TSTP Solution File: NUM844+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM844+2 : 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 13:10:05 EDT 2022
% Result : Theorem 1.67s 1.87s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 11 RR)
% Number of literals : 15 ( 14 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('NUM844+2.p',unknown),
[] ).
cnf(2,plain,
vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)) != vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(9,axiom,
vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)) = vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))),
file('NUM844+2.p',unknown),
[] ).
cnf(10,axiom,
vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)) = vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)),
file('NUM844+2.p',unknown),
[] ).
cnf(12,plain,
vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)) = vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[10]),9]),
[iquote('copy,10,demod,9')] ).
cnf(13,axiom,
vmul(vsucc(vd411),vsucc(vd413)) = vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)),
file('NUM844+2.p',unknown),
[] ).
cnf(14,plain,
vmul(vsucc(vd411),vsucc(vd413)) = vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[13]),12]),
[iquote('copy,13,demod,12')] ).
cnf(31,axiom,
vplus(A,B) = vplus(B,A),
file('NUM844+2.p',unknown),
[] ).
cnf(35,axiom,
vplus(v1,A) = vsucc(A),
file('NUM844+2.p',unknown),
[] ).
cnf(37,plain,
vsucc(A) = vplus(v1,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[35])]),
[iquote('copy,35,flip.1')] ).
cnf(39,axiom,
vplus(vplus(A,B),C) = vplus(A,vplus(B,C)),
file('NUM844+2.p',unknown),
[] ).
cnf(49,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) = vmul(vplus(v1,vd411),vplus(v1,vd413)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[14]),37,37,37])]),
[iquote('back_demod,14,demod,37,37,37,flip.1')] ).
cnf(50,plain,
vplus(vmul(vd411,vd413),vplus(v1,vplus(vd411,vd413))) != vmul(vplus(v1,vd411),vplus(v1,vd413)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2]),37,39,37,49]),
[iquote('back_demod,2,demod,37,39,37,49')] ).
cnf(227,plain,
vplus(vmul(vd411,vd413),vplus(v1,vplus(vd411,vd413))) = vmul(vplus(v1,vd411),vplus(v1,vd413)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[49,31]),39]),
[iquote('para_into,48.1.1.2,31.1.1,demod,39')] ).
cnf(229,plain,
$false,
inference(binary,[status(thm)],[227,50]),
[iquote('binary,227.1,50.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM844+2 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 09:34:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.67/1.86 ----- Otter 3.3f, August 2004 -----
% 1.67/1.86 The process was started by sandbox on n014.cluster.edu,
% 1.67/1.86 Wed Jul 27 09:34:24 2022
% 1.67/1.86 The command was "./otter". The process ID is 1358.
% 1.67/1.86
% 1.67/1.86 set(prolog_style_variables).
% 1.67/1.86 set(auto).
% 1.67/1.86 dependent: set(auto1).
% 1.67/1.86 dependent: set(process_input).
% 1.67/1.86 dependent: clear(print_kept).
% 1.67/1.86 dependent: clear(print_new_demod).
% 1.67/1.86 dependent: clear(print_back_demod).
% 1.67/1.86 dependent: clear(print_back_sub).
% 1.67/1.86 dependent: set(control_memory).
% 1.67/1.86 dependent: assign(max_mem, 12000).
% 1.67/1.86 dependent: assign(pick_given_ratio, 4).
% 1.67/1.86 dependent: assign(stats_level, 1).
% 1.67/1.86 dependent: assign(max_seconds, 10800).
% 1.67/1.86 clear(print_given).
% 1.67/1.86
% 1.67/1.86 formula_list(usable).
% 1.67/1.86 all A (A=A).
% 1.67/1.86 vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411)))!=vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)).
% 1.67/1.86 vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411))=vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))).
% 1.67/1.86 vplus(vmul(vsucc(vd411),vd413),vsucc(vd411))=vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)).
% 1.67/1.86 vmul(vsucc(vd411),vsucc(vd413))=vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)).
% 1.67/1.86 vmul(vsucc(vd411),vd413)=vplus(vmul(vd411,vd413),vd413).
% 1.67/1.86 vsucc(vmul(vd411,v1))=vplus(vmul(vd411,v1),v1).
% 1.67/1.86 vsucc(vd411)=vsucc(vmul(vd411,v1)).
% 1.67/1.86 vmul(vsucc(vd411),v1)=vsucc(vd411).
% 1.67/1.86 all Vd400 (vmul(v1,Vd400)=Vd400).
% 1.67/1.86 all Vd396 Vd397 (vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396)&vmul(Vd396,v1)=Vd396).
% 1.67/1.86 all Vd386 Vd387 (less(Vd386,vplus(Vd387,v1))->le_q(Vd386,Vd387)).
% 1.67/1.86 all Vd375 Vd376 (greater(Vd375,Vd376)->ge_q(Vd375,vplus(Vd376,v1))).
% 1.67/1.86 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 1.67/1.86 all Vd68 Vd69 (vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69))).
% 1.67/1.86 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 1.67/1.86 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 1.67/1.86 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 1.67/1.86 all Vd24 (Vd24!=v1->Vd24=vsucc(vskolem2(Vd24))).
% 1.67/1.86 all Vd16 (vsucc(Vd16)!=Vd16).
% 1.67/1.86 all Vd7 Vd8 (Vd7!=Vd8->vsucc(Vd7)!=vsucc(Vd8)).
% 1.67/1.86 end_of_list.
% 1.67/1.86
% 1.67/1.86 -------> usable clausifies to:
% 1.67/1.86
% 1.67/1.86 list(usable).
% 1.67/1.86 0 [] A=A.
% 1.67/1.86 0 [] vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411)))!=vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)).
% 1.67/1.86 0 [] vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411))=vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))).
% 1.67/1.86 0 [] vplus(vmul(vsucc(vd411),vd413),vsucc(vd411))=vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)).
% 1.67/1.86 0 [] vmul(vsucc(vd411),vsucc(vd413))=vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)).
% 1.67/1.86 0 [] vmul(vsucc(vd411),vd413)=vplus(vmul(vd411,vd413),vd413).
% 1.67/1.86 0 [] vsucc(vmul(vd411,v1))=vplus(vmul(vd411,v1),v1).
% 1.67/1.86 0 [] vsucc(vd411)=vsucc(vmul(vd411,v1)).
% 1.67/1.86 0 [] vmul(vsucc(vd411),v1)=vsucc(vd411).
% 1.67/1.86 0 [] vmul(v1,Vd400)=Vd400.
% 1.67/1.86 0 [] vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396).
% 1.67/1.86 0 [] vmul(Vd396,v1)=Vd396.
% 1.67/1.86 0 [] -less(Vd386,vplus(Vd387,v1))|le_q(Vd386,Vd387).
% 1.67/1.86 0 [] -greater(Vd375,Vd376)|ge_q(Vd375,vplus(Vd376,v1)).
% 1.67/1.86 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 1.67/1.86 0 [] vplus(vsucc(Vd68),Vd69)=vsucc(vplus(Vd68,Vd69)).
% 1.67/1.86 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 1.67/1.86 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 1.67/1.86 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 1.67/1.86 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 1.67/1.86 0 [] Vd24=v1|Vd24=vsucc(vskolem2(Vd24)).
% 1.67/1.86 0 [] vsucc(Vd16)!=Vd16.
% 1.67/1.86 0 [] Vd7=Vd8|vsucc(Vd7)!=vsucc(Vd8).
% 1.67/1.86 end_of_list.
% 1.67/1.86
% 1.67/1.86 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=2.
% 1.67/1.86
% 1.67/1.86 This ia a non-Horn set with equality. The strategy will be
% 1.67/1.86 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.67/1.86 deletion, with positive clauses in sos and nonpositive
% 1.67/1.86 clauses in usable.
% 1.67/1.86
% 1.67/1.86 dependent: set(knuth_bendix).
% 1.67/1.86 dependent: set(anl_eq).
% 1.67/1.86 dependent: set(para_from).
% 1.67/1.86 dependent: set(para_into).
% 1.67/1.86 dependent: clear(para_from_right).
% 1.67/1.86 dependent: clear(para_into_right).
% 1.67/1.86 dependent: set(para_from_vars).
% 1.67/1.86 dependent: set(eq_units_both_ways).
% 1.67/1.86 dependent: set(dynamic_demod_all).
% 1.67/1.86 dependent: set(dynamic_demod).
% 1.67/1.86 dependent: set(order_eq).
% 1.67/1.86 dependent: set(back_demod).
% 1.67/1.86 dependent: set(lrpo).
% 1.67/1.86 dependent: set(hyper_res).
% 1.67/1.86 dependent: set(unit_deletion).
% 1.67/1.86 dependent: set(factor).
% 1.67/1.86
% 1.67/1.86 ------------> process usable:
% 1.67/1.86 ** KEPT (pick-wt=17): 2 [copy,1,flip.1] vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413))!=vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))).
% 1.67/1.86 ** KEPT (pick-wt=8): 3 [] -less(A,vplus(B,v1))|le_q(A,B).
% 1.67/1.86 ** KEPT (pick-wt=8): 4 [] -greater(A,B)|ge_q(A,vplus(B,v1)).
% 1.67/1.86 ** KEPT (pick-wt=4): 5 [] vsucc(A)!=A.
% 1.67/1.86 ** KEPT (pick-wt=8): 6 [] A=B|vsucc(A)!=vsucc(B).
% 1.67/1.86
% 1.67/1.86 ------------> process sos:
% 1.67/1.86 ** KEPT (pick-wt=3): 7 [] A=A.
% 1.67/1.86 ** KEPT (pick-wt=17): 8 [] vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411))=vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))).
% 1.67/1.86 ---> New Demodulator: 9 [new_demod,8] vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411))=vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))).
% 1.67/1.86 ** KEPT (pick-wt=16): 11 [copy,10,demod,9] vplus(vmul(vsucc(vd411),vd413),vsucc(vd411))=vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))).
% 1.67/1.86 ---> New Demodulator: 12 [new_demod,11] vplus(vmul(vsucc(vd411),vd413),vsucc(vd411))=vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))).
% 1.67/1.86 ** KEPT (pick-wt=14): 14 [copy,13,demod,12] vmul(vsucc(vd411),vsucc(vd413))=vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))).
% 1.67/1.86 ---> New Demodulator: 15 [new_demod,14] vmul(vsucc(vd411),vsucc(vd413))=vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))).
% 1.67/1.86 ** KEPT (pick-wt=10): 16 [] vmul(vsucc(vd411),vd413)=vplus(vmul(vd411,vd413),vd413).
% 1.67/1.86 ---> New Demodulator: 17 [new_demod,16] vmul(vsucc(vd411),vd413)=vplus(vmul(vd411,vd413),vd413).
% 1.67/1.86 ** KEPT (pick-wt=10): 18 [] vsucc(vmul(vd411,v1))=vplus(vmul(vd411,v1),v1).
% 1.67/1.86 ---> New Demodulator: 19 [new_demod,18] vsucc(vmul(vd411,v1))=vplus(vmul(vd411,v1),v1).
% 1.67/1.86 ** KEPT (pick-wt=8): 21 [copy,20,demod,19] vsucc(vd411)=vplus(vmul(vd411,v1),v1).
% 1.67/1.86 ---> New Demodulator: 22 [new_demod,21] vsucc(vd411)=vplus(vmul(vd411,v1),v1).
% 1.67/1.86 ** KEPT (pick-wt=13): 24 [copy,23,demod,22,22] vmul(vplus(vmul(vd411,v1),v1),v1)=vplus(vmul(vd411,v1),v1).
% 1.67/1.86 ---> New Demodulator: 25 [new_demod,24] vmul(vplus(vmul(vd411,v1),v1),v1)=vplus(vmul(vd411,v1),v1).
% 1.67/1.86 ** KEPT (pick-wt=5): 26 [] vmul(v1,A)=A.
% 1.67/1.86 ---> New Demodulator: 27 [new_demod,26] vmul(v1,A)=A.
% 1.67/1.86 ** KEPT (pick-wt=10): 28 [] vmul(A,vsucc(B))=vplus(vmul(A,B),A).
% 1.67/1.86 ** KEPT (pick-wt=5): 29 [] vmul(A,v1)=A.
% 1.67/1.86 ---> New Demodulator: 30 [new_demod,29] vmul(A,v1)=A.
% 1.67/1.86 ** KEPT (pick-wt=7): 31 [] vplus(A,B)=vplus(B,A).
% 1.67/1.86 ** KEPT (pick-wt=9): 33 [copy,32,flip.1] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.67/1.86 ---> New Demodulator: 34 [new_demod,33] vsucc(vplus(A,B))=vplus(vsucc(A),B).
% 1.67/1.86 ** KEPT (pick-wt=6): 36 [copy,35,flip.1] vsucc(A)=vplus(v1,A).
% 1.67/1.86 ---> New Demodulator: 37 [new_demod,36] vsucc(A)=vplus(v1,A).
% 1.67/1.86 ** KEPT (pick-wt=11): 38 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.67/1.86 ---> New Demodulator: 39 [new_demod,38] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.67/1.86 ** KEPT (pick-wt=11): 41 [copy,40,demod,37,37] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.67/1.86 Following clause subsumed by 31 during input processing: 0 [demod,37] vplus(A,v1)=vplus(v1,A).
% 1.67/1.86 ** KEPT (pick-wt=9): 43 [copy,42,demod,37,flip.2] A=v1|vplus(v1,vskolem2(A))=A.
% 1.67/1.86 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A.
% 1.67/1.86 >>>> Starting back demodulation with 9.
% 1.67/1.86 >>>> Starting back demodulation with 12.
% 1.67/1.86 >>>> Starting back demodulation with 15.
% 1.67/1.86 >>>> Starting back demodulation with 17.
% 1.67/1.86 >> back demodulating 11 with 17.
% 1.67/1.86 >>>> Starting back demodulation with 19.
% 1.67/1.86 >>>> Starting back demodulation with 22.
% 1.67/1.86 >> back demodulating 16 with 22.
% 1.67/1.86 >> back demodulating 14 with 22.
% 1.67/1.86 >> back demodulating 8 with 22.
% 1.67/1.86 >> back demodulating 2 with 22.
% 1.67/1.86 >>>> Starting back demodulation with 25.
% 1.67/1.86 >>>> Starting back demodulation with 27.
% 1.67/1.86 ** KEPT (pick-wt=11): 51 [copy,28,flip.1,demod,37] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.67/1.86 ---> New Demodulator: 52 [new_demod,51] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.67/1.86 >>>> Starting back demodulation with 30.
% 1.67/1.86 >> back demodulating 24 with 30.
% 1.67/1.86 >> back demodulating 21 with 30.
% 1.67/1.86 >> back demodulating 18 with 30.
% 1.67/1.86 Following clause subsumed by 31 during input processing: 0 [copy,31,flip.1] vplus(A,B)=vplus(B,A).
% 1.67/1.86 >>>> Starting back demodulation with 34.
% 1.67/1.86 >>>> Starting back demodulation with 37.
% 1.67/1.86 >> back demodulating 33 with 37.
% 1.67/1.86 >> back demodulating 28 with 37.
% 1.67/1.86 >> back demodulating 6 with 37.
% 1.67/1.86 >> back demodulating 5 with 37.
% 1.67/1.87 >>>> Starting back demodulation with 39.
% 1.67/1.87 ** KEPT (pick-wt=11): 55 [copy,41,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 1.67/1.87 >>>> Starting back demodulation with 45.
% 1.67/1.87 >>>> Starting back demodulation with 47.
% 1.67/1.87 >>>> Starting back demodulation with 49.
% 1.67/1.87 >> back demodulating 44 with 49.
% 1.67/1.87 >>>> Starting back demodulation with 52.
% 1.67/1.87 Following clause subsumed by 41 during input processing: 0 [copy,55,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.67/1.87
% 1.67/1.87 ======= end of input processing =======
% 1.67/1.87
% 1.67/1.87 =========== start of search ===========
% 1.67/1.87
% 1.67/1.87 -------- PROOF --------
% 1.67/1.87
% 1.67/1.87 ----> UNIT CONFLICT at 0.01 sec ----> 229 [binary,227.1,50.1] $F.
% 1.67/1.87
% 1.67/1.87 Length of proof is 7. Level of proof is 4.
% 1.67/1.87
% 1.67/1.87 ---------------- PROOF ----------------
% 1.67/1.87 % SZS status Theorem
% 1.67/1.87 % SZS output start Refutation
% See solution above
% 1.67/1.87 ------------ end of proof -------------
% 1.67/1.87
% 1.67/1.87
% 1.67/1.87 Search stopped by max_proofs option.
% 1.67/1.87
% 1.67/1.87
% 1.67/1.87 Search stopped by max_proofs option.
% 1.67/1.87
% 1.67/1.87 ============ end of search ============
% 1.67/1.87
% 1.67/1.87 -------------- statistics -------------
% 1.67/1.87 clauses given 21
% 1.67/1.87 clauses generated 321
% 1.67/1.87 clauses kept 197
% 1.67/1.87 clauses forward subsumed 165
% 1.67/1.87 clauses back subsumed 5
% 1.67/1.87 Kbytes malloced 1953
% 1.67/1.87
% 1.67/1.87 ----------- times (seconds) -----------
% 1.67/1.87 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.67/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.87 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.87
% 1.67/1.87 That finishes the proof of the theorem.
% 1.67/1.87
% 1.67/1.87 Process 1358 finished Wed Jul 27 09:34:25 2022
% 1.67/1.87 Otter interrupted
% 1.67/1.87 PROOF FOUND
%------------------------------------------------------------------------------