TSTP Solution File: ANA028-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ANA028-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 : 600s
% DateTime : Thu Jul 14 19:28:53 EDT 2022
% Result : Unsatisfiable 2.72s 2.88s
% Output : Refutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of clauses : 66 ( 11 unt; 0 nHn; 66 RR)
% Number of literals : 156 ( 0 equ; 99 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(u)
| equal(c_plus(c_0,v,u),v) ),
file('ANA028-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_minus(c_plus(v,w,u),x,u),c_plus(v,c_minus(w,x,u),u)) ),
file('ANA028-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_minus(c_plus(v,w,u),x,u),c_plus(c_minus(v,x,u),w,u)) ),
file('ANA028-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_minus(c_plus(v,w,u),x,u),c_minus(v,c_minus(x,w,u),u)) ),
file('ANA028-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(v,c_plus(w,x,u),u)
| c_lessequals(c_minus(v,x,u),w,u) ),
file('ANA028-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(c_plus(v,w,u),x,u)
| c_lessequals(v,c_minus(x,w,u),u) ),
file('ANA028-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_minus(v,v,u),c_0) ),
file('ANA028-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Ocomm__monoid__add(u) ),
file('ANA028-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Oab__group__add(u) ),
file('ANA028-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Opordered__ab__group__add(u) ),
file('ANA028-2.p',unknown),
[] ).
cnf(11,axiom,
c_lessequals(v_g(u),v_k(u),t_b),
file('ANA028-2.p',unknown),
[] ).
cnf(12,axiom,
~ c_lessequals(c_minus(v(v_x),v_k(v_x),t_b),c_minus(v(v_x),v_g(v_x),t_b),t_b),
file('ANA028-2.p',unknown),
[] ).
cnf(13,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('ANA028-2.p',unknown),
[] ).
cnf(14,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_minus(v,c_minus(w,x,u),u),c_plus(c_minus(v,w,u),x,u)) ),
inference(rew,[status(thm),theory(equality)],[4,3]),
[iquote('0:Rew:4.1,3.1')] ).
cnf(15,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_minus(c_plus(v,w,u),x,u),c_plus(c_minus(v,x,u),w,u)) ),
inference(rew,[status(thm),theory(equality)],[14,4]),
[iquote('0:Rew:14.1,4.1')] ).
cnf(16,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_minus(v,w,u),x,u),c_plus(v,c_minus(x,w,u),u)) ),
inference(rew,[status(thm),theory(equality)],[2,15]),
[iquote('0:Rew:2.1,15.1')] ).
cnf(17,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_minus(v,c_minus(w,x,u),u),c_plus(v,c_minus(x,w,u),u)) ),
inference(rew,[status(thm),theory(equality)],[16,14]),
[iquote('0:Rew:16.1,14.1')] ).
cnf(18,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(res,[status(thm),theory(equality)],[13,8]),
[iquote('0:Res:13.0,8.0')] ).
cnf(19,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(res,[status(thm),theory(equality)],[13,9]),
[iquote('0:Res:13.0,9.0')] ).
cnf(20,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(res,[status(thm),theory(equality)],[13,10]),
[iquote('0:Res:13.0,10.0')] ).
cnf(25,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_minus(w,c_plus(v,w,u),u),u),c_0) ),
inference(spr,[status(thm),theory(equality)],[2,7]),
[iquote('0:SpR:2.1,7.1')] ).
cnf(28,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_minus(w,c_plus(v,w,u),u),u),c_0) ),
inference(obv,[status(thm),theory(equality)],[25]),
[iquote('0:Obv:25.0')] ).
cnf(45,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_minus(w,v,u),u),c_plus(c_0,w,u)) ),
inference(spr,[status(thm),theory(equality)],[7,16]),
[iquote('0:SpR:7.1,16.1')] ).
cnf(46,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,c_minus(w,x,u),u),y,u),c_plus(c_plus(v,w,u),c_minus(y,x,u),u)) ),
inference(spr,[status(thm),theory(equality)],[2,16]),
[iquote('0:SpR:2.1,16.1')] ).
cnf(47,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_minus(w,v,u),u),c_plus(c_0,w,u)) ),
inference(obv,[status(thm),theory(equality)],[45]),
[iquote('0:Obv:45.0')] ).
cnf(52,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,c_minus(w,x,u),u),y,u),c_plus(c_plus(v,w,u),c_minus(y,x,u),u)) ),
inference(obv,[status(thm),theory(equality)],[46]),
[iquote('0:Obv:46.0')] ).
cnf(60,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,c_minus(w,x,u),u),y,u),c_plus(v,c_minus(y,c_minus(x,w,u),u),u)) ),
inference(spr,[status(thm),theory(equality)],[17,16]),
[iquote('0:SpR:17.1,16.1')] ).
cnf(61,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_minus(w,w,u),u),c_minus(v,c_0,u)) ),
inference(spr,[status(thm),theory(equality)],[7,17]),
[iquote('0:SpR:7.1,17.1')] ).
cnf(65,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_minus(w,w,u),u),c_minus(v,c_0,u)) ),
inference(obv,[status(thm),theory(equality)],[61]),
[iquote('0:Obv:61.0')] ).
cnf(66,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_minus(v,c_0,u),c_plus(v,c_0,u)) ),
inference(rew,[status(thm),theory(equality)],[7,65]),
[iquote('0:Rew:7.1,65.1')] ).
cnf(68,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,c_minus(w,x,u),u),y,u),c_plus(v,c_minus(y,c_minus(x,w,u),u),u)) ),
inference(obv,[status(thm),theory(equality)],[60]),
[iquote('0:Obv:60.0')] ).
cnf(69,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,c_minus(w,x,u),u),y,u),c_plus(v,c_plus(y,c_minus(w,x,u),u),u)) ),
inference(rew,[status(thm),theory(equality)],[17,68]),
[iquote('0:Rew:17.1,68.1')] ).
cnf(70,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,w,u),c_minus(x,y,u),u),c_plus(v,c_plus(x,c_minus(w,y,u),u),u)) ),
inference(rew,[status(thm),theory(equality)],[52,69]),
[iquote('0:Rew:52.1,69.1')] ).
cnf(71,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,c_minus(w,x,u),u),y,u),c_plus(v,c_plus(y,c_minus(w,x,u),u),u)) ),
inference(rew,[status(thm),theory(equality)],[70,52]),
[iquote('0:Rew:70.1,52.1')] ).
cnf(94,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,c_0,u),w,u),c_plus(v,c_minus(w,c_0,u),u)) ),
inference(spr,[status(thm),theory(equality)],[66,16]),
[iquote('0:SpR:66.1,16.1')] ).
cnf(96,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,c_0,u),w,u),c_plus(v,c_minus(w,c_0,u),u)) ),
inference(obv,[status(thm),theory(equality)],[94]),
[iquote('0:Obv:94.0')] ).
cnf(97,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(v,c_0,u),w,u),c_plus(v,c_plus(w,c_0,u),u)) ),
inference(rew,[status(thm),theory(equality)],[66,96]),
[iquote('0:Rew:66.1,96.1')] ).
cnf(122,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Ocomm__monoid__add(u)
| equal(c_minus(v,c_0,u),c_plus(c_0,v,u)) ),
inference(spr,[status(thm),theory(equality)],[47,1]),
[iquote('0:SpR:47.1,1.1')] ).
cnf(128,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_0,u),c_plus(c_0,v,u)) ),
inference(spr,[status(thm),theory(equality)],[7,47]),
[iquote('0:SpR:7.1,47.1')] ).
cnf(131,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_plus(w,c_minus(x,v,u),u),u),c_plus(c_0,c_plus(w,x,u),u)) ),
inference(spr,[status(thm),theory(equality)],[2,47]),
[iquote('0:SpR:2.1,47.1')] ).
cnf(132,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Ocomm__monoid__add(u)
| equal(c_plus(v,c_0,u),v) ),
inference(rew,[status(thm),theory(equality)],[66,122,1]),
[iquote('0:Rew:66.1,122.2,1.1,122.2')] ).
cnf(134,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_0,u),c_plus(c_0,v,u)) ),
inference(obv,[status(thm),theory(equality)],[128]),
[iquote('0:Obv:128.0')] ).
cnf(139,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_plus(w,c_minus(x,v,u),u),u),c_plus(c_0,c_plus(w,x,u),u)) ),
inference(obv,[status(thm),theory(equality)],[131]),
[iquote('0:Obv:131.0')] ).
cnf(156,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(v(v_x),c_plus(c_minus(v(v_x),v_g(v_x),t_b),v_k(v_x),t_b),t_b) ),
inference(res,[status(thm),theory(equality)],[5,12]),
[iquote('0:Res:5.2,12.0')] ).
cnf(157,plain,
~ c_lessequals(v(v_x),c_plus(c_minus(v(v_x),v_g(v_x),t_b),v_k(v_x),t_b),t_b),
inference(ssi,[status(thm)],[156,13,18,20,19]),
[iquote('0:SSi:156.0,13.0,18.0,20.0,19.0')] ).
cnf(198,plain,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| ~ c_lessequals(v(v_x),c_plus(v(v_x),c_minus(v_k(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(spl,[status(thm),theory(equality)],[16,157]),
[iquote('0:SpL:16.1,157.0')] ).
cnf(199,plain,
~ c_lessequals(v(v_x),c_plus(v(v_x),c_minus(v_k(v_x),v_g(v_x),t_b),t_b),t_b),
inference(ssi,[status(thm)],[198,13,18,20,19]),
[iquote('0:SSi:198.0,13.0,18.0,20.0,19.0')] ).
cnf(201,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(u)
| ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(v,w,u)
| c_lessequals(c_0,c_minus(w,v,u),u) ),
inference(spl,[status(thm),theory(equality)],[1,6]),
[iquote('0:SpL:1.1,6.1')] ).
cnf(204,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(c_0,v,u)
| c_lessequals(w,c_minus(v,c_minus(x,c_plus(w,x,u),u),u),u) ),
inference(spl,[status(thm),theory(equality)],[28,6]),
[iquote('0:SpL:28.1,6.1')] ).
cnf(213,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(c_0,v,u)
| c_lessequals(w,c_plus(v,c_plus(w,c_0,u),u),u) ),
inference(rew,[status(thm),theory(equality)],[7,204,2,17]),
[iquote('0:Rew:7.1,204.3,2.1,204.3,17.1,204.3')] ).
cnf(367,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(c_0,v,u),w,u),c_plus(v,c_plus(w,c_0,u),u)) ),
inference(spr,[status(thm),theory(equality)],[134,97]),
[iquote('0:SpR:134.1,97.1')] ).
cnf(376,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_plus(c_0,v,u),w,u),c_plus(v,c_plus(w,c_0,u),u)) ),
inference(obv,[status(thm),theory(equality)],[367]),
[iquote('0:Obv:367.0')] ).
cnf(1907,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_plus(w,c_minus(x,v,u),u),u),c_plus(c_plus(c_0,x,u),w,u)) ),
inference(spr,[status(thm),theory(equality)],[47,71]),
[iquote('0:SpR:47.1,71.1')] ).
cnf(1919,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_plus(w,c_minus(x,v,u),u),u),c_plus(c_plus(c_0,x,u),w,u)) ),
inference(obv,[status(thm),theory(equality)],[1907]),
[iquote('0:Obv:1907.0')] ).
cnf(1920,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(v,c_plus(w,c_minus(x,v,u),u),u),c_plus(x,c_plus(w,c_0,u),u)) ),
inference(rew,[status(thm),theory(equality)],[376,1919]),
[iquote('0:Rew:376.1,1919.1')] ).
cnf(1921,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_0,c_plus(v,w,u),u),c_plus(w,c_plus(v,c_0,u),u)) ),
inference(rew,[status(thm),theory(equality)],[139,1920]),
[iquote('0:Rew:139.1,1920.1')] ).
cnf(2017,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Ocomm__monoid__add(u)
| equal(c_plus(v,c_plus(w,c_0,u),u),c_plus(w,v,u)) ),
inference(spr,[status(thm),theory(equality)],[1921,1]),
[iquote('0:SpR:1921.1,1.1')] ).
cnf(2090,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Ocomm__monoid__add(u)
| equal(c_plus(v,w,u),c_plus(w,v,u)) ),
inference(rew,[status(thm),theory(equality)],[132,2017]),
[iquote('0:Rew:132.2,2017.2')] ).
cnf(5869,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Ocomm__monoid__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(c_0,v,u)
| c_lessequals(w,c_plus(c_plus(w,c_0,u),v,u),u) ),
inference(spr,[status(thm),theory(equality)],[2090,213]),
[iquote('0:SpR:2090.2,213.3')] ).
cnf(5914,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(c_0,v,u)
| c_lessequals(w,c_plus(c_plus(w,c_0,u),v,u),u) ),
inference(obv,[status(thm),theory(equality)],[5869]),
[iquote('0:Obv:5869.0')] ).
cnf(5915,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(u)
| ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(c_0,v,u)
| c_lessequals(w,c_plus(w,v,u),u) ),
inference(rew,[status(thm),theory(equality)],[132,5914,97]),
[iquote('0:Rew:132.2,5914.4,97.1,5914.4')] ).
cnf(10754,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) ),
inference(res,[status(thm),theory(equality)],[5915,199]),
[iquote('0:Res:5915.4,199.0')] ).
cnf(10769,plain,
~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(ssi,[status(thm)],[10754,13,18,20,19]),
[iquote('0:SSi:10754.2,10754.1,10754.0,13.0,18.0,20.0,19.0,13.0,18.0,20.0,19.0,13.0,18.0,20.0,19.0')] ).
cnf(11253,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(v_g(v_x),v_k(v_x),t_b) ),
inference(res,[status(thm),theory(equality)],[201,10769]),
[iquote('0:Res:201.3,10769.0')] ).
cnf(11254,plain,
~ c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(ssi,[status(thm)],[11253,13,18,20,19]),
[iquote('0:SSi:11253.1,11253.0,13.0,18.0,20.0,19.0,13.0,18.0,20.0,19.0')] ).
cnf(11255,plain,
$false,
inference(mrr,[status(thm)],[11254,11]),
[iquote('0:MRR:11254.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA028-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.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 : 600
% 0.12/0.33 % DateTime : Fri Jul 8 03:32:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.72/2.88
% 2.72/2.88 SPASS V 3.9
% 2.72/2.88 SPASS beiseite: Proof found.
% 2.72/2.88 % SZS status Theorem
% 2.72/2.88 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/2.88 SPASS derived 4465 clauses, backtracked 0 clauses, performed 0 splits and kept 714 clauses.
% 2.72/2.88 SPASS allocated 85171 KBytes.
% 2.72/2.88 SPASS spent 0:00:02.53 on the problem.
% 2.72/2.88 0:00:00.03 for the input.
% 2.72/2.88 0:00:00.00 for the FLOTTER CNF translation.
% 2.72/2.88 0:00:00.07 for inferences.
% 2.72/2.88 0:00:00.00 for the backtracking.
% 2.72/2.88 0:00:02.41 for the reduction.
% 2.72/2.88
% 2.72/2.88
% 2.72/2.88 Here is a proof with depth 6, length 66 :
% 2.72/2.88 % SZS output start Refutation
% See solution above
% 4.38/4.55 Formulae used in the proof : cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0 cls_OrderedGroup_Ocompare__rls__2_0 cls_OrderedGroup_Ocompare__rls__3_0 cls_OrderedGroup_Ocompare__rls__5_0 cls_OrderedGroup_Ocompare__rls__8_1 cls_OrderedGroup_Ocompare__rls__9_1 cls_OrderedGroup_Odiff__self_0 clsrel_Ring__and__Field_Oordered__idom_23 clsrel_Ring__and__Field_Oordered__idom_4 clsrel_Ring__and__Field_Oordered__idom_54 cls_conjecture_1 cls_conjecture_3 tfree_tcs
% 4.38/4.55
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