TSTP Solution File: LCL442-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL442-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:04:27 EDT 2022
% Result : Unsatisfiable 1.73s 1.92s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 25 ( 8 unt; 7 nHn; 14 RR)
% Number of literals : 44 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 30 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('LCL442-2.p',unknown),
[] ).
cnf(2,axiom,
( c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
file('LCL442-2.p',unknown),
[] ).
cnf(3,axiom,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
file('LCL442-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
file('LCL442-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('LCL442-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Ofalse,B),c_PropLog_Othms(C,B),tc_PropLog_Opl(B))
| c_in(c_PropLog_Opl_Oop_A_N_62(A,D,B),c_PropLog_Othms(C,B),tc_PropLog_Opl(B)) ),
file('LCL442-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(D,c_PropLog_Opl_Ofalse,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,D,C),c_PropLog_Opl_Ofalse,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C)) ),
file('LCL442-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))
| c_in(A,c_PropLog_Othms(c_union(B,D,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)) ),
file('LCL442-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))
| c_in(A,c_PropLog_Othms(c_union(D,B,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)) ),
file('LCL442-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))
| c_in(c_PropLog_Opl_Oop_A_N_62(D,A,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C)) ),
file('LCL442-2.p',unknown),
[] ).
cnf(12,axiom,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('LCL442-2.p',unknown),
[] ).
cnf(13,axiom,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
file('LCL442-2.p',unknown),
[] ).
cnf(18,plain,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,A,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
inference(hyper,[status(thm)],[12,6]),
[iquote('hyper,12,6')] ).
cnf(23,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,A,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
inference(hyper,[status(thm)],[13,6]),
[iquote('hyper,13,6')] ).
cnf(26,plain,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,A,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),B,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(hyper,[status(thm)],[18,8]),
[iquote('hyper,18,8')] ).
cnf(29,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,A,t_a),c_PropLog_Othms(c_union(B,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(hyper,[status(thm)],[23,9]),
[iquote('hyper,23,9')] ).
cnf(48,plain,
c_PropLog_Oeval(v_tt,v_pl1,t_a),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[26,3])]),
[iquote('hyper,26,3,factor_simp')] ).
cnf(49,plain,
c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(hyper,[status(thm)],[48,1]),
[iquote('hyper,48,1')] ).
cnf(52,plain,
c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),A,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(hyper,[status(thm)],[49,8]),
[iquote('hyper,49,8')] ).
cnf(64,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
inference(hyper,[status(thm)],[52,7,29]),
[iquote('hyper,52,7,29')] ).
cnf(297,plain,
c_PropLog_Oeval(v_tt,v_pl2,t_a),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[64,5,48])]),
[iquote('hyper,64,5,48,factor_simp')] ).
cnf(298,plain,
c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(hyper,[status(thm)],[297,2]),
[iquote('hyper,297,2')] ).
cnf(299,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(A,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(hyper,[status(thm)],[298,10]),
[iquote('hyper,298,10')] ).
cnf(303,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(A,v_pl2,t_a),c_PropLog_Othms(c_union(B,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(hyper,[status(thm)],[299,9]),
[iquote('hyper,299,9')] ).
cnf(316,plain,
$false,
inference(hyper,[status(thm)],[303,4,297]),
[iquote('hyper,303,4,297')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL442-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n019.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 09:22:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.73/1.90 ----- Otter 3.3f, August 2004 -----
% 1.73/1.90 The process was started by sandbox on n019.cluster.edu,
% 1.73/1.90 Wed Jul 27 09:22:52 2022
% 1.73/1.90 The command was "./otter". The process ID is 7441.
% 1.73/1.90
% 1.73/1.90 set(prolog_style_variables).
% 1.73/1.90 set(auto).
% 1.73/1.90 dependent: set(auto1).
% 1.73/1.90 dependent: set(process_input).
% 1.73/1.90 dependent: clear(print_kept).
% 1.73/1.90 dependent: clear(print_new_demod).
% 1.73/1.90 dependent: clear(print_back_demod).
% 1.73/1.90 dependent: clear(print_back_sub).
% 1.73/1.90 dependent: set(control_memory).
% 1.73/1.90 dependent: assign(max_mem, 12000).
% 1.73/1.90 dependent: assign(pick_given_ratio, 4).
% 1.73/1.90 dependent: assign(stats_level, 1).
% 1.73/1.90 dependent: assign(max_seconds, 10800).
% 1.73/1.90 clear(print_given).
% 1.73/1.90
% 1.73/1.90 list(usable).
% 1.73/1.90 0 [] c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))| -c_PropLog_Oeval(v_tt,v_pl1,t_a).
% 1.73/1.90 0 [] c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|c_PropLog_Oeval(v_tt,v_pl1,t_a).
% 1.73/1.90 0 [] c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))| -c_PropLog_Oeval(v_tt,v_pl2,t_a).
% 1.73/1.90 0 [] c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|c_PropLog_Oeval(v_tt,v_pl2,t_a).
% 1.73/1.90 0 [] c_PropLog_Oeval(v_tt,v_pl1,t_a)| -c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)).
% 1.73/1.90 0 [] -c_PropLog_Oeval(v_tt,v_pl2,t_a)| -c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)).
% 1.73/1.90 0 [] -c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|c_PropLog_Oeval(v_tt,v_pl2,t_a)| -c_PropLog_Oeval(v_tt,v_pl1,t_a).
% 1.73/1.90 0 [] -c_in(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))|c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)).
% 1.73/1.90 0 [] -c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))| -c_in(c_PropLog_Opl_Oop_A_N_62(V_q,c_PropLog_Opl_Ofalse,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))|c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Opl_Ofalse,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)).
% 1.73/1.90 0 [] -c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))|c_in(V_p,c_PropLog_Othms(c_union(V_G,V_B,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a)).
% 1.73/1.90 0 [] -c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))|c_in(V_p,c_PropLog_Othms(c_union(V_A,V_G,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a)).
% 1.73/1.90 0 [] -c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))|c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)).
% 1.73/1.90 end_of_list.
% 1.73/1.90
% 1.73/1.90 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.73/1.90
% 1.73/1.90 This is a non-Horn set without equality. The strategy will
% 1.73/1.90 be ordered hyper_res, unit deletion, and factoring, with
% 1.73/1.90 satellites in sos and with nuclei in usable.
% 1.73/1.90
% 1.73/1.90 dependent: set(hyper_res).
% 1.73/1.90 dependent: set(factor).
% 1.73/1.90 dependent: set(unit_deletion).
% 1.73/1.90
% 1.73/1.90 ------------> process usable:
% 1.73/1.90 ** KEPT (pick-wt=14): 1 [] c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))| -c_PropLog_Oeval(v_tt,v_pl1,t_a).
% 1.73/1.90 ** KEPT (pick-wt=14): 2 [] c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))| -c_PropLog_Oeval(v_tt,v_pl2,t_a).
% 1.73/1.90 ** KEPT (pick-wt=24): 3 [] c_PropLog_Oeval(v_tt,v_pl1,t_a)| -c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)).
% 1.73/1.90 ** KEPT (pick-wt=24): 4 [] -c_PropLog_Oeval(v_tt,v_pl2,t_a)| -c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)).
% 1.73/1.92 ** KEPT (pick-wt=31): 5 [] -c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|c_PropLog_Oeval(v_tt,v_pl2,t_a)| -c_PropLog_Oeval(v_tt,v_pl1,t_a).
% 1.73/1.92 ** KEPT (pick-wt=20): 6 [] -c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Ofalse,B),c_PropLog_Othms(C,B),tc_PropLog_Opl(B))|c_in(c_PropLog_Opl_Oop_A_N_62(A,D,B),c_PropLog_Othms(C,B),tc_PropLog_Opl(B)).
% 1.73/1.92 ** KEPT (pick-wt=30): 7 [] -c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))| -c_in(c_PropLog_Opl_Oop_A_N_62(D,c_PropLog_Opl_Ofalse,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C))|c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,D,C),c_PropLog_Opl_Ofalse,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C)).
% 1.73/1.92 ** KEPT (pick-wt=18): 8 [] -c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))|c_in(A,c_PropLog_Othms(c_union(B,D,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).
% 1.73/1.92 ** KEPT (pick-wt=18): 9 [] -c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))|c_in(A,c_PropLog_Othms(c_union(D,B,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).
% 1.73/1.92 ** KEPT (pick-wt=17): 10 [] -c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))|c_in(c_PropLog_Opl_Oop_A_N_62(D,A,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C)).
% 1.73/1.92
% 1.73/1.92 ------------> process sos:
% 1.73/1.92 ** KEPT (pick-wt=17): 12 [] c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|c_PropLog_Oeval(v_tt,v_pl1,t_a).
% 1.73/1.92 ** KEPT (pick-wt=17): 13 [] c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|c_PropLog_Oeval(v_tt,v_pl2,t_a).
% 1.73/1.92
% 1.73/1.92 ======= end of input processing =======
% 1.73/1.92
% 1.73/1.92 =========== start of search ===========
% 1.73/1.92
% 1.73/1.92 -------- PROOF --------
% 1.73/1.92
% 1.73/1.92 -----> EMPTY CLAUSE at 0.02 sec ----> 316 [hyper,303,4,297] $F.
% 1.73/1.92
% 1.73/1.92 Length of proof is 12. Level of proof is 10.
% 1.73/1.92
% 1.73/1.92 ---------------- PROOF ----------------
% 1.73/1.92 % SZS status Unsatisfiable
% 1.73/1.92 % SZS output start Refutation
% See solution above
% 1.73/1.92 ------------ end of proof -------------
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Search stopped by max_proofs option.
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Search stopped by max_proofs option.
% 1.73/1.92
% 1.73/1.92 ============ end of search ============
% 1.73/1.92
% 1.73/1.92 -------------- statistics -------------
% 1.73/1.92 clauses given 64
% 1.73/1.92 clauses generated 417
% 1.73/1.92 clauses kept 315
% 1.73/1.92 clauses forward subsumed 113
% 1.73/1.92 clauses back subsumed 214
% 1.73/1.92 Kbytes malloced 1953
% 1.73/1.92
% 1.73/1.92 ----------- times (seconds) -----------
% 1.73/1.92 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.73/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.92 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.92
% 1.73/1.92 That finishes the proof of the theorem.
% 1.73/1.92
% 1.73/1.92 Process 7441 finished Wed Jul 27 09:22:53 2022
% 1.73/1.92 Otter interrupted
% 1.73/1.92 PROOF FOUND
%------------------------------------------------------------------------------