TSTP Solution File: NUM838+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 13:10:03 EDT 2022
% Result : Theorem 1.97s 2.19s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
file('NUM838+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ greater(A,B)
| greater(vplus(A,C),vplus(B,C)) ),
file('NUM838+1.p',unknown),
[] ).
cnf(48,axiom,
greater(vd301,vd302),
file('NUM838+1.p',unknown),
[] ).
cnf(78,plain,
greater(vplus(vd301,A),vplus(vd302,A)),
inference(hyper,[status(thm)],[48,6]),
[iquote('hyper,48,6')] ).
cnf(79,plain,
$false,
inference(binary,[status(thm)],[78,1]),
[iquote('binary,78.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n015.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 10:03:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.97/2.19 ----- Otter 3.3f, August 2004 -----
% 1.97/2.19 The process was started by sandbox2 on n015.cluster.edu,
% 1.97/2.19 Wed Jul 27 10:03:27 2022
% 1.97/2.19 The command was "./otter". The process ID is 28557.
% 1.97/2.19
% 1.97/2.19 set(prolog_style_variables).
% 1.97/2.19 set(auto).
% 1.97/2.19 dependent: set(auto1).
% 1.97/2.19 dependent: set(process_input).
% 1.97/2.19 dependent: clear(print_kept).
% 1.97/2.19 dependent: clear(print_new_demod).
% 1.97/2.19 dependent: clear(print_back_demod).
% 1.97/2.19 dependent: clear(print_back_sub).
% 1.97/2.19 dependent: set(control_memory).
% 1.97/2.19 dependent: assign(max_mem, 12000).
% 1.97/2.19 dependent: assign(pick_given_ratio, 4).
% 1.97/2.19 dependent: assign(stats_level, 1).
% 1.97/2.19 dependent: assign(max_seconds, 10800).
% 1.97/2.19 clear(print_given).
% 1.97/2.19
% 1.97/2.19 formula_list(usable).
% 1.97/2.19 all A (A=A).
% 1.97/2.19 -greater(vplus(vd301,vd303),vplus(vd302,vd303)).
% 1.97/2.19 greater(vd301,vd302).
% 1.97/2.19 all Vd310 Vd322 Vd323 (less(Vd322,Vd323)->less(vplus(Vd322,Vd310),vplus(Vd323,Vd310))).
% 1.97/2.19 all Vd310 Vd322 Vd323 (less(Vd322,Vd323)->greater(vplus(Vd323,Vd310),vplus(Vd322,Vd310))).
% 1.97/2.19 all Vd310 Vd322 Vd323 (less(Vd322,Vd323)->greater(Vd323,Vd322)).
% 1.97/2.19 all Vd310 Vd318 Vd319 (Vd318=Vd319->vplus(Vd318,Vd310)=vplus(Vd319,Vd310)).
% 1.97/2.19 all Vd310 Vd311 Vd312 (greater(Vd311,Vd312)->greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310))).
% 1.97/2.19 all Vd310 Vd311 Vd312 (greater(Vd311,Vd312)->vplus(vskolem7(Vd311,Vd312),vplus(Vd312,Vd310))=vplus(vplus(Vd312,Vd310),vskolem7(Vd311,Vd312))).
% 1.97/2.19 all Vd310 Vd311 Vd312 (greater(Vd311,Vd312)->vplus(vplus(vskolem7(Vd311,Vd312),Vd312),Vd310)=vplus(vskolem7(Vd311,Vd312),vplus(Vd312,Vd310))).
% 1.97/2.19 all Vd310 Vd311 Vd312 (greater(Vd311,Vd312)->vplus(vplus(Vd312,vskolem7(Vd311,Vd312)),Vd310)=vplus(vplus(vskolem7(Vd311,Vd312),Vd312),Vd310)).
% 1.97/2.19 all Vd310 Vd311 Vd312 (greater(Vd311,Vd312)->vplus(Vd311,Vd310)=vplus(vplus(Vd312,vskolem7(Vd311,Vd312)),Vd310)).
% 1.97/2.19 all Vd310 Vd311 Vd312 (greater(Vd311,Vd312)->Vd311=vplus(Vd312,vskolem7(Vd311,Vd312))).
% 1.97/2.19 all Vd295 Vd296 greater(vplus(Vd295,Vd296),Vd295).
% 1.97/2.19 all Vd289 Vd290 Vd292 (le_q(Vd290,Vd292)&le_q(Vd289,Vd290)->le_q(Vd289,Vd292)).
% 1.97/2.19 all Vd281 Vd282 Vd283 (less(Vd282,Vd283)&le_q(Vd281,Vd282)|le_q(Vd282,Vd283)&less(Vd281,Vd282)->less(Vd281,Vd283)).
% 1.97/2.19 all Vd262 Vd263 Vd265 (less(Vd263,Vd265)&less(Vd262,Vd263)->less(Vd262,Vd265)).
% 1.97/2.19 all Vd258 Vd259 (le_q(Vd258,Vd259)->ge_q(Vd259,Vd258)).
% 1.97/2.19 all Vd254 Vd255 (ge_q(Vd254,Vd255)->le_q(Vd255,Vd254)).
% 1.97/2.19 all Vd249 Vd250 (le_q(Vd250,Vd249)<->less(Vd250,Vd249)|Vd250=Vd249).
% 1.97/2.19 all Vd244 Vd245 (ge_q(Vd245,Vd244)<->greater(Vd245,Vd244)|Vd245=Vd244).
% 1.97/2.19 all Vd226 Vd227 (less(Vd226,Vd227)->greater(Vd227,Vd226)).
% 1.97/2.19 all Vd208 Vd209 (greater(Vd208,Vd209)->less(Vd209,Vd208)).
% 1.97/2.19 all Vd203 Vd204 (Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204)).
% 1.97/2.19 all Vd203 Vd204 (Vd203!=Vd204| -less(Vd203,Vd204)).
% 1.97/2.19 all Vd203 Vd204 (-greater(Vd203,Vd204)| -less(Vd203,Vd204)).
% 1.97/2.19 all Vd203 Vd204 (Vd203!=Vd204| -greater(Vd203,Vd204)).
% 1.97/2.19 all Vd198 Vd199 (less(Vd199,Vd198)<-> (exists Vd201 (Vd198=vplus(Vd199,Vd201)))).
% 1.97/2.19 all Vd193 Vd194 (greater(Vd194,Vd193)<-> (exists Vd196 (Vd194=vplus(Vd193,Vd196)))).
% 1.97/2.19 all Vd120 Vd121 (Vd120=Vd121| (exists Vd123 (Vd120=vplus(Vd121,Vd123)))| (exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.97/2.19 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.97/2.19 all Vd120 Vd121 (-(exists Vd123 (Vd120=vplus(Vd121,Vd123)))| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.97/2.19 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd123 (Vd120=vplus(Vd121,Vd123)))).
% 1.97/2.19 all Vd104 Vd105 (Vd104!=Vd105-> (all Vd107 (vplus(Vd107,Vd104)!=vplus(Vd107,Vd105)))).
% 1.97/2.19 all Vd92 Vd93 (Vd93!=vplus(Vd92,Vd93)).
% 1.97/2.19 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 1.97/2.19 all Vd68 Vd69 (vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69))).
% 1.97/2.19 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 1.97/2.19 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 1.97/2.19 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 1.97/2.19 all Vd24 (Vd24!=v1->Vd24=vsucc(vskolem2(Vd24))).
% 1.97/2.19 all Vd16 (vsucc(Vd16)!=Vd16).
% 1.97/2.19 all Vd7 Vd8 (Vd7!=Vd8->vsucc(Vd7)!=vsucc(Vd8)).
% 1.97/2.19 all Vd3 Vd4 (vsucc(Vd3)=vsucc(Vd4)->Vd3=Vd4).
% 1.97/2.19 all Vd1 (vsucc(Vd1)!=v1).
% 1.97/2.19 end_of_list.
% 1.97/2.19
% 1.97/2.19 -------> usable clausifies to:
% 1.97/2.19
% 1.97/2.19 list(usable).
% 1.97/2.19 0 [] A=A.
% 1.97/2.19 0 [] -greater(vplus(vd301,vd303),vplus(vd302,vd303)).
% 1.97/2.19 0 [] greater(vd301,vd302).
% 1.97/2.19 0 [] -less(Vd322,Vd323)|less(vplus(Vd322,Vd310),vplus(Vd323,Vd310)).
% 1.97/2.19 0 [] -less(Vd322,Vd323)|greater(vplus(Vd323,Vd310),vplus(Vd322,Vd310)).
% 1.97/2.19 0 [] -less(Vd322,Vd323)|greater(Vd323,Vd322).
% 1.97/2.19 0 [] Vd318!=Vd319|vplus(Vd318,Vd310)=vplus(Vd319,Vd310).
% 1.97/2.19 0 [] -greater(Vd311,Vd312)|greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310)).
% 1.97/2.19 0 [] -greater(Vd311,Vd312)|vplus(vskolem7(Vd311,Vd312),vplus(Vd312,Vd310))=vplus(vplus(Vd312,Vd310),vskolem7(Vd311,Vd312)).
% 1.97/2.19 0 [] -greater(Vd311,Vd312)|vplus(vplus(vskolem7(Vd311,Vd312),Vd312),Vd310)=vplus(vskolem7(Vd311,Vd312),vplus(Vd312,Vd310)).
% 1.97/2.19 0 [] -greater(Vd311,Vd312)|vplus(vplus(Vd312,vskolem7(Vd311,Vd312)),Vd310)=vplus(vplus(vskolem7(Vd311,Vd312),Vd312),Vd310).
% 1.97/2.19 0 [] -greater(Vd311,Vd312)|vplus(Vd311,Vd310)=vplus(vplus(Vd312,vskolem7(Vd311,Vd312)),Vd310).
% 1.97/2.19 0 [] -greater(Vd311,Vd312)|Vd311=vplus(Vd312,vskolem7(Vd311,Vd312)).
% 1.97/2.19 0 [] greater(vplus(Vd295,Vd296),Vd295).
% 1.97/2.19 0 [] -le_q(Vd290,Vd292)| -le_q(Vd289,Vd290)|le_q(Vd289,Vd292).
% 1.97/2.19 0 [] -less(Vd282,Vd283)| -le_q(Vd281,Vd282)|less(Vd281,Vd283).
% 1.97/2.19 0 [] -le_q(Vd282,Vd283)| -less(Vd281,Vd282)|less(Vd281,Vd283).
% 1.97/2.19 0 [] -less(Vd263,Vd265)| -less(Vd262,Vd263)|less(Vd262,Vd265).
% 1.97/2.19 0 [] -le_q(Vd258,Vd259)|ge_q(Vd259,Vd258).
% 1.97/2.19 0 [] -ge_q(Vd254,Vd255)|le_q(Vd255,Vd254).
% 1.97/2.19 0 [] -le_q(Vd250,Vd249)|less(Vd250,Vd249)|Vd250=Vd249.
% 1.97/2.19 0 [] le_q(Vd250,Vd249)| -less(Vd250,Vd249).
% 1.97/2.19 0 [] le_q(Vd250,Vd249)|Vd250!=Vd249.
% 1.97/2.19 0 [] -ge_q(Vd245,Vd244)|greater(Vd245,Vd244)|Vd245=Vd244.
% 1.97/2.19 0 [] ge_q(Vd245,Vd244)| -greater(Vd245,Vd244).
% 1.97/2.19 0 [] ge_q(Vd245,Vd244)|Vd245!=Vd244.
% 1.97/2.19 0 [] -less(Vd226,Vd227)|greater(Vd227,Vd226).
% 1.97/2.19 0 [] -greater(Vd208,Vd209)|less(Vd209,Vd208).
% 1.97/2.19 0 [] Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204).
% 1.97/2.19 0 [] Vd203!=Vd204| -less(Vd203,Vd204).
% 1.97/2.19 0 [] -greater(Vd203,Vd204)| -less(Vd203,Vd204).
% 1.97/2.19 0 [] Vd203!=Vd204| -greater(Vd203,Vd204).
% 1.97/2.19 0 [] -less(Vd199,Vd198)|Vd198=vplus(Vd199,$f1(Vd198,Vd199)).
% 1.97/2.19 0 [] less(Vd199,Vd198)|Vd198!=vplus(Vd199,Vd201).
% 1.97/2.19 0 [] -greater(Vd194,Vd193)|Vd194=vplus(Vd193,$f2(Vd193,Vd194)).
% 1.97/2.19 0 [] greater(Vd194,Vd193)|Vd194!=vplus(Vd193,Vd196).
% 1.97/2.19 0 [] Vd120=Vd121|Vd120=vplus(Vd121,$f3(Vd120,Vd121))|Vd121=vplus(Vd120,$f4(Vd120,Vd121)).
% 1.97/2.19 0 [] Vd120!=Vd121|Vd121!=vplus(Vd120,Vd125).
% 1.97/2.19 0 [] Vd120!=vplus(Vd121,Vd123)|Vd121!=vplus(Vd120,Vd125).
% 1.97/2.19 0 [] Vd120!=Vd121|Vd120!=vplus(Vd121,Vd123).
% 1.97/2.19 0 [] Vd104=Vd105|vplus(Vd107,Vd104)!=vplus(Vd107,Vd105).
% 1.97/2.19 0 [] Vd93!=vplus(Vd92,Vd93).
% 1.97/2.19 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 1.97/2.19 0 [] vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69)).
% 1.97/2.19 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 1.97/2.19 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 1.97/2.19 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 1.97/2.19 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 1.97/2.19 0 [] Vd24=v1|Vd24=vsucc(vskolem2(Vd24)).
% 1.97/2.19 0 [] vsucc(Vd16)!=Vd16.
% 1.97/2.19 0 [] Vd7=Vd8|vsucc(Vd7)!=vsucc(Vd8).
% 1.97/2.19 0 [] vsucc(Vd3)!=vsucc(Vd4)|Vd3=Vd4.
% 1.97/2.19 0 [] vsucc(Vd1)!=v1.
% 1.97/2.19 end_of_list.
% 1.97/2.19
% 1.97/2.19 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.97/2.19
% 1.97/2.19 This ia a non-Horn set with equality. The strategy will be
% 1.97/2.19 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.97/2.19 deletion, with positive clauses in sos and nonpositive
% 1.97/2.19 clauses in usable.
% 1.97/2.19
% 1.97/2.19 dependent: set(knuth_bendix).
% 1.97/2.19 dependent: set(anl_eq).
% 1.97/2.19 dependent: set(para_from).
% 1.97/2.19 dependent: set(para_into).
% 1.97/2.19 dependent: clear(para_from_right).
% 1.97/2.19 dependent: clear(para_into_right).
% 1.97/2.19 dependent: set(para_from_vars).
% 1.97/2.19 dependent: set(eq_units_both_ways).
% 1.97/2.19 dependent: set(dynamic_demod_all).
% 1.97/2.19 dependent: set(dynamic_demod).
% 1.97/2.19 dependent: set(order_eq).
% 1.97/2.19 dependent: set(back_demod).
% 1.97/2.19 dependent: set(lrpo).
% 1.97/2.19 dependent: set(hyper_res).
% 1.97/2.19 dependent: set(unit_deletion).
% 1.97/2.19 dependent: set(factor).
% 1.97/2.19
% 1.97/2.19 ------------> process usable:
% 1.97/2.19 ** KEPT (pick-wt=7): 1 [] -greater(vplus(vd301,vd303),vplus(vd302,vd303)).
% 1.97/2.19 ** KEPT (pick-wt=10): 2 [] -less(A,B)|less(vplus(A,C),vplus(B,C)).
% 1.97/2.19 ** KEPT (pick-wt=10): 3 [] -less(A,B)|greater(vplus(B,C),vplus(A,C)).
% 1.97/2.19 ** KEPT (pick-wt=6): 4 [] -less(A,B)|greater(B,A).
% 1.97/2.19 ** KEPT (pick-wt=10): 5 [] A!=B|vplus(A,C)=vplus(B,C).
% 1.97/2.19 ** KEPT (pick-wt=10): 6 [] -greater(A,B)|greater(vplus(A,C),vplus(B,C)).
% 1.97/2.19 ** KEPT (pick-wt=18): 7 [] -greater(A,B)|vplus(vskolem7(A,B),vplus(B,C))=vplus(vplus(B,C),vskolem7(A,B)).
% 1.97/2.19 ** KEPT (pick-wt=18): 8 [] -greater(A,B)|vplus(vplus(vskolem7(A,B),B),C)=vplus(vskolem7(A,B),vplus(B,C)).
% 1.97/2.19 ** KEPT (pick-wt=18): 10 [copy,9,flip.2] -greater(A,B)|vplus(vplus(vskolem7(A,B),B),C)=vplus(vplus(B,vskolem7(A,B)),C).
% 1.97/2.19 ** KEPT (pick-wt=14): 12 [copy,11,flip.2] -greater(A,B)|vplus(vplus(B,vskolem7(A,B)),C)=vplus(A,C).
% 1.97/2.19 ** KEPT (pick-wt=10): 14 [copy,13,flip.2] -greater(A,B)|vplus(B,vskolem7(A,B))=A.
% 1.97/2.19 ** KEPT (pick-wt=9): 15 [] -le_q(A,B)| -le_q(C,A)|le_q(C,B).
% 1.97/2.19 ** KEPT (pick-wt=9): 16 [] -less(A,B)| -le_q(C,A)|less(C,B).
% 1.97/2.19 ** KEPT (pick-wt=9): 17 [] -le_q(A,B)| -less(C,A)|less(C,B).
% 1.97/2.19 ** KEPT (pick-wt=9): 18 [] -less(A,B)| -less(C,A)|less(C,B).
% 1.97/2.19 ** KEPT (pick-wt=6): 19 [] -le_q(A,B)|ge_q(B,A).
% 1.97/2.19 ** KEPT (pick-wt=6): 20 [] -ge_q(A,B)|le_q(B,A).
% 1.97/2.19 ** KEPT (pick-wt=9): 21 [] -le_q(A,B)|less(A,B)|A=B.
% 1.97/2.19 ** KEPT (pick-wt=6): 22 [] le_q(A,B)| -less(A,B).
% 1.97/2.19 ** KEPT (pick-wt=6): 23 [] le_q(A,B)|A!=B.
% 1.97/2.19 ** KEPT (pick-wt=9): 24 [] -ge_q(A,B)|greater(A,B)|A=B.
% 1.97/2.19 ** KEPT (pick-wt=6): 25 [] ge_q(A,B)| -greater(A,B).
% 1.97/2.19 ** KEPT (pick-wt=6): 26 [] ge_q(A,B)|A!=B.
% 1.97/2.19 Following clause subsumed by 4 during input processing: 0 [] -less(A,B)|greater(B,A).
% 1.97/2.19 ** KEPT (pick-wt=6): 27 [] -greater(A,B)|less(B,A).
% 1.97/2.19 ** KEPT (pick-wt=6): 28 [] A!=B| -less(A,B).
% 1.97/2.19 ** KEPT (pick-wt=6): 29 [] -greater(A,B)| -less(A,B).
% 1.97/2.19 ** KEPT (pick-wt=6): 30 [] A!=B| -greater(A,B).
% 1.97/2.19 ** KEPT (pick-wt=10): 32 [copy,31,flip.2] -less(A,B)|vplus(A,$f1(B,A))=B.
% 1.97/2.19 ** KEPT (pick-wt=8): 33 [] less(A,B)|B!=vplus(A,C).
% 1.97/2.19 ** KEPT (pick-wt=10): 35 [copy,34,flip.2] -greater(A,B)|vplus(B,$f2(B,A))=A.
% 1.97/2.19 ** KEPT (pick-wt=8): 36 [] greater(A,B)|A!=vplus(B,C).
% 1.97/2.19 ** KEPT (pick-wt=8): 37 [] A!=B|B!=vplus(A,C).
% 1.97/2.19 ** KEPT (pick-wt=10): 38 [] A!=vplus(B,C)|B!=vplus(A,D).
% 1.97/2.19 ** KEPT (pick-wt=8): 39 [] A!=B|A!=vplus(B,C).
% 1.97/2.19 ** KEPT (pick-wt=10): 40 [] A=B|vplus(C,A)!=vplus(C,B).
% 1.97/2.19 ** KEPT (pick-wt=5): 42 [copy,41,flip.1] vplus(A,B)!=B.
% 1.97/2.19 ** KEPT (pick-wt=4): 43 [] vsucc(A)!=A.
% 1.97/2.19 ** KEPT (pick-wt=8): 44 [] A=B|vsucc(A)!=vsucc(B).
% 1.97/2.19 Following clause subsumed by 44 during input processing: 0 [] vsucc(A)!=vsucc(B)|A=B.
% 1.97/2.19 ** KEPT (pick-wt=4): 45 [] vsucc(A)!=v1.
% 1.97/2.19
% 1.97/2.19 ------------> process sos:
% 1.97/2.19 ** KEPT (pick-wt=3): 47 [] A=A.
% 1.97/2.19 ** KEPT (pick-wt=3): 48 [] greater(vd301,vd302).
% 1.97/2.19 ** KEPT (pick-wt=5): 49 [] greater(vplus(A,B),A).
% 1.97/2.19 ** KEPT (pick-wt=9): 50 [] A=B|greater(A,B)|less(A,B).
% 1.97/2.19 ** KEPT (pick-wt=17): 52 [copy,51,flip.2,flip.3] A=B|vplus(B,$f3(A,B))=A|vplus(A,$f4(A,B))=B.
% 1.97/2.19 ** KEPT (pick-wt=7): 53 [] vplus(A,B)=vplus(B,A).
% 1.97/2.19 ** KEPT (pick-wt=9): 55 [copy,54,flip.1] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.97/2.19 ---> New Demodulator: 56 [new_demod,55] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.97/2.19 ** KEPT (pick-wt=6): 58 [copy,57,flip.1] vsucc(A)=vplus(v1,A).
% 1.97/2.19 ---> New Demodulator: 59 [new_demod,58] vsucc(A)=vplus(v1,A).
% 1.97/2.19 ** KEPT (pick-wt=11): 60 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.97/2.19 ---> New Demodulator: 61 [new_demod,60] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.97/2.19 ** KEPT (pick-wt=11): 63 [copy,62,demod,59,59] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.97/2.19 Following clause subsumed by 53 during input processing: 0 [demod,59] vplus(A,v1)=vplus(v1,A).
% 1.97/2.19 ** KEPT (pick-wt=9): 65 [copy,64,demod,59,flip.2] A=v1|vplus(v1,vskolem2(A))=A.
% 1.97/2.19 Following clause subsumed by 47 during input processing: 0 [copy,47,flip.1] A=A.
% 1.97/2.19 Following clause subsumed by 53 during input processing: 0 [copy,53,flip.1] vplus(A,B)=vplus(B,A).
% 1.97/2.19 53 back subsumes 7.
% 1.97/2.19 >>>> Starting back demodulation with 56.
% 1.97/2.19 >>>> Starting back demodulation with 59.
% 1.97/2.19 >> back demodulating 55 with 59.
% 1.97/2.19 >> back demodulating 45 with 59.
% 1.97/2.19 >> back demodulating 44 with 59.
% 1.97/2.19 >> back demodulating 43 with 59.
% 1.97/2.19 >>>> Starting back demodulation with 61.
% 1.97/2.19 >> back demodulating 12 with 61.
% 1.97/2.19 >> back demodulating 10 with 61.
% 1.97/2.19 >> back demodulating 8 with 61.
% 1.97/2.19 ** KEPT (pick-wt=11): 68 [copy,63,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 1.97/2.19 Following clause subsumed by 63 during input processing: 0 [copy,68,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.97/2.19
% 1.97/2.19 ======= end of input processing =======
% 1.97/2.19
% 1.97/2.19 =========== start of search ===========
% 1.97/2.19
% 1.97/2.19 -------- PROOF --------
% 1.97/2.19
% 1.97/2.19 ----> UNIT CONFLICT at 0.01 sec ----> 79 [binary,78.1,1.1] $F.
% 1.97/2.19
% 1.97/2.19 Length of proof is 1. Level of proof is 1.
% 1.97/2.19
% 1.97/2.19 ---------------- PROOF ----------------
% 1.97/2.19 % SZS status Theorem
% 1.97/2.19 % SZS output start Refutation
% See solution above
% 1.97/2.19 ------------ end of proof -------------
% 1.97/2.19
% 1.97/2.19
% 1.97/2.19 Search stopped by max_proofs option.
% 1.97/2.19
% 1.97/2.19
% 1.97/2.19 Search stopped by max_proofs option.
% 1.97/2.19
% 1.97/2.19 ============ end of search ============
% 1.97/2.19
% 1.97/2.19 -------------- statistics -------------
% 1.97/2.19 clauses given 2
% 1.97/2.19 clauses generated 14
% 1.97/2.19 clauses kept 62
% 1.97/2.19 clauses forward subsumed 14
% 1.97/2.19 clauses back subsumed 1
% 1.97/2.19 Kbytes malloced 976
% 1.97/2.19
% 1.97/2.19 ----------- times (seconds) -----------
% 1.97/2.19 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.97/2.19 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.97/2.19 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.97/2.19
% 1.97/2.19 That finishes the proof of the theorem.
% 1.97/2.19
% 1.97/2.19 Process 28557 finished Wed Jul 27 10:03:28 2022
% 1.97/2.19 Otter interrupted
% 1.97/2.19 PROOF FOUND
%------------------------------------------------------------------------------