of input processing =======
% 2.43/2.65
% 2.43/2.65 =========== start of search ===========
% 2.43/2.65
% 2.43/2.65
% 2.43/2.65 Resetting weight limit to 32.
% 2.43/2.65
% 2.43/2.65
% 2.43/2.65 Resetting weight limit to 32.
% 2.43/2.65
% 2.43/2.65 sos_size=1263
% 2.43/2.65
% 2.43/2.65
% 2.43/2.65 Resetting weight limit to 30.
% 2.43/2.65
% 2.43/2.65
% 2.43/2.65 Resetting weight limit to 30.
% 2.43/2.65
% 2.43/2.65 sos_size=1291
% 2.43/2.65
% 2.43/2.65
% 2.43/2.65 Resetting weight limit to 29.
% 2.43/2.65
% 2.43/2.65
% 2.43/2.65 Resetting weight limit to 29.
% 2.43/2.65
% 2.43/2.65 sos_size=1289
% 2.43/2.65
% 2.43/2.65 -------- PROOF --------
% 2.43/2.65
% 2.43/2.65 ----> UNIT CONFLICT at 0.72 sec ----> 1805 [binary,1804.1,7.1] $F.
% 2.43/2.65
% 2.43/2.65 Length of proof is 23. Level of proof is 13.
% 2.43/2.65
% 2.43/2.65 ---------------- PROOF ----------------
% 2.43/2.65 % SZS status Unsatisfiable
% 2.43/2.65 % SZS output start Refutation
% See solution above
% 2.43/2.65 ------------ end of proof -------------
% 2.43/2.65
% 2.43/2.65
% 2.43/2.65 Search stopped by max_proofs option.
% 2.43/2.65
% 2.43/2.65
% 2.43/2.65 Search stopped by max_proofs option.
% 2.43/2.65
% 2.43/2.65 ============ end of search ============
% 2.43/2.65
% 2.43/2.65 -------------- statistics -------------
% 2.43/2.65 clauses given 264
% 2.43/2.65 clauses generated 16083
% 2.43/2.65 clauses kept 1804
% 2.43/2.65 clauses forward subsumed 1160
% 2.43/2.65 clauses back subsumed 299
% 2.43/2.65 Kbytes malloced 4882
% 2.43/2.65
% 2.43/2.65 ----------- times (seconds) -----------
% 2.43/2.65 user CPU time 0.72 (0 hr, 0 min, 0 sec)
% 2.43/2.65 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.43/2.65 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.43/2.65
% 2.43/2.65 That finishes the proof of the theorem.
% 2.43/2.65
% 2.43/2.65 Process 21760 finished Wed Jul 27 11:06:24 2022
% 2.43/2.65 Otter interrupted
% 2.43/2.65 PROOF FOUND
%------------------------------------------------------------------------------