TSTP Solution File: NUM835+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM835+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 2.10s 2.28s
% Output : Refutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 9 unt; 3 nHn; 8 RR)
% Number of literals : 22 ( 17 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
vd165 != vplus(vd151,A),
file('NUM835+1.p',unknown),
[] ).
cnf(2,plain,
vplus(vd151,A) != vd165,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(3,axiom,
vd151 != vplus(vd165,A),
file('NUM835+1.p',unknown),
[] ).
cnf(4,plain,
vplus(vd165,A) != vd151,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[3])]),
[iquote('copy,3,flip.1')] ).
cnf(5,axiom,
vd151 != vd165,
file('NUM835+1.p',unknown),
[] ).
cnf(6,plain,
vd165 != vd151,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[5])]),
[iquote('copy,5,flip.1')] ).
cnf(15,axiom,
( ~ m(A)
| B = A
| B = vplus(A,dollar_f2(B,A))
| A = vplus(B,dollar_f3(B,A)) ),
file('NUM835+1.p',unknown),
[] ).
cnf(16,plain,
( ~ m(A)
| B = A
| vplus(A,dollar_f2(B,A)) = B
| vplus(B,dollar_f3(B,A)) = A ),
inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[15])])]),
[iquote('copy,15,flip.3,flip.4')] ).
cnf(18,axiom,
( m(A)
| B != vplus(A,C) ),
file('NUM835+1.p',unknown),
[] ).
cnf(30,axiom,
A = A,
file('NUM835+1.p',unknown),
[] ).
cnf(50,plain,
m(A),
inference(hyper,[status(thm)],[30,18]),
[iquote('hyper,30,18')] ).
cnf(51,plain,
( A = B
| vplus(B,dollar_f2(A,B)) = A
| vplus(A,dollar_f3(A,B)) = B ),
inference(hyper,[status(thm)],[50,16]),
[iquote('hyper,50,16')] ).
cnf(414,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[51,6]),2,4]),
[iquote('hyper,51,6,unit_del,2,4')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM835+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.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 10:04:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.10/2.25 ----- Otter 3.3f, August 2004 -----
% 2.10/2.25 The process was started by sandbox2 on n023.cluster.edu,
% 2.10/2.25 Wed Jul 27 10:04:48 2022
% 2.10/2.25 The command was "./otter". The process ID is 7868.
% 2.10/2.25
% 2.10/2.25 set(prolog_style_variables).
% 2.10/2.25 set(auto).
% 2.10/2.25 dependent: set(auto1).
% 2.10/2.25 dependent: set(process_input).
% 2.10/2.25 dependent: clear(print_kept).
% 2.10/2.25 dependent: clear(print_new_demod).
% 2.10/2.25 dependent: clear(print_back_demod).
% 2.10/2.25 dependent: clear(print_back_sub).
% 2.10/2.25 dependent: set(control_memory).
% 2.10/2.25 dependent: assign(max_mem, 12000).
% 2.10/2.25 dependent: assign(pick_given_ratio, 4).
% 2.10/2.25 dependent: assign(stats_level, 1).
% 2.10/2.25 dependent: assign(max_seconds, 10800).
% 2.10/2.25 clear(print_given).
% 2.10/2.25
% 2.10/2.25 formula_list(usable).
% 2.10/2.25 all A (A=A).
% 2.10/2.25 -((exists Vd180 (vd165=vplus(vd151,Vd180)))| (exists Vd170 (vd151=vplus(vd165,Vd170)))|vd151=vd165).
% 2.10/2.25 all Vd180 (vd165=vplus(vd151,Vd180)->m(vsucc(vd165))).
% 2.10/2.25 all Vd180 (vd165=vplus(vd151,Vd180)->vsucc(vplus(vd151,Vd180))=vplus(vd151,vsucc(Vd180))).
% 2.10/2.25 all Vd180 (vd165=vplus(vd151,Vd180)->vsucc(vd165)=vsucc(vplus(vd151,Vd180))).
% 2.10/2.25 all Vd170 (vd151=vplus(vd165,Vd170)-> (Vd170!=v1->m(vsucc(vd165)))).
% 2.10/2.25 all Vd170 (vd151=vplus(vd165,Vd170)-> (Vd170!=v1->vplus(vplus(vd165,v1),vskolem3)=vplus(vsucc(vd165),vskolem3))).
% 2.10/2.25 all Vd170 (vd151=vplus(vd165,Vd170)-> (Vd170!=v1->vplus(vd165,vplus(v1,vskolem3))=vplus(vplus(vd165,v1),vskolem3))).
% 2.10/2.25 all Vd170 (vd151=vplus(vd165,Vd170)-> (Vd170!=v1->vd151=vplus(vd165,vplus(v1,vskolem3)))).
% 2.10/2.25 all Vd170 (vd151=vplus(vd165,Vd170)-> (Vd170!=v1->vsucc(vskolem3)=vplus(v1,vskolem3))).
% 2.10/2.25 all Vd170 (vd151=vplus(vd165,Vd170)-> (Vd170!=v1->Vd170=vsucc(vskolem3))).
% 2.10/2.25 all Vd170 (vd151=vplus(vd165,Vd170)-> (Vd170=v1->m(vsucc(vd165)))).
% 2.10/2.25 all Vd170 (vd151=vplus(vd165,Vd170)-> (Vd170=v1->vplus(vd165,v1)=vsucc(vd165))).
% 2.10/2.25 all Vd170 (vd151=vplus(vd165,Vd170)-> (Vd170=v1->vd151=vplus(vd165,v1))).
% 2.10/2.25 vd151=vd165->m(vsucc(vd165)).
% 2.10/2.25 vd151=vd165->vplus(vd165,v1)=vplus(vd151,v1).
% 2.10/2.25 vd151=vd165->vsucc(vd165)=vplus(vd165,v1).
% 2.10/2.25 m(vd165).
% 2.10/2.25 m(v1).
% 2.10/2.25 all Vd159 (Vd159=v1->v1=Vd159&vd151=v1| (exists Vd162 (vplus(v1,Vd162)=vplus(Vd159,Vd162)&vsucc(Vd162)=vplus(v1,Vd162)&vd151=vsucc(Vd162)))).
% 2.10/2.25 all Vd151 Vd152 (m(Vd152)<->Vd151=Vd152| (exists Vd155 (Vd151=vplus(Vd152,Vd155)))| (exists Vd157 (Vd152=vplus(Vd151,Vd157)))).
% 2.10/2.25 all Vd144 Vd145 (Vd144!=Vd145| -(exists Vd149 (Vd145=vplus(Vd144,Vd149)))).
% 2.10/2.25 all Vd144 Vd145 (-(exists Vd147 (Vd144=vplus(Vd145,Vd147)))| -(exists Vd149 (Vd145=vplus(Vd144,Vd149)))).
% 2.10/2.25 all Vd144 Vd145 (Vd144!=Vd145| -(exists Vd147 (Vd144=vplus(Vd145,Vd147)))).
% 2.10/2.25 all Vd127 Vd128 (-(exists Vd140 Vd142 (Vd128=vplus(Vd127,Vd142)&Vd127=vplus(Vd128,Vd140)))).
% 2.10/2.25 all Vd127 Vd128 Vd135 Vd137 (-(Vd128=vplus(Vd127,Vd137)&Vd127=vplus(Vd128,Vd135))).
% 2.10/2.25 all Vd127 Vd128 (-(exists Vd133 (Vd128=vplus(Vd127,Vd133)&Vd127=Vd128))).
% 2.10/2.25 all Vd127 Vd128 (-(exists Vd130 (Vd127=vplus(Vd128,Vd130)&Vd127=Vd128))).
% 2.10/2.25 all Vd104 Vd105 (Vd104!=Vd105-> (all Vd107 (vplus(Vd107,Vd104)!=vplus(Vd107,Vd105)))).
% 2.10/2.25 all Vd92 Vd93 (Vd93!=vplus(Vd92,Vd93)).
% 2.10/2.25 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 2.10/2.25 all Vd68 Vd69 (vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69))).
% 2.10/2.25 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 2.10/2.25 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 2.10/2.25 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 2.10/2.25 all Vd24 (Vd24!=v1->Vd24=vsucc(vskolem2(Vd24))).
% 2.10/2.25 all Vd16 (vsucc(Vd16)!=Vd16).
% 2.10/2.25 all Vd7 Vd8 (Vd7!=Vd8->vsucc(Vd7)!=vsucc(Vd8)).
% 2.10/2.25 all Vd3 Vd4 (vsucc(Vd3)=vsucc(Vd4)->Vd3=Vd4).
% 2.10/2.25 all Vd1 (vsucc(Vd1)!=v1).
% 2.10/2.25 end_of_list.
% 2.10/2.25
% 2.10/2.25 -------> usable clausifies to:
% 2.10/2.25
% 2.10/2.25 list(usable).
% 2.10/2.25 0 [] A=A.
% 2.10/2.25 0 [] vd165!=vplus(vd151,Vd180).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170).
% 2.10/2.25 0 [] vd151!=vd165.
% 2.10/2.25 0 [] vd165!=vplus(vd151,Vd180)|m(vsucc(vd165)).
% 2.10/2.25 0 [] vd165!=vplus(vd151,Vd180)|vsucc(vplus(vd151,Vd180))=vplus(vd151,vsucc(Vd180)).
% 2.10/2.25 0 [] vd165!=vplus(vd151,Vd180)|vsucc(vd165)=vsucc(vplus(vd151,Vd180)).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170)|Vd170=v1|m(vsucc(vd165)).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170)|Vd170=v1|vplus(vplus(vd165,v1),vskolem3)=vplus(vsucc(vd165),vskolem3).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170)|Vd170=v1|vplus(vd165,vplus(v1,vskolem3))=vplus(vplus(vd165,v1),vskolem3).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170)|Vd170=v1|vd151=vplus(vd165,vplus(v1,vskolem3)).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170)|Vd170=v1|vsucc(vskolem3)=vplus(v1,vskolem3).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170)|Vd170=v1|Vd170=vsucc(vskolem3).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170)|Vd170!=v1|m(vsucc(vd165)).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170)|Vd170!=v1|vplus(vd165,v1)=vsucc(vd165).
% 2.10/2.25 0 [] vd151!=vplus(vd165,Vd170)|Vd170!=v1|vd151=vplus(vd165,v1).
% 2.10/2.25 0 [] vd151!=vd165|m(vsucc(vd165)).
% 2.10/2.25 0 [] vd151!=vd165|vplus(vd165,v1)=vplus(vd151,v1).
% 2.10/2.25 0 [] vd151!=vd165|vsucc(vd165)=vplus(vd165,v1).
% 2.10/2.25 0 [] m(vd165).
% 2.10/2.25 0 [] m(v1).
% 2.10/2.25 0 [] Vd159!=v1|v1=Vd159|vplus(v1,$f1(Vd159))=vplus(Vd159,$f1(Vd159)).
% 2.10/2.25 0 [] Vd159!=v1|v1=Vd159|vsucc($f1(Vd159))=vplus(v1,$f1(Vd159)).
% 2.10/2.25 0 [] Vd159!=v1|v1=Vd159|vd151=vsucc($f1(Vd159)).
% 2.10/2.25 0 [] Vd159!=v1|vd151=v1|vplus(v1,$f1(Vd159))=vplus(Vd159,$f1(Vd159)).
% 2.10/2.25 0 [] Vd159!=v1|vd151=v1|vsucc($f1(Vd159))=vplus(v1,$f1(Vd159)).
% 2.10/2.25 0 [] Vd159!=v1|vd151=v1|vd151=vsucc($f1(Vd159)).
% 2.10/2.25 0 [] -m(Vd152)|Vd151=Vd152|Vd151=vplus(Vd152,$f2(Vd151,Vd152))|Vd152=vplus(Vd151,$f3(Vd151,Vd152)).
% 2.10/2.25 0 [] m(Vd152)|Vd151!=Vd152.
% 2.10/2.25 0 [] m(Vd152)|Vd151!=vplus(Vd152,Vd155).
% 2.10/2.25 0 [] m(Vd152)|Vd152!=vplus(Vd151,Vd157).
% 2.10/2.25 0 [] Vd144!=Vd145|Vd145!=vplus(Vd144,Vd149).
% 2.10/2.25 0 [] Vd144!=vplus(Vd145,Vd147)|Vd145!=vplus(Vd144,Vd149).
% 2.10/2.25 0 [] Vd144!=Vd145|Vd144!=vplus(Vd145,Vd147).
% 2.10/2.25 0 [] Vd128!=vplus(Vd127,Vd142)|Vd127!=vplus(Vd128,Vd140).
% 2.10/2.25 0 [] Vd128!=vplus(Vd127,Vd137)|Vd127!=vplus(Vd128,Vd135).
% 2.10/2.25 0 [] Vd128!=vplus(Vd127,Vd133)|Vd127!=Vd128.
% 2.10/2.25 0 [] Vd127!=vplus(Vd128,Vd130)|Vd127!=Vd128.
% 2.10/2.25 0 [] Vd104=Vd105|vplus(Vd107,Vd104)!=vplus(Vd107,Vd105).
% 2.10/2.25 0 [] Vd93!=vplus(Vd92,Vd93).
% 2.10/2.25 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 2.10/2.25 0 [] vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69)).
% 2.10/2.25 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 2.10/2.25 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 2.10/2.25 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 2.10/2.25 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 2.10/2.25 0 [] Vd24=v1|Vd24=vsucc(vskolem2(Vd24)).
% 2.10/2.25 0 [] vsucc(Vd16)!=Vd16.
% 2.10/2.25 0 [] Vd7=Vd8|vsucc(Vd7)!=vsucc(Vd8).
% 2.10/2.25 0 [] vsucc(Vd3)!=vsucc(Vd4)|Vd3=Vd4.
% 2.10/2.25 0 [] vsucc(Vd1)!=v1.
% 2.10/2.25 end_of_list.
% 2.10/2.25
% 2.10/2.25 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 2.10/2.25
% 2.10/2.25 This ia a non-Horn set with equality. The strategy will be
% 2.10/2.25 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.10/2.25 deletion, with positive clauses in sos and nonpositive
% 2.10/2.25 clauses in usable.
% 2.10/2.25
% 2.10/2.25 dependent: set(knuth_bendix).
% 2.10/2.25 dependent: set(anl_eq).
% 2.10/2.25 dependent: set(para_from).
% 2.10/2.25 dependent: set(para_into).
% 2.10/2.25 dependent: clear(para_from_right).
% 2.10/2.25 dependent: clear(para_into_right).
% 2.10/2.25 dependent: set(para_from_vars).
% 2.10/2.25 dependent: set(eq_units_both_ways).
% 2.10/2.25 dependent: set(dynamic_demod_all).
% 2.10/2.25 dependent: set(dynamic_demod).
% 2.10/2.25 dependent: set(order_eq).
% 2.10/2.25 dependent: set(back_demod).
% 2.10/2.25 dependent: set(lrpo).
% 2.10/2.25 dependent: set(hyper_res).
% 2.10/2.25 dependent: set(unit_deletion).
% 2.10/2.25 dependent: set(factor).
% 2.10/2.25
% 2.10/2.25 ------------> process usable:
% 2.10/2.25 ** KEPT (pick-wt=5): 2 [copy,1,flip.1] vplus(vd151,A)!=vd165.
% 2.10/2.25 ** KEPT (pick-wt=5): 4 [copy,3,flip.1] vplus(vd165,A)!=vd151.
% 2.10/2.25 ** KEPT (pick-wt=3): 6 [copy,5,flip.1] vd165!=vd151.
% 2.10/2.25 Following clause subsumed by 2 during input processing: 0 [flip.1] vplus(vd151,A)!=vd165|m(vsucc(vd165)).
% 2.10/2.25 Following clause subsumed by 2 during input processing: 0 [flip.1] vplus(vd151,A)!=vd165|vsucc(vplus(vd151,A))=vplus(vd151,vsucc(A)).
% 2.10/2.25 Following clause subsumed by 2 during input processing: 0 [flip.1,flip.2] vplus(vd151,A)!=vd165|vsucc(vplus(vd151,A))=vsucc(vd165).
% 2.10/2.25 Following clause subsumed by 4 during input processing: 0 [flip.1] vplus(vd165,A)!=vd151|A=v1|m(vsucc(vd165)).
% 2.10/2.25 Following clause subsumed by 4 during input processing: 0 [flip.1,flip.3] vplus(vd165,A)!=vd151|A=v1|vplus(vsucc(vd165),vskolem3)=vplus(vplus(vd165,v1),vskolem3).
% 2.10/2.25 Following clause subsumed by 4 during input processing: 0 [flip.1,flip.3] vplus(vd165,A)!=vd151|A=v1|vplus(vplus(vd165,v1),vskolem3)=vplus(vd165,vplus(v1,vskolem3)).
% 2.10/2.25 Following clause subsumed by 4 during input processing: 0 [unit_del,4,flip.1] vplus(vd165,A)!=vd151|A=v1.
% 2.10/2.25 Following clause subsumed by 4 during input processing: 0 [flip.1] vplus(vd165,A)!=vd151|A=v1|vsucc(vskolem3)=vplus(v1,vskolem3).
% 2.10/2.25 Following clause subsumed by 4 during input processing: 0 [flip.1] vplus(vd165,A)!=vd151|A=v1|A=vsucc(vskolem3).
% 2.10/2.28 Following clause subsumed by 4 during input processing: 0 [flip.1] vplus(vd165,A)!=vd151|A!=v1|m(vsucc(vd165)).
% 2.10/2.28 Following clause subsumed by 4 during input processing: 0 [flip.1,flip.3] vplus(vd165,A)!=vd151|A!=v1|vsucc(vd165)=vplus(vd165,v1).
% 2.10/2.28 Following clause subsumed by 4 during input processing: 0 [unit_del,4,flip.1] vplus(vd165,A)!=vd151|A!=v1.
% 2.10/2.28 Following clause subsumed by 6 during input processing: 0 [flip.1] vd165!=vd151|m(vsucc(vd165)).
% 2.10/2.28 Following clause subsumed by 6 during input processing: 0 [flip.1] vd165!=vd151|vplus(vd165,v1)=vplus(vd151,v1).
% 2.10/2.28 Following clause subsumed by 6 during input processing: 0 [flip.1] vd165!=vd151|vsucc(vd165)=vplus(vd165,v1).
% 2.10/2.28 ** KEPT (pick-wt=15): 7 [] A!=v1|v1=A|vplus(v1,$f1(A))=vplus(A,$f1(A)).
% 2.10/2.28 ** KEPT (pick-wt=14): 8 [] A!=v1|v1=A|vsucc($f1(A))=vplus(v1,$f1(A)).
% 2.10/2.28 ** KEPT (pick-wt=11): 10 [copy,9,flip.3] A!=v1|v1=A|vsucc($f1(A))=vd151.
% 2.10/2.28 ** KEPT (pick-wt=15): 11 [] A!=v1|vd151=v1|vplus(v1,$f1(A))=vplus(A,$f1(A)).
% 2.10/2.28 ** KEPT (pick-wt=14): 12 [] A!=v1|vd151=v1|vsucc($f1(A))=vplus(v1,$f1(A)).
% 2.10/2.28 ** KEPT (pick-wt=11): 14 [copy,13,flip.3] A!=v1|vd151=v1|vsucc($f1(A))=vd151.
% 2.10/2.28 ** KEPT (pick-wt=19): 16 [copy,15,flip.3,flip.4] -m(A)|B=A|vplus(A,$f2(B,A))=B|vplus(B,$f3(B,A))=A.
% 2.10/2.28 ** KEPT (pick-wt=5): 17 [] m(A)|B!=A.
% 2.10/2.28 ** KEPT (pick-wt=7): 18 [] m(A)|B!=vplus(A,C).
% 2.10/2.28 ** KEPT (pick-wt=7): 19 [] m(A)|A!=vplus(B,C).
% 2.10/2.28 ** KEPT (pick-wt=8): 20 [] A!=B|B!=vplus(A,C).
% 2.10/2.28 ** KEPT (pick-wt=10): 21 [] A!=vplus(B,C)|B!=vplus(A,D).
% 2.10/2.28 ** KEPT (pick-wt=8): 22 [] A!=B|A!=vplus(B,C).
% 2.10/2.28 Following clause subsumed by 21 during input processing: 0 [] A!=vplus(B,C)|B!=vplus(A,D).
% 2.10/2.28 Following clause subsumed by 21 during input processing: 0 [] A!=vplus(B,C)|B!=vplus(A,D).
% 2.10/2.28 Following clause subsumed by 20 during input processing: 0 [] A!=vplus(B,C)|B!=A.
% 2.10/2.28 Following clause subsumed by 22 during input processing: 0 [] A!=vplus(B,C)|A!=B.
% 2.10/2.28 ** KEPT (pick-wt=10): 23 [] A=B|vplus(C,A)!=vplus(C,B).
% 2.10/2.28 ** KEPT (pick-wt=5): 25 [copy,24,flip.1] vplus(A,B)!=B.
% 2.10/2.28 ** KEPT (pick-wt=4): 26 [] vsucc(A)!=A.
% 2.10/2.28 ** KEPT (pick-wt=8): 27 [] A=B|vsucc(A)!=vsucc(B).
% 2.10/2.28 Following clause subsumed by 27 during input processing: 0 [] vsucc(A)!=vsucc(B)|A=B.
% 2.10/2.28 ** KEPT (pick-wt=4): 28 [] vsucc(A)!=v1.
% 2.10/2.28
% 2.10/2.28 ------------> process sos:
% 2.10/2.28 ** KEPT (pick-wt=3): 30 [] A=A.
% 2.10/2.28 ** KEPT (pick-wt=2): 31 [] m(vd165).
% 2.10/2.28 ** KEPT (pick-wt=2): 32 [] m(v1).
% 2.10/2.28 ** KEPT (pick-wt=7): 33 [] vplus(A,B)=vplus(B,A).
% 2.10/2.28 ** KEPT (pick-wt=9): 35 [copy,34,flip.1] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 2.10/2.28 ---> New Demodulator: 36 [new_demod,35] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 2.10/2.28 ** KEPT (pick-wt=6): 38 [copy,37,flip.1] vsucc(A)=vplus(v1,A).
% 2.10/2.28 ---> New Demodulator: 39 [new_demod,38] vsucc(A)=vplus(v1,A).
% 2.10/2.28 ** KEPT (pick-wt=11): 40 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 2.10/2.28 ---> New Demodulator: 41 [new_demod,40] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 2.10/2.28 ** KEPT (pick-wt=11): 43 [copy,42,demod,39,39] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 2.10/2.28 Following clause subsumed by 33 during input processing: 0 [demod,39] vplus(A,v1)=vplus(v1,A).
% 2.10/2.28 ** KEPT (pick-wt=9): 45 [copy,44,demod,39,flip.2] A=v1|vplus(v1,vskolem2(A))=A.
% 2.10/2.28 Following clause subsumed by 30 during input processing: 0 [copy,30,flip.1] A=A.
% 2.10/2.28 Following clause subsumed by 33 during input processing: 0 [copy,33,flip.1] vplus(A,B)=vplus(B,A).
% 2.10/2.28 >>>> Starting back demodulation with 36.
% 2.10/2.28 >>>> Starting back demodulation with 39.
% 2.10/2.28 >> back demodulating 35 with 39.
% 2.10/2.28 >> back demodulating 28 with 39.
% 2.10/2.28 >> back demodulating 27 with 39.
% 2.10/2.28 >> back demodulating 26 with 39.
% 2.10/2.28 >> back demodulating 14 with 39.
% 2.10/2.28 >> back demodulating 12 with 39.
% 2.10/2.28 >> back demodulating 10 with 39.
% 2.10/2.28 >> back demodulating 8 with 39.
% 2.10/2.28 >>>> Starting back demodulation with 41.
% 2.10/2.28 ** KEPT (pick-wt=11): 48 [copy,43,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 2.10/2.28 Following clause subsumed by 43 during input processing: 0 [copy,48,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 2.10/2.28
% 2.10/2.28 ======= end of input processing =======
% 2.10/2.28
% 2.10/2.28 =========== start of search ===========
% 2.10/2.28
% 2.10/2.28 -------- PROOF --------
% 2.10/2.28
% 2.10/2.28 -----> EMPTY CLAUSE at 0.03 sec ----> 414 [hyper,51,6,unit_del,2,4] $F.
% 2.10/2.28
% 2.10/2.28 Length of proof is 6. Level of proof is 2.
% 2.10/2.28
% 2.10/2.28 ---------------- PROOF ----------------
% 2.10/2.28 % SZS status Theorem
% 2.10/2.28 % SZS output start Refutation
% See solution above
% 2.10/2.28 ------------ end of proof -------------
% 2.10/2.28
% 2.10/2.28
% 2.10/2.28 Search stopped by max_proofs option.
% 2.10/2.28
% 2.10/2.28
% 2.10/2.28 Search stopped by max_proofs option.
% 2.10/2.28
% 2.10/2.28 ============ end of search ============
% 2.10/2.28
% 2.10/2.28 -------------- statistics -------------
% 2.10/2.28 clauses given 26
% 2.10/2.28 clauses generated 618
% 2.10/2.28 clauses kept 373
% 2.10/2.28 clauses forward subsumed 297
% 2.10/2.28 clauses back subsumed 13
% 2.10/2.28 Kbytes malloced 2929
% 2.10/2.28
% 2.10/2.28 ----------- times (seconds) -----------
% 2.10/2.28 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 2.10/2.28 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.10/2.28 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.10/2.28
% 2.10/2.28 That finishes the proof of the theorem.
% 2.10/2.28
% 2.10/2.28 Process 7868 finished Wed Jul 27 10:04:50 2022
% 2.10/2.28 Otter interrupted
% 2.10/2.28 PROOF FOUND
%------------------------------------------------------------------------------