TSTP Solution File: NUM853+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM853+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 76.95s 77.13s
% Output : Refutation 76.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of clauses : 85 ( 44 unt; 16 nHn; 54 RR)
% Number of literals : 134 ( 59 equ; 41 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ greater(vd486,vd488),
file('NUM853+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ less(A,B)
| less(vmul(A,C),vmul(B,C)) ),
file('NUM853+1.p',unknown),
[] ).
cnf(3,axiom,
( A != B
| vmul(A,C) = vmul(B,C) ),
file('NUM853+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ greater(A,B)
| greater(vmul(A,C),vmul(B,C)) ),
file('NUM853+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ less(A,B)
| ~ le_q(C,A)
| less(C,B) ),
file('NUM853+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ less(A,B)
| ~ less(C,A)
| less(C,B) ),
file('NUM853+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ ge_q(A,B)
| le_q(B,A) ),
file('NUM853+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ ge_q(A,B)
| greater(A,B)
| A = B ),
file('NUM853+1.p',unknown),
[] ).
cnf(27,axiom,
( ge_q(A,B)
| ~ greater(A,B) ),
file('NUM853+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ greater(A,B)
| less(B,A) ),
file('NUM853+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ greater(A,B)
| ~ less(A,B) ),
file('NUM853+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ less(A,B)
| B = vplus(A,dollar_f1(B,A)) ),
file('NUM853+1.p',unknown),
[] ).
cnf(35,plain,
( ~ less(A,B)
| vplus(A,dollar_f1(B,A)) = B ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[34])]),
[iquote('copy,34,flip.2')] ).
cnf(36,axiom,
( less(A,B)
| B != vplus(A,C) ),
file('NUM853+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ greater(A,B)
| A = vplus(B,dollar_f2(B,A)) ),
file('NUM853+1.p',unknown),
[] ).
cnf(38,plain,
( ~ greater(A,B)
| vplus(B,dollar_f2(B,A)) = A ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[37])]),
[iquote('copy,37,flip.2')] ).
cnf(41,axiom,
( A != vplus(B,C)
| B != vplus(A,D) ),
file('NUM853+1.p',unknown),
[] ).
cnf(43,axiom,
( A = B
| vplus(C,A) != vplus(C,B) ),
file('NUM853+1.p',unknown),
[] ).
cnf(44,axiom,
A != vplus(B,A),
file('NUM853+1.p',unknown),
[] ).
cnf(45,plain,
vplus(A,B) != B,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[44])]),
[iquote('copy,44,flip.1')] ).
cnf(51,plain,
vplus(A,B) != A,
inference(flip,[status(thm),theory(equality)],[inference(factor,[status(thm)],[41])]),
[iquote('factor,41.1.2,flip.1')] ).
cnf(52,axiom,
A = A,
file('NUM853+1.p',unknown),
[] ).
cnf(53,axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('NUM853+1.p',unknown),
[] ).
cnf(55,axiom,
vmul(vmul(A,B),C) = vmul(A,vmul(B,C)),
file('NUM853+1.p',unknown),
[] ).
cnf(59,axiom,
vmul(A,B) = vmul(B,A),
file('NUM853+1.p',unknown),
[] ).
cnf(62,axiom,
vmul(v1,A) = A,
file('NUM853+1.p',unknown),
[] ).
cnf(65,axiom,
vmul(A,v1) = A,
file('NUM853+1.p',unknown),
[] ).
cnf(66,axiom,
ge_q(A,v1),
file('NUM853+1.p',unknown),
[] ).
cnf(67,axiom,
greater(vplus(A,B),A),
file('NUM853+1.p',unknown),
[] ).
cnf(68,axiom,
( A = B
| greater(A,B)
| less(A,B) ),
file('NUM853+1.p',unknown),
[] ).
cnf(71,axiom,
vplus(A,B) = vplus(B,A),
file('NUM853+1.p',unknown),
[] ).
cnf(75,axiom,
vplus(v1,A) = vsucc(A),
file('NUM853+1.p',unknown),
[] ).
cnf(77,plain,
vsucc(A) = vplus(v1,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[75])]),
[iquote('copy,75,flip.1')] ).
cnf(82,axiom,
( A = v1
| A = vsucc(vskolem2(A)) ),
file('NUM853+1.p',unknown),
[] ).
cnf(83,plain,
( A = v1
| vplus(v1,vskolem2(A)) = A ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[82]),77])]),
[iquote('copy,82,demod,77,flip.2')] ).
cnf(89,plain,
less(A,vplus(A,B)),
inference(hyper,[status(thm)],[52,36]),
[iquote('hyper,52,36')] ).
cnf(93,plain,
( greater(A,v1)
| A = v1 ),
inference(hyper,[status(thm)],[66,26]),
[iquote('hyper,66,26')] ).
cnf(94,plain,
le_q(v1,A),
inference(hyper,[status(thm)],[66,22]),
[iquote('hyper,66,22')] ).
cnf(108,plain,
vplus(vmul(vd488,vd487),dollar_f2(vmul(vd488,vd487),vmul(vd486,vd487))) = vmul(vd486,vd487),
inference(hyper,[status(thm)],[53,38]),
[iquote('hyper,53,38')] ).
cnf(110,plain,
less(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(hyper,[status(thm)],[53,30]),
[iquote('hyper,53,30')] ).
cnf(117,plain,
greater(vmul(vd486,vmul(vd487,A)),vmul(vd488,vmul(vd487,A))),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[53,4]),55,55]),
[iquote('hyper,53,4,demod,55,55')] ).
cnf(148,plain,
( A = B
| vplus(C,B) != vplus(C,A) ),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[62,43]),62]),
[iquote('para_into,61.1.1,43.1.1,demod,62')] ).
cnf(149,plain,
( A = B
| ~ ge_q(B,A)
| greater(B,A) ),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[62,26]),62,62]),
[iquote('para_into,61.1.1,26.3.1,demod,62,62')] ).
cnf(156,plain,
( ~ less(v1,A)
| less(B,vmul(A,B)) ),
inference(para_from,[status(thm),theory(equality)],[62,2]),
[iquote('para_from,61.1.1,2.2.1')] ).
cnf(161,plain,
( A = B
| B != A ),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[65,3]),65]),
[iquote('para_into,64.1.1,3.2.1,demod,65')] ).
cnf(165,plain,
ge_q(vplus(A,B),A),
inference(hyper,[status(thm)],[67,27]),
[iquote('hyper,67,27')] ).
cnf(179,plain,
vplus(A,dollar_f1(vplus(A,B),A)) = vplus(A,B),
inference(hyper,[status(thm)],[89,35]),
[iquote('hyper,89,35')] ).
cnf(182,plain,
less(v1,vplus(A,B)),
inference(hyper,[status(thm)],[89,18,94]),
[iquote('hyper,89,18,94')] ).
cnf(207,plain,
( ge_q(A,B)
| ~ less(B,A) ),
inference(para_into,[status(thm),theory(equality)],[165,35]),
[iquote('para_into,165.1.1,35.2.1')] ).
cnf(218,plain,
vplus(v1,dollar_f1(vplus(A,B),v1)) = vplus(A,B),
inference(hyper,[status(thm)],[182,35]),
[iquote('hyper,182,35')] ).
cnf(228,plain,
( less(v1,A)
| ~ greater(A,B) ),
inference(para_into,[status(thm),theory(equality)],[182,38]),
[iquote('para_into,182.1.2,38.2.1')] ).
cnf(301,plain,
( A = v1
| less(v1,A) ),
inference(hyper,[status(thm)],[93,30]),
[iquote('hyper,93,30')] ).
cnf(313,plain,
( v1 = A
| greater(A,v1) ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[93,65]),65]),
[iquote('para_from,93.2.1,64.1.1,demod,65')] ).
cnf(328,plain,
( greater(vmul(vd486,vd487),vd487)
| greater(vd488,v1) ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[93,53]),62]),
[iquote('para_from,93.2.1,53.1.2.1,demod,62')] ).
cnf(329,plain,
( ~ greater(vd486,v1)
| greater(vd488,v1) ),
inference(para_from,[status(thm),theory(equality)],[93,1]),
[iquote('para_from,93.2.1,1.1.2')] ).
cnf(399,plain,
( ~ less(A,B)
| C = B
| C != vplus(A,dollar_f1(B,A)) ),
inference(para_from,[status(thm),theory(equality)],[161,35]),
[iquote('para_from,161.1.1,35.2.1')] ).
cnf(448,plain,
( ~ greater(A,vd488)
| A != vd486 ),
inference(para_from,[status(thm),theory(equality)],[161,1]),
[iquote('para_from,161.1.1,1.1.1')] ).
cnf(451,plain,
( A = B
| greater(A,B)
| ge_q(B,A) ),
inference(hyper,[status(thm)],[68,207]),
[iquote('hyper,68,207')] ).
cnf(465,plain,
( A = B
| greater(A,B)
| less(vmul(A,C),vmul(B,C)) ),
inference(hyper,[status(thm)],[68,2]),
[iquote('hyper,68,2')] ).
cnf(1099,plain,
( greater(vd488,v1)
| vd486 = v1 ),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[329,313])]),
[iquote('hyper,329,313,flip.2')] ).
cnf(1147,plain,
less(vmul(vd488,vd487),vmul(vd487,vd486)),
inference(para_into,[status(thm),theory(equality)],[110,59]),
[iquote('para_into,110.1.2,59.1.1')] ).
cnf(1176,plain,
vmul(vd488,vd487) != vmul(vd486,vd487),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[108,51])]),
[iquote('para_from,108.1.1,51.1.1,flip.1')] ).
cnf(1243,plain,
vmul(vd487,vd488) != vmul(vd486,vd487),
inference(para_into,[status(thm),theory(equality)],[1176,59]),
[iquote('para_into,1176.1.1,59.1.1')] ).
cnf(1591,plain,
dollar_f1(vplus(A,B),A) = B,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[179,148])]),
[iquote('hyper,179,148,flip.1')] ).
cnf(1737,plain,
vplus(A,B) != v1,
inference(para_from,[status(thm),theory(equality)],[218,51]),
[iquote('para_from,218.1.1,51.1.1')] ).
cnf(1743,plain,
( A != v1
| ~ less(B,A) ),
inference(para_into,[status(thm),theory(equality)],[1737,35]),
[iquote('para_into,1737.1.1,35.2.1')] ).
cnf(1834,plain,
( greater(vd487,vd487)
| greater(vd488,v1) ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[328,1099]),62])]),
[iquote('para_into,328.1.1.1,1099.2.1,demod,62,factor_simp')] ).
cnf(1835,plain,
greater(vd488,v1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1834,38]),51]),
[iquote('hyper,1834,38,unit_del,51')] ).
cnf(1841,plain,
less(v1,vd488),
inference(hyper,[status(thm)],[1835,228]),
[iquote('hyper,1835,228')] ).
cnf(1865,plain,
less(A,vmul(vd488,A)),
inference(hyper,[status(thm)],[1841,156]),
[iquote('hyper,1841,156')] ).
cnf(1900,plain,
less(vd487,vmul(vd487,vd486)),
inference(hyper,[status(thm)],[1865,20,1147]),
[iquote('hyper,1865,20,1147')] ).
cnf(1958,plain,
( less(vd487,vd487)
| less(v1,vd486) ),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1900,301]),65]),
[iquote('para_into,1900.1.2.2,301.1.1,demod,65')] ).
cnf(2114,plain,
less(v1,vd486),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1958,35]),51]),
[iquote('hyper,1958,35,unit_del,51')] ).
cnf(2115,plain,
vplus(v1,vskolem2(vd486)) = vd486,
inference(hyper,[status(thm)],[2114,1743,83]),
[iquote('hyper,2114,1743,83')] ).
cnf(2263,plain,
vplus(vskolem2(vd486),v1) = vd486,
inference(para_into,[status(thm),theory(equality)],[2115,71]),
[iquote('para_into,2115.1.1,71.1.1')] ).
cnf(2297,plain,
vskolem2(vd486) = dollar_f1(vd486,v1),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2115,1591])]),
[iquote('para_from,2115.1.1,1591.1.1.1,flip.1')] ).
cnf(2348,plain,
vplus(dollar_f1(vd486,v1),v1) = vd486,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2263]),2297]),
[iquote('back_demod,2263,demod,2297')] ).
cnf(2784,plain,
( vd488 = vd486
| ge_q(vd488,vd486) ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[451,448,2348]),2348,2348])]),
[iquote('hyper,451,448,2347,demod,2348,2348,flip.1')] ).
cnf(2785,plain,
( vd488 = vd486
| greater(vd488,vd486) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2784,149])]),
[iquote('hyper,2784,149,factor_simp')] ).
cnf(2931,plain,
greater(vd488,vd486),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2785,1243]),59]),
[iquote('para_from,2785.1.1,1243.1.1.2,unit_del,59')] ).
cnf(2952,plain,
less(vd486,vd488),
inference(hyper,[status(thm)],[2931,30]),
[iquote('hyper,2931,30')] ).
cnf(2963,plain,
vplus(dollar_f1(vd488,vd486),vd486) = vd488,
inference(hyper,[status(thm)],[2952,399,71]),
[iquote('hyper,2952,399,71')] ).
cnf(3018,plain,
vd488 = vd486,
inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[465,32,117]),1])]),
[iquote('hyper,465,32,117,unit_del,1,flip.1')] ).
cnf(3043,plain,
vplus(dollar_f1(vd486,vd486),vd486) = vd486,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2963]),3018,3018]),
[iquote('back_demod,2963,demod,3018,3018')] ).
cnf(3045,plain,
$false,
inference(binary,[status(thm)],[3043,45]),
[iquote('binary,3043.1,45.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM853+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 09:56:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.95/2.12 ----- Otter 3.3f, August 2004 -----
% 1.95/2.12 The process was started by sandbox2 on n014.cluster.edu,
% 1.95/2.12 Wed Jul 27 09:56:24 2022
% 1.95/2.12 The command was "./otter". The process ID is 1492.
% 1.95/2.12
% 1.95/2.12 set(prolog_style_variables).
% 1.95/2.12 set(auto).
% 1.95/2.12 dependent: set(auto1).
% 1.95/2.12 dependent: set(process_input).
% 1.95/2.12 dependent: clear(print_kept).
% 1.95/2.12 dependent: clear(print_new_demod).
% 1.95/2.12 dependent: clear(print_back_demod).
% 1.95/2.12 dependent: clear(print_back_sub).
% 1.95/2.12 dependent: set(control_memory).
% 1.95/2.12 dependent: assign(max_mem, 12000).
% 1.95/2.12 dependent: assign(pick_given_ratio, 4).
% 1.95/2.12 dependent: assign(stats_level, 1).
% 1.95/2.12 dependent: assign(max_seconds, 10800).
% 1.95/2.12 clear(print_given).
% 1.95/2.12
% 1.95/2.12 formula_list(usable).
% 1.95/2.12 all A (A=A).
% 1.95/2.12 -greater(vd486,vd488).
% 1.95/2.12 greater(vmul(vd486,vd487),vmul(vd488,vd487)).
% 1.95/2.12 all Vd456 Vd465 Vd466 (less(Vd465,Vd466)->less(vmul(Vd465,Vd456),vmul(Vd466,Vd456))).
% 1.95/2.12 all Vd456 Vd461 Vd462 (Vd461=Vd462->vmul(Vd461,Vd456)=vmul(Vd462,Vd456)).
% 1.95/2.12 all Vd456 Vd457 Vd458 (greater(Vd457,Vd458)->greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456))).
% 1.95/2.12 all Vd444 Vd445 Vd446 (vmul(vmul(Vd444,Vd445),Vd446)=vmul(Vd444,vmul(Vd445,Vd446))).
% 1.95/2.12 all Vd432 Vd433 Vd434 (vmul(Vd432,vplus(Vd433,Vd434))=vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434))).
% 1.95/2.12 all Vd418 Vd419 (vmul(Vd418,Vd419)=vmul(Vd419,Vd418)).
% 1.95/2.12 all Vd408 Vd409 (vmul(vsucc(Vd408),Vd409)=vplus(vmul(Vd408,Vd409),Vd409)).
% 1.95/2.12 all Vd400 (vmul(v1,Vd400)=Vd400).
% 1.95/2.12 all Vd396 Vd397 (vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396)&vmul(Vd396,v1)=Vd396).
% 1.95/2.12 all Vd386 Vd387 (less(Vd386,vplus(Vd387,v1))->le_q(Vd386,Vd387)).
% 1.95/2.12 all Vd375 Vd376 (greater(Vd375,Vd376)->ge_q(Vd375,vplus(Vd376,v1))).
% 1.95/2.12 all Vd369 ge_q(Vd369,v1).
% 1.95/2.12 all Vd362 Vd363 Vd365 Vd366 (ge_q(Vd365,Vd366)&ge_q(Vd362,Vd363)->ge_q(vplus(Vd362,Vd365),vplus(Vd363,Vd366))).
% 1.95/2.12 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))).
% 1.95/2.12 all Vd337 Vd338 Vd340 Vd341 (greater(Vd340,Vd341)&greater(Vd337,Vd338)->greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341))).
% 1.95/2.12 all Vd328 Vd329 Vd330 (less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))->less(Vd328,Vd329)).
% 1.95/2.12 all Vd328 Vd329 Vd330 (vplus(Vd328,Vd330)=vplus(Vd329,Vd330)->Vd328=Vd329).
% 1.95/2.12 all Vd328 Vd329 Vd330 (greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))->greater(Vd328,Vd329)).
% 1.95/2.12 all Vd301 Vd302 Vd303 (less(Vd301,Vd302)->less(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 1.95/2.12 all Vd301 Vd302 Vd303 (Vd301=Vd302->vplus(Vd301,Vd303)=vplus(Vd302,Vd303)).
% 1.95/2.12 all Vd301 Vd302 Vd303 (greater(Vd301,Vd302)->greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))).
% 1.95/2.12 all Vd295 Vd296 greater(vplus(Vd295,Vd296),Vd295).
% 1.95/2.12 all Vd289 Vd290 Vd292 (le_q(Vd290,Vd292)&le_q(Vd289,Vd290)->le_q(Vd289,Vd292)).
% 1.95/2.12 all Vd281 Vd282 Vd283 (less(Vd282,Vd283)&le_q(Vd281,Vd282)|le_q(Vd282,Vd283)&less(Vd281,Vd282)->less(Vd281,Vd283)).
% 1.95/2.12 all Vd262 Vd263 Vd265 (less(Vd263,Vd265)&less(Vd262,Vd263)->less(Vd262,Vd265)).
% 1.95/2.12 all Vd258 Vd259 (le_q(Vd258,Vd259)->ge_q(Vd259,Vd258)).
% 1.95/2.12 all Vd254 Vd255 (ge_q(Vd254,Vd255)->le_q(Vd255,Vd254)).
% 1.95/2.12 all Vd249 Vd250 (le_q(Vd250,Vd249)<->less(Vd250,Vd249)|Vd250=Vd249).
% 1.95/2.12 all Vd244 Vd245 (ge_q(Vd245,Vd244)<->greater(Vd245,Vd244)|Vd245=Vd244).
% 1.95/2.12 all Vd226 Vd227 (less(Vd226,Vd227)->greater(Vd227,Vd226)).
% 1.95/2.12 all Vd208 Vd209 (greater(Vd208,Vd209)->less(Vd209,Vd208)).
% 1.95/2.12 all Vd203 Vd204 (Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204)).
% 1.95/2.12 all Vd203 Vd204 (Vd203!=Vd204| -less(Vd203,Vd204)).
% 1.95/2.12 all Vd203 Vd204 (-greater(Vd203,Vd204)| -less(Vd203,Vd204)).
% 1.95/2.12 all Vd203 Vd204 (Vd203!=Vd204| -greater(Vd203,Vd204)).
% 1.95/2.12 all Vd198 Vd199 (less(Vd199,Vd198)<-> (exists Vd201 (Vd198=vplus(Vd199,Vd201)))).
% 1.95/2.12 all Vd193 Vd194 (greater(Vd194,Vd193)<-> (exists Vd196 (Vd194=vplus(Vd193,Vd196)))).
% 1.95/2.12 all Vd120 Vd121 (Vd120=Vd121| (exists Vd123 (Vd120=vplus(Vd121,Vd123)))| (exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.95/2.12 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.95/2.12 all Vd120 Vd121 (-(exists Vd123 (Vd120=vplus(Vd121,Vd123)))| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.95/2.12 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd123 (Vd120=vplus(Vd121,Vd123)))).
% 1.95/2.12 all Vd104 Vd105 (Vd104!=Vd105-> (all Vd107 (vplus(Vd107,Vd104)!=vplus(Vd107,Vd105)))).
% 1.95/2.12 all Vd92 Vd93 (Vd93!=vplus(Vd92,Vd93)).
% 1.95/2.12 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 1.95/2.12 all Vd68 Vd69 (vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69))).
% 1.95/2.12 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 1.95/2.12 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 1.95/2.12 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 1.95/2.12 all Vd24 (Vd24!=v1->Vd24=vsucc(vskolem2(Vd24))).
% 1.95/2.12 all Vd16 (vsucc(Vd16)!=Vd16).
% 1.95/2.12 all Vd7 Vd8 (Vd7!=Vd8->vsucc(Vd7)!=vsucc(Vd8)).
% 1.95/2.12 all Vd3 Vd4 (vsucc(Vd3)=vsucc(Vd4)->Vd3=Vd4).
% 1.95/2.12 all Vd1 (vsucc(Vd1)!=v1).
% 1.95/2.12 end_of_list.
% 1.95/2.12
% 1.95/2.12 -------> usable clausifies to:
% 1.95/2.12
% 1.95/2.12 list(usable).
% 1.95/2.12 0 [] A=A.
% 1.95/2.12 0 [] -greater(vd486,vd488).
% 1.95/2.12 0 [] greater(vmul(vd486,vd487),vmul(vd488,vd487)).
% 1.95/2.12 0 [] -less(Vd465,Vd466)|less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)).
% 1.95/2.12 0 [] Vd461!=Vd462|vmul(Vd461,Vd456)=vmul(Vd462,Vd456).
% 1.95/2.12 0 [] -greater(Vd457,Vd458)|greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)).
% 1.95/2.12 0 [] vmul(vmul(Vd444,Vd445),Vd446)=vmul(Vd444,vmul(Vd445,Vd446)).
% 1.95/2.12 0 [] vmul(Vd432,vplus(Vd433,Vd434))=vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)).
% 1.95/2.12 0 [] vmul(Vd418,Vd419)=vmul(Vd419,Vd418).
% 1.95/2.12 0 [] vmul(vsucc(Vd408),Vd409)=vplus(vmul(Vd408,Vd409),Vd409).
% 1.95/2.12 0 [] vmul(v1,Vd400)=Vd400.
% 1.95/2.12 0 [] vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396).
% 1.95/2.12 0 [] vmul(Vd396,v1)=Vd396.
% 1.95/2.12 0 [] -less(Vd386,vplus(Vd387,v1))|le_q(Vd386,Vd387).
% 1.95/2.12 0 [] -greater(Vd375,Vd376)|ge_q(Vd375,vplus(Vd376,v1)).
% 1.95/2.12 0 [] ge_q(Vd369,v1).
% 1.95/2.12 0 [] -ge_q(Vd365,Vd366)| -ge_q(Vd362,Vd363)|ge_q(vplus(Vd362,Vd365),vplus(Vd363,Vd366)).
% 1.95/2.12 0 [] -greater(Vd355,Vd356)| -ge_q(Vd353,Vd354)|greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356)).
% 1.95/2.12 0 [] -ge_q(Vd355,Vd356)| -greater(Vd353,Vd354)|greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356)).
% 1.95/2.12 0 [] -greater(Vd340,Vd341)| -greater(Vd337,Vd338)|greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)).
% 1.95/2.12 0 [] -less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|less(Vd328,Vd329).
% 1.95/2.12 0 [] vplus(Vd328,Vd330)!=vplus(Vd329,Vd330)|Vd328=Vd329.
% 1.95/2.12 0 [] -greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))|greater(Vd328,Vd329).
% 1.95/2.12 0 [] -less(Vd301,Vd302)|less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 1.95/2.12 0 [] Vd301!=Vd302|vplus(Vd301,Vd303)=vplus(Vd302,Vd303).
% 1.95/2.12 0 [] -greater(Vd301,Vd302)|greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)).
% 1.95/2.12 0 [] greater(vplus(Vd295,Vd296),Vd295).
% 1.95/2.12 0 [] -le_q(Vd290,Vd292)| -le_q(Vd289,Vd290)|le_q(Vd289,Vd292).
% 1.95/2.12 0 [] -less(Vd282,Vd283)| -le_q(Vd281,Vd282)|less(Vd281,Vd283).
% 1.95/2.12 0 [] -le_q(Vd282,Vd283)| -less(Vd281,Vd282)|less(Vd281,Vd283).
% 1.95/2.12 0 [] -less(Vd263,Vd265)| -less(Vd262,Vd263)|less(Vd262,Vd265).
% 1.95/2.12 0 [] -le_q(Vd258,Vd259)|ge_q(Vd259,Vd258).
% 1.95/2.12 0 [] -ge_q(Vd254,Vd255)|le_q(Vd255,Vd254).
% 1.95/2.12 0 [] -le_q(Vd250,Vd249)|less(Vd250,Vd249)|Vd250=Vd249.
% 1.95/2.12 0 [] le_q(Vd250,Vd249)| -less(Vd250,Vd249).
% 1.95/2.12 0 [] le_q(Vd250,Vd249)|Vd250!=Vd249.
% 1.95/2.12 0 [] -ge_q(Vd245,Vd244)|greater(Vd245,Vd244)|Vd245=Vd244.
% 1.95/2.12 0 [] ge_q(Vd245,Vd244)| -greater(Vd245,Vd244).
% 1.95/2.12 0 [] ge_q(Vd245,Vd244)|Vd245!=Vd244.
% 1.95/2.12 0 [] -less(Vd226,Vd227)|greater(Vd227,Vd226).
% 1.95/2.12 0 [] -greater(Vd208,Vd209)|less(Vd209,Vd208).
% 1.95/2.12 0 [] Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204).
% 1.95/2.12 0 [] Vd203!=Vd204| -less(Vd203,Vd204).
% 1.95/2.12 0 [] -greater(Vd203,Vd204)| -less(Vd203,Vd204).
% 1.95/2.12 0 [] Vd203!=Vd204| -greater(Vd203,Vd204).
% 1.95/2.12 0 [] -less(Vd199,Vd198)|Vd198=vplus(Vd199,$f1(Vd198,Vd199)).
% 1.95/2.12 0 [] less(Vd199,Vd198)|Vd198!=vplus(Vd199,Vd201).
% 1.95/2.12 0 [] -greater(Vd194,Vd193)|Vd194=vplus(Vd193,$f2(Vd193,Vd194)).
% 1.95/2.12 0 [] greater(Vd194,Vd193)|Vd194!=vplus(Vd193,Vd196).
% 1.95/2.12 0 [] Vd120=Vd121|Vd120=vplus(Vd121,$f3(Vd120,Vd121))|Vd121=vplus(Vd120,$f4(Vd120,Vd121)).
% 1.95/2.12 0 [] Vd120!=Vd121|Vd121!=vplus(Vd120,Vd125).
% 1.95/2.12 0 [] Vd120!=vplus(Vd121,Vd123)|Vd121!=vplus(Vd120,Vd125).
% 1.95/2.12 0 [] Vd120!=Vd121|Vd120!=vplus(Vd121,Vd123).
% 1.95/2.12 0 [] Vd104=Vd105|vplus(Vd107,Vd104)!=vplus(Vd107,Vd105).
% 1.95/2.12 0 [] Vd93!=vplus(Vd92,Vd93).
% 1.95/2.12 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 1.95/2.12 0 [] vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69)).
% 1.95/2.12 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 1.95/2.12 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 1.95/2.12 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 1.95/2.12 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 1.95/2.12 0 [] Vd24=v1|Vd24=vsucc(vskolem2(Vd24)).
% 1.95/2.12 0 [] vsucc(Vd16)!=Vd16.
% 1.95/2.12 0 [] Vd7=Vd8|vsucc(Vd7)!=vsucc(Vd8).
% 1.95/2.12 0 [] vsucc(Vd3)!=vsucc(Vd4)|Vd3=Vd4.
% 1.95/2.12 0 [] vsucc(Vd1)!=v1.
% 1.95/2.12 end_of_list.
% 1.95/2.12
% 1.95/2.12 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.95/2.12
% 1.95/2.12 This ia a non-Horn set with equality. The strategy will be
% 1.95/2.12 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.95/2.12 deletion, with positive clauses in sos and nonpositive
% 1.95/2.12 clauses in usable.
% 1.95/2.12
% 1.95/2.12 dependent: set(knuth_bendix).
% 1.95/2.12 dependent: set(anl_eq).
% 1.95/2.12 dependent: set(para_from).
% 1.95/2.12 dependent: set(para_into).
% 1.95/2.12 dependent: clear(para_from_right).
% 1.95/2.12 dependent: clear(para_into_right).
% 1.95/2.12 dependent: set(para_from_vars).
% 1.95/2.12 dependent: set(eq_units_both_ways).
% 1.95/2.12 dependent: set(dynamic_demod_all).
% 1.95/2.12 dependent: set(dynamic_demod).
% 1.95/2.12 dependent: set(order_eq).
% 1.95/2.12 dependent: set(back_demod).
% 1.95/2.12 dependent: set(lrpo).
% 1.95/2.12 dependent: set(hyper_res).
% 1.95/2.12 dependent: set(unit_deletion).
% 1.95/2.12 dependent: set(factor).
% 1.95/2.12
% 1.95/2.12 ------------> process usable:
% 1.95/2.12 ** KEPT (pick-wt=3): 1 [] -greater(vd486,vd488).
% 1.95/2.12 ** KEPT (pick-wt=10): 2 [] -less(A,B)|less(vmul(A,C),vmul(B,C)).
% 1.95/2.12 ** KEPT (pick-wt=10): 3 [] A!=B|vmul(A,C)=vmul(B,C).
% 1.95/2.12 ** KEPT (pick-wt=10): 4 [] -greater(A,B)|greater(vmul(A,C),vmul(B,C)).
% 1.95/2.12 ** KEPT (pick-wt=8): 5 [] -less(A,vplus(B,v1))|le_q(A,B).
% 1.95/2.12 ** KEPT (pick-wt=8): 6 [] -greater(A,B)|ge_q(A,vplus(B,v1)).
% 1.95/2.12 ** KEPT (pick-wt=13): 7 [] -ge_q(A,B)| -ge_q(C,D)|ge_q(vplus(C,A),vplus(D,B)).
% 1.95/2.12 ** KEPT (pick-wt=13): 8 [] -greater(A,B)| -ge_q(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.95/2.12 ** KEPT (pick-wt=13): 9 [] -ge_q(A,B)| -greater(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.95/2.12 ** KEPT (pick-wt=13): 10 [] -greater(A,B)| -greater(C,D)|greater(vplus(C,A),vplus(D,B)).
% 1.95/2.12 ** KEPT (pick-wt=10): 11 [] -less(vplus(A,B),vplus(C,B))|less(A,C).
% 1.95/2.12 ** KEPT (pick-wt=10): 12 [] vplus(A,B)!=vplus(C,B)|A=C.
% 1.95/2.12 ** KEPT (pick-wt=10): 13 [] -greater(vplus(A,B),vplus(C,B))|greater(A,C).
% 1.95/2.12 ** KEPT (pick-wt=10): 14 [] -less(A,B)|less(vplus(A,C),vplus(B,C)).
% 1.95/2.12 ** KEPT (pick-wt=10): 15 [] A!=B|vplus(A,C)=vplus(B,C).
% 1.95/2.12 ** KEPT (pick-wt=10): 16 [] -greater(A,B)|greater(vplus(A,C),vplus(B,C)).
% 1.95/2.12 ** KEPT (pick-wt=9): 17 [] -le_q(A,B)| -le_q(C,A)|le_q(C,B).
% 1.95/2.12 ** KEPT (pick-wt=9): 18 [] -less(A,B)| -le_q(C,A)|less(C,B).
% 1.95/2.12 ** KEPT (pick-wt=9): 19 [] -le_q(A,B)| -less(C,A)|less(C,B).
% 1.95/2.12 ** KEPT (pick-wt=9): 20 [] -less(A,B)| -less(C,A)|less(C,B).
% 1.95/2.12 ** KEPT (pick-wt=6): 21 [] -le_q(A,B)|ge_q(B,A).
% 1.95/2.12 ** KEPT (pick-wt=6): 22 [] -ge_q(A,B)|le_q(B,A).
% 1.95/2.12 ** KEPT (pick-wt=9): 23 [] -le_q(A,B)|less(A,B)|A=B.
% 1.95/2.12 ** KEPT (pick-wt=6): 24 [] le_q(A,B)| -less(A,B).
% 1.95/2.12 ** KEPT (pick-wt=6): 25 [] le_q(A,B)|A!=B.
% 1.95/2.12 ** KEPT (pick-wt=9): 26 [] -ge_q(A,B)|greater(A,B)|A=B.
% 1.95/2.12 ** KEPT (pick-wt=6): 27 [] ge_q(A,B)| -greater(A,B).
% 1.95/2.12 ** KEPT (pick-wt=6): 28 [] ge_q(A,B)|A!=B.
% 1.95/2.12 ** KEPT (pick-wt=6): 29 [] -less(A,B)|greater(B,A).
% 1.95/2.12 ** KEPT (pick-wt=6): 30 [] -greater(A,B)|less(B,A).
% 1.95/2.12 ** KEPT (pick-wt=6): 31 [] A!=B| -less(A,B).
% 1.95/2.12 ** KEPT (pick-wt=6): 32 [] -greater(A,B)| -less(A,B).
% 1.95/2.12 ** KEPT (pick-wt=6): 33 [] A!=B| -greater(A,B).
% 1.95/2.12 ** KEPT (pick-wt=10): 35 [copy,34,flip.2] -less(A,B)|vplus(A,$f1(B,A))=B.
% 1.95/2.12 ** KEPT (pick-wt=8): 36 [] less(A,B)|B!=vplus(A,C).
% 1.95/2.12 ** KEPT (pick-wt=10): 38 [copy,37,flip.2] -greater(A,B)|vplus(B,$f2(B,A))=A.
% 1.95/2.12 ** KEPT (pick-wt=8): 39 [] greater(A,B)|A!=vplus(B,C).
% 1.95/2.12 ** KEPT (pick-wt=8): 40 [] A!=B|B!=vplus(A,C).
% 1.95/2.12 ** KEPT (pick-wt=10): 41 [] A!=vplus(B,C)|B!=vplus(A,D).
% 1.95/2.12 ** KEPT (pick-wt=8): 42 [] A!=B|A!=vplus(B,C).
% 1.95/2.12 ** KEPT (pick-wt=10): 43 [] A=B|vplus(C,A)!=vplus(C,B).
% 1.95/2.12 ** KEPT (pick-wt=5): 45 [copy,44,flip.1] vplus(A,B)!=B.
% 1.95/2.12 ** KEPT (pick-wt=4): 46 [] vsucc(A)!=A.
% 1.95/2.12 ** KEPT (pick-wt=8): 47 [] A=B|vsucc(A)!=vsucc(B).
% 1.95/2.12 Following clause subsumed by 47 during input processing: 0 [] vsucc(A)!=vsucc(B)|A=B.
% 1.95/2.12 ** KEPT (pick-wt=4): 48 [] vsucc(A)!=v1.
% 1.95/2.12
% 1.95/2.12 ------------> process sos:
% 1.95/2.12 ** KEPT (pick-wt=3): 52 [] A=A.
% 1.95/2.12 ** KEPT (pick-wt=7): 53 [] greater(vmul(vd486,vd487),vmul(vd488,vd487)).
% 1.95/2.12 ** KEPT (pick-wt=11): 54 [] vmul(vmul(A,B),C)=vmul(A,vmul(B,C)).
% 1.95/2.12 ---> New Demodulator: 55 [new_demod,54] vmul(vmul(A,B),C)=vmul(A,vmul(B,C)).
% 1.95/2.12 ** KEPT (pick-wt=13): 57 [copy,56,flip.1] vplus(vmul(A,B),vmul(A,C))=vmul(A,vplus(B,C)).
% 1.95/2.12 ---> New Demodulator: 58 [new_demod,57] vplus(vmul(A,B),vmul(A,C))=vmul(A,vplus(B,C)).
% 1.95/2.12 ** KEPT (pick-wt=7): 59 [] vmul(A,B)=vmul(B,A).
% 1.95/2.12 ** KEPT (pick-wt=10): 60 [] vmul(vsucc(A),B)=vplus(vmul(A,B),B).
% 1.95/2.12 ** KEPT (pick-wt=5): 61 [] vmul(v1,A)=A.
% 76.95/77.13 ---> New Demodulator: 62 [new_demod,61] vmul(v1,A)=A.
% 76.95/77.13 ** KEPT (pick-wt=10): 63 [] vmul(A,vsucc(B))=vplus(vmul(A,B),A).
% 76.95/77.13 ** KEPT (pick-wt=5): 64 [] vmul(A,v1)=A.
% 76.95/77.13 ---> New Demodulator: 65 [new_demod,64] vmul(A,v1)=A.
% 76.95/77.13 ** KEPT (pick-wt=3): 66 [] ge_q(A,v1).
% 76.95/77.13 ** KEPT (pick-wt=5): 67 [] greater(vplus(A,B),A).
% 76.95/77.13 ** KEPT (pick-wt=9): 68 [] A=B|greater(A,B)|less(A,B).
% 76.95/77.13 ** KEPT (pick-wt=17): 70 [copy,69,flip.2,flip.3] A=B|vplus(B,$f3(A,B))=A|vplus(A,$f4(A,B))=B.
% 76.95/77.13 ** KEPT (pick-wt=7): 71 [] vplus(A,B)=vplus(B,A).
% 76.95/77.13 ** KEPT (pick-wt=9): 73 [copy,72,flip.1] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 76.95/77.13 ---> New Demodulator: 74 [new_demod,73] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 76.95/77.13 ** KEPT (pick-wt=6): 76 [copy,75,flip.1] vsucc(A)=vplus(v1,A).
% 76.95/77.13 ---> New Demodulator: 77 [new_demod,76] vsucc(A)=vplus(v1,A).
% 76.95/77.13 ** KEPT (pick-wt=11): 78 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 76.95/77.13 ---> New Demodulator: 79 [new_demod,78] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 76.95/77.13 ** KEPT (pick-wt=11): 81 [copy,80,demod,77,77] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 76.95/77.13 Following clause subsumed by 71 during input processing: 0 [demod,77] vplus(A,v1)=vplus(v1,A).
% 76.95/77.13 ** KEPT (pick-wt=9): 83 [copy,82,demod,77,flip.2] A=v1|vplus(v1,vskolem2(A))=A.
% 76.95/77.13 Following clause subsumed by 52 during input processing: 0 [copy,52,flip.1] A=A.
% 76.95/77.13 >>>> Starting back demodulation with 55.
% 76.95/77.13 >>>> Starting back demodulation with 58.
% 76.95/77.13 Following clause subsumed by 59 during input processing: 0 [copy,59,flip.1] vmul(A,B)=vmul(B,A).
% 76.95/77.13 ** KEPT (pick-wt=11): 84 [copy,60,flip.1,demod,77] vplus(vmul(A,B),B)=vmul(vplus(v1,A),B).
% 76.95/77.13 ---> New Demodulator: 85 [new_demod,84] vplus(vmul(A,B),B)=vmul(vplus(v1,A),B).
% 76.95/77.13 >>>> Starting back demodulation with 62.
% 76.95/77.13 ** KEPT (pick-wt=11): 86 [copy,63,flip.1,demod,77] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 76.95/77.13 ---> New Demodulator: 87 [new_demod,86] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 76.95/77.13 >>>> Starting back demodulation with 65.
% 76.95/77.13 Following clause subsumed by 71 during input processing: 0 [copy,71,flip.1] vplus(A,B)=vplus(B,A).
% 76.95/77.13 >>>> Starting back demodulation with 74.
% 76.95/77.13 >>>> Starting back demodulation with 77.
% 76.95/77.13 >> back demodulating 73 with 77.
% 76.95/77.13 >> back demodulating 63 with 77.
% 76.95/77.13 >> back demodulating 60 with 77.
% 76.95/77.13 >> back demodulating 48 with 77.
% 76.95/77.13 >> back demodulating 47 with 77.
% 76.95/77.13 >> back demodulating 46 with 77.
% 76.95/77.13 >>>> Starting back demodulation with 79.
% 76.95/77.13 ** KEPT (pick-wt=11): 88 [copy,81,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 76.95/77.13 >>>> Starting back demodulation with 85.
% 76.95/77.13 >>>> Starting back demodulation with 87.
% 76.95/77.13 Following clause subsumed by 81 during input processing: 0 [copy,88,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 76.95/77.13
% 76.95/77.13 ======= end of input processing =======
% 76.95/77.13
% 76.95/77.13 =========== start of search ===========
% 76.95/77.13
% 76.95/77.13
% 76.95/77.13 Resetting weight limit to 8.
% 76.95/77.13
% 76.95/77.13
% 76.95/77.13 Resetting weight limit to 8.
% 76.95/77.13
% 76.95/77.13 sos_size=919
% 76.95/77.13
% 76.95/77.13
% 76.95/77.13 Resetting weight limit to 7.
% 76.95/77.13
% 76.95/77.13
% 76.95/77.13 Resetting weight limit to 7.
% 76.95/77.13
% 76.95/77.13 sos_size=946
% 76.95/77.13
% 76.95/77.13 -- HEY sandbox2, WE HAVE A PROOF!! --
% 76.95/77.13
% 76.95/77.13 ----> UNIT CONFLICT at 75.01 sec ----> 3045 [binary,3043.1,45.1] $F.
% 76.95/77.13
% 76.95/77.13 Length of proof is 55. Level of proof is 19.
% 76.95/77.13
% 76.95/77.13 ---------------- PROOF ----------------
% 76.95/77.13 % SZS status Theorem
% 76.95/77.13 % SZS output start Refutation
% See solution above
% 76.95/77.13 ------------ end of proof -------------
% 76.95/77.13
% 76.95/77.13
% 76.95/77.13 Search stopped by max_proofs option.
% 76.95/77.13
% 76.95/77.13
% 76.95/77.13 Search stopped by max_proofs option.
% 76.95/77.13
% 76.95/77.13 ============ end of search ============
% 76.95/77.13
% 76.95/77.13 -------------- statistics -------------
% 76.95/77.13 clauses given 1541
% 76.95/77.13 clauses generated 10125855
% 76.95/77.13 clauses kept 2930
% 76.95/77.13 clauses forward subsumed 66355
% 76.95/77.13 clauses back subsumed 568
% 76.95/77.13 Kbytes malloced 7812
% 76.95/77.13
% 76.95/77.13 ----------- times (seconds) -----------
% 76.95/77.13 user CPU time 75.01 (0 hr, 1 min, 15 sec)
% 76.95/77.13 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 76.95/77.13 wall-clock time 77 (0 hr, 1 min, 17 sec)
% 76.95/77.13
% 76.95/77.13 That finishes the proof of the theorem.
% 76.95/77.13
% 76.95/77.13 Process 1492 finished Wed Jul 27 09:57:41 2022
% 76.95/77.13 Otter interrupted
% 76.95/77.13 PROOF FOUND
%------------------------------------------------------------------------------