TSTP Solution File: ANA028-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ANA028-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 12:46:45 EDT 2022
% Result : Unsatisfiable 1.98s 2.18s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of clauses : 55 ( 38 unt; 0 nHn; 16 RR)
% Number of literals : 80 ( 30 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 108 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(A)
| c_plus(c_0,B,A) = B ),
file('ANA028-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ class_OrderedGroup_Oab__group__add(A)
| c_plus(B,c_minus(C,D,A),A) = c_minus(c_plus(B,C,A),D,A) ),
file('ANA028-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ class_OrderedGroup_Oab__group__add(A)
| c_plus(c_minus(B,C,A),D,A) = c_minus(c_plus(B,D,A),C,A) ),
file('ANA028-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ class_OrderedGroup_Oab__group__add(A)
| c_minus(B,c_minus(C,D,A),A) = c_minus(c_plus(B,D,A),C,A) ),
file('ANA028-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(A)
| ~ c_lesse_quals(B,c_plus(C,D,A),A)
| c_lesse_quals(c_minus(B,D,A),C,A) ),
file('ANA028-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(A)
| ~ c_lesse_quals(c_plus(B,C,A),D,A)
| c_lesse_quals(B,c_minus(D,C,A),A) ),
file('ANA028-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ class_OrderedGroup_Oab__group__add(A)
| c_minus(B,B,A) = c_0 ),
file('ANA028-2.p',unknown),
[] ).
cnf(8,axiom,
~ c_lesse_quals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('ANA028-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ class_Ring__and__Field_Oordered__idom(A)
| class_OrderedGroup_Ocomm__monoid__add(A) ),
file('ANA028-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ class_Ring__and__Field_Oordered__idom(A)
| class_OrderedGroup_Oab__group__add(A) ),
file('ANA028-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ class_Ring__and__Field_Oordered__idom(A)
| class_OrderedGroup_Opordered__ab__group__add(A) ),
file('ANA028-2.p',unknown),
[] ).
cnf(13,axiom,
c_lesse_quals(v_g(A),v_k(A),t_b),
file('ANA028-2.p',unknown),
[] ).
cnf(14,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('ANA028-2.p',unknown),
[] ).
cnf(15,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(hyper,[status(thm)],[14,11]),
[iquote('hyper,14,11')] ).
cnf(16,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(hyper,[status(thm)],[14,10]),
[iquote('hyper,14,10')] ).
cnf(17,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(hyper,[status(thm)],[14,9]),
[iquote('hyper,14,9')] ).
cnf(18,plain,
c_minus(A,A,t_b) = c_0,
inference(hyper,[status(thm)],[16,7]),
[iquote('hyper,16,7')] ).
cnf(20,plain,
c_minus(A,c_minus(B,C,t_b),t_b) = c_minus(c_plus(A,C,t_b),B,t_b),
inference(hyper,[status(thm)],[16,4]),
[iquote('hyper,16,4')] ).
cnf(23,plain,
c_plus(A,c_minus(B,C,t_b),t_b) = c_minus(c_plus(A,B,t_b),C,t_b),
inference(hyper,[status(thm)],[16,2]),
[iquote('hyper,16,2')] ).
cnf(25,plain,
c_minus(c_plus(A,B,t_b),C,t_b) = c_minus(A,c_minus(C,B,t_b),t_b),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[20])]),
[iquote('copy,20,flip.1')] ).
cnf(27,plain,
c_plus(c_0,A,t_b) = A,
inference(hyper,[status(thm)],[17,1]),
[iquote('hyper,17,1')] ).
cnf(31,plain,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_plus(A,B,t_b),A,t_b) = B ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[18,3]),27])]),
[iquote('para_from,18.1.1,3.2.1.1,demod,27,flip.2')] ).
cnf(34,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lesse_quals(A,B,t_b)
| c_lesse_quals(c_minus(A,B,t_b),c_0,t_b) ),
inference(para_from,[status(thm),theory(equality)],[27,5]),
[iquote('para_from,26.1.1,5.2.2')] ).
cnf(35,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lesse_quals(A,B,t_b)
| c_lesse_quals(c_0,c_minus(B,A,t_b),t_b) ),
inference(para_from,[status(thm),theory(equality)],[27,6]),
[iquote('para_from,26.1.1,6.2.1')] ).
cnf(36,plain,
c_minus(c_plus(A,B,t_b),A,t_b) = B,
inference(hyper,[status(thm)],[31,16]),
[iquote('hyper,31,16')] ).
cnf(39,plain,
c_minus(A,c_0,t_b) = A,
inference(para_into,[status(thm),theory(equality)],[36,27]),
[iquote('para_into,36.1.1.1,26.1.1')] ).
cnf(45,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lesse_quals(c_plus(A,B,t_b),c_plus(C,A,t_b),t_b)
| c_lesse_quals(B,C,t_b) ),
inference(para_from,[status(thm),theory(equality)],[36,5]),
[iquote('para_from,36.1.1,5.3.1')] ).
cnf(91,plain,
c_lesse_quals(c_minus(v_g(A),v_k(A),t_b),c_0,t_b),
inference(hyper,[status(thm)],[34,15,13]),
[iquote('hyper,34,15,13')] ).
cnf(109,plain,
c_lesse_quals(c_0,c_minus(c_0,c_minus(v_g(A),v_k(A),t_b),t_b),t_b),
inference(hyper,[status(thm)],[35,15,91]),
[iquote('hyper,35,15,91')] ).
cnf(115,plain,
c_minus(A,B,t_b) = c_minus(c_0,c_minus(B,A,t_b),t_b),
inference(para_into,[status(thm),theory(equality)],[25,27]),
[iquote('para_into,25.1.1.1,26.1.1')] ).
cnf(119,plain,
c_plus(A,B,t_b) = c_minus(A,c_minus(c_0,B,t_b),t_b),
inference(para_into,[status(thm),theory(equality)],[25,39]),
[iquote('para_into,25.1.1,38.1.1')] ).
cnf(121,plain,
c_minus(A,c_minus(A,B,t_b),t_b) = B,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[25,36])]),
[iquote('para_into,25.1.1,36.1.1,flip.1')] ).
cnf(125,plain,
c_minus(c_0,c_minus(A,B,t_b),t_b) = c_minus(B,A,t_b),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[115])]),
[iquote('copy,115,flip.1')] ).
cnf(168,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lesse_quals(c_minus(A,c_minus(c_0,B,t_b),t_b),c_minus(C,c_minus(c_0,A,t_b),t_b),t_b)
| c_lesse_quals(B,C,t_b) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[45]),119,119]),
[iquote('back_demod,45,demod,119,119')] ).
cnf(170,plain,
c_minus(c_minus(A,c_minus(c_0,B,t_b),t_b),A,t_b) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[36]),119]),
[iquote('back_demod,36,demod,119')] ).
cnf(176,plain,
c_minus(c_minus(A,c_minus(c_0,B,t_b),t_b),C,t_b) = c_minus(A,c_minus(c_0,c_minus(B,C,t_b),t_b),t_b),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[23]),119,119])]),
[iquote('back_demod,23,demod,119,119,flip.1')] ).
cnf(189,plain,
c_minus(A,c_minus(c_0,c_minus(B,A,t_b),t_b),t_b) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[170]),176]),
[iquote('back_demod,170,demod,176')] ).
cnf(227,plain,
c_minus(c_minus(A,B,t_b),A,t_b) = c_minus(c_0,B,t_b),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[125,121])]),
[iquote('para_into,125.1.1.2,120.1.1,flip.1')] ).
cnf(235,plain,
c_minus(c_minus(c_0,c_minus(A,B,t_b),t_b),c_minus(c_0,A,t_b),t_b) = B,
inference(para_into,[status(thm),theory(equality)],[189,189]),
[iquote('para_into,189.1.1.2.2,189.1.1')] ).
cnf(252,plain,
c_minus(c_minus(c_0,A,t_b),c_minus(B,A,t_b),t_b) = c_minus(c_0,B,t_b),
inference(para_into,[status(thm),theory(equality)],[227,227]),
[iquote('para_into,227.1.1.1,227.1.1')] ).
cnf(278,plain,
c_minus(c_minus(c_0,c_minus(c_minus(c_0,A,t_b),B,t_b),t_b),A,t_b) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[235,189]),39]),
[iquote('para_into,235.1.1.2,189.1.1,demod,39')] ).
cnf(306,plain,
c_minus(A,c_minus(B,c_minus(c_0,A,t_b),t_b),t_b) = c_minus(c_0,B,t_b),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[252,189]),39]),
[iquote('para_into,252.1.1.1,189.1.1,demod,39')] ).
cnf(310,plain,
c_minus(c_0,A,t_b) = c_minus(B,c_minus(A,c_minus(c_0,B,t_b),t_b),t_b),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[306])]),
[iquote('copy,306,flip.1')] ).
cnf(332,plain,
c_minus(c_minus(c_0,A,t_b),B,t_b) = c_minus(c_0,c_minus(A,c_minus(c_0,B,t_b),t_b),t_b),
inference(para_into,[status(thm),theory(equality)],[278,189]),
[iquote('para_into,278.1.1.1.2,189.1.1')] ).
cnf(356,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lesse_quals(c_0,c_minus(A,B,t_b),t_b)
| c_lesse_quals(B,A,t_b) ),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[168,18]),121]),
[iquote('para_into,168.2.1,18.1.1,demod,121')] ).
cnf(369,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lesse_quals(c_0,A,t_b)
| c_lesse_quals(c_minus(B,A,t_b),B,t_b) ),
inference(para_into,[status(thm),theory(equality)],[356,121]),
[iquote('para_into,356.2.2,120.1.1')] ).
cnf(373,plain,
c_lesse_quals(c_minus(A,c_minus(c_0,c_minus(v_g(B),v_k(B),t_b),t_b),t_b),A,t_b),
inference(hyper,[status(thm)],[369,15,109]),
[iquote('hyper,369,15,109')] ).
cnf(399,plain,
c_minus(A,c_minus(c_minus(B,C,t_b),c_minus(c_0,A,t_b),t_b),t_b) = c_minus(C,B,t_b),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[310,125])]),
[iquote('para_into,310.1.1,125.1.1,flip.1')] ).
cnf(428,plain,
c_minus(c_minus(A,B,t_b),C,t_b) = c_minus(A,c_minus(B,c_minus(c_0,C,t_b),t_b),t_b),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[176,189]),39,332,121]),
[iquote('para_into,175.1.1.1.2,189.1.1,demod,39,332,121')] ).
cnf(441,plain,
c_minus(A,c_minus(B,c_minus(C,A,t_b),t_b),t_b) = c_minus(C,B,t_b),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[399]),428,121]),
[iquote('back_demod,399,demod,428,121')] ).
cnf(479,plain,
c_lesse_quals(c_minus(v_g(A),c_minus(v_k(A),B,t_b),t_b),B,t_b),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[373,115]),428,428,121,121]),
[iquote('para_into,373.1.1,115.1.1,demod,428,428,121,121')] ).
cnf(482,plain,
c_lesse_quals(c_minus(v_g(A),B,t_b),c_minus(v_k(A),B,t_b),t_b),
inference(para_into,[status(thm),theory(equality)],[479,121]),
[iquote('para_into,479.1.1.2,120.1.1')] ).
cnf(487,plain,
c_lesse_quals(A,c_minus(v_k(B),c_minus(v_g(B),A,t_b),t_b),t_b),
inference(para_into,[status(thm),theory(equality)],[482,121]),
[iquote('para_into,482.1.1,120.1.1')] ).
cnf(523,plain,
c_lesse_quals(c_minus(A,v_k(B),t_b),c_minus(A,v_g(B),t_b),t_b),
inference(para_from,[status(thm),theory(equality)],[441,487]),
[iquote('para_from,441.1.1,487.1.2')] ).
cnf(524,plain,
$false,
inference(binary,[status(thm)],[523,8]),
[iquote('binary,523.1,8.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA028-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 10:22:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.94/2.14 ----- Otter 3.3f, August 2004 -----
% 1.94/2.14 The process was started by sandbox2 on n023.cluster.edu,
% 1.94/2.14 Wed Jul 27 10:22:18 2022
% 1.94/2.14 The command was "./otter". The process ID is 10446.
% 1.94/2.14
% 1.94/2.14 set(prolog_style_variables).
% 1.94/2.14 set(auto).
% 1.94/2.14 dependent: set(auto1).
% 1.94/2.14 dependent: set(process_input).
% 1.94/2.14 dependent: clear(print_kept).
% 1.94/2.14 dependent: clear(print_new_demod).
% 1.94/2.14 dependent: clear(print_back_demod).
% 1.94/2.14 dependent: clear(print_back_sub).
% 1.94/2.14 dependent: set(control_memory).
% 1.94/2.14 dependent: assign(max_mem, 12000).
% 1.94/2.14 dependent: assign(pick_given_ratio, 4).
% 1.94/2.14 dependent: assign(stats_level, 1).
% 1.94/2.14 dependent: assign(max_seconds, 10800).
% 1.94/2.14 clear(print_given).
% 1.94/2.14
% 1.94/2.14 list(usable).
% 1.94/2.14 0 [] A=A.
% 1.94/2.14 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_plus(c_0,V_y,T_a)=V_y.
% 1.94/2.14 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_plus(V_a,c_minus(V_b,V_c,T_a),T_a)=c_minus(c_plus(V_a,V_b,T_a),V_c,T_a).
% 1.94/2.14 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_plus(c_minus(V_a,V_b,T_a),V_c,T_a)=c_minus(c_plus(V_a,V_c,T_a),V_b,T_a).
% 1.94/2.14 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_minus(V_a,c_minus(V_b,V_c,T_a),T_a)=c_minus(c_plus(V_a,V_c,T_a),V_b,T_a).
% 1.94/2.14 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)| -c_lesse_quals(V_a,c_plus(V_c,V_b,T_a),T_a)|c_lesse_quals(c_minus(V_a,V_b,T_a),V_c,T_a).
% 1.94/2.14 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)| -c_lesse_quals(c_plus(V_a,V_b,T_a),V_c,T_a)|c_lesse_quals(V_a,c_minus(V_c,V_b,T_a),T_a).
% 1.94/2.14 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_minus(V_a,V_a,T_a)=c_0.
% 1.94/2.14 0 [] c_lesse_quals(v_g(V_U),v_k(V_U),t_b).
% 1.94/2.14 0 [] -c_lesse_quals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b).
% 1.94/2.14 0 [] -class_Ring__and__Field_Oordered__idom(T)|class_OrderedGroup_Ocomm__monoid__add(T).
% 1.94/2.14 0 [] -class_Ring__and__Field_Oordered__idom(T)|class_OrderedGroup_Oab__group__add(T).
% 1.94/2.14 0 [] -class_Ring__and__Field_Oordered__idom(T)|class_OrderedGroup_Opordered__ab__group__add(T).
% 1.94/2.14 0 [] class_Ring__and__Field_Oordered__idom(t_b).
% 1.94/2.14 end_of_list.
% 1.94/2.14
% 1.94/2.14 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 1.94/2.14
% 1.94/2.14 This is a Horn set with equality. The strategy will be
% 1.94/2.14 Knuth-Bendix and hyper_res, with positive clauses in
% 1.94/2.14 sos and nonpositive clauses in usable.
% 1.94/2.14
% 1.94/2.14 dependent: set(knuth_bendix).
% 1.94/2.14 dependent: set(anl_eq).
% 1.94/2.14 dependent: set(para_from).
% 1.94/2.14 dependent: set(para_into).
% 1.94/2.14 dependent: clear(para_from_right).
% 1.94/2.14 dependent: clear(para_into_right).
% 1.94/2.14 dependent: set(para_from_vars).
% 1.94/2.14 dependent: set(eq_units_both_ways).
% 1.94/2.14 dependent: set(dynamic_demod_all).
% 1.94/2.14 dependent: set(dynamic_demod).
% 1.94/2.14 dependent: set(order_eq).
% 1.94/2.14 dependent: set(back_demod).
% 1.94/2.14 dependent: set(lrpo).
% 1.94/2.14 dependent: set(hyper_res).
% 1.94/2.14 dependent: clear(order_hyper).
% 1.94/2.14
% 1.94/2.14 ------------> process usable:
% 1.94/2.14 ** KEPT (pick-wt=8): 1 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_plus(c_0,B,A)=B.
% 1.94/2.14 ** KEPT (pick-wt=17): 2 [] -class_OrderedGroup_Oab__group__add(A)|c_plus(B,c_minus(C,D,A),A)=c_minus(c_plus(B,C,A),D,A).
% 1.94/2.14 ** KEPT (pick-wt=17): 3 [] -class_OrderedGroup_Oab__group__add(A)|c_plus(c_minus(B,C,A),D,A)=c_minus(c_plus(B,D,A),C,A).
% 1.94/2.14 ** KEPT (pick-wt=17): 4 [] -class_OrderedGroup_Oab__group__add(A)|c_minus(B,c_minus(C,D,A),A)=c_minus(c_plus(B,D,A),C,A).
% 1.94/2.14 ** KEPT (pick-wt=16): 5 [] -class_OrderedGroup_Opordered__ab__group__add(A)| -c_lesse_quals(B,c_plus(C,D,A),A)|c_lesse_quals(c_minus(B,D,A),C,A).
% 1.94/2.14 ** KEPT (pick-wt=16): 6 [] -class_OrderedGroup_Opordered__ab__group__add(A)| -c_lesse_quals(c_plus(B,C,A),D,A)|c_lesse_quals(B,c_minus(D,C,A),A).
% 1.94/2.14 ** KEPT (pick-wt=8): 7 [] -class_OrderedGroup_Oab__group__add(A)|c_minus(B,B,A)=c_0.
% 1.94/2.14 ** KEPT (pick-wt=14): 8 [] -c_lesse_quals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b).
% 1.94/2.14 ** KEPT (pick-wt=4): 9 [] -class_Ring__and__Field_Oordered__idom(A)|class_OrderedGroup_Ocomm__monoid__add(A).
% 1.94/2.14 ** KEPT (pick-wt=4): 10 [] -class_Ring__and__Field_Oordered__idom(A)|class_OrderedGroup_Oab__group__add(A).
% 1.94/2.14 ** KEPT (pick-wt=4): 11 [] -class_Ring__and__Field_Oordered__idom(A)|class_OrderedGroup_Opordered__ab__group__add(A).
% 1.94/2.14
% 1.94/2.14 ------------> process sos:
% 1.94/2.14 ** KEPT (pick-wt=3): 12 [] A=A.
% 1.94/2.14 ** KEPT (pick-wt=6): 13 [] c_lesse_quals(v_g(A),v_k(A),t_b).
% 1.94/2.14 ** KEPT (pick-wt=2): 14 [] class_Ring__and__Field_Oordered__idom(t_b).
% 1.98/2.18 Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] A=A.
% 1.98/2.18
% 1.98/2.18 ======= end of input processing =======
% 1.98/2.18
% 1.98/2.18 =========== start of search ===========
% 1.98/2.18
% 1.98/2.18 -------- PROOF --------
% 1.98/2.18
% 1.98/2.18 ----> UNIT CONFLICT at 0.04 sec ----> 524 [binary,523.1,8.1] $F.
% 1.98/2.18
% 1.98/2.18 Length of proof is 41. Level of proof is 16.
% 1.98/2.18
% 1.98/2.18 ---------------- PROOF ----------------
% 1.98/2.18 % SZS status Unsatisfiable
% 1.98/2.18 % SZS output start Refutation
% See solution above
% 1.98/2.18 ------------ end of proof -------------
% 1.98/2.18
% 1.98/2.18
% 1.98/2.18 Search stopped by max_proofs option.
% 1.98/2.18
% 1.98/2.18
% 1.98/2.18 Search stopped by max_proofs option.
% 1.98/2.18
% 1.98/2.18 ============ end of search ============
% 1.98/2.18
% 1.98/2.18 -------------- statistics -------------
% 1.98/2.18 clauses given 64
% 1.98/2.18 clauses generated 1258
% 1.98/2.18 clauses kept 453
% 1.98/2.18 clauses forward subsumed 1075
% 1.98/2.18 clauses back subsumed 49
% 1.98/2.18 Kbytes malloced 1953
% 1.98/2.18
% 1.98/2.18 ----------- times (seconds) -----------
% 1.98/2.18 user CPU time 0.04 (0 hr, 0 min, 0 sec)
% 1.98/2.18 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.98/2.18 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.98/2.18
% 1.98/2.18 That finishes the proof of the theorem.
% 1.98/2.18
% 1.98/2.18 Process 10446 finished Wed Jul 27 10:22:20 2022
% 1.98/2.18 Otter interrupted
% 1.98/2.18 PROOF FOUND
%------------------------------------------------------------------------------