TSTP Solution File: LAT276-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:02:17 EDT 2022
% Result : Unsatisfiable 1.99s 2.18s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 12 unt; 9 nHn; 30 RR)
% Number of literals : 58 ( 4 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( c_in(c_Pair(A,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(A,v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('LAT276-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('LAT276-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('LAT276-2.p',unknown),
[] ).
cnf(4,axiom,
( c_in(c_Pair(A,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(A,v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
file('LAT276-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,B,C)
| ~ c_lesse_quals(B,D,tc_set(C))
| c_in(A,D,C) ),
file('LAT276-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,v_A,t_a)
| ~ c_lesse_quals(B,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(A,B,v_r),B,t_a) ),
file('LAT276-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mP(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lesse_quals(B,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('LAT276-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(A,B,t_a)
| ~ c_lesse_quals(B,v_A,tc_set(t_a))
| c_in(c_Pair(A,c_Tarski_Olub(B,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('LAT276-2.p',unknown),
[] ).
cnf(10,axiom,
c_lesse_quals(v_S,v_A,tc_set(t_a)),
file('LAT276-2.p',unknown),
[] ).
cnf(11,axiom,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
file('LAT276-2.p',unknown),
[] ).
cnf(12,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('LAT276-2.p',unknown),
[] ).
cnf(14,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[12])]),
[iquote('copy,12,flip.1')] ).
cnf(15,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('LAT276-2.p',unknown),
[] ).
cnf(17,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[15])]),
[iquote('copy,15,flip.1')] ).
cnf(18,plain,
( c_in(v_xa,v_A,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[11]),14]),
[iquote('back_demod,11,demod,14')] ).
cnf(19,plain,
( c_in(c_Pair(A,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(A,v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[4]),17]),
[iquote('back_demod,4,demod,17')] ).
cnf(20,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3]),17,17]),
[iquote('back_demod,3,demod,17,17')] ).
cnf(21,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2]),17]),
[iquote('back_demod,2,demod,17')] ).
cnf(22,plain,
( c_in(c_Pair(A,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(A,v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1]),17,17]),
[iquote('back_demod,1,demod,17,17')] ).
cnf(25,plain,
c_in(v_xa,v_A,t_a),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[18,5,10])]),
[iquote('hyper,18,5,10,factor_simp')] ).
cnf(26,plain,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
inference(hyper,[status(thm)],[25,6,10]),
[iquote('hyper,25,6,10')] ).
cnf(27,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(hyper,[status(thm)],[26,21]),
[iquote('hyper,26,21')] ).
cnf(31,plain,
( c_in(v_xa,v_S,t_a)
| c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[27,19])]),
[iquote('hyper,27,19,factor_simp')] ).
cnf(38,plain,
( c_in(v_xa,v_S,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(hyper,[status(thm)],[31,7,25,10]),
[iquote('hyper,31,7,25,10')] ).
cnf(40,plain,
c_in(v_xa,v_S,t_a),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[38,21])]),
[iquote('hyper,38,21,factor_simp')] ).
cnf(41,plain,
c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(hyper,[status(thm)],[40,8,10]),
[iquote('hyper,40,8,10')] ).
cnf(44,plain,
c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a),
inference(hyper,[status(thm)],[41,20,26]),
[iquote('hyper,41,20,26')] ).
cnf(45,plain,
c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(hyper,[status(thm)],[44,22,41]),
[iquote('hyper,44,22,41')] ).
cnf(49,plain,
c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(hyper,[status(thm)],[45,7,25,10]),
[iquote('hyper,45,7,25,10')] ).
cnf(50,plain,
$false,
inference(hyper,[status(thm)],[49,20,41]),
[iquote('hyper,49,20,41')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 08:18:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.99/2.18 ----- Otter 3.3f, August 2004 -----
% 1.99/2.18 The process was started by sandbox2 on n013.cluster.edu,
% 1.99/2.18 Wed Jul 27 08:18:15 2022
% 1.99/2.18 The command was "./otter". The process ID is 11648.
% 1.99/2.18
% 1.99/2.18 set(prolog_style_variables).
% 1.99/2.18 set(auto).
% 1.99/2.18 dependent: set(auto1).
% 1.99/2.18 dependent: set(process_input).
% 1.99/2.18 dependent: clear(print_kept).
% 1.99/2.18 dependent: clear(print_new_demod).
% 1.99/2.18 dependent: clear(print_back_demod).
% 1.99/2.18 dependent: clear(print_back_sub).
% 1.99/2.18 dependent: set(control_memory).
% 1.99/2.18 dependent: assign(max_mem, 12000).
% 1.99/2.18 dependent: assign(pick_given_ratio, 4).
% 1.99/2.18 dependent: assign(stats_level, 1).
% 1.99/2.18 dependent: assign(max_seconds, 10800).
% 1.99/2.18 clear(print_given).
% 1.99/2.18
% 1.99/2.18 list(usable).
% 1.99/2.18 0 [] A=A.
% 1.99/2.18 0 [] c_lesse_quals(v_S,v_A,tc_set(t_a)).
% 1.99/2.18 0 [] c_in(c_Pair(V_V,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| -c_in(V_V,v_S,t_a)| -c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)).
% 1.99/2.18 0 [] c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)|c_in(v_xa,v_S,t_a).
% 1.99/2.18 0 [] -c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|c_in(v_xa,v_S,t_a).
% 1.99/2.18 0 [] -c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| -c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)).
% 1.99/2.18 0 [] c_in(c_Pair(V_U,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| -c_in(V_U,v_S,t_a)|c_in(v_xa,v_S,t_a).
% 1.99/2.18 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).
% 1.99/2.18 0 [] v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit).
% 1.99/2.18 0 [] -c_in(V_L,v_A,t_a)| -c_lesse_quals(V_S,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Olub(V_S,v_cl,t_a),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mP(V_L,V_S,v_r),V_S,t_a).
% 1.99/2.18 0 [] -c_in(V_L,v_A,t_a)| -c_in(c_Pair(v_sko__4mP(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_lesse_quals(V_S,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Olub(V_S,v_cl,t_a),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.99/2.18 0 [] -c_in(V_x,V_S,t_a)| -c_lesse_quals(V_S,v_A,tc_set(t_a))|c_in(c_Pair(V_x,c_Tarski_Olub(V_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.99/2.18 0 [] v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit).
% 1.99/2.18 end_of_list.
% 1.99/2.18
% 1.99/2.18 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.99/2.18
% 1.99/2.18 This ia a non-Horn set with equality. The strategy will be
% 1.99/2.18 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.99/2.18 deletion, with positive clauses in sos and nonpositive
% 1.99/2.18 clauses in usable.
% 1.99/2.18
% 1.99/2.18 dependent: set(knuth_bendix).
% 1.99/2.18 dependent: set(anl_eq).
% 1.99/2.18 dependent: set(para_from).
% 1.99/2.18 dependent: set(para_into).
% 1.99/2.18 dependent: clear(para_from_right).
% 1.99/2.18 dependent: clear(para_into_right).
% 1.99/2.18 dependent: set(para_from_vars).
% 1.99/2.18 dependent: set(eq_units_both_ways).
% 1.99/2.18 dependent: set(dynamic_demod_all).
% 1.99/2.18 dependent: set(dynamic_demod).
% 1.99/2.18 dependent: set(order_eq).
% 1.99/2.18 dependent: set(back_demod).
% 1.99/2.18 dependent: set(lrpo).
% 1.99/2.18 dependent: set(hyper_res).
% 1.99/2.18 dependent: set(unit_deletion).
% 1.99/2.18 dependent: set(factor).
% 1.99/2.18
% 1.99/2.18 ------------> process usable:
% 1.99/2.18 ** KEPT (pick-wt=33): 1 [] c_in(c_Pair(A,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| -c_in(A,v_S,t_a)| -c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)).
% 1.99/2.18 ** KEPT (pick-wt=20): 2 [] -c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|c_in(v_xa,v_S,t_a).
% 1.99/2.18 ** KEPT (pick-wt=32): 3 [] -c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| -c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)).
% 1.99/2.18 ** KEPT (pick-wt=21): 4 [] c_in(c_Pair(A,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| -c_in(A,v_S,t_a)|c_in(v_xa,v_S,t_a).
% 1.99/2.18 ** KEPT (pick-wt=13): 5 [] -c_in(A,B,C)| -c_lesse_quals(B,D,tc_set(C))|c_in(A,D,C).
% 1.99/2.18 ** KEPT (pick-wt=29): 6 [] -c_in(A,v_A,t_a)| -c_lesse_quals(B,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mP(A,B,v_r),B,t_a).
% 1.99/2.18 ** KEPT (pick-wt=35): 7 [] -c_in(A,v_A,t_a)| -c_in(c_Pair(v_sko__4mP(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_lesse_quals(B,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.99/2.18 ** KEPT (pick-wt=22): 8 [] -c_in(A,B,t_a)| -c_lesse_quals(B,v_A,tc_set(t_a))|c_in(c_Pair(A,c_Tarski_Olub(B,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.99/2.18
% 1.99/2.18 ------------> process sos:
% 1.99/2.18 ** KEPT (pick-wt=3): 9 [] A=A.
% 1.99/2.18 ** KEPT (pick-wt=5): 10 [] c_lesse_quals(v_S,v_A,tc_set(t_a)).
% 1.99/2.18 ** KEPT (pick-wt=11): 11 [] c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)|c_in(v_xa,v_S,t_a).
% 1.99/2.18 ** KEPT (pick-wt=6): 13 [copy,12,flip.1] c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)=v_A.
% 1.99/2.18 ---> New Demodulator: 14 [new_demod,13] c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)=v_A.
% 1.99/2.18 ** KEPT (pick-wt=6): 16 [copy,15,flip.1] c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r.
% 1.99/2.18 ---> New Demodulator: 17 [new_demod,16] c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r.
% 1.99/2.18 Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] A=A.
% 1.99/2.18 >>>> Starting back demodulation with 14.
% 1.99/2.18 >> back demodulating 11 with 14.
% 1.99/2.18 >>>> Starting back demodulation with 17.
% 1.99/2.18 >> back demodulating 4 with 17.
% 1.99/2.18 >> back demodulating 3 with 17.
% 1.99/2.18 >> back demodulating 2 with 17.
% 1.99/2.18 >> back demodulating 1 with 17.
% 1.99/2.18
% 1.99/2.18 ======= end of input processing =======
% 1.99/2.18
% 1.99/2.18 =========== start of search ===========
% 1.99/2.18
% 1.99/2.18 -------- PROOF --------
% 1.99/2.18
% 1.99/2.18 -----> EMPTY CLAUSE at 0.00 sec ----> 50 [hyper,49,20,41] $F.
% 1.99/2.18
% 1.99/2.18 Length of proof is 17. Level of proof is 12.
% 1.99/2.18
% 1.99/2.18 ---------------- PROOF ----------------
% 1.99/2.18 % SZS status Unsatisfiable
% 1.99/2.18 % SZS output start Refutation
% See solution above
% 1.99/2.18 ------------ end of proof -------------
% 1.99/2.18
% 1.99/2.18
% 1.99/2.18 Search stopped by max_proofs option.
% 1.99/2.18
% 1.99/2.18
% 1.99/2.18 Search stopped by max_proofs option.
% 1.99/2.18
% 1.99/2.18 ============ end of search ============
% 1.99/2.18
% 1.99/2.18 -------------- statistics -------------
% 1.99/2.18 clauses given 22
% 1.99/2.18 clauses generated 41
% 1.99/2.18 clauses kept 45
% 1.99/2.18 clauses forward subsumed 14
% 1.99/2.18 clauses back subsumed 20
% 1.99/2.18 Kbytes malloced 976
% 1.99/2.18
% 1.99/2.18 ----------- times (seconds) -----------
% 1.99/2.18 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.99/2.18 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.99/2.18 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.99/2.18
% 1.99/2.18 That finishes the proof of the theorem.
% 1.99/2.18
% 1.99/2.18 Process 11648 finished Wed Jul 27 08:18:17 2022
% 1.99/2.18 Otter interrupted
% 1.99/2.18 PROOF FOUND
%------------------------------------------------------------------------------