TSTP Solution File: NUM840+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% 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 13:10:04 EDT 2022
% Result : Theorem 2.80s 2.97s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 8 unt; 8 nHn; 16 RR)
% Number of literals : 40 ( 20 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ less(vd328,vd329),
file('NUM840+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ less(A,B)
| less(vplus(A,C),vplus(B,C)) ),
file('NUM840+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ less(A,B)
| greater(B,A) ),
file('NUM840+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ greater(A,B)
| less(B,A) ),
file('NUM840+1.p',unknown),
[] ).
cnf(22,axiom,
( A != B
| ~ less(A,B) ),
file('NUM840+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ greater(A,B)
| ~ less(A,B) ),
file('NUM840+1.p',unknown),
[] ).
cnf(32,axiom,
( A != vplus(B,C)
| B != vplus(A,D) ),
file('NUM840+1.p',unknown),
[] ).
cnf(40,plain,
vplus(A,B) != A,
inference(flip,[status(thm),theory(equality)],[inference(factor,[status(thm)],[32])]),
[iquote('factor,32.1.2,flip.1')] ).
cnf(42,axiom,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
file('NUM840+1.p',unknown),
[] ).
cnf(44,axiom,
( A = B
| greater(A,B)
| less(A,B) ),
file('NUM840+1.p',unknown),
[] ).
cnf(45,axiom,
( A = B
| A = vplus(B,dollar_f3(A,B))
| B = vplus(A,dollar_f4(A,B)) ),
file('NUM840+1.p',unknown),
[] ).
cnf(46,plain,
( A = B
| vplus(B,dollar_f3(A,B)) = A
| vplus(A,dollar_f4(A,B)) = B ),
inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[45])])]),
[iquote('copy,45,flip.2,flip.3')] ).
cnf(55,axiom,
vplus(vplus(A,B),C) = vplus(A,vplus(B,C)),
file('NUM840+1.p',unknown),
[] ).
cnf(82,plain,
greater(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(hyper,[status(thm)],[42,20]),
[iquote('hyper,42,20')] ).
cnf(164,plain,
( A = B
| greater(A,B)
| less(vplus(A,C),vplus(B,C)) ),
inference(hyper,[status(thm)],[44,5]),
[iquote('hyper,44,5')] ).
cnf(165,plain,
( vd329 = vd328
| greater(vd328,vd329) ),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[44,1])]),
[iquote('hyper,44,1,flip.1')] ).
cnf(277,plain,
( vplus(vd329,vplus(vd330,dollar_f3(vplus(vd328,vd330),vplus(vd329,vd330)))) = vplus(vd328,vd330)
| vplus(vd328,vplus(vd330,dollar_f4(vplus(vd328,vd330),vplus(vd329,vd330)))) = vplus(vd329,vd330) ),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[46,22,42]),55,55]),
[iquote('hyper,46,22,42,demod,55,55')] ).
cnf(397,plain,
( vd329 = vd328
| less(vd329,vd328) ),
inference(hyper,[status(thm)],[165,21]),
[iquote('hyper,165,21')] ).
cnf(573,plain,
vplus(A,vplus(B,C)) != vplus(A,B),
inference(para_from,[status(thm),theory(equality)],[55,40]),
[iquote('para_from,54.1.1,40.1.1')] ).
cnf(1699,plain,
( vd329 = vd328
| greater(vd329,vd328) ),
inference(hyper,[status(thm)],[164,23,82]),
[iquote('hyper,164,23,82')] ).
cnf(1706,plain,
vd329 = vd328,
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1699,23,397])]),
[iquote('hyper,1699,23,397,factor_simp')] ).
cnf(1874,plain,
$false,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[277]),1706,1706,1706,1706]),573,573]),
[iquote('back_demod,277,demod,1706,1706,1706,1706,unit_del,573,573')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 09:45:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.01/2.21 ----- Otter 3.3f, August 2004 -----
% 2.01/2.21 The process was started by sandbox on n013.cluster.edu,
% 2.01/2.21 Wed Jul 27 09:45:30 2022
% 2.01/2.21 The command was "./otter". The process ID is 17786.
% 2.01/2.21
% 2.01/2.21 set(prolog_style_variables).
% 2.01/2.21 set(auto).
% 2.01/2.21 dependent: set(auto1).
% 2.01/2.21 dependent: set(process_input).
% 2.01/2.21 dependent: clear(print_kept).
% 2.01/2.21 dependent: clear(print_new_demod).
% 2.01/2.21 dependent: clear(print_back_demod).
% 2.01/2.21 dependent: clear(print_back_sub).
% 2.01/2.21 dependent: set(control_memory).
% 2.01/2.21 dependent: assign(max_mem, 12000).
% 2.01/2.21 dependent: assign(pick_given_ratio, 4).
% 2.01/2.21 dependent: assign(stats_level, 1).
% 2.01/2.21 dependent: assign(max_seconds, 10800).
% 2.01/2.21 clear(print_given).
% 2.01/2.21
% 2.01/2.21 formula_list(usable).
% 2.01/2.21 all A (A=A).
% 2.01/2.21 -less(vd328,vd329).
% 2.01/2.21 less(vplus(vd328,vd330),vplus(vd329,vd330)).
% 2.01/2.21 vplus(vd328,vd330)=vplus(vd329,vd330)->vd328=vd329.
% 2.01/2.21 greater(vplus(vd328,vd330),vplus(vd329,vd330))->greater(vd328,vd329).
% 2.01/2.21 all Vd301 Vd302 Vd303 (less(Vd301,Vd302)->less(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 2.01/2.21 all Vd301 Vd302 Vd303 (Vd301=Vd302->vplus(Vd301,Vd303)=vplus(Vd302,Vd303)).
% 2.01/2.21 all Vd301 Vd302 Vd303 (greater(Vd301,Vd302)->greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 2.01/2.21 all Vd295 Vd296 greater(vplus(Vd295,Vd296),Vd295).
% 2.01/2.21 all Vd289 Vd290 Vd292 (le_q(Vd290,Vd292)&le_q(Vd289,Vd290)->le_q(Vd289,Vd292)).
% 2.01/2.21 all Vd281 Vd282 Vd283 (less(Vd282,Vd283)&le_q(Vd281,Vd282)|le_q(Vd282,Vd283)&less(Vd281,Vd282)->less(Vd281,Vd283)).
% 2.01/2.21 all Vd262 Vd263 Vd265 (less(Vd263,Vd265)&less(Vd262,Vd263)->less(Vd262,Vd265)).
% 2.01/2.21 all Vd258 Vd259 (le_q(Vd258,Vd259)->ge_q(Vd259,Vd258)).
% 2.01/2.21 all Vd254 Vd255 (ge_q(Vd254,Vd255)->le_q(Vd255,Vd254)).
% 2.01/2.21 all Vd249 Vd250 (le_q(Vd250,Vd249)<->less(Vd250,Vd249)|Vd250=Vd249).
% 2.01/2.21 all Vd244 Vd245 (ge_q(Vd245,Vd244)<->greater(Vd245,Vd244)|Vd245=Vd244).
% 2.01/2.21 all Vd226 Vd227 (less(Vd226,Vd227)->greater(Vd227,Vd226)).
% 2.01/2.21 all Vd208 Vd209 (greater(Vd208,Vd209)->less(Vd209,Vd208)).
% 2.01/2.21 all Vd203 Vd204 (Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204)).
% 2.01/2.21 all Vd203 Vd204 (Vd203!=Vd204| -less(Vd203,Vd204)).
% 2.01/2.21 all Vd203 Vd204 (-greater(Vd203,Vd204)| -less(Vd203,Vd204)).
% 2.01/2.21 all Vd203 Vd204 (Vd203!=Vd204| -greater(Vd203,Vd204)).
% 2.01/2.21 all Vd198 Vd199 (less(Vd199,Vd198)<-> (exists Vd201 (Vd198=vplus(Vd199,Vd201)))).
% 2.01/2.21 all Vd193 Vd194 (greater(Vd194,Vd193)<-> (exists Vd196 (Vd194=vplus(Vd193,Vd196)))).
% 2.01/2.21 all Vd120 Vd121 (Vd120=Vd121| (exists Vd123 (Vd120=vplus(Vd121,Vd123)))| (exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 2.01/2.21 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 2.01/2.21 all Vd120 Vd121 (-(exists Vd123 (Vd120=vplus(Vd121,Vd123)))| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 2.01/2.21 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd123 (Vd120=vplus(Vd121,Vd123)))).
% 2.01/2.21 all Vd104 Vd105 (Vd104!=Vd105-> (all Vd107 (vplus(Vd107,Vd104)!=vplus(Vd107,Vd105)))).
% 2.01/2.21 all Vd92 Vd93 (Vd93!=vplus(Vd92,Vd93)).
% 2.01/2.21 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 2.01/2.21 all Vd68 Vd69 (vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69))).
% 2.01/2.21 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 2.01/2.21 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 2.01/2.21 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 2.01/2.21 all Vd24 (Vd24!=v1->Vd24=vsucc(vskolem2(Vd24))).
% 2.01/2.21 all Vd16 (vsucc(Vd16)!=Vd16).
% 2.01/2.21 all Vd7 Vd8 (Vd7!=Vd8->vsucc(Vd7)!=vsucc(Vd8)).
% 2.01/2.21 all Vd3 Vd4 (vsucc(Vd3)=vsucc(Vd4)->Vd3=Vd4).
% 2.01/2.21 all Vd1 (vsucc(Vd1)!=v1).
% 2.01/2.21 end_of_list.
% 2.01/2.21
% 2.01/2.21 -------> usable clausifies to:
% 2.01/2.21
% 2.01/2.21 list(usable).
% 2.01/2.21 0 [] A=A.
% 2.01/2.21 0 [] -less(vd328,vd329).
% 2.01/2.21 0 [] less(vplus(vd328,vd330),vplus(vd329,vd330)).
% 2.01/2.21 0 [] vplus(vd328,vd330)!=vplus(vd329,vd330)|vd328=vd329.
% 2.01/2.21 0 [] -greater(vplus(vd328,vd330),vplus(vd329,vd330))|greater(vd328,vd329).
% 2.01/2.21 0 [] -less(Vd301,Vd302)|less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 2.01/2.21 0 [] Vd301!=Vd302|vplus(Vd301,Vd303)=vplus(Vd302,Vd303).
% 2.01/2.21 0 [] -greater(Vd301,Vd302)|greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 2.01/2.21 0 [] greater(vplus(Vd295,Vd296),Vd295).
% 2.01/2.21 0 [] -le_q(Vd290,Vd292)| -le_q(Vd289,Vd290)|le_q(Vd289,Vd292).
% 2.01/2.21 0 [] -less(Vd282,Vd283)| -le_q(Vd281,Vd282)|less(Vd281,Vd283).
% 2.01/2.21 0 [] -le_q(Vd282,Vd283)| -less(Vd281,Vd282)|less(Vd281,Vd283).
% 2.01/2.21 0 [] -less(Vd263,Vd265)| -less(Vd262,Vd263)|less(Vd262,Vd265).
% 2.01/2.21 0 [] -le_q(Vd258,Vd259)|ge_q(Vd259,Vd258).
% 2.01/2.21 0 [] -ge_q(Vd254,Vd255)|le_q(Vd255,Vd254).
% 2.01/2.21 0 [] -le_q(Vd250,Vd249)|less(Vd250,Vd249)|Vd250=Vd249.
% 2.01/2.21 0 [] le_q(Vd250,Vd249)| -less(Vd250,Vd249).
% 2.01/2.21 0 [] le_q(Vd250,Vd249)|Vd250!=Vd249.
% 2.01/2.21 0 [] -ge_q(Vd245,Vd244)|greater(Vd245,Vd244)|Vd245=Vd244.
% 2.01/2.21 0 [] ge_q(Vd245,Vd244)| -greater(Vd245,Vd244).
% 2.01/2.21 0 [] ge_q(Vd245,Vd244)|Vd245!=Vd244.
% 2.01/2.21 0 [] -less(Vd226,Vd227)|greater(Vd227,Vd226).
% 2.01/2.21 0 [] -greater(Vd208,Vd209)|less(Vd209,Vd208).
% 2.01/2.21 0 [] Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204).
% 2.01/2.21 0 [] Vd203!=Vd204| -less(Vd203,Vd204).
% 2.01/2.21 0 [] -greater(Vd203,Vd204)| -less(Vd203,Vd204).
% 2.01/2.21 0 [] Vd203!=Vd204| -greater(Vd203,Vd204).
% 2.01/2.21 0 [] -less(Vd199,Vd198)|Vd198=vplus(Vd199,$f1(Vd198,Vd199)).
% 2.01/2.21 0 [] less(Vd199,Vd198)|Vd198!=vplus(Vd199,Vd201).
% 2.01/2.21 0 [] -greater(Vd194,Vd193)|Vd194=vplus(Vd193,$f2(Vd193,Vd194)).
% 2.01/2.21 0 [] greater(Vd194,Vd193)|Vd194!=vplus(Vd193,Vd196).
% 2.01/2.21 0 [] Vd120=Vd121|Vd120=vplus(Vd121,$f3(Vd120,Vd121))|Vd121=vplus(Vd120,$f4(Vd120,Vd121)).
% 2.01/2.21 0 [] Vd120!=Vd121|Vd121!=vplus(Vd120,Vd125).
% 2.01/2.21 0 [] Vd120!=vplus(Vd121,Vd123)|Vd121!=vplus(Vd120,Vd125).
% 2.01/2.21 0 [] Vd120!=Vd121|Vd120!=vplus(Vd121,Vd123).
% 2.01/2.21 0 [] Vd104=Vd105|vplus(Vd107,Vd104)!=vplus(Vd107,Vd105).
% 2.01/2.21 0 [] Vd93!=vplus(Vd92,Vd93).
% 2.01/2.21 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 2.01/2.21 0 [] vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69)).
% 2.01/2.21 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 2.01/2.21 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 2.01/2.21 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 2.01/2.21 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 2.01/2.21 0 [] Vd24=v1|Vd24=vsucc(vskolem2(Vd24)).
% 2.01/2.21 0 [] vsucc(Vd16)!=Vd16.
% 2.01/2.21 0 [] Vd7=Vd8|vsucc(Vd7)!=vsucc(Vd8).
% 2.01/2.21 0 [] vsucc(Vd3)!=vsucc(Vd4)|Vd3=Vd4.
% 2.01/2.21 0 [] vsucc(Vd1)!=v1.
% 2.01/2.21 end_of_list.
% 2.01/2.21
% 2.01/2.21 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 2.01/2.21
% 2.01/2.21 This ia a non-Horn set with equality. The strategy will be
% 2.01/2.21 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.01/2.21 deletion, with positive clauses in sos and nonpositive
% 2.01/2.21 clauses in usable.
% 2.01/2.21
% 2.01/2.21 dependent: set(knuth_bendix).
% 2.01/2.21 dependent: set(anl_eq).
% 2.01/2.21 dependent: set(para_from).
% 2.01/2.21 dependent: set(para_into).
% 2.01/2.21 dependent: clear(para_from_right).
% 2.01/2.21 dependent: clear(para_into_right).
% 2.01/2.21 dependent: set(para_from_vars).
% 2.01/2.21 dependent: set(eq_units_both_ways).
% 2.01/2.21 dependent: set(dynamic_demod_all).
% 2.01/2.21 dependent: set(dynamic_demod).
% 2.01/2.21 dependent: set(order_eq).
% 2.01/2.21 dependent: set(back_demod).
% 2.01/2.21 dependent: set(lrpo).
% 2.01/2.21 dependent: set(hyper_res).
% 2.01/2.21 dependent: set(unit_deletion).
% 2.01/2.21 dependent: set(factor).
% 2.01/2.21
% 2.01/2.21 ------------> process usable:
% 2.01/2.21 ** KEPT (pick-wt=3): 1 [] -less(vd328,vd329).
% 2.01/2.21 ** KEPT (pick-wt=10): 3 [copy,2,flip.1,flip.2] vplus(vd329,vd330)!=vplus(vd328,vd330)|vd329=vd328.
% 2.01/2.21 ** KEPT (pick-wt=10): 4 [] -greater(vplus(vd328,vd330),vplus(vd329,vd330))|greater(vd328,vd329).
% 2.01/2.21 ** KEPT (pick-wt=10): 5 [] -less(A,B)|less(vplus(A,C),vplus(B,C)).
% 2.01/2.21 ** KEPT (pick-wt=10): 6 [] A!=B|vplus(A,C)=vplus(B,C).
% 2.01/2.21 ** KEPT (pick-wt=10): 7 [] -greater(A,B)|greater(vplus(A,C),vplus(B,C)).
% 2.01/2.21 ** KEPT (pick-wt=9): 8 [] -le_q(A,B)| -le_q(C,A)|le_q(C,B).
% 2.01/2.21 ** KEPT (pick-wt=9): 9 [] -less(A,B)| -le_q(C,A)|less(C,B).
% 2.01/2.21 ** KEPT (pick-wt=9): 10 [] -le_q(A,B)| -less(C,A)|less(C,B).
% 2.01/2.21 ** KEPT (pick-wt=9): 11 [] -less(A,B)| -less(C,A)|less(C,B).
% 2.01/2.21 ** KEPT (pick-wt=6): 12 [] -le_q(A,B)|ge_q(B,A).
% 2.01/2.21 ** KEPT (pick-wt=6): 13 [] -ge_q(A,B)|le_q(B,A).
% 2.01/2.21 ** KEPT (pick-wt=9): 14 [] -le_q(A,B)|less(A,B)|A=B.
% 2.01/2.21 ** KEPT (pick-wt=6): 15 [] le_q(A,B)| -less(A,B).
% 2.01/2.21 ** KEPT (pick-wt=6): 16 [] le_q(A,B)|A!=B.
% 2.01/2.21 ** KEPT (pick-wt=9): 17 [] -ge_q(A,B)|greater(A,B)|A=B.
% 2.01/2.21 ** KEPT (pick-wt=6): 18 [] ge_q(A,B)| -greater(A,B).
% 2.01/2.21 ** KEPT (pick-wt=6): 19 [] ge_q(A,B)|A!=B.
% 2.01/2.21 ** KEPT (pick-wt=6): 20 [] -less(A,B)|greater(B,A).
% 2.01/2.21 ** KEPT (pick-wt=6): 21 [] -greater(A,B)|less(B,A).
% 2.01/2.21 ** KEPT (pick-wt=6): 22 [] A!=B| -less(A,B).
% 2.01/2.21 ** KEPT (pick-wt=6): 23 [] -greater(A,B)| -less(A,B).
% 2.01/2.21 ** KEPT (pick-wt=6): 24 [] A!=B| -greater(A,B).
% 2.01/2.21 ** KEPT (pick-wt=10): 26 [copy,25,flip.2] -less(A,B)|vplus(A,$f1(B,A))=B.
% 2.01/2.21 ** KEPT (pick-wt=8): 27 [] less(A,B)|B!=vplus(A,C).
% 2.01/2.21 ** KEPT (pick-wt=10): 29 [copy,28,flip.2] -greater(A,B)|vplus(B,$f2(B,A))=A.
% 2.01/2.21 ** KEPT (pick-wt=8): 30 [] greater(A,B)|A!=vplus(B,C).
% 2.01/2.21 ** KEPT (pick-wt=8): 31 [] A!=B|B!=vplus(A,C).
% 2.01/2.21 ** KEPT (pick-wt=10): 32 [] A!=vplus(B,C)|B!=vplus(A,D).
% 2.01/2.21 ** KEPT (pick-wt=8): 33 [] A!=B|A!=vplus(B,C).
% 2.80/2.97 ** KEPT (pick-wt=10): 34 [] A=B|vplus(C,A)!=vplus(C,B).
% 2.80/2.97 ** KEPT (pick-wt=5): 36 [copy,35,flip.1] vplus(A,B)!=B.
% 2.80/2.97 ** KEPT (pick-wt=4): 37 [] vsucc(A)!=A.
% 2.80/2.97 ** KEPT (pick-wt=8): 38 [] A=B|vsucc(A)!=vsucc(B).
% 2.80/2.97 Following clause subsumed by 38 during input processing: 0 [] vsucc(A)!=vsucc(B)|A=B.
% 2.80/2.97 ** KEPT (pick-wt=4): 39 [] vsucc(A)!=v1.
% 2.80/2.97
% 2.80/2.97 ------------> process sos:
% 2.80/2.97 ** KEPT (pick-wt=3): 41 [] A=A.
% 2.80/2.97 ** KEPT (pick-wt=7): 42 [] less(vplus(vd328,vd330),vplus(vd329,vd330)).
% 2.80/2.97 ** KEPT (pick-wt=5): 43 [] greater(vplus(A,B),A).
% 2.80/2.97 ** KEPT (pick-wt=9): 44 [] A=B|greater(A,B)|less(A,B).
% 2.80/2.97 ** KEPT (pick-wt=17): 46 [copy,45,flip.2,flip.3] A=B|vplus(B,$f3(A,B))=A|vplus(A,$f4(A,B))=B.
% 2.80/2.97 ** KEPT (pick-wt=7): 47 [] vplus(A,B)=vplus(B,A).
% 2.80/2.97 ** KEPT (pick-wt=9): 49 [copy,48,flip.1] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 2.80/2.97 ---> New Demodulator: 50 [new_demod,49] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 2.80/2.97 ** KEPT (pick-wt=6): 52 [copy,51,flip.1] vsucc(A)=vplus(v1,A).
% 2.80/2.97 ---> New Demodulator: 53 [new_demod,52] vsucc(A)=vplus(v1,A).
% 2.80/2.97 ** KEPT (pick-wt=11): 54 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 2.80/2.97 ---> New Demodulator: 55 [new_demod,54] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 2.80/2.97 ** KEPT (pick-wt=11): 57 [copy,56,demod,53,53] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 2.80/2.97 Following clause subsumed by 47 during input processing: 0 [demod,53] vplus(A,v1)=vplus(v1,A).
% 2.80/2.97 ** KEPT (pick-wt=9): 59 [copy,58,demod,53,flip.2] A=v1|vplus(v1,vskolem2(A))=A.
% 2.80/2.97 Following clause subsumed by 41 during input processing: 0 [copy,41,flip.1] A=A.
% 2.80/2.97 Following clause subsumed by 47 during input processing: 0 [copy,47,flip.1] vplus(A,B)=vplus(B,A).
% 2.80/2.97 >>>> Starting back demodulation with 50.
% 2.80/2.97 >>>> Starting back demodulation with 53.
% 2.80/2.97 >> back demodulating 49 with 53.
% 2.80/2.97 >> back demodulating 39 with 53.
% 2.80/2.97 >> back demodulating 38 with 53.
% 2.80/2.97 >> back demodulating 37 with 53.
% 2.80/2.97 >>>> Starting back demodulation with 55.
% 2.80/2.97 ** KEPT (pick-wt=11): 60 [copy,57,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 2.80/2.97 Following clause subsumed by 57 during input processing: 0 [copy,60,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 2.80/2.97
% 2.80/2.97 ======= end of input processing =======
% 2.80/2.97
% 2.80/2.97 =========== start of search ===========
% 2.80/2.97
% 2.80/2.97
% 2.80/2.97 Resetting weight limit to 8.
% 2.80/2.97
% 2.80/2.97
% 2.80/2.97 Resetting weight limit to 8.
% 2.80/2.97
% 2.80/2.97 sos_size=792
% 2.80/2.97
% 2.80/2.97 -------- PROOF --------
% 2.80/2.97
% 2.80/2.97 -----> EMPTY CLAUSE at 0.77 sec ----> 1874 [back_demod,277,demod,1706,1706,1706,1706,unit_del,573,573] $F.
% 2.80/2.97
% 2.80/2.97 Length of proof is 10. Level of proof is 3.
% 2.80/2.97
% 2.80/2.97 ---------------- PROOF ----------------
% 2.80/2.97 % SZS status Theorem
% 2.80/2.97 % SZS output start Refutation
% See solution above
% 2.80/2.97 ------------ end of proof -------------
% 2.80/2.97
% 2.80/2.97
% 2.80/2.97 Search stopped by max_proofs option.
% 2.80/2.97
% 2.80/2.97
% 2.80/2.97 Search stopped by max_proofs option.
% 2.80/2.97
% 2.80/2.97 ============ end of search ============
% 2.80/2.97
% 2.80/2.97 -------------- statistics -------------
% 2.80/2.97 clauses given 437
% 2.80/2.97 clauses generated 80888
% 2.80/2.97 clauses kept 1837
% 2.80/2.97 clauses forward subsumed 4327
% 2.80/2.97 clauses back subsumed 149
% 2.80/2.97 Kbytes malloced 5859
% 2.80/2.97
% 2.80/2.97 ----------- times (seconds) -----------
% 2.80/2.97 user CPU time 0.77 (0 hr, 0 min, 0 sec)
% 2.80/2.97 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.80/2.97 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.80/2.97
% 2.80/2.97 That finishes the proof of the theorem.
% 2.80/2.97
% 2.80/2.97 Process 17786 finished Wed Jul 27 09:45:32 2022
% 2.80/2.97 Otter interrupted
% 2.80/2.97 PROOF FOUND
%------------------------------------------------------------------------------