TSTP Solution File: NUM856+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM856+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 13:10:07 EDT 2022
% Result : Theorem 97.75s 97.94s
% Output : Refutation 97.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 12 unt; 7 nHn; 20 RR)
% Number of literals : 39 ( 5 equ; 13 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 : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
file('NUM856+2.p',unknown),
[] ).
cnf(2,axiom,
( ~ greater(A,B)
| ~ greater(C,D)
| greater(vmul(C,A),vmul(D,B)) ),
file('NUM856+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ greater(A,B)
| greater(vmul(A,C),vmul(B,C)) ),
file('NUM856+2.p',unknown),
[] ).
cnf(30,axiom,
( ~ ge_q(A,B)
| greater(A,B)
| A = B ),
file('NUM856+2.p',unknown),
[] ).
cnf(31,axiom,
( ge_q(A,B)
| ~ greater(A,B) ),
file('NUM856+2.p',unknown),
[] ).
cnf(58,axiom,
( greater(vd519,vd520)
| ge_q(vd519,vd520) ),
file('NUM856+2.p',unknown),
[] ).
cnf(59,axiom,
( greater(vd519,vd520)
| greater(vd517,vd518) ),
file('NUM856+2.p',unknown),
[] ).
cnf(61,axiom,
( ge_q(vd517,vd518)
| greater(vd517,vd518) ),
file('NUM856+2.p',unknown),
[] ).
cnf(67,axiom,
vmul(A,B) = vmul(B,A),
file('NUM856+2.p',unknown),
[] ).
cnf(121,plain,
ge_q(vd519,vd520),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[58,31])]),
[iquote('hyper,58,31,factor_simp')] ).
cnf(123,plain,
( greater(vd519,vd520)
| vd520 = vd519 ),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[121,30])]),
[iquote('hyper,121,30,flip.2')] ).
cnf(204,plain,
( greater(vd519,vd520)
| greater(vmul(vd517,A),vmul(vd518,A)) ),
inference(hyper,[status(thm)],[59,8]),
[iquote('hyper,59,8')] ).
cnf(292,plain,
ge_q(vd517,vd518),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[61,31])]),
[iquote('hyper,61,31,factor_simp')] ).
cnf(294,plain,
( greater(vd517,vd518)
| vd518 = vd517 ),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[292,30])]),
[iquote('hyper,292,30,flip.2')] ).
cnf(721,plain,
( ~ greater(A,B)
| ~ greater(C,D)
| greater(vmul(C,A),vmul(B,D)) ),
inference(para_from,[status(thm),theory(equality)],[67,2]),
[iquote('para_from,67.1.1,2.3.2')] ).
cnf(722,plain,
~ greater(vmul(vd517,vd519),vmul(vd520,vd518)),
inference(para_from,[status(thm),theory(equality)],[67,1]),
[iquote('para_from,67.1.1,1.1.2')] ).
cnf(723,plain,
~ greater(vmul(vd519,vd517),vmul(vd518,vd520)),
inference(para_from,[status(thm),theory(equality)],[67,1]),
[iquote('para_from,67.1.1,1.1.1')] ).
cnf(1012,plain,
( ~ greater(vmul(vd517,vd519),vmul(vd518,vd519))
| greater(vd519,vd520) ),
inference(para_from,[status(thm),theory(equality)],[123,1]),
[iquote('para_from,123.2.1,1.1.2.2')] ).
cnf(1590,plain,
~ greater(vmul(vd519,vd517),vmul(vd520,vd518)),
inference(para_into,[status(thm),theory(equality)],[722,67]),
[iquote('para_into,722.1.1,67.1.1')] ).
cnf(4744,plain,
greater(vd519,vd520),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1012,204])]),
[iquote('hyper,1012,204,factor_simp')] ).
cnf(4748,plain,
vd518 = vd517,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4744,721,294]),723]),
[iquote('hyper,4744,721,294,unit_del,723')] ).
cnf(4766,plain,
greater(vmul(vd519,A),vmul(vd520,A)),
inference(hyper,[status(thm)],[4744,8]),
[iquote('hyper,4744,8')] ).
cnf(4824,plain,
~ greater(vmul(vd519,vd517),vmul(vd520,vd517)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1590]),4748]),
[iquote('back_demod,1590,demod,4748')] ).
cnf(4825,plain,
$false,
inference(binary,[status(thm)],[4824,4766]),
[iquote('binary,4824.1,4766.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM856+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n006.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 09:35:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.99/2.20 ----- Otter 3.3f, August 2004 -----
% 1.99/2.20 The process was started by sandbox2 on n006.cluster.edu,
% 1.99/2.20 Wed Jul 27 09:35:47 2022
% 1.99/2.20 The command was "./otter". The process ID is 6851.
% 1.99/2.20
% 1.99/2.20 set(prolog_style_variables).
% 1.99/2.20 set(auto).
% 1.99/2.20 dependent: set(auto1).
% 1.99/2.20 dependent: set(process_input).
% 1.99/2.20 dependent: clear(print_kept).
% 1.99/2.20 dependent: clear(print_new_demod).
% 1.99/2.20 dependent: clear(print_back_demod).
% 1.99/2.20 dependent: clear(print_back_sub).
% 1.99/2.20 dependent: set(control_memory).
% 1.99/2.20 dependent: assign(max_mem, 12000).
% 1.99/2.20 dependent: assign(pick_given_ratio, 4).
% 1.99/2.20 dependent: assign(stats_level, 1).
% 1.99/2.20 dependent: assign(max_seconds, 10800).
% 1.99/2.20 clear(print_given).
% 1.99/2.20
% 1.99/2.20 formula_list(usable).
% 1.99/2.20 all A (A=A).
% 1.99/2.20 -greater(vmul(vd517,vd519),vmul(vd518,vd520)).
% 1.99/2.20 greater(vd519,vd520)&ge_q(vd517,vd518)|ge_q(vd519,vd520)&greater(vd517,vd518).
% 1.99/2.20 all Vd501 Vd502 Vd504 Vd505 (greater(Vd504,Vd505)&greater(Vd501,Vd502)->greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505))).
% 1.99/2.20 all Vd496 Vd497 Vd498 (less(vmul(Vd496,Vd497),vmul(Vd498,Vd497))->less(Vd496,Vd498)).
% 1.99/2.20 all Vd491 Vd492 Vd493 (vmul(Vd491,Vd492)=vmul(Vd493,Vd492)->Vd491=Vd493).
% 1.99/2.20 all Vd486 Vd487 Vd488 (greater(vmul(Vd486,Vd487),vmul(Vd488,Vd487))->greater(Vd486,Vd488)).
% 1.99/2.20 all Vd456 Vd465 Vd466 (less(Vd465,Vd466)->less(vmul(Vd465,Vd456),vmul(Vd466,Vd456))).
% 1.99/2.20 all Vd456 Vd461 Vd462 (Vd461=Vd462->vmul(Vd461,Vd456)=vmul(Vd462,Vd456)).
% 1.99/2.20 all Vd456 Vd457 Vd458 (greater(Vd457,Vd458)->greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456))).
% 1.99/2.20 all Vd444 Vd445 Vd446 (vmul(vmul(Vd444,Vd445),Vd446)=vmul(Vd444,vmul(Vd445,Vd446))).
% 1.99/2.20 all Vd432 Vd433 Vd434 (vmul(Vd432,vplus(Vd433,Vd434))=vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434))).
% 1.99/2.20 all Vd418 Vd419 (vmul(Vd418,Vd419)=vmul(Vd419,Vd418)).
% 1.99/2.20 all Vd408 Vd409 (vmul(vsucc(Vd408),Vd409)=vplus(vmul(Vd408,Vd409),Vd409)).
% 1.99/2.20 all Vd400 (vmul(v1,Vd400)=Vd400).
% 1.99/2.20 all Vd396 Vd397 (vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396)&vmul(Vd396,v1)=Vd396).
% 1.99/2.20 all Vd386 Vd387 (less(Vd386,vplus(Vd387,v1))->le_q(Vd386,Vd387)).
% 1.99/2.20 all Vd375 Vd376 (greater(Vd375,Vd376)->ge_q(Vd375,vplus(Vd376,v1))).
% 1.99/2.20 all Vd369 ge_q(Vd369,v1).
% 1.99/2.20 all Vd362 Vd363 Vd365 Vd366 (ge_q(Vd365,Vd366)&ge_q(Vd362,Vd363)->ge_q(vplus(Vd362,Vd365),vplus(Vd363,Vd366))).
% 1.99/2.20 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))).
% 1.99/2.20 all Vd337 Vd338 Vd340 Vd341 (greater(Vd340,Vd341)&greater(Vd337,Vd338)->greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341))).
% 1.99/2.20 all Vd328 Vd329 Vd330 (less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))->less(Vd328,Vd329)).
% 1.99/2.20 all Vd328 Vd329 Vd330 (vplus(Vd328,Vd330)=vplus(Vd329,Vd330)->Vd328=Vd329).
% 1.99/2.20 all Vd328 Vd329 Vd330 (greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))->greater(Vd328,Vd329)).
% 1.99/2.20 all Vd301 Vd302 Vd303 (less(Vd301,Vd302)->less(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 1.99/2.20 all Vd301 Vd302 Vd303 (Vd301=Vd302->vplus(Vd301,Vd303)=vplus(Vd302,Vd303)).
% 1.99/2.20 all Vd301 Vd302 Vd303 (greater(Vd301,Vd302)->greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 1.99/2.20 all Vd295 Vd296 greater(vplus(Vd295,Vd296),Vd295).
% 1.99/2.20 all Vd289 Vd290 Vd292 (le_q(Vd290,Vd292)&le_q(Vd289,Vd290)->le_q(Vd289,Vd292)).
% 1.99/2.20 all Vd281 Vd282 Vd283 (less(Vd282,Vd283)&le_q(Vd281,Vd282)|le_q(Vd282,Vd283)&less(Vd281,Vd282)->less(Vd281,Vd283)).
% 1.99/2.20 all Vd262 Vd263 Vd265 (less(Vd263,Vd265)&less(Vd262,Vd263)->less(Vd262,Vd265)).
% 1.99/2.20 all Vd258 Vd259 (le_q(Vd258,Vd259)->ge_q(Vd259,Vd258)).
% 1.99/2.20 all Vd254 Vd255 (ge_q(Vd254,Vd255)->le_q(Vd255,Vd254)).
% 1.99/2.20 all Vd249 Vd250 (le_q(Vd250,Vd249)<->less(Vd250,Vd249)|Vd250=Vd249).
% 1.99/2.20 all Vd244 Vd245 (ge_q(Vd245,Vd244)<->greater(Vd245,Vd244)|Vd245=Vd244).
% 1.99/2.20 all Vd226 Vd227 (less(Vd226,Vd227)->greater(Vd227,Vd226)).
% 1.99/2.20 all Vd208 Vd209 (greater(Vd208,Vd209)->less(Vd209,Vd208)).
% 1.99/2.20 all Vd203 Vd204 (Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204)).
% 1.99/2.20 all Vd203 Vd204 (Vd203!=Vd204| -less(Vd203,Vd204)).
% 1.99/2.20 all Vd203 Vd204 (-greater(Vd203,Vd204)| -less(Vd203,Vd204)).
% 1.99/2.20 all Vd203 Vd204 (Vd203!=Vd204| -greater(Vd203,Vd204)).
% 1.99/2.20 all Vd198 Vd199 (less(Vd199,Vd198)<-> (exists Vd201 (Vd198=vplus(Vd199,Vd201)))).
% 1.99/2.20 all Vd193 Vd194 (greater(Vd194,Vd193)<-> (exists Vd196 (Vd194=vplus(Vd193,Vd196)))).
% 1.99/2.20 all Vd120 Vd121 (Vd120=Vd121| (exists Vd123 (Vd120=vplus(Vd121,Vd123)))| (exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.99/2.20 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.99/2.20 all Vd120 Vd121 (-(exists Vd123 (Vd120=vplus(Vd121,Vd123)))| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.99/2.20 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd123 (Vd120=vplus(Vd121,Vd123)))).
% 1.99/2.20 all Vd104 Vd105 (Vd104!=Vd105-> (all Vd107 (vplus(Vd107,Vd104)!=vplus(Vd107,Vd105)))).
% 1.99/2.20 all Vd92 Vd93 (Vd93!=vplus(Vd92,Vd93)).
% 1.99/2.20 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 1.99/2.20 all Vd68 Vd69 (vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69))).
% 1.99/2.20 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 1.99/2.20 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 1.99/2.20 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 1.99/2.20 all Vd24 (Vd24!=v1->Vd24=vsucc(vskolem2(Vd24))).
% 1.99/2.20 all Vd16 (vsucc(Vd16)!=Vd16).
% 1.99/2.20 all Vd7 Vd8 (Vd7!=Vd8->vsucc(Vd7)!=vsucc(Vd8)).
% 1.99/2.20 all Vd3 Vd4 (vsucc(Vd3)=vsucc(Vd4)->Vd3=Vd4).
% 1.99/2.20 all Vd1 (vsucc(Vd1)!=v1).
% 1.99/2.20 end_of_list.
% 1.99/2.20
% 1.99/2.20 -------> usable clausifies to:
% 1.99/2.20
% 1.99/2.20 list(usable).
% 1.99/2.20 0 [] A=A.
% 1.99/2.20 0 [] -greater(vmul(vd517,vd519),vmul(vd518,vd520)).
% 1.99/2.20 0 [] greater(vd519,vd520)|ge_q(vd519,vd520).
% 1.99/2.20 0 [] greater(vd519,vd520)|greater(vd517,vd518).
% 1.99/2.20 0 [] ge_q(vd517,vd518)|ge_q(vd519,vd520).
% 1.99/2.20 0 [] ge_q(vd517,vd518)|greater(vd517,vd518).
% 1.99/2.20 0 [] -greater(Vd504,Vd505)| -greater(Vd501,Vd502)|greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505)).
% 1.99/2.20 0 [] -less(vmul(Vd496,Vd497),vmul(Vd498,Vd497))|less(Vd496,Vd498).
% 1.99/2.20 0 [] vmul(Vd491,Vd492)!=vmul(Vd493,Vd492)|Vd491=Vd493.
% 1.99/2.20 0 [] -greater(vmul(Vd486,Vd487),vmul(Vd488,Vd487))|greater(Vd486,Vd488).
% 1.99/2.20 0 [] -less(Vd465,Vd466)|less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)).
% 1.99/2.20 0 [] Vd461!=Vd462|vmul(Vd461,Vd456)=vmul(Vd462,Vd456).
% 1.99/2.20 0 [] -greater(Vd457,Vd458)|greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)).
% 1.99/2.20 0 [] vmul(vmul(Vd444,Vd445),Vd446)=vmul(Vd444,vmul(Vd445,Vd446)).
% 1.99/2.20 0 [] vmul(Vd432,vplus(Vd433,Vd434))=vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)).
% 1.99/2.20 0 [] vmul(Vd418,Vd419)=vmul(Vd419,Vd418).
% 1.99/2.20 0 [] vmul(vsucc(Vd408),Vd409)=vplus(vmul(Vd408,Vd409),Vd409).
% 1.99/2.20 0 [] vmul(v1,Vd400)=Vd400.
% 1.99/2.20 0 [] vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396).
% 1.99/2.20 0 [] vmul(Vd396,v1)=Vd396.
% 1.99/2.20 0 [] -less(Vd386,vplus(Vd387,v1))|le_q(Vd386,Vd387).
% 1.99/2.20 0 [] -greater(Vd375,Vd376)|ge_q(Vd375,vplus(Vd376,v1)).
% 1.99/2.20 0 [] ge_q(Vd369,v1).
% 1.99/2.20 0 [] -ge_q(Vd365,Vd366)| -ge_q(Vd362,Vd363)|ge_q(vplus(Vd362,Vd365),vplus(Vd363,Vd366)).
% 1.99/2.20 0 [] -greater(Vd355,Vd356)| -ge_q(Vd353,Vd354)|greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356)).
% 1.99/2.20 0 [] -ge_q(Vd355,Vd356)| -greater(Vd353,Vd354)|greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356)).
% 1.99/2.20 0 [] -greater(Vd340,Vd341)| -greater(Vd337,Vd338)|greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)).
% 1.99/2.20 0 [] -less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|less(Vd328,Vd329).
% 1.99/2.20 0 [] vplus(Vd328,Vd330)!=vplus(Vd329,Vd330)|Vd328=Vd329.
% 1.99/2.20 0 [] -greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|greater(Vd328,Vd329).
% 1.99/2.20 0 [] -less(Vd301,Vd302)|less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 1.99/2.20 0 [] Vd301!=Vd302|vplus(Vd301,Vd303)=vplus(Vd302,Vd303).
% 1.99/2.20 0 [] -greater(Vd301,Vd302)|greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 1.99/2.20 0 [] greater(vplus(Vd295,Vd296),Vd295).
% 1.99/2.20 0 [] -le_q(Vd290,Vd292)| -le_q(Vd289,Vd290)|le_q(Vd289,Vd292).
% 1.99/2.20 0 [] -less(Vd282,Vd283)| -le_q(Vd281,Vd282)|less(Vd281,Vd283).
% 1.99/2.20 0 [] -le_q(Vd282,Vd283)| -less(Vd281,Vd282)|less(Vd281,Vd283).
% 1.99/2.20 0 [] -less(Vd263,Vd265)| -less(Vd262,Vd263)|less(Vd262,Vd265).
% 1.99/2.20 0 [] -le_q(Vd258,Vd259)|ge_q(Vd259,Vd258).
% 1.99/2.20 0 [] -ge_q(Vd254,Vd255)|le_q(Vd255,Vd254).
% 1.99/2.20 0 [] -le_q(Vd250,Vd249)|less(Vd250,Vd249)|Vd250=Vd249.
% 1.99/2.20 0 [] le_q(Vd250,Vd249)| -less(Vd250,Vd249).
% 1.99/2.20 0 [] le_q(Vd250,Vd249)|Vd250!=Vd249.
% 1.99/2.20 0 [] -ge_q(Vd245,Vd244)|greater(Vd245,Vd244)|Vd245=Vd244.
% 1.99/2.20 0 [] ge_q(Vd245,Vd244)| -greater(Vd245,Vd244).
% 1.99/2.20 0 [] ge_q(Vd245,Vd244)|Vd245!=Vd244.
% 1.99/2.20 0 [] -less(Vd226,Vd227)|greater(Vd227,Vd226).
% 1.99/2.20 0 [] -greater(Vd208,Vd209)|less(Vd209,Vd208).
% 1.99/2.20 0 [] Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204).
% 1.99/2.20 0 [] Vd203!=Vd204| -less(Vd203,Vd204).
% 1.99/2.20 0 [] -greater(Vd203,Vd204)| -less(Vd203,Vd204).
% 1.99/2.20 0 [] Vd203!=Vd204| -greater(Vd203,Vd204).
% 1.99/2.20 0 [] -less(Vd199,Vd198)|Vd198=vplus(Vd199,$f1(Vd198,Vd199)).
% 1.99/2.20 0 [] less(Vd199,Vd198)|Vd198!=vplus(Vd199,Vd201).
% 1.99/2.20 0 [] -greater(Vd194,Vd193)|Vd194=vplus(Vd193,$f2(Vd193,Vd194)).
% 1.99/2.20 0 [] greater(Vd194,Vd193)|Vd194!=vplus(Vd193,Vd196).
% 1.99/2.20 0 [] Vd120=Vd121|Vd120=vplus(Vd121,$f3(Vd120,Vd121))|Vd121=vplus(Vd120,$f4(Vd120,Vd121)).
% 1.99/2.20 0 [] Vd120!=Vd121|Vd121!=vplus(Vd120,Vd125).
% 1.99/2.20 0 [] Vd120!=vplus(Vd121,Vd123)|Vd121!=vplus(Vd120,Vd125).
% 1.99/2.20 0 [] Vd120!=Vd121|Vd120!=vplus(Vd121,Vd123).
% 1.99/2.20 0 [] Vd104=Vd105|vplus(Vd107,Vd104)!=vplus(Vd107,Vd105).
% 1.99/2.20 0 [] Vd93!=vplus(Vd92,Vd93).
% 1.99/2.20 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 1.99/2.20 0 [] vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69)).
% 1.99/2.20 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 1.99/2.20 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 1.99/2.20 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 1.99/2.20 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 1.99/2.20 0 [] Vd24=v1|Vd24=vsucc(vskolem2(Vd24)).
% 1.99/2.20 0 [] vsucc(Vd16)!=Vd16.
% 1.99/2.20 0 [] Vd7=Vd8|vsucc(Vd7)!=vsucc(Vd8).
% 1.99/2.20 0 [] vsucc(Vd3)!=vsucc(Vd4)|Vd3=Vd4.
% 1.99/2.20 0 [] vsucc(Vd1)!=v1.
% 1.99/2.20 end_of_list.
% 1.99/2.20
% 1.99/2.20 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.99/2.20
% 1.99/2.20 This ia a non-Horn set with equality. The strategy will be
% 1.99/2.20 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.99/2.20 deletion, with positive clauses in sos and nonpositive
% 1.99/2.20 clauses in usable.
% 1.99/2.20
% 1.99/2.20 dependent: set(knuth_bendix).
% 1.99/2.20 dependent: set(anl_eq).
% 1.99/2.20 dependent: set(para_from).
% 1.99/2.20 dependent: set(para_into).
% 1.99/2.20 dependent: clear(para_from_right).
% 1.99/2.20 dependent: clear(para_into_right).
% 1.99/2.20 dependent: set(para_from_vars).
% 1.99/2.20 dependent: set(eq_units_both_ways).
% 1.99/2.20 dependent: set(dynamic_demod_all).
% 1.99/2.20 dependent: set(dynamic_demod).
% 1.99/2.20 dependent: set(order_eq).
% 1.99/2.20 dependent: set(back_demod).
% 1.99/2.20 dependent: set(lrpo).
% 1.99/2.20 dependent: set(hyper_res).
% 1.99/2.20 dependent: set(unit_deletion).
% 1.99/2.20 dependent: set(factor).
% 1.99/2.20
% 1.99/2.20 ------------> process usable:
% 1.99/2.20 ** KEPT (pick-wt=7): 1 [] -greater(vmul(vd517,vd519),vmul(vd518,vd520)).
% 1.99/2.20 ** KEPT (pick-wt=13): 2 [] -greater(A,B)| -greater(C,D)|greater(vmul(C,A),vmul(D,B)).
% 1.99/2.20 ** KEPT (pick-wt=10): 3 [] -less(vmul(A,B),vmul(C,B))|less(A,C).
% 1.99/2.20 ** KEPT (pick-wt=10): 4 [] vmul(A,B)!=vmul(C,B)|A=C.
% 1.99/2.20 ** KEPT (pick-wt=10): 5 [] -greater(vmul(A,B),vmul(C,B))|greater(A,C).
% 1.99/2.20 ** KEPT (pick-wt=10): 6 [] -less(A,B)|less(vmul(A,C),vmul(B,C)).
% 1.99/2.20 ** KEPT (pick-wt=10): 7 [] A!=B|vmul(A,C)=vmul(B,C).
% 1.99/2.20 ** KEPT (pick-wt=10): 8 [] -greater(A,B)|greater(vmul(A,C),vmul(B,C)).
% 1.99/2.20 ** KEPT (pick-wt=8): 9 [] -less(A,vplus(B,v1))|le_q(A,B).
% 1.99/2.20 ** KEPT (pick-wt=8): 10 [] -greater(A,B)|ge_q(A,vplus(B,v1)).
% 1.99/2.20 ** KEPT (pick-wt=13): 11 [] -ge_q(A,B)| -ge_q(C,D)|ge_q(vplus(C,A),vplus(D,B)).
% 1.99/2.20 ** KEPT (pick-wt=13): 12 [] -greater(A,B)| -ge_q(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.99/2.20 ** KEPT (pick-wt=13): 13 [] -ge_q(A,B)| -greater(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.99/2.20 ** KEPT (pick-wt=13): 14 [] -greater(A,B)| -greater(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.99/2.20 ** KEPT (pick-wt=10): 15 [] -less(vplus(A,B),vplus(C,B))|less(A,C).
% 1.99/2.20 ** KEPT (pick-wt=10): 16 [] vplus(A,B)!=vplus(C,B)|A=C.
% 1.99/2.20 ** KEPT (pick-wt=10): 17 [] -greater(vplus(A,B),vplus(C,B))|greater(A,C).
% 1.99/2.20 ** KEPT (pick-wt=10): 18 [] -less(A,B)|less(vplus(A,C),vplus(B,C)).
% 1.99/2.20 ** KEPT (pick-wt=10): 19 [] A!=B|vplus(A,C)=vplus(B,C).
% 1.99/2.20 ** KEPT (pick-wt=10): 20 [] -greater(A,B)|greater(vplus(A,C),vplus(B,C)).
% 1.99/2.20 ** KEPT (pick-wt=9): 21 [] -le_q(A,B)| -le_q(C,A)|le_q(C,B).
% 1.99/2.20 ** KEPT (pick-wt=9): 22 [] -less(A,B)| -le_q(C,A)|less(C,B).
% 1.99/2.20 ** KEPT (pick-wt=9): 23 [] -le_q(A,B)| -less(C,A)|less(C,B).
% 1.99/2.20 ** KEPT (pick-wt=9): 24 [] -less(A,B)| -less(C,A)|less(C,B).
% 1.99/2.20 ** KEPT (pick-wt=6): 25 [] -le_q(A,B)|ge_q(B,A).
% 1.99/2.20 ** KEPT (pick-wt=6): 26 [] -ge_q(A,B)|le_q(B,A).
% 1.99/2.20 ** KEPT (pick-wt=9): 27 [] -le_q(A,B)|less(A,B)|A=B.
% 1.99/2.20 ** KEPT (pick-wt=6): 28 [] le_q(A,B)| -less(A,B).
% 1.99/2.20 ** KEPT (pick-wt=6): 29 [] le_q(A,B)|A!=B.
% 1.99/2.20 ** KEPT (pick-wt=9): 30 [] -ge_q(A,B)|greater(A,B)|A=B.
% 1.99/2.20 ** KEPT (pick-wt=6): 31 [] ge_q(A,B)| -greater(A,B).
% 1.99/2.20 ** KEPT (pick-wt=6): 32 [] ge_q(A,B)|A!=B.
% 1.99/2.20 ** KEPT (pick-wt=6): 33 [] -less(A,B)|greater(B,A).
% 1.99/2.20 ** KEPT (pick-wt=6): 34 [] -greater(A,B)|less(B,A).
% 1.99/2.20 ** KEPT (pick-wt=6): 35 [] A!=B| -less(A,B).
% 1.99/2.20 ** KEPT (pick-wt=6): 36 [] -greater(A,B)| -less(A,B).
% 1.99/2.20 ** KEPT (pick-wt=6): 37 [] A!=B| -greater(A,B).
% 1.99/2.20 ** KEPT (pick-wt=10): 39 [copy,38,flip.2] -less(A,B)|vplus(A,$f1(B,A))=B.
% 1.99/2.20 ** KEPT (pick-wt=8): 40 [] less(A,B)|B!=vplus(A,C).
% 1.99/2.20 ** KEPT (pick-wt=10): 42 [copy,41,flip.2] -greater(A,B)|vplus(B,$f2(B,A))=A.
% 1.99/2.20 ** KEPT (pick-wt=8): 43 [] greater(A,B)|A!=vplus(B,C).
% 1.99/2.20 ** KEPT (pick-wt=8): 44 [] A!=B|B!=vplus(A,C).
% 1.99/2.20 ** KEPT (pick-wt=10): 45 [] A!=vplus(B,C)|B!=vplus(A,D).
% 1.99/2.20 ** KEPT (pick-wt=8): 46 [] A!=B|A!=vplus(B,C).
% 1.99/2.20 ** KEPT (pick-wt=10): 47 [] A=B|vplus(C,A)!=vplus(C,B).
% 1.99/2.20 ** KEPT (pick-wt=5): 49 [copy,48,flip.1] vplus(A,B)!=B.
% 1.99/2.20 ** KEPT (pick-wt=4): 50 [] vsucc(A)!=A.
% 1.99/2.20 ** KEPT (pick-wt=8): 51 [] A=B|vsucc(A)!=vsucc(B).
% 1.99/2.20 Following clause subsumed by 51 during input processing: 0 [] vsucc(A)!=vsucc(B)|A=B.
% 1.99/2.20 ** KEPT (pick-wt=4): 52 [] vsucc(A)!=v1.
% 1.99/2.20
% 1.99/2.20 ------------> process sos:
% 1.99/2.20 ** KEPT (pick-wt=3): 57 [] A=A.
% 1.99/2.20 ** KEPT (pick-wt=6): 58 [] greater(vd519,vd520)|ge_q(vd519,vd520).
% 1.99/2.20 ** KEPT (pick-wt=6): 59 [] greater(vd519,vd520)|greater(vd517,vd518).
% 1.99/2.20 ** KEPT (pick-wt=6): 60 [] ge_q(vd517,vd518)|ge_q(vd519,vd520).
% 1.99/2.20 ** KEPT (pick-wt=6): 61 [] ge_q(vd517,vd518)|greater(vd517,vd518).
% 1.99/2.20 ** KEPT (pick-wt=11): 62 [] vmul(vmul(A,B),C)=vmul(A,vmul(B,C)).
% 1.99/2.20 ---> New Demodulator: 63 [new_demod,62] vmul(vmul(A,B),C)=vmul(A,vmul(B,C)).
% 1.99/2.20 ** KEPT (pick-wt=13): 65 [copy,64,flip.1] vplus(vmul(A,B),vmul(A,C))=vmul(A,vplus(B,C)).
% 1.99/2.20 ---> New Demodulator: 66 [new_demod,65] vplus(vmul(A,B),vmul(A,C))=vmul(A,vplus(B,C)).
% 1.99/2.20 ** KEPT (pick-wt=7): 67 [] vmul(A,B)=vmul(B,A).
% 1.99/2.20 ** KEPT (pick-wt=10): 68 [] vmul(vsucc(A),B)=vplus(vmul(A,B),B).
% 1.99/2.20 ** KEPT (pick-wt=5): 69 [] vmul(v1,A)=A.
% 1.99/2.20 ---> New Demodulator: 70 [new_demod,69] vmul(v1,A)=A.
% 1.99/2.20 ** KEPT (pick-wt=10): 71 [] vmul(A,vsucc(B))=vplus(vmul(A,B),A).
% 1.99/2.20 ** KEPT (pick-wt=5): 72 [] vmul(A,v1)=A.
% 1.99/2.20 ---> New Demodulator: 73 [new_demod,72] vmul(A,v1)=A.
% 1.99/2.20 ** KEPT (pick-wt=3): 74 [] ge_q(A,v1).
% 1.99/2.20 ** KEPT (pick-wt=5): 75 [] greater(vplus(A,B),A).
% 1.99/2.20 ** KEPT (pick-wt=9): 76 [] A=B|greater(A,B)|less(A,B).
% 1.99/2.20 ** KEPT (pick-wt=17): 78 [copy,77,flip.2,flip.3] A=B|vplus(B,$f3(A,B))=A|vplus(A,$f4(A,B))=B.
% 1.99/2.20 ** KEPT (pick-wt=7): 79 [] vplus(A,B)=vplus(B,A).
% 1.99/2.20 ** KEPT (pick-wt=9): 81 [copy,80,flip.1] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.99/2.20 ---> New Demodulator: 82 [new_demod,81] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.99/2.20 ** KEPT (pick-wt=6): 84 [copy,83,flip.1] vsucc(A)=vplus(v1,A).
% 1.99/2.20 ---> New Demodulator: 85 [new_demod,84] vsucc(A)=vplus(v1,A).
% 1.99/2.20 ** KEPT (pick-wt=11): 86 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.99/2.20 ---> New Demodulator: 87 [new_demod,86] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.99/2.20 ** KEPT (pick-wt=11): 89 [copy,88,demod,85,85] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.99/2.20 Following clause subsumed by 79 during input processing: 0 [demod,85] vplus(A,v1)=vplus(v1,A).
% 1.99/2.20 ** KEPT (pick-wt=9): 91 [copy,90,demod,85,flip.2] A=v1|vplus(v1,vskolem2(A))=A.
% 1.99/2.20 Following clause subsumed by 57 during input processing: 0 [copy,57,flip.1] A=A.
% 1.99/2.20 >>>> Starting back demodulation with 63.
% 1.99/2.20 >>>> Starting back demodulation with 66.
% 1.99/2.20 Following clause subsumed by 67 during input processing: 0 [copy,67,flip.1] vmul(A,B)=vmul(B,A).
% 1.99/2.20 ** KEPT (pick-wt=11): 92 [copy,68,flip.1,demod,85] vplus(vmul(A,B),B)=vmul(vplus(v1,A),B).
% 1.99/2.20 ---> New Demodulator: 93 [new_demod,92] vplus(vmul(A,B),B)=vmul(vplus(v1,A),B).
% 1.99/2.20 >>>> Starting back demodulation with 70.
% 1.99/2.20 ** KEPT (pick-wt=11): 94 [copy,71,flip.1,demod,85] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.99/2.20 ---> New Demodulator: 95 [new_demod,94] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.99/2.20 >>>> Starting back demodulation with 73.
% 1.99/2.20 Following clause subsumed by 79 during input processing: 0 [copy,79,flip.1] vplus(A,B)=vplus(B,A).
% 1.99/2.20 >>>> Starting back demodulation with 82.
% 1.99/2.20 >>>> Starting back demodulation with 85.
% 1.99/2.20 >> back demodulating 81 with 85.
% 1.99/2.20 >> back demodulating 71 with 85.
% 1.99/2.20 >> back demodulating 68 with 85.
% 1.99/2.20 >> back demodulating 52 with 85.
% 1.99/2.20 >> back demodulating 51 with 85.
% 1.99/2.20 >> back demodulating 50 with 85.
% 1.99/2.20 >>>> Starting back demodulation with 87.
% 1.99/2.20 ** KEPT (pick-wt=11): 96 [copy,89,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 1.99/2.20 >>>> Starting back demodulation with 93.
% 1.99/2.20 >>>> Starting back demodulation with 95.
% 1.99/2.20 Following clause subsumed by 89 during input processing: 0 [copy,96,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.99/2.20
% 1.99/2.20 ======= end of input processing =======
% 1.99/2.20
% 1.99/2.20 =========== start of search ===========
% 97.75/97.94
% 97.75/97.94
% 97.75/97.94 Resetting weight limit to 7.
% 97.75/97.94
% 97.75/97.94
% 97.75/97.94 Resetting weight limit to 7.
% 97.75/97.94
% 97.75/97.94 sos_size=1255
% 97.75/97.94
% 97.75/97.94 -- HEY sandbox2, WE HAVE A PROOF!! --
% 97.75/97.94
% 97.75/97.94 ----> UNIT CONFLICT at 95.73 sec ----> 4825 [binary,4824.1,4766.1] $F.
% 97.75/97.94
% 97.75/97.94 Length of proof is 14. Level of proof is 6.
% 97.75/97.94
% 97.75/97.94 ---------------- PROOF ----------------
% 97.75/97.94 % SZS status Theorem
% 97.75/97.94 % SZS output start Refutation
% See solution above
% 97.75/97.94 ------------ end of proof -------------
% 97.75/97.94
% 97.75/97.94
% 97.75/97.94 Search stopped by max_proofs option.
% 97.75/97.94
% 97.75/97.94
% 97.75/97.94 Search stopped by max_proofs option.
% 97.75/97.94
% 97.75/97.94 ============ end of search ============
% 97.75/97.94
% 97.75/97.94 -------------- statistics -------------
% 97.75/97.94 clauses given 3329
% 97.75/97.94 clauses generated 9018756
% 97.75/97.94 clauses kept 4689
% 97.75/97.94 clauses forward subsumed 68923
% 97.75/97.94 clauses back subsumed 952
% 97.75/97.94 Kbytes malloced 8789
% 97.75/97.94
% 97.75/97.94 ----------- times (seconds) -----------
% 97.75/97.94 user CPU time 95.73 (0 hr, 1 min, 35 sec)
% 97.75/97.94 system CPU time 0.02 (0 hr, 0 min, 0 sec)
% 97.75/97.94 wall-clock time 97 (0 hr, 1 min, 37 sec)
% 97.75/97.94
% 97.75/97.94 That finishes the proof of the theorem.
% 97.75/97.94
% 97.75/97.94 Process 6851 finished Wed Jul 27 09:37:24 2022
% 97.75/97.94 Otter interrupted
% 97.75/97.94 PROOF FOUND
%------------------------------------------------------------------------------