TSTP Solution File: NUM851+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:10:06 EDT 2022
% Result : Theorem 1.81s 1.98s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 10 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
file('NUM851+2.p',unknown),
[] ).
cnf(2,plain,
vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vplus(vd471,vd473),vd469),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(21,axiom,
vd470 = vplus(vd471,vd473),
file('NUM851+2.p',unknown),
[] ).
cnf(23,plain,
vplus(vd471,vd473) = vd470,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[21])]),
[iquote('copy,21,flip.1')] ).
cnf(27,axiom,
vmul(A,vplus(B,C)) = vplus(vmul(A,B),vmul(A,C)),
file('NUM851+2.p',unknown),
[] ).
cnf(28,plain,
vplus(vmul(A,B),vmul(A,C)) = vmul(A,vplus(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[27])]),
[iquote('copy,27,flip.1')] ).
cnf(30,axiom,
vmul(A,B) = vmul(B,A),
file('NUM851+2.p',unknown),
[] ).
cnf(52,plain,
vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vd470,vd469),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2]),23]),
[iquote('back_demod,2,demod,23')] ).
cnf(99,plain,
vplus(vmul(A,B),vmul(C,A)) = vmul(A,vplus(B,C)),
inference(para_from,[status(thm),theory(equality)],[30,28]),
[iquote('para_from,30.1.1,28.1.1.2')] ).
cnf(475,plain,
vmul(vd470,vd469) != vmul(vd469,vd470),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[52,30]),99,23])]),
[iquote('para_into,52.1.1.1,30.1.1,demod,99,23,flip.1')] ).
cnf(476,plain,
$false,
inference(binary,[status(thm)],[475,30]),
[iquote('binary,475.1,30.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.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 09:45:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.75/1.95 ----- Otter 3.3f, August 2004 -----
% 1.75/1.95 The process was started by sandbox2 on n029.cluster.edu,
% 1.75/1.95 Wed Jul 27 09:45:29 2022
% 1.75/1.95 The command was "./otter". The process ID is 31435.
% 1.75/1.95
% 1.75/1.95 set(prolog_style_variables).
% 1.75/1.95 set(auto).
% 1.75/1.95 dependent: set(auto1).
% 1.75/1.95 dependent: set(process_input).
% 1.75/1.95 dependent: clear(print_kept).
% 1.75/1.95 dependent: clear(print_new_demod).
% 1.75/1.95 dependent: clear(print_back_demod).
% 1.75/1.95 dependent: clear(print_back_sub).
% 1.75/1.95 dependent: set(control_memory).
% 1.75/1.95 dependent: assign(max_mem, 12000).
% 1.75/1.95 dependent: assign(pick_given_ratio, 4).
% 1.75/1.95 dependent: assign(stats_level, 1).
% 1.75/1.95 dependent: assign(max_seconds, 10800).
% 1.75/1.95 clear(print_given).
% 1.75/1.95
% 1.75/1.95 formula_list(usable).
% 1.75/1.95 all A (A=A).
% 1.75/1.95 vmul(vplus(vd471,vd473),vd469)!=vplus(vmul(vd471,vd469),vmul(vd473,vd469)).
% 1.75/1.95 vmul(vd470,vd469)=vmul(vplus(vd471,vd473),vd469).
% 1.75/1.95 vd470=vplus(vd471,vd473).
% 1.75/1.95 greater(vd470,vd471).
% 1.75/1.95 all Vd444 Vd445 Vd446 (vmul(vmul(Vd444,Vd445),Vd446)=vmul(Vd444,vmul(Vd445,Vd446))).
% 1.75/1.95 all Vd432 Vd433 Vd434 (vmul(Vd432,vplus(Vd433,Vd434))=vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434))).
% 1.75/1.95 all Vd418 Vd419 (vmul(Vd418,Vd419)=vmul(Vd419,Vd418)).
% 1.75/1.95 all Vd408 Vd409 (vmul(vsucc(Vd408),Vd409)=vplus(vmul(Vd408,Vd409),Vd409)).
% 1.75/1.95 all Vd400 (vmul(v1,Vd400)=Vd400).
% 1.75/1.95 all Vd396 Vd397 (vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396)&vmul(Vd396,v1)=Vd396).
% 1.75/1.95 all Vd386 Vd387 (less(Vd386,vplus(Vd387,v1))->le_q(Vd386,Vd387)).
% 1.75/1.95 all Vd375 Vd376 (greater(Vd375,Vd376)->ge_q(Vd375,vplus(Vd376,v1))).
% 1.75/1.95 all Vd193 Vd194 (greater(Vd194,Vd193)<-> (exists Vd196 (Vd194=vplus(Vd193,Vd196)))).
% 1.75/1.95 all Vd120 Vd121 (Vd120=Vd121| (exists Vd123 (Vd120=vplus(Vd121,Vd123)))| (exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.75/1.95 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.75/1.95 all Vd120 Vd121 (-(exists Vd123 (Vd120=vplus(Vd121,Vd123)))| -(exists Vd125 (Vd121=vplus(Vd120,Vd125)))).
% 1.75/1.95 all Vd120 Vd121 (Vd120!=Vd121| -(exists Vd123 (Vd120=vplus(Vd121,Vd123)))).
% 1.75/1.95 all Vd104 Vd105 (Vd104!=Vd105-> (all Vd107 (vplus(Vd107,Vd104)!=vplus(Vd107,Vd105)))).
% 1.75/1.95 all Vd92 Vd93 (Vd93!=vplus(Vd92,Vd93)).
% 1.75/1.95 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 1.75/1.95 all Vd68 Vd69 (vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69))).
% 1.75/1.95 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 1.75/1.95 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 1.75/1.95 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 1.75/1.95 all Vd24 (Vd24!=v1->Vd24=vsucc(vskolem2(Vd24))).
% 1.75/1.95 all Vd16 (vsucc(Vd16)!=Vd16).
% 1.75/1.95 all Vd7 Vd8 (Vd7!=Vd8->vsucc(Vd7)!=vsucc(Vd8)).
% 1.75/1.95 end_of_list.
% 1.75/1.95
% 1.75/1.95 -------> usable clausifies to:
% 1.75/1.95
% 1.75/1.95 list(usable).
% 1.75/1.95 0 [] A=A.
% 1.75/1.95 0 [] vmul(vplus(vd471,vd473),vd469)!=vplus(vmul(vd471,vd469),vmul(vd473,vd469)).
% 1.75/1.95 0 [] vmul(vd470,vd469)=vmul(vplus(vd471,vd473),vd469).
% 1.75/1.95 0 [] vd470=vplus(vd471,vd473).
% 1.75/1.95 0 [] greater(vd470,vd471).
% 1.75/1.95 0 [] vmul(vmul(Vd444,Vd445),Vd446)=vmul(Vd444,vmul(Vd445,Vd446)).
% 1.75/1.95 0 [] vmul(Vd432,vplus(Vd433,Vd434))=vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)).
% 1.75/1.95 0 [] vmul(Vd418,Vd419)=vmul(Vd419,Vd418).
% 1.75/1.95 0 [] vmul(vsucc(Vd408),Vd409)=vplus(vmul(Vd408,Vd409),Vd409).
% 1.75/1.95 0 [] vmul(v1,Vd400)=Vd400.
% 1.75/1.95 0 [] vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396).
% 1.75/1.95 0 [] vmul(Vd396,v1)=Vd396.
% 1.75/1.95 0 [] -less(Vd386,vplus(Vd387,v1))|le_q(Vd386,Vd387).
% 1.75/1.95 0 [] -greater(Vd375,Vd376)|ge_q(Vd375,vplus(Vd376,v1)).
% 1.75/1.95 0 [] -greater(Vd194,Vd193)|Vd194=vplus(Vd193,$f1(Vd193,Vd194)).
% 1.75/1.95 0 [] greater(Vd194,Vd193)|Vd194!=vplus(Vd193,Vd196).
% 1.75/1.95 0 [] Vd120=Vd121|Vd120=vplus(Vd121,$f2(Vd120,Vd121))|Vd121=vplus(Vd120,$f3(Vd120,Vd121)).
% 1.75/1.95 0 [] Vd120!=Vd121|Vd121!=vplus(Vd120,Vd125).
% 1.75/1.95 0 [] Vd120!=vplus(Vd121,Vd123)|Vd121!=vplus(Vd120,Vd125).
% 1.75/1.95 0 [] Vd120!=Vd121|Vd120!=vplus(Vd121,Vd123).
% 1.75/1.95 0 [] Vd104=Vd105|vplus(Vd107,Vd104)!=vplus(Vd107,Vd105).
% 1.75/1.95 0 [] Vd93!=vplus(Vd92,Vd93).
% 1.75/1.95 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 1.75/1.95 0 [] vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69)).
% 1.75/1.95 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 1.75/1.95 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 1.75/1.95 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 1.75/1.95 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 1.75/1.95 0 [] Vd24=v1|Vd24=vsucc(vskolem2(Vd24)).
% 1.75/1.95 0 [] vsucc(Vd16)!=Vd16.
% 1.75/1.95 0 [] Vd7=Vd8|vsucc(Vd7)!=vsucc(Vd8).
% 1.75/1.95 end_of_list.
% 1.75/1.95
% 1.75/1.95 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.75/1.95
% 1.75/1.95 This ia a non-Horn set with equality. The strategy will be
% 1.75/1.95 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.75/1.95 deletion, with positive clauses in sos and nonpositive
% 1.75/1.95 clauses in usable.
% 1.75/1.95
% 1.75/1.95 dependent: set(knuth_bendix).
% 1.75/1.95 dependent: set(anl_eq).
% 1.75/1.95 dependent: set(para_from).
% 1.75/1.95 dependent: set(para_into).
% 1.75/1.95 dependent: clear(para_from_right).
% 1.75/1.95 dependent: clear(para_into_right).
% 1.75/1.95 dependent: set(para_from_vars).
% 1.75/1.95 dependent: set(eq_units_both_ways).
% 1.75/1.95 dependent: set(dynamic_demod_all).
% 1.75/1.95 dependent: set(dynamic_demod).
% 1.75/1.95 dependent: set(order_eq).
% 1.75/1.95 dependent: set(back_demod).
% 1.75/1.95 dependent: set(lrpo).
% 1.75/1.95 dependent: set(hyper_res).
% 1.75/1.95 dependent: set(unit_deletion).
% 1.75/1.95 dependent: set(factor).
% 1.75/1.95
% 1.75/1.95 ------------> process usable:
% 1.75/1.95 ** KEPT (pick-wt=13): 2 [copy,1,flip.1] vplus(vmul(vd471,vd469),vmul(vd473,vd469))!=vmul(vplus(vd471,vd473),vd469).
% 1.75/1.95 ** KEPT (pick-wt=8): 3 [] -less(A,vplus(B,v1))|le_q(A,B).
% 1.75/1.95 ** KEPT (pick-wt=8): 4 [] -greater(A,B)|ge_q(A,vplus(B,v1)).
% 1.75/1.95 ** KEPT (pick-wt=10): 6 [copy,5,flip.2] -greater(A,B)|vplus(B,$f1(B,A))=A.
% 1.75/1.95 ** KEPT (pick-wt=8): 7 [] greater(A,B)|A!=vplus(B,C).
% 1.75/1.95 ** KEPT (pick-wt=8): 8 [] A!=B|B!=vplus(A,C).
% 1.75/1.95 ** KEPT (pick-wt=10): 9 [] A!=vplus(B,C)|B!=vplus(A,D).
% 1.75/1.95 ** KEPT (pick-wt=8): 10 [] A!=B|A!=vplus(B,C).
% 1.75/1.95 ** KEPT (pick-wt=10): 11 [] A=B|vplus(C,A)!=vplus(C,B).
% 1.75/1.95 ** KEPT (pick-wt=5): 13 [copy,12,flip.1] vplus(A,B)!=B.
% 1.75/1.95 ** KEPT (pick-wt=4): 14 [] vsucc(A)!=A.
% 1.75/1.95 ** KEPT (pick-wt=8): 15 [] A=B|vsucc(A)!=vsucc(B).
% 1.75/1.95
% 1.75/1.95 ------------> process sos:
% 1.75/1.95 ** KEPT (pick-wt=3): 17 [] A=A.
% 1.75/1.95 ** KEPT (pick-wt=9): 19 [copy,18,flip.1] vmul(vplus(vd471,vd473),vd469)=vmul(vd470,vd469).
% 1.75/1.95 ---> New Demodulator: 20 [new_demod,19] vmul(vplus(vd471,vd473),vd469)=vmul(vd470,vd469).
% 1.75/1.95 ** KEPT (pick-wt=5): 22 [copy,21,flip.1] vplus(vd471,vd473)=vd470.
% 1.75/1.95 ---> New Demodulator: 23 [new_demod,22] vplus(vd471,vd473)=vd470.
% 1.75/1.95 ** KEPT (pick-wt=3): 24 [] greater(vd470,vd471).
% 1.75/1.95 ** KEPT (pick-wt=11): 25 [] vmul(vmul(A,B),C)=vmul(A,vmul(B,C)).
% 1.75/1.95 ---> New Demodulator: 26 [new_demod,25] vmul(vmul(A,B),C)=vmul(A,vmul(B,C)).
% 1.75/1.95 ** KEPT (pick-wt=13): 28 [copy,27,flip.1] vplus(vmul(A,B),vmul(A,C))=vmul(A,vplus(B,C)).
% 1.75/1.96 ---> New Demodulator: 29 [new_demod,28] vplus(vmul(A,B),vmul(A,C))=vmul(A,vplus(B,C)).
% 1.75/1.96 ** KEPT (pick-wt=7): 30 [] vmul(A,B)=vmul(B,A).
% 1.75/1.96 ** KEPT (pick-wt=10): 31 [] vmul(vsucc(A),B)=vplus(vmul(A,B),B).
% 1.75/1.96 ** KEPT (pick-wt=5): 32 [] vmul(v1,A)=A.
% 1.75/1.96 ---> New Demodulator: 33 [new_demod,32] vmul(v1,A)=A.
% 1.75/1.96 ** KEPT (pick-wt=10): 34 [] vmul(A,vsucc(B))=vplus(vmul(A,B),A).
% 1.75/1.96 ** KEPT (pick-wt=5): 35 [] vmul(A,v1)=A.
% 1.75/1.96 ---> New Demodulator: 36 [new_demod,35] vmul(A,v1)=A.
% 1.75/1.96 ** KEPT (pick-wt=17): 38 [copy,37,flip.2,flip.3] A=B|vplus(B,$f2(A,B))=A|vplus(A,$f3(A,B))=B.
% 1.75/1.96 ** KEPT (pick-wt=7): 39 [] vplus(A,B)=vplus(B,A).
% 1.75/1.96 ** KEPT (pick-wt=9): 41 [copy,40,flip.1] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.75/1.96 ---> New Demodulator: 42 [new_demod,41] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.75/1.96 ** KEPT (pick-wt=6): 44 [copy,43,flip.1] vsucc(A)=vplus(v1,A).
% 1.75/1.96 ---> New Demodulator: 45 [new_demod,44] vsucc(A)=vplus(v1,A).
% 1.75/1.96 ** KEPT (pick-wt=11): 46 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.75/1.96 ---> New Demodulator: 47 [new_demod,46] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.75/1.96 ** KEPT (pick-wt=11): 49 [copy,48,demod,45,45] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.75/1.96 Following clause subsumed by 39 during input processing: 0 [demod,45] vplus(A,v1)=vplus(v1,A).
% 1.75/1.96 ** KEPT (pick-wt=9): 51 [copy,50,demod,45,flip.2] A=v1|vplus(v1,vskolem2(A))=A.
% 1.75/1.96 Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] A=A.
% 1.75/1.96 >>>> Starting back demodulation with 20.
% 1.75/1.96 >> back demodulating 2 with 20.
% 1.75/1.96 >>>> Starting back demodulation with 23.
% 1.75/1.96 >> back demodulating 19 with 23.
% 1.75/1.96 >>>> Starting back demodulation with 26.
% 1.75/1.96 >>>> Starting back demodulation with 29.
% 1.75/1.96 Following clause subsumed by 30 during input processing: 0 [copy,30,flip.1] vmul(A,B)=vmul(B,A).
% 1.75/1.96 ** KEPT (pick-wt=11): 53 [copy,31,flip.1,demod,45] vplus(vmul(A,B),B)=vmul(vplus(v1,A),B).
% 1.75/1.96 ---> New Demodulator: 54 [new_demod,53] vplus(vmul(A,B),B)=vmul(vplus(v1,A),B).
% 1.75/1.96 >>>> Starting back demodulation with 33.
% 1.75/1.96 ** KEPT (pick-wt=11): 55 [copy,34,flip.1,demod,45] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.81/1.98 ---> New Demodulator: 56 [new_demod,55] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.81/1.98 >>>> Starting back demodulation with 36.
% 1.81/1.98 Following clause subsumed by 39 during input processing: 0 [copy,39,flip.1] vplus(A,B)=vplus(B,A).
% 1.81/1.98 >>>> Starting back demodulation with 42.
% 1.81/1.98 >>>> Starting back demodulation with 45.
% 1.81/1.98 >> back demodulating 41 with 45.
% 1.81/1.98 >> back demodulating 34 with 45.
% 1.81/1.98 >> back demodulating 31 with 45.
% 1.81/1.98 >> back demodulating 15 with 45.
% 1.81/1.98 >> back demodulating 14 with 45.
% 1.81/1.98 >>>> Starting back demodulation with 47.
% 1.81/1.98 ** KEPT (pick-wt=11): 57 [copy,49,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 1.81/1.98 >>>> Starting back demodulation with 54.
% 1.81/1.98 >>>> Starting back demodulation with 56.
% 1.81/1.98 Following clause subsumed by 49 during input processing: 0 [copy,57,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.81/1.98
% 1.81/1.98 ======= end of input processing =======
% 1.81/1.98
% 1.81/1.98 =========== start of search ===========
% 1.81/1.98
% 1.81/1.98 -------- PROOF --------
% 1.81/1.98
% 1.81/1.98 ----> UNIT CONFLICT at 0.03 sec ----> 476 [binary,475.1,30.1] $F.
% 1.81/1.98
% 1.81/1.98 Length of proof is 6. Level of proof is 3.
% 1.81/1.98
% 1.81/1.98 ---------------- PROOF ----------------
% 1.81/1.98 % SZS status Theorem
% 1.81/1.98 % SZS output start Refutation
% See solution above
% 1.81/1.98 ------------ end of proof -------------
% 1.81/1.98
% 1.81/1.98
% 1.81/1.98 Search stopped by max_proofs option.
% 1.81/1.98
% 1.81/1.98
% 1.81/1.98 Search stopped by max_proofs option.
% 1.81/1.98
% 1.81/1.98 ============ end of search ============
% 1.81/1.98
% 1.81/1.98 -------------- statistics -------------
% 1.81/1.98 clauses given 31
% 1.81/1.98 clauses generated 695
% 1.81/1.98 clauses kept 431
% 1.81/1.98 clauses forward subsumed 325
% 1.81/1.98 clauses back subsumed 7
% 1.81/1.98 Kbytes malloced 3906
% 1.81/1.98
% 1.81/1.98 ----------- times (seconds) -----------
% 1.81/1.98 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 1.81/1.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.81/1.98 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.81/1.98
% 1.81/1.98 That finishes the proof of the theorem.
% 1.81/1.98
% 1.81/1.98 Process 31435 finished Wed Jul 27 09:45:31 2022
% 1.81/1.98 Otter interrupted
% 1.81/1.98 PROOF FOUND
%------------------------------------------------------------------------------