TSTP Solution File: NUM842+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM842+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:10:04 EDT 2022
% Result : Theorem 3.37s 3.57s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 11 unt; 7 nHn; 18 RR)
% Number of literals : 35 ( 5 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
file('NUM842+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ greater(A,B)
| ~ greater(C,D)
| greater(vplus(C,A),vplus(D,B)) ),
file('NUM842+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ greater(A,B)
| greater(vplus(A,C),vplus(B,C)) ),
file('NUM842+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ ge_q(A,B)
| greater(A,B)
| A = B ),
file('NUM842+1.p',unknown),
[] ).
cnf(19,axiom,
( ge_q(A,B)
| ~ greater(A,B) ),
file('NUM842+1.p',unknown),
[] ).
cnf(44,axiom,
( greater(vd355,vd356)
| ge_q(vd355,vd356) ),
file('NUM842+1.p',unknown),
[] ).
cnf(45,axiom,
( greater(vd355,vd356)
| greater(vd353,vd354) ),
file('NUM842+1.p',unknown),
[] ).
cnf(47,axiom,
( ge_q(vd353,vd354)
| greater(vd353,vd354) ),
file('NUM842+1.p',unknown),
[] ).
cnf(52,axiom,
vplus(A,B) = vplus(B,A),
file('NUM842+1.p',unknown),
[] ).
cnf(92,plain,
ge_q(vd355,vd356),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[44,19])]),
[iquote('hyper,44,19,factor_simp')] ).
cnf(93,plain,
( greater(vd355,vd356)
| vd356 = vd355 ),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[92,18])]),
[iquote('hyper,92,18,flip.2')] ).
cnf(136,plain,
( greater(vd355,vd356)
| greater(vplus(vd353,A),vplus(vd354,A)) ),
inference(hyper,[status(thm)],[45,8]),
[iquote('hyper,45,8')] ).
cnf(234,plain,
ge_q(vd353,vd354),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[47,19])]),
[iquote('hyper,47,19,factor_simp')] ).
cnf(235,plain,
( greater(vd353,vd354)
| vd354 = vd353 ),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[234,18])]),
[iquote('hyper,234,18,flip.2')] ).
cnf(448,plain,
( ~ greater(vplus(vd353,vd355),vplus(vd354,vd355))
| greater(vd355,vd356) ),
inference(para_from,[status(thm),theory(equality)],[93,1]),
[iquote('para_from,93.2.1,1.1.2.2')] ).
cnf(741,plain,
~ greater(vplus(vd353,vd355),vplus(vd356,vd354)),
inference(para_from,[status(thm),theory(equality)],[52,1]),
[iquote('para_from,52.1.1,1.1.2')] ).
cnf(1604,plain,
~ greater(vplus(vd355,vd353),vplus(vd356,vd354)),
inference(para_into,[status(thm),theory(equality)],[741,52]),
[iquote('para_into,741.1.1,52.1.1')] ).
cnf(1896,plain,
greater(vd355,vd356),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[448,136])]),
[iquote('hyper,448,136,factor_simp')] ).
cnf(1909,plain,
greater(vplus(vd355,A),vplus(vd356,A)),
inference(hyper,[status(thm)],[1896,8]),
[iquote('hyper,1896,8')] ).
cnf(1912,plain,
vd354 = vd353,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1896,2,235]),1604]),
[iquote('hyper,1896,2,235,unit_del,1604')] ).
cnf(1924,plain,
~ greater(vplus(vd355,vd353),vplus(vd356,vd353)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1604]),1912]),
[iquote('back_demod,1604,demod,1912')] ).
cnf(1925,plain,
$false,
inference(binary,[status(thm)],[1924,1909]),
[iquote('binary,1924.1,1909.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM842+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 09:33:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.89/2.08 ----- Otter 3.3f, August 2004 -----
% 1.89/2.08 The process was started by sandbox2 on n022.cluster.edu,
% 1.89/2.08 Wed Jul 27 09:33:35 2022
% 1.89/2.08 The command was "./otter". The process ID is 22922.
% 1.89/2.08
% 1.89/2.08 set(prolog_style_variables).
% 1.89/2.08 set(auto).
% 1.89/2.08 dependent: set(auto1).
% 1.89/2.08 dependent: set(process_input).
% 1.89/2.08 dependent: clear(print_kept).
% 1.89/2.08 dependent: clear(print_new_demod).
% 1.89/2.08 dependent: clear(print_back_demod).
% 1.89/2.08 dependent: clear(print_back_sub).
% 1.89/2.08 dependent: set(control_memory).
% 1.89/2.08 dependent: assign(max_mem, 12000).
% 1.89/2.08 dependent: assign(pick_given_ratio, 4).
% 1.89/2.08 dependent: assign(stats_level, 1).
% 1.89/2.08 dependent: assign(max_seconds, 10800).
% 1.89/2.08 clear(print_given).
% 1.89/2.08
% 1.89/2.08 formula_list(usable).
% 1.89/2.08 all A (A=A).
% 1.89/2.08 -greater(vplus(vd353,vd355),vplus(vd354,vd356)).
% 1.89/2.08 greater(vd355,vd356)&ge_q(vd353,vd354)|ge_q(vd355,vd356)&greater(vd353,vd354).
% 1.89/2.08 all Vd337 Vd338 Vd340 Vd341 (greater(Vd340,Vd341)&greater(Vd337,Vd338)->greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341))).
% 1.89/2.08 all Vd328 Vd329 Vd330 (less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))->less(Vd328,Vd329)).
% 1.89/2.08 all Vd328 Vd329 Vd330 (vplus(Vd328,Vd330)=vplus(Vd329,Vd330)->Vd328=Vd329).
% 1.89/2.08 all Vd328 Vd329 Vd330 (greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))->greater(Vd328,Vd329)).
% 1.89/2.08 all Vd301 Vd302 Vd303 (less(Vd301,Vd302)->less(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 1.89/2.08 all Vd301 Vd302 Vd303 (Vd301=Vd302->vplus(Vd301,Vd303)=vplus(Vd302,Vd303)).
% 1.89/2.08 all Vd301 Vd302 Vd303 (greater(Vd301,Vd302)->greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 1.89/2.08 all Vd295 Vd296 greater(vplus(Vd295,Vd296),Vd295).
% 1.89/2.08 all Vd289 Vd290 Vd292 (le_q(Vd290,Vd292)&le_q(Vd289,Vd290)->le_q(Vd289,Vd292)).
% 1.89/2.08 all Vd281 Vd282 Vd283 (less(Vd282,Vd283)&le_q(Vd281,Vd282)|le_q(Vd282,Vd283)&less(Vd281,Vd282)->less(Vd281,Vd283)).
% 1.89/2.08 all Vd262 Vd263 Vd265 (less(Vd263,Vd265)&less(Vd262,Vd263)->less(Vd262,Vd265)).
% 1.89/2.08 all Vd258 Vd259 (le_q(Vd258,Vd259)->ge_q(Vd259,Vd258)).
% 1.89/2.08 all Vd254 Vd255 (ge_q(Vd254,Vd255)->le_q(Vd255,Vd254)).
% 1.89/2.08 all Vd249 Vd250 (le_q(Vd250,Vd249)<->less(Vd250,Vd249)|Vd250=Vd249).
% 1.89/2.08 all Vd244 Vd245 (ge_q(Vd245,Vd244)<->greater(Vd245,Vd244)|Vd245=Vd244).
% 1.89/2.08 all Vd226 Vd227 (less(Vd226,Vd227)->greater(Vd227,Vd226)).
% 1.89/2.08 all Vd208 Vd209 (greater(Vd208,Vd209)->less(Vd209,Vd208)).
% 1.89/2.08 all Vd203 Vd204 (Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204)).
% 1.89/2.08 all Vd203 Vd204 (Vd203!=Vd204| -less(Vd203,Vd204)).
% 1.89/2.08 all Vd203 Vd204 (-greater(Vd203,Vd204)| -less(Vd203,Vd204)).
% 1.89/2.08 all Vd203 Vd204 (Vd203!=Vd204| -greater(Vd203,Vd204)).
% 1.89/2.08 all Vd198 Vd199 (less(Vd199,Vd198)<-> (exists Vd201 (Vd198=vplus(Vd199,Vd201)))).
% 1.89/2.08 all Vd193 Vd194 (greater(Vd194,Vd193)<-> (exists Vd196 (Vd194=vplus(Vd193,Vd196)))).
% 1.89/2.08 all Vd120 Vd121 (Vd120=Vd121| (exists Vd123 (Vd120=vplus(Vd121,Vd123)))| (exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.89/2.08 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.89/2.08 all Vd120 Vd121 (-(exists Vd123 (Vd120=vplus(Vd121,Vd123)))| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.89/2.08 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd123 (Vd120=vplus(Vd121,Vd123)))).
% 1.89/2.08 all Vd104 Vd105 (Vd104!=Vd105-> (all Vd107 (vplus(Vd107,Vd104)!=vplus(Vd107,Vd105)))).
% 1.89/2.08 all Vd92 Vd93 (Vd93!=vplus(Vd92,Vd93)).
% 1.89/2.08 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 1.89/2.08 all Vd68 Vd69 (vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69))).
% 1.89/2.08 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 1.89/2.08 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 1.89/2.08 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 1.89/2.08 all Vd24 (Vd24!=v1->Vd24=vsucc(vskolem2(Vd24))).
% 1.89/2.08 all Vd16 (vsucc(Vd16)!=Vd16).
% 1.89/2.08 all Vd7 Vd8 (Vd7!=Vd8->vsucc(Vd7)!=vsucc(Vd8)).
% 1.89/2.08 all Vd3 Vd4 (vsucc(Vd3)=vsucc(Vd4)->Vd3=Vd4).
% 1.89/2.08 all Vd1 (vsucc(Vd1)!=v1).
% 1.89/2.08 end_of_list.
% 1.89/2.08
% 1.89/2.08 -------> usable clausifies to:
% 1.89/2.08
% 1.89/2.08 list(usable).
% 1.89/2.08 0 [] A=A.
% 1.89/2.08 0 [] -greater(vplus(vd353,vd355),vplus(vd354,vd356)).
% 1.89/2.08 0 [] greater(vd355,vd356)|ge_q(vd355,vd356).
% 1.89/2.08 0 [] greater(vd355,vd356)|greater(vd353,vd354).
% 1.89/2.08 0 [] ge_q(vd353,vd354)|ge_q(vd355,vd356).
% 1.89/2.08 0 [] ge_q(vd353,vd354)|greater(vd353,vd354).
% 1.89/2.08 0 [] -greater(Vd340,Vd341)| -greater(Vd337,Vd338)|greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)).
% 1.89/2.08 0 [] -less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|less(Vd328,Vd329).
% 1.89/2.08 0 [] vplus(Vd328,Vd330)!=vplus(Vd329,Vd330)|Vd328=Vd329.
% 1.89/2.08 0 [] -greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|greater(Vd328,Vd329).
% 1.89/2.08 0 [] -less(Vd301,Vd302)|less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 1.89/2.08 0 [] Vd301!=Vd302|vplus(Vd301,Vd303)=vplus(Vd302,Vd303).
% 1.89/2.08 0 [] -greater(Vd301,Vd302)|greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 1.89/2.08 0 [] greater(vplus(Vd295,Vd296),Vd295).
% 1.89/2.08 0 [] -le_q(Vd290,Vd292)| -le_q(Vd289,Vd290)|le_q(Vd289,Vd292).
% 1.89/2.08 0 [] -less(Vd282,Vd283)| -le_q(Vd281,Vd282)|less(Vd281,Vd283).
% 1.89/2.08 0 [] -le_q(Vd282,Vd283)| -less(Vd281,Vd282)|less(Vd281,Vd283).
% 1.89/2.08 0 [] -less(Vd263,Vd265)| -less(Vd262,Vd263)|less(Vd262,Vd265).
% 1.89/2.08 0 [] -le_q(Vd258,Vd259)|ge_q(Vd259,Vd258).
% 1.89/2.08 0 [] -ge_q(Vd254,Vd255)|le_q(Vd255,Vd254).
% 1.89/2.08 0 [] -le_q(Vd250,Vd249)|less(Vd250,Vd249)|Vd250=Vd249.
% 1.89/2.08 0 [] le_q(Vd250,Vd249)| -less(Vd250,Vd249).
% 1.89/2.08 0 [] le_q(Vd250,Vd249)|Vd250!=Vd249.
% 1.89/2.08 0 [] -ge_q(Vd245,Vd244)|greater(Vd245,Vd244)|Vd245=Vd244.
% 1.89/2.08 0 [] ge_q(Vd245,Vd244)| -greater(Vd245,Vd244).
% 1.89/2.08 0 [] ge_q(Vd245,Vd244)|Vd245!=Vd244.
% 1.89/2.08 0 [] -less(Vd226,Vd227)|greater(Vd227,Vd226).
% 1.89/2.08 0 [] -greater(Vd208,Vd209)|less(Vd209,Vd208).
% 1.89/2.08 0 [] Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204).
% 1.89/2.08 0 [] Vd203!=Vd204| -less(Vd203,Vd204).
% 1.89/2.08 0 [] -greater(Vd203,Vd204)| -less(Vd203,Vd204).
% 1.89/2.08 0 [] Vd203!=Vd204| -greater(Vd203,Vd204).
% 1.89/2.08 0 [] -less(Vd199,Vd198)|Vd198=vplus(Vd199,$f1(Vd198,Vd199)).
% 1.89/2.08 0 [] less(Vd199,Vd198)|Vd198!=vplus(Vd199,Vd201).
% 1.89/2.08 0 [] -greater(Vd194,Vd193)|Vd194=vplus(Vd193,$f2(Vd193,Vd194)).
% 1.89/2.08 0 [] greater(Vd194,Vd193)|Vd194!=vplus(Vd193,Vd196).
% 1.89/2.08 0 [] Vd120=Vd121|Vd120=vplus(Vd121,$f3(Vd120,Vd121))|Vd121=vplus(Vd120,$f4(Vd120,Vd121)).
% 1.89/2.08 0 [] Vd120!=Vd121|Vd121!=vplus(Vd120,Vd125).
% 1.89/2.08 0 [] Vd120!=vplus(Vd121,Vd123)|Vd121!=vplus(Vd120,Vd125).
% 1.89/2.08 0 [] Vd120!=Vd121|Vd120!=vplus(Vd121,Vd123).
% 1.89/2.08 0 [] Vd104=Vd105|vplus(Vd107,Vd104)!=vplus(Vd107,Vd105).
% 1.89/2.08 0 [] Vd93!=vplus(Vd92,Vd93).
% 1.89/2.08 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 1.89/2.08 0 [] vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69)).
% 1.89/2.08 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 1.89/2.08 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 1.89/2.08 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 1.89/2.08 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 1.89/2.08 0 [] Vd24=v1|Vd24=vsucc(vskolem2(Vd24)).
% 1.89/2.08 0 [] vsucc(Vd16)!=Vd16.
% 1.89/2.08 0 [] Vd7=Vd8|vsucc(Vd7)!=vsucc(Vd8).
% 1.89/2.08 0 [] vsucc(Vd3)!=vsucc(Vd4)|Vd3=Vd4.
% 1.89/2.08 0 [] vsucc(Vd1)!=v1.
% 1.89/2.08 end_of_list.
% 1.89/2.08
% 1.89/2.08 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.89/2.08
% 1.89/2.08 This ia a non-Horn set with equality. The strategy will be
% 1.89/2.08 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.89/2.08 deletion, with positive clauses in sos and nonpositive
% 1.89/2.08 clauses in usable.
% 1.89/2.08
% 1.89/2.08 dependent: set(knuth_bendix).
% 1.89/2.08 dependent: set(anl_eq).
% 1.89/2.08 dependent: set(para_from).
% 1.89/2.08 dependent: set(para_into).
% 1.89/2.08 dependent: clear(para_from_right).
% 1.89/2.08 dependent: clear(para_into_right).
% 1.89/2.08 dependent: set(para_from_vars).
% 1.89/2.08 dependent: set(eq_units_both_ways).
% 1.89/2.08 dependent: set(dynamic_demod_all).
% 1.89/2.08 dependent: set(dynamic_demod).
% 1.89/2.08 dependent: set(order_eq).
% 1.89/2.08 dependent: set(back_demod).
% 1.89/2.08 dependent: set(lrpo).
% 1.89/2.08 dependent: set(hyper_res).
% 1.89/2.08 dependent: set(unit_deletion).
% 1.89/2.08 dependent: set(factor).
% 1.89/2.08
% 1.89/2.08 ------------> process usable:
% 1.89/2.08 ** KEPT (pick-wt=7): 1 [] -greater(vplus(vd353,vd355),vplus(vd354,vd356)).
% 1.89/2.08 ** KEPT (pick-wt=13): 2 [] -greater(A,B)| -greater(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.89/2.08 ** KEPT (pick-wt=10): 3 [] -less(vplus(A,B),vplus(C,B))|less(A,C).
% 1.89/2.08 ** KEPT (pick-wt=10): 4 [] vplus(A,B)!=vplus(C,B)|A=C.
% 1.89/2.08 ** KEPT (pick-wt=10): 5 [] -greater(vplus(A,B),vplus(C,B))|greater(A,C).
% 1.89/2.08 ** KEPT (pick-wt=10): 6 [] -less(A,B)|less(vplus(A,C),vplus(B,C)).
% 1.89/2.08 ** KEPT (pick-wt=10): 7 [] A!=B|vplus(A,C)=vplus(B,C).
% 1.89/2.08 ** KEPT (pick-wt=10): 8 [] -greater(A,B)|greater(vplus(A,C),vplus(B,C)).
% 1.89/2.08 ** KEPT (pick-wt=9): 9 [] -le_q(A,B)| -le_q(C,A)|le_q(C,B).
% 1.89/2.08 ** KEPT (pick-wt=9): 10 [] -less(A,B)| -le_q(C,A)|less(C,B).
% 1.89/2.08 ** KEPT (pick-wt=9): 11 [] -le_q(A,B)| -less(C,A)|less(C,B).
% 1.89/2.08 ** KEPT (pick-wt=9): 12 [] -less(A,B)| -less(C,A)|less(C,B).
% 1.89/2.08 ** KEPT (pick-wt=6): 13 [] -le_q(A,B)|ge_q(B,A).
% 1.89/2.08 ** KEPT (pick-wt=6): 14 [] -ge_q(A,B)|le_q(B,A).
% 1.89/2.08 ** KEPT (pick-wt=9): 15 [] -le_q(A,B)|less(A,B)|A=B.
% 1.89/2.08 ** KEPT (pick-wt=6): 16 [] le_q(A,B)| -less(A,B).
% 1.89/2.08 ** KEPT (pick-wt=6): 17 [] le_q(A,B)|A!=B.
% 1.89/2.08 ** KEPT (pick-wt=9): 18 [] -ge_q(A,B)|greater(A,B)|A=B.
% 3.37/3.57 ** KEPT (pick-wt=6): 19 [] ge_q(A,B)| -greater(A,B).
% 3.37/3.57 ** KEPT (pick-wt=6): 20 [] ge_q(A,B)|A!=B.
% 3.37/3.57 ** KEPT (pick-wt=6): 21 [] -less(A,B)|greater(B,A).
% 3.37/3.57 ** KEPT (pick-wt=6): 22 [] -greater(A,B)|less(B,A).
% 3.37/3.57 ** KEPT (pick-wt=6): 23 [] A!=B| -less(A,B).
% 3.37/3.57 ** KEPT (pick-wt=6): 24 [] -greater(A,B)| -less(A,B).
% 3.37/3.57 ** KEPT (pick-wt=6): 25 [] A!=B| -greater(A,B).
% 3.37/3.57 ** KEPT (pick-wt=10): 27 [copy,26,flip.2] -less(A,B)|vplus(A,$f1(B,A))=B.
% 3.37/3.57 ** KEPT (pick-wt=8): 28 [] less(A,B)|B!=vplus(A,C).
% 3.37/3.57 ** KEPT (pick-wt=10): 30 [copy,29,flip.2] -greater(A,B)|vplus(B,$f2(B,A))=A.
% 3.37/3.57 ** KEPT (pick-wt=8): 31 [] greater(A,B)|A!=vplus(B,C).
% 3.37/3.57 ** KEPT (pick-wt=8): 32 [] A!=B|B!=vplus(A,C).
% 3.37/3.57 ** KEPT (pick-wt=10): 33 [] A!=vplus(B,C)|B!=vplus(A,D).
% 3.37/3.57 ** KEPT (pick-wt=8): 34 [] A!=B|A!=vplus(B,C).
% 3.37/3.57 ** KEPT (pick-wt=10): 35 [] A=B|vplus(C,A)!=vplus(C,B).
% 3.37/3.57 ** KEPT (pick-wt=5): 37 [copy,36,flip.1] vplus(A,B)!=B.
% 3.37/3.57 ** KEPT (pick-wt=4): 38 [] vsucc(A)!=A.
% 3.37/3.57 ** KEPT (pick-wt=8): 39 [] A=B|vsucc(A)!=vsucc(B).
% 3.37/3.57 Following clause subsumed by 39 during input processing: 0 [] vsucc(A)!=vsucc(B)|A=B.
% 3.37/3.57 ** KEPT (pick-wt=4): 40 [] vsucc(A)!=v1.
% 3.37/3.57
% 3.37/3.57 ------------> process sos:
% 3.37/3.57 ** KEPT (pick-wt=3): 43 [] A=A.
% 3.37/3.57 ** KEPT (pick-wt=6): 44 [] greater(vd355,vd356)|ge_q(vd355,vd356).
% 3.37/3.57 ** KEPT (pick-wt=6): 45 [] greater(vd355,vd356)|greater(vd353,vd354).
% 3.37/3.57 ** KEPT (pick-wt=6): 46 [] ge_q(vd353,vd354)|ge_q(vd355,vd356).
% 3.37/3.57 ** KEPT (pick-wt=6): 47 [] ge_q(vd353,vd354)|greater(vd353,vd354).
% 3.37/3.57 ** KEPT (pick-wt=5): 48 [] greater(vplus(A,B),A).
% 3.37/3.57 ** KEPT (pick-wt=9): 49 [] A=B|greater(A,B)|less(A,B).
% 3.37/3.57 ** KEPT (pick-wt=17): 51 [copy,50,flip.2,flip.3] A=B|vplus(B,$f3(A,B))=A|vplus(A,$f4(A,B))=B.
% 3.37/3.57 ** KEPT (pick-wt=7): 52 [] vplus(A,B)=vplus(B,A).
% 3.37/3.57 ** KEPT (pick-wt=9): 54 [copy,53,flip.1] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 3.37/3.57 ---> New Demodulator: 55 [new_demod,54] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 3.37/3.57 ** KEPT (pick-wt=6): 57 [copy,56,flip.1] vsucc(A)=vplus(v1,A).
% 3.37/3.57 ---> New Demodulator: 58 [new_demod,57] vsucc(A)=vplus(v1,A).
% 3.37/3.57 ** KEPT (pick-wt=11): 59 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 3.37/3.57 ---> New Demodulator: 60 [new_demod,59] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 3.37/3.57 ** KEPT (pick-wt=11): 62 [copy,61,demod,58,58] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 3.37/3.57 Following clause subsumed by 52 during input processing: 0 [demod,58] vplus(A,v1)=vplus(v1,A).
% 3.37/3.57 ** KEPT (pick-wt=9): 64 [copy,63,demod,58,flip.2] A=v1|vplus(v1,vskolem2(A))=A.
% 3.37/3.57 Following clause subsumed by 43 during input processing: 0 [copy,43,flip.1] A=A.
% 3.37/3.57 Following clause subsumed by 52 during input processing: 0 [copy,52,flip.1] vplus(A,B)=vplus(B,A).
% 3.37/3.57 >>>> Starting back demodulation with 55.
% 3.37/3.57 >>>> Starting back demodulation with 58.
% 3.37/3.57 >> back demodulating 54 with 58.
% 3.37/3.57 >> back demodulating 40 with 58.
% 3.37/3.57 >> back demodulating 39 with 58.
% 3.37/3.57 >> back demodulating 38 with 58.
% 3.37/3.57 >>>> Starting back demodulation with 60.
% 3.37/3.57 ** KEPT (pick-wt=11): 65 [copy,62,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 3.37/3.57 Following clause subsumed by 62 during input processing: 0 [copy,65,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 3.37/3.57
% 3.37/3.57 ======= end of input processing =======
% 3.37/3.57
% 3.37/3.57 =========== start of search ===========
% 3.37/3.57
% 3.37/3.57
% 3.37/3.57 Resetting weight limit to 8.
% 3.37/3.57
% 3.37/3.57
% 3.37/3.57 Resetting weight limit to 8.
% 3.37/3.57
% 3.37/3.57 sos_size=1022
% 3.37/3.57
% 3.37/3.57
% 3.37/3.57 Resetting weight limit to 7.
% 3.37/3.57
% 3.37/3.57
% 3.37/3.57 Resetting weight limit to 7.
% 3.37/3.57
% 3.37/3.57 sos_size=1215
% 3.37/3.57
% 3.37/3.57 -------- PROOF --------
% 3.37/3.57
% 3.37/3.57 ----> UNIT CONFLICT at 1.45 sec ----> 1925 [binary,1924.1,1909.1] $F.
% 3.37/3.57
% 3.37/3.57 Length of proof is 12. Level of proof is 6.
% 3.37/3.57
% 3.37/3.57 ---------------- PROOF ----------------
% 3.37/3.57 % SZS status Theorem
% 3.37/3.57 % SZS output start Refutation
% See solution above
% 3.37/3.57 ------------ end of proof -------------
% 3.37/3.57
% 3.37/3.57
% 3.37/3.57 Search stopped by max_proofs option.
% 3.37/3.57
% 3.37/3.57
% 3.37/3.57 Search stopped by max_proofs option.
% 3.37/3.57
% 3.37/3.57 ============ end of search ============
% 3.37/3.57
% 3.37/3.57 -------------- statistics -------------
% 3.37/3.57 clauses given 817
% 3.37/3.57 clauses generated 167839
% 3.37/3.57 clauses kept 1885
% 3.37/3.57 clauses forward subsumed 6167
% 3.37/3.57 clauses back subsumed 679
% 3.37/3.57 Kbytes malloced 5859
% 3.37/3.57
% 3.37/3.57 ----------- times (seconds) -----------
% 3.37/3.57 user CPU time 1.45 (0 hr, 0 min, 1 sec)
% 3.37/3.57 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.37/3.57 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.37/3.57
% 3.37/3.57 That finishes the proof of the theorem.
% 3.37/3.57
% 3.37/3.57 Process 22922 finished Wed Jul 27 09:33:38 2022
% 3.37/3.57 Otter interrupted
% 3.37/3.57 PROOF FOUND
%------------------------------------------------------------------------------