TSTP Solution File: NUM851+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 13:10:06 EDT 2022
% Result : Theorem 1.92s 2.08s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 10 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
file('NUM851+1.p',unknown),
[] ).
cnf(2,plain,
vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vplus(vd471,vd473),vd469),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(54,axiom,
vd470 = vplus(vd471,vd473),
file('NUM851+1.p',unknown),
[] ).
cnf(56,plain,
vplus(vd471,vd473) = vd470,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[54])]),
[iquote('copy,54,flip.1')] ).
cnf(60,axiom,
vmul(A,vplus(B,C)) = vplus(vmul(A,B),vmul(A,C)),
file('NUM851+1.p',unknown),
[] ).
cnf(61,plain,
vplus(vmul(A,B),vmul(A,C)) = vmul(A,vplus(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[60])]),
[iquote('copy,60,flip.1')] ).
cnf(63,axiom,
vmul(A,B) = vmul(B,A),
file('NUM851+1.p',unknown),
[] ).
cnf(88,plain,
vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vd470,vd469),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2]),56]),
[iquote('back_demod,2,demod,56')] ).
cnf(337,plain,
vplus(vmul(A,B),vmul(C,A)) = vmul(A,vplus(B,C)),
inference(para_from,[status(thm),theory(equality)],[63,61]),
[iquote('para_from,63.1.1,61.1.1.2')] ).
cnf(1279,plain,
vmul(vd470,vd469) != vmul(vd469,vd470),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[88,63]),337,56])]),
[iquote('para_into,88.1.1.1,63.1.1,demod,337,56,flip.1')] ).
cnf(1280,plain,
$false,
inference(binary,[status(thm)],[1279,63]),
[iquote('binary,1279.1,63.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 10:00:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.81/1.98 ----- Otter 3.3f, August 2004 -----
% 1.81/1.98 The process was started by sandbox on n018.cluster.edu,
% 1.81/1.98 Wed Jul 27 10:00:31 2022
% 1.81/1.98 The command was "./otter". The process ID is 5144.
% 1.81/1.98
% 1.81/1.98 set(prolog_style_variables).
% 1.81/1.98 set(auto).
% 1.81/1.98 dependent: set(auto1).
% 1.81/1.98 dependent: set(process_input).
% 1.81/1.98 dependent: clear(print_kept).
% 1.81/1.98 dependent: clear(print_new_demod).
% 1.81/1.98 dependent: clear(print_back_demod).
% 1.81/1.98 dependent: clear(print_back_sub).
% 1.81/1.98 dependent: set(control_memory).
% 1.81/1.98 dependent: assign(max_mem, 12000).
% 1.81/1.98 dependent: assign(pick_given_ratio, 4).
% 1.81/1.98 dependent: assign(stats_level, 1).
% 1.81/1.98 dependent: assign(max_seconds, 10800).
% 1.81/1.98 clear(print_given).
% 1.81/1.98
% 1.81/1.98 formula_list(usable).
% 1.81/1.98 all A (A=A).
% 1.81/1.98 vmul(vplus(vd471,vd473),vd469)!=vplus(vmul(vd471,vd469),vmul(vd473,vd469)).
% 1.81/1.98 vmul(vd470,vd469)=vmul(vplus(vd471,vd473),vd469).
% 1.81/1.98 vd470=vplus(vd471,vd473).
% 1.81/1.98 greater(vd470,vd471).
% 1.81/1.98 all Vd444 Vd445 Vd446 (vmul(vmul(Vd444,Vd445),Vd446)=vmul(Vd444,vmul(Vd445,Vd446))).
% 1.81/1.98 all Vd432 Vd433 Vd434 (vmul(Vd432,vplus(Vd433,Vd434))=vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434))).
% 1.81/1.98 all Vd418 Vd419 (vmul(Vd418,Vd419)=vmul(Vd419,Vd418)).
% 1.81/1.98 all Vd408 Vd409 (vmul(vsucc(Vd408),Vd409)=vplus(vmul(Vd408,Vd409),Vd409)).
% 1.81/1.98 all Vd400 (vmul(v1,Vd400)=Vd400).
% 1.81/1.98 all Vd396 Vd397 (vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396)&vmul(Vd396,v1)=Vd396).
% 1.81/1.98 all Vd386 Vd387 (less(Vd386,vplus(Vd387,v1))->le_q(Vd386,Vd387)).
% 1.81/1.98 all Vd375 Vd376 (greater(Vd375,Vd376)->ge_q(Vd375,vplus(Vd376,v1))).
% 1.81/1.98 all Vd369 ge_q(Vd369,v1).
% 1.81/1.98 all Vd362 Vd363 Vd365 Vd366 (ge_q(Vd365,Vd366)&ge_q(Vd362,Vd363)->ge_q(vplus(Vd362,Vd365),vplus(Vd363,Vd366))).
% 1.81/1.98 all Vd353 Vd354 Vd355 Vd356 (greater(Vd355,Vd356)&ge_q(Vd353,Vd354)|ge_q(Vd355,Vd356)&greater(Vd353,Vd354)->greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356))).
% 1.81/1.98 all Vd337 Vd338 Vd340 Vd341 (greater(Vd340,Vd341)&greater(Vd337,Vd338)->greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341))).
% 1.81/1.98 all Vd328 Vd329 Vd330 (less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))->less(Vd328,Vd329)).
% 1.81/1.98 all Vd328 Vd329 Vd330 (vplus(Vd328,Vd330)=vplus(Vd329,Vd330)->Vd328=Vd329).
% 1.81/1.98 all Vd328 Vd329 Vd330 (greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))->greater(Vd328,Vd329)).
% 1.81/1.98 all Vd301 Vd302 Vd303 (less(Vd301,Vd302)->less(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 1.81/1.98 all Vd301 Vd302 Vd303 (Vd301=Vd302->vplus(Vd301,Vd303)=vplus(Vd302,Vd303)).
% 1.81/1.98 all Vd301 Vd302 Vd303 (greater(Vd301,Vd302)->greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 1.81/1.98 all Vd295 Vd296 greater(vplus(Vd295,Vd296),Vd295).
% 1.81/1.98 all Vd289 Vd290 Vd292 (le_q(Vd290,Vd292)&le_q(Vd289,Vd290)->le_q(Vd289,Vd292)).
% 1.81/1.98 all Vd281 Vd282 Vd283 (less(Vd282,Vd283)&le_q(Vd281,Vd282)|le_q(Vd282,Vd283)&less(Vd281,Vd282)->less(Vd281,Vd283)).
% 1.81/1.98 all Vd262 Vd263 Vd265 (less(Vd263,Vd265)&less(Vd262,Vd263)->less(Vd262,Vd265)).
% 1.81/1.98 all Vd258 Vd259 (le_q(Vd258,Vd259)->ge_q(Vd259,Vd258)).
% 1.81/1.98 all Vd254 Vd255 (ge_q(Vd254,Vd255)->le_q(Vd255,Vd254)).
% 1.81/1.98 all Vd249 Vd250 (le_q(Vd250,Vd249)<->less(Vd250,Vd249)|Vd250=Vd249).
% 1.81/1.98 all Vd244 Vd245 (ge_q(Vd245,Vd244)<->greater(Vd245,Vd244)|Vd245=Vd244).
% 1.81/1.98 all Vd226 Vd227 (less(Vd226,Vd227)->greater(Vd227,Vd226)).
% 1.81/1.98 all Vd208 Vd209 (greater(Vd208,Vd209)->less(Vd209,Vd208)).
% 1.81/1.98 all Vd203 Vd204 (Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204)).
% 1.81/1.98 all Vd203 Vd204 (Vd203!=Vd204| -less(Vd203,Vd204)).
% 1.81/1.98 all Vd203 Vd204 (-greater(Vd203,Vd204)| -less(Vd203,Vd204)).
% 1.81/1.98 all Vd203 Vd204 (Vd203!=Vd204| -greater(Vd203,Vd204)).
% 1.81/1.98 all Vd198 Vd199 (less(Vd199,Vd198)<-> (exists Vd201 (Vd198=vplus(Vd199,Vd201)))).
% 1.81/1.98 all Vd193 Vd194 (greater(Vd194,Vd193)<-> (exists Vd196 (Vd194=vplus(Vd193,Vd196)))).
% 1.81/1.98 all Vd120 Vd121 (Vd120=Vd121| (exists Vd123 (Vd120=vplus(Vd121,Vd123)))| (exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.81/1.98 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.81/1.98 all Vd120 Vd121 (-(exists Vd123 (Vd120=vplus(Vd121,Vd123)))| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.81/1.98 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd123 (Vd120=vplus(Vd121,Vd123)))).
% 1.81/1.98 all Vd104 Vd105 (Vd104!=Vd105-> (all Vd107 (vplus(Vd107,Vd104)!=vplus(Vd107,Vd105)))).
% 1.81/1.98 all Vd92 Vd93 (Vd93!=vplus(Vd92,Vd93)).
% 1.81/1.98 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 1.81/1.98 all Vd68 Vd69 (vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69))).
% 1.81/1.98 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 1.81/1.98 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 1.81/1.98 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 1.81/1.98 all Vd24 (Vd24!=v1->Vd24=vsucc(vskolem2(Vd24))).
% 1.81/1.98 all Vd16 (vsucc(Vd16)!=Vd16).
% 1.81/1.98 all Vd7 Vd8 (Vd7!=Vd8->vsucc(Vd7)!=vsucc(Vd8)).
% 1.81/1.98 all Vd3 Vd4 (vsucc(Vd3)=vsucc(Vd4)->Vd3=Vd4).
% 1.81/1.98 all Vd1 (vsucc(Vd1)!=v1).
% 1.81/1.98 end_of_list.
% 1.81/1.98
% 1.81/1.98 -------> usable clausifies to:
% 1.81/1.98
% 1.81/1.98 list(usable).
% 1.81/1.98 0 [] A=A.
% 1.81/1.98 0 [] vmul(vplus(vd471,vd473),vd469)!=vplus(vmul(vd471,vd469),vmul(vd473,vd469)).
% 1.81/1.98 0 [] vmul(vd470,vd469)=vmul(vplus(vd471,vd473),vd469).
% 1.81/1.98 0 [] vd470=vplus(vd471,vd473).
% 1.81/1.98 0 [] greater(vd470,vd471).
% 1.81/1.98 0 [] vmul(vmul(Vd444,Vd445),Vd446)=vmul(Vd444,vmul(Vd445,Vd446)).
% 1.81/1.98 0 [] vmul(Vd432,vplus(Vd433,Vd434))=vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)).
% 1.81/1.98 0 [] vmul(Vd418,Vd419)=vmul(Vd419,Vd418).
% 1.81/1.98 0 [] vmul(vsucc(Vd408),Vd409)=vplus(vmul(Vd408,Vd409),Vd409).
% 1.81/1.98 0 [] vmul(v1,Vd400)=Vd400.
% 1.81/1.98 0 [] vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396).
% 1.81/1.98 0 [] vmul(Vd396,v1)=Vd396.
% 1.81/1.98 0 [] -less(Vd386,vplus(Vd387,v1))|le_q(Vd386,Vd387).
% 1.81/1.98 0 [] -greater(Vd375,Vd376)|ge_q(Vd375,vplus(Vd376,v1)).
% 1.81/1.98 0 [] ge_q(Vd369,v1).
% 1.81/1.98 0 [] -ge_q(Vd365,Vd366)| -ge_q(Vd362,Vd363)|ge_q(vplus(Vd362,Vd365),vplus(Vd363,Vd366)).
% 1.81/1.98 0 [] -greater(Vd355,Vd356)| -ge_q(Vd353,Vd354)|greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356)).
% 1.81/1.98 0 [] -ge_q(Vd355,Vd356)| -greater(Vd353,Vd354)|greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356)).
% 1.81/1.98 0 [] -greater(Vd340,Vd341)| -greater(Vd337,Vd338)|greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)).
% 1.81/1.98 0 [] -less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|less(Vd328,Vd329).
% 1.81/1.98 0 [] vplus(Vd328,Vd330)!=vplus(Vd329,Vd330)|Vd328=Vd329.
% 1.81/1.98 0 [] -greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|greater(Vd328,Vd329).
% 1.81/1.98 0 [] -less(Vd301,Vd302)|less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 1.81/1.98 0 [] Vd301!=Vd302|vplus(Vd301,Vd303)=vplus(Vd302,Vd303).
% 1.81/1.98 0 [] -greater(Vd301,Vd302)|greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 1.81/1.98 0 [] greater(vplus(Vd295,Vd296),Vd295).
% 1.81/1.98 0 [] -le_q(Vd290,Vd292)| -le_q(Vd289,Vd290)|le_q(Vd289,Vd292).
% 1.81/1.98 0 [] -less(Vd282,Vd283)| -le_q(Vd281,Vd282)|less(Vd281,Vd283).
% 1.81/1.98 0 [] -le_q(Vd282,Vd283)| -less(Vd281,Vd282)|less(Vd281,Vd283).
% 1.81/1.98 0 [] -less(Vd263,Vd265)| -less(Vd262,Vd263)|less(Vd262,Vd265).
% 1.81/1.98 0 [] -le_q(Vd258,Vd259)|ge_q(Vd259,Vd258).
% 1.81/1.98 0 [] -ge_q(Vd254,Vd255)|le_q(Vd255,Vd254).
% 1.81/1.98 0 [] -le_q(Vd250,Vd249)|less(Vd250,Vd249)|Vd250=Vd249.
% 1.81/1.98 0 [] le_q(Vd250,Vd249)| -less(Vd250,Vd249).
% 1.81/1.98 0 [] le_q(Vd250,Vd249)|Vd250!=Vd249.
% 1.81/1.98 0 [] -ge_q(Vd245,Vd244)|greater(Vd245,Vd244)|Vd245=Vd244.
% 1.81/1.98 0 [] ge_q(Vd245,Vd244)| -greater(Vd245,Vd244).
% 1.81/1.98 0 [] ge_q(Vd245,Vd244)|Vd245!=Vd244.
% 1.81/1.98 0 [] -less(Vd226,Vd227)|greater(Vd227,Vd226).
% 1.81/1.98 0 [] -greater(Vd208,Vd209)|less(Vd209,Vd208).
% 1.81/1.98 0 [] Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204).
% 1.81/1.98 0 [] Vd203!=Vd204| -less(Vd203,Vd204).
% 1.81/1.98 0 [] -greater(Vd203,Vd204)| -less(Vd203,Vd204).
% 1.81/1.98 0 [] Vd203!=Vd204| -greater(Vd203,Vd204).
% 1.81/1.98 0 [] -less(Vd199,Vd198)|Vd198=vplus(Vd199,$f1(Vd198,Vd199)).
% 1.81/1.98 0 [] less(Vd199,Vd198)|Vd198!=vplus(Vd199,Vd201).
% 1.81/1.98 0 [] -greater(Vd194,Vd193)|Vd194=vplus(Vd193,$f2(Vd193,Vd194)).
% 1.81/1.98 0 [] greater(Vd194,Vd193)|Vd194!=vplus(Vd193,Vd196).
% 1.81/1.98 0 [] Vd120=Vd121|Vd120=vplus(Vd121,$f3(Vd120,Vd121))|Vd121=vplus(Vd120,$f4(Vd120,Vd121)).
% 1.81/1.98 0 [] Vd120!=Vd121|Vd121!=vplus(Vd120,Vd125).
% 1.81/1.98 0 [] Vd120!=vplus(Vd121,Vd123)|Vd121!=vplus(Vd120,Vd125).
% 1.81/1.98 0 [] Vd120!=Vd121|Vd120!=vplus(Vd121,Vd123).
% 1.81/1.98 0 [] Vd104=Vd105|vplus(Vd107,Vd104)!=vplus(Vd107,Vd105).
% 1.81/1.98 0 [] Vd93!=vplus(Vd92,Vd93).
% 1.81/1.98 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 1.81/1.98 0 [] vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69)).
% 1.81/1.98 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 1.81/1.98 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 1.81/1.98 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 1.81/1.98 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 1.81/1.98 0 [] Vd24=v1|Vd24=vsucc(vskolem2(Vd24)).
% 1.81/1.98 0 [] vsucc(Vd16)!=Vd16.
% 1.81/1.98 0 [] Vd7=Vd8|vsucc(Vd7)!=vsucc(Vd8).
% 1.81/1.98 0 [] vsucc(Vd3)!=vsucc(Vd4)|Vd3=Vd4.
% 1.81/1.98 0 [] vsucc(Vd1)!=v1.
% 1.81/1.98 end_of_list.
% 1.81/1.98
% 1.81/1.98 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.81/1.98
% 1.81/1.98 This ia a non-Horn set with equality. The strategy will be
% 1.81/1.98 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.81/1.98 deletion, with positive clauses in sos and nonpositive
% 1.81/1.98 clauses in usable.
% 1.81/1.98
% 1.81/1.98 dependent: set(knuth_bendix).
% 1.81/1.98 dependent: set(anl_eq).
% 1.81/1.98 dependent: set(para_from).
% 1.81/1.98 dependent: set(para_into).
% 1.81/1.98 dependent: clear(para_from_right).
% 1.81/1.98 dependent: clear(para_into_right).
% 1.81/1.98 dependent: set(para_from_vars).
% 1.81/1.98 dependent: set(eq_units_both_ways).
% 1.81/1.98 dependent: set(dynamic_demod_all).
% 1.81/1.98 dependent: set(dynamic_demod).
% 1.81/1.98 dependent: set(order_eq).
% 1.81/1.98 dependent: set(back_demod).
% 1.81/1.98 dependent: set(lrpo).
% 1.81/1.98 dependent: set(hyper_res).
% 1.81/1.98 dependent: set(unit_deletion).
% 1.81/1.98 dependent: set(factor).
% 1.81/1.98
% 1.81/1.98 ------------> process usable:
% 1.81/1.98 ** KEPT (pick-wt=13): 2 [copy,1,flip.1] vplus(vmul(vd471,vd469),vmul(vd473,vd469))!=vmul(vplus(vd471,vd473),vd469).
% 1.81/1.98 ** KEPT (pick-wt=8): 3 [] -less(A,vplus(B,v1))|le_q(A,B).
% 1.81/1.98 ** KEPT (pick-wt=8): 4 [] -greater(A,B)|ge_q(A,vplus(B,v1)).
% 1.81/1.98 ** KEPT (pick-wt=13): 5 [] -ge_q(A,B)| -ge_q(C,D)|ge_q(vplus(C,A),vplus(D,B)).
% 1.81/1.98 ** KEPT (pick-wt=13): 6 [] -greater(A,B)| -ge_q(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.81/1.98 ** KEPT (pick-wt=13): 7 [] -ge_q(A,B)| -greater(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.81/1.98 ** KEPT (pick-wt=13): 8 [] -greater(A,B)| -greater(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.81/1.98 ** KEPT (pick-wt=10): 9 [] -less(vplus(A,B),vplus(C,B))|less(A,C).
% 1.81/1.98 ** KEPT (pick-wt=10): 10 [] vplus(A,B)!=vplus(C,B)|A=C.
% 1.81/1.98 ** KEPT (pick-wt=10): 11 [] -greater(vplus(A,B),vplus(C,B))|greater(A,C).
% 1.81/1.98 ** KEPT (pick-wt=10): 12 [] -less(A,B)|less(vplus(A,C),vplus(B,C)).
% 1.81/1.98 ** KEPT (pick-wt=10): 13 [] A!=B|vplus(A,C)=vplus(B,C).
% 1.81/1.98 ** KEPT (pick-wt=10): 14 [] -greater(A,B)|greater(vplus(A,C),vplus(B,C)).
% 1.81/1.98 ** KEPT (pick-wt=9): 15 [] -le_q(A,B)| -le_q(C,A)|le_q(C,B).
% 1.81/1.98 ** KEPT (pick-wt=9): 16 [] -less(A,B)| -le_q(C,A)|less(C,B).
% 1.81/1.98 ** KEPT (pick-wt=9): 17 [] -le_q(A,B)| -less(C,A)|less(C,B).
% 1.81/1.98 ** KEPT (pick-wt=9): 18 [] -less(A,B)| -less(C,A)|less(C,B).
% 1.81/1.98 ** KEPT (pick-wt=6): 19 [] -le_q(A,B)|ge_q(B,A).
% 1.81/1.98 ** KEPT (pick-wt=6): 20 [] -ge_q(A,B)|le_q(B,A).
% 1.81/1.98 ** KEPT (pick-wt=9): 21 [] -le_q(A,B)|less(A,B)|A=B.
% 1.81/1.98 ** KEPT (pick-wt=6): 22 [] le_q(A,B)| -less(A,B).
% 1.81/1.98 ** KEPT (pick-wt=6): 23 [] le_q(A,B)|A!=B.
% 1.81/1.98 ** KEPT (pick-wt=9): 24 [] -ge_q(A,B)|greater(A,B)|A=B.
% 1.81/1.98 ** KEPT (pick-wt=6): 25 [] ge_q(A,B)| -greater(A,B).
% 1.81/1.98 ** KEPT (pick-wt=6): 26 [] ge_q(A,B)|A!=B.
% 1.81/1.98 ** KEPT (pick-wt=6): 27 [] -less(A,B)|greater(B,A).
% 1.81/1.98 ** KEPT (pick-wt=6): 28 [] -greater(A,B)|less(B,A).
% 1.81/1.98 ** KEPT (pick-wt=6): 29 [] A!=B| -less(A,B).
% 1.81/1.98 ** KEPT (pick-wt=6): 30 [] -greater(A,B)| -less(A,B).
% 1.81/1.98 ** KEPT (pick-wt=6): 31 [] A!=B| -greater(A,B).
% 1.81/1.98 ** KEPT (pick-wt=10): 33 [copy,32,flip.2] -less(A,B)|vplus(A,$f1(B,A))=B.
% 1.81/1.98 ** KEPT (pick-wt=8): 34 [] less(A,B)|B!=vplus(A,C).
% 1.81/1.98 ** KEPT (pick-wt=10): 36 [copy,35,flip.2] -greater(A,B)|vplus(B,$f2(B,A))=A.
% 1.81/1.98 ** KEPT (pick-wt=8): 37 [] greater(A,B)|A!=vplus(B,C).
% 1.81/1.98 ** KEPT (pick-wt=8): 38 [] A!=B|B!=vplus(A,C).
% 1.81/1.98 ** KEPT (pick-wt=10): 39 [] A!=vplus(B,C)|B!=vplus(A,D).
% 1.81/1.98 ** KEPT (pick-wt=8): 40 [] A!=B|A!=vplus(B,C).
% 1.81/1.98 ** KEPT (pick-wt=10): 41 [] A=B|vplus(C,A)!=vplus(C,B).
% 1.81/1.98 ** KEPT (pick-wt=5): 43 [copy,42,flip.1] vplus(A,B)!=B.
% 1.81/1.98 ** KEPT (pick-wt=4): 44 [] vsucc(A)!=A.
% 1.81/1.98 ** KEPT (pick-wt=8): 45 [] A=B|vsucc(A)!=vsucc(B).
% 1.81/1.98 Following clause subsumed by 45 during input processing: 0 [] vsucc(A)!=vsucc(B)|A=B.
% 1.81/1.98 ** KEPT (pick-wt=4): 46 [] vsucc(A)!=v1.
% 1.81/1.98
% 1.81/1.98 ------------> process sos:
% 1.81/1.98 ** KEPT (pick-wt=3): 50 [] A=A.
% 1.81/1.98 ** KEPT (pick-wt=9): 52 [copy,51,flip.1] vmul(vplus(vd471,vd473),vd469)=vmul(vd470,vd469).
% 1.81/1.98 ---> New Demodulator: 53 [new_demod,52] vmul(vplus(vd471,vd473),vd469)=vmul(vd470,vd469).
% 1.81/1.98 ** KEPT (pick-wt=5): 55 [copy,54,flip.1] vplus(vd471,vd473)=vd470.
% 1.81/1.98 ---> New Demodulator: 56 [new_demod,55] vplus(vd471,vd473)=vd470.
% 1.81/1.98 ** KEPT (pick-wt=3): 57 [] greater(vd470,vd471).
% 1.81/1.98 ** KEPT (pick-wt=11): 58 [] vmul(vmul(A,B),C)=vmul(A,vmul(B,C)).
% 1.81/1.98 ---> New Demodulator: 59 [new_demod,58] vmul(vmul(A,B),C)=vmul(A,vmul(B,C)).
% 1.81/1.98 ** KEPT (pick-wt=13): 61 [copy,60,flip.1] vplus(vmul(A,B),vmul(A,C))=vmul(A,vplus(B,C)).
% 1.81/1.98 ---> New Demodulator: 62 [new_demod,61] vplus(vmul(A,B),vmul(A,C))=vmul(A,vplus(B,C)).
% 1.81/1.98 ** KEPT (pick-wt=7): 63 [] vmul(A,B)=vmul(B,A).
% 1.81/1.98 ** KEPT (pick-wt=10): 64 [] vmul(vsucc(A),B)=vplus(vmul(A,B),B).
% 1.81/1.98 ** KEPT (pick-wt=5): 65 [] vmul(v1,A)=A.
% 1.81/1.98 ---> New Demodulator: 66 [new_demod,65] vmul(v1,A)=A.
% 1.92/2.08 ** KEPT (pick-wt=10): 67 [] vmul(A,vsucc(B))=vplus(vmul(A,B),A).
% 1.92/2.08 ** KEPT (pick-wt=5): 68 [] vmul(A,v1)=A.
% 1.92/2.08 ---> New Demodulator: 69 [new_demod,68] vmul(A,v1)=A.
% 1.92/2.08 ** KEPT (pick-wt=3): 70 [] ge_q(A,v1).
% 1.92/2.08 ** KEPT (pick-wt=5): 71 [] greater(vplus(A,B),A).
% 1.92/2.08 ** KEPT (pick-wt=9): 72 [] A=B|greater(A,B)|less(A,B).
% 1.92/2.08 ** KEPT (pick-wt=17): 74 [copy,73,flip.2,flip.3] A=B|vplus(B,$f3(A,B))=A|vplus(A,$f4(A,B))=B.
% 1.92/2.08 ** KEPT (pick-wt=7): 75 [] vplus(A,B)=vplus(B,A).
% 1.92/2.08 ** KEPT (pick-wt=9): 77 [copy,76,flip.1] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.92/2.08 ---> New Demodulator: 78 [new_demod,77] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.92/2.08 ** KEPT (pick-wt=6): 80 [copy,79,flip.1] vsucc(A)=vplus(v1,A).
% 1.92/2.08 ---> New Demodulator: 81 [new_demod,80] vsucc(A)=vplus(v1,A).
% 1.92/2.08 ** KEPT (pick-wt=11): 82 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.92/2.08 ---> New Demodulator: 83 [new_demod,82] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.92/2.08 ** KEPT (pick-wt=11): 85 [copy,84,demod,81,81] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.92/2.08 Following clause subsumed by 75 during input processing: 0 [demod,81] vplus(A,v1)=vplus(v1,A).
% 1.92/2.08 ** KEPT (pick-wt=9): 87 [copy,86,demod,81,flip.2] A=v1|vplus(v1,vskolem2(A))=A.
% 1.92/2.08 Following clause subsumed by 50 during input processing: 0 [copy,50,flip.1] A=A.
% 1.92/2.08 >>>> Starting back demodulation with 53.
% 1.92/2.08 >> back demodulating 2 with 53.
% 1.92/2.08 >>>> Starting back demodulation with 56.
% 1.92/2.08 >> back demodulating 52 with 56.
% 1.92/2.08 >>>> Starting back demodulation with 59.
% 1.92/2.08 >>>> Starting back demodulation with 62.
% 1.92/2.08 Following clause subsumed by 63 during input processing: 0 [copy,63,flip.1] vmul(A,B)=vmul(B,A).
% 1.92/2.08 ** KEPT (pick-wt=11): 89 [copy,64,flip.1,demod,81] vplus(vmul(A,B),B)=vmul(vplus(v1,A),B).
% 1.92/2.08 ---> New Demodulator: 90 [new_demod,89] vplus(vmul(A,B),B)=vmul(vplus(v1,A),B).
% 1.92/2.08 >>>> Starting back demodulation with 66.
% 1.92/2.08 ** KEPT (pick-wt=11): 91 [copy,67,flip.1,demod,81] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.92/2.08 ---> New Demodulator: 92 [new_demod,91] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.92/2.08 >>>> Starting back demodulation with 69.
% 1.92/2.08 Following clause subsumed by 75 during input processing: 0 [copy,75,flip.1] vplus(A,B)=vplus(B,A).
% 1.92/2.08 >>>> Starting back demodulation with 78.
% 1.92/2.08 >>>> Starting back demodulation with 81.
% 1.92/2.08 >> back demodulating 77 with 81.
% 1.92/2.08 >> back demodulating 67 with 81.
% 1.92/2.08 >> back demodulating 64 with 81.
% 1.92/2.08 >> back demodulating 46 with 81.
% 1.92/2.08 >> back demodulating 45 with 81.
% 1.92/2.08 >> back demodulating 44 with 81.
% 1.92/2.08 >>>> Starting back demodulation with 83.
% 1.92/2.08 ** KEPT (pick-wt=11): 93 [copy,85,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 1.92/2.08 >>>> Starting back demodulation with 90.
% 1.92/2.08 >>>> Starting back demodulation with 92.
% 1.92/2.08 Following clause subsumed by 85 during input processing: 0 [copy,93,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.92/2.08
% 1.92/2.08 ======= end of input processing =======
% 1.92/2.08
% 1.92/2.08 =========== start of search ===========
% 1.92/2.08
% 1.92/2.08
% 1.92/2.08 Resetting weight limit to 7.
% 1.92/2.08
% 1.92/2.08
% 1.92/2.08 Resetting weight limit to 7.
% 1.92/2.08
% 1.92/2.08 sos_size=1054
% 1.92/2.08
% 1.92/2.08 -------- PROOF --------
% 1.92/2.08
% 1.92/2.08 ----> UNIT CONFLICT at 0.10 sec ----> 1280 [binary,1279.1,63.1] $F.
% 1.92/2.08
% 1.92/2.08 Length of proof is 6. Level of proof is 3.
% 1.92/2.08
% 1.92/2.08 ---------------- PROOF ----------------
% 1.92/2.08 % SZS status Theorem
% 1.92/2.08 % SZS output start Refutation
% See solution above
% 1.92/2.08 ------------ end of proof -------------
% 1.92/2.08
% 1.92/2.08
% 1.92/2.08 Search stopped by max_proofs option.
% 1.92/2.08
% 1.92/2.08
% 1.92/2.08 Search stopped by max_proofs option.
% 1.92/2.08
% 1.92/2.08 ============ end of search ============
% 1.92/2.08
% 1.92/2.08 -------------- statistics -------------
% 1.92/2.08 clauses given 56
% 1.92/2.08 clauses generated 2440
% 1.92/2.08 clauses kept 1228
% 1.92/2.08 clauses forward subsumed 752
% 1.92/2.08 clauses back subsumed 48
% 1.92/2.08 Kbytes malloced 4882
% 1.92/2.08
% 1.92/2.08 ----------- times (seconds) -----------
% 1.92/2.08 user CPU time 0.10 (0 hr, 0 min, 0 sec)
% 1.92/2.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.92/2.08 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.92/2.08
% 1.92/2.08 That finishes the proof of the theorem.
% 1.92/2.08
% 1.92/2.08 Process 5144 finished Wed Jul 27 10:00:33 2022
% 1.92/2.08 Otter interrupted
% 1.92/2.08 PROOF FOUND
%------------------------------------------------------------------------------