TSTP Solution File: KRS143+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS143+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:01:25 EDT 2022
% Result : Theorem 1.75s 1.98s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 39 ( 11 unt; 21 nHn; 36 RR)
% Number of literals : 123 ( 7 equ; 59 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 23 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
~ cowlNothing(A),
file('KRS143+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS143+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ cc(A)
| rp(A,dollar_f1(A)) ),
file('KRS143+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ cc(A)
| ~ rp(A,B)
| ~ rp(A,C)
| B = C ),
file('KRS143+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c5) ),
file('KRS143+1.p',unknown),
[] ).
cnf(13,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c5) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[12]),8]),
[iquote('copy,12,unit_del,8')] ).
cnf(14,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| rp(dollar_c5,dollar_c4) ),
file('KRS143+1.p',unknown),
[] ).
cnf(15,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| rp(dollar_c5,dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[14]),8]),
[iquote('copy,14,unit_del,8')] ).
cnf(16,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| rp(dollar_c5,dollar_c3) ),
file('KRS143+1.p',unknown),
[] ).
cnf(17,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| rp(dollar_c5,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[16]),8]),
[iquote('copy,16,unit_del,8')] ).
cnf(18,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| dollar_c4 != dollar_c3 ),
file('KRS143+1.p',unknown),
[] ).
cnf(19,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| dollar_c4 != dollar_c3 ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[18]),8]),
[iquote('copy,18,unit_del,8')] ).
cnf(20,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c5) ),
file('KRS143+1.p',unknown),
[] ).
cnf(21,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c5) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[20]),8]),
[iquote('copy,20,unit_del,8')] ).
cnf(22,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| rp(dollar_c5,dollar_c4) ),
file('KRS143+1.p',unknown),
[] ).
cnf(23,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| rp(dollar_c5,dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[22]),8]),
[iquote('copy,22,unit_del,8')] ).
cnf(24,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| rp(dollar_c5,dollar_c3) ),
file('KRS143+1.p',unknown),
[] ).
cnf(25,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| rp(dollar_c5,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[24]),8]),
[iquote('copy,24,unit_del,8')] ).
cnf(26,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| dollar_c4 != dollar_c3 ),
file('KRS143+1.p',unknown),
[] ).
cnf(27,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A)
| dollar_c4 != dollar_c3 ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[26]),8]),
[iquote('copy,26,unit_del,8')] ).
cnf(29,axiom,
A = A,
file('KRS143+1.p',unknown),
[] ).
cnf(30,axiom,
cowlThing(A),
file('KRS143+1.p',unknown),
[] ).
cnf(31,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS143+1.p',unknown),
[] ).
cnf(32,plain,
( xsd_integer(dollar_c2)
| cc(dollar_c5) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[31,21,30])]),
[iquote('hyper,31,21,30,factor_simp')] ).
cnf(33,plain,
( cc(dollar_c5)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[32,13,30])]),
[iquote('hyper,32,13,30,factor_simp')] ).
cnf(36,plain,
cc(dollar_c5),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[33,9,32])]),
[iquote('hyper,33,9,32,factor_simp')] ).
cnf(44,plain,
rp(dollar_c5,dollar_f1(dollar_c5)),
inference(hyper,[status(thm)],[36,10]),
[iquote('hyper,36,10')] ).
cnf(46,plain,
( xsd_integer(dollar_c2)
| rp(dollar_c5,dollar_c3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[44,25,30,31])]),
[iquote('hyper,44,25,30,31,factor_simp')] ).
cnf(47,plain,
( xsd_integer(dollar_c2)
| rp(dollar_c5,dollar_c4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[44,23,30,31])]),
[iquote('hyper,44,23,30,31,factor_simp')] ).
cnf(51,plain,
( rp(dollar_c5,dollar_c3)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[46,17,30,44])]),
[iquote('hyper,46,17,30,44,factor_simp')] ).
cnf(55,plain,
( rp(dollar_c5,dollar_c4)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[47,15,30,44])]),
[iquote('hyper,47,15,30,44,factor_simp')] ).
cnf(74,plain,
rp(dollar_c5,dollar_c3),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[51,9,46])]),
[iquote('hyper,51,9,46,factor_simp')] ).
cnf(80,plain,
rp(dollar_c5,dollar_c4),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[55,9,47])]),
[iquote('hyper,55,9,47,factor_simp')] ).
cnf(83,plain,
dollar_c4 = dollar_c3,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[80,11,36,74])]),
[iquote('hyper,80,11,36,74,flip.1')] ).
cnf(84,plain,
( ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A) ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[27]),83]),30,29]),
[iquote('back_demod,27,demod,83,unit_del,30,29')] ).
cnf(85,plain,
( xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c5,A) ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[19]),83]),30,29]),
[iquote('back_demod,19,demod,83,unit_del,30,29')] ).
cnf(86,plain,
xsd_integer(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[84,31,74])]),
[iquote('hyper,84,31,74,factor_simp')] ).
cnf(96,plain,
xsd_string(dollar_c2),
inference(hyper,[status(thm)],[85,86,74]),
[iquote('hyper,85,86,74')] ).
cnf(97,plain,
$false,
inference(hyper,[status(thm)],[96,9,86]),
[iquote('hyper,96,9,86')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS143+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n019.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 03:27:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.75/1.97 ----- Otter 3.3f, August 2004 -----
% 1.75/1.97 The process was started by sandbox on n019.cluster.edu,
% 1.75/1.97 Wed Jul 27 03:27:37 2022
% 1.75/1.97 The command was "./otter". The process ID is 32169.
% 1.75/1.97
% 1.75/1.97 set(prolog_style_variables).
% 1.75/1.97 set(auto).
% 1.75/1.97 dependent: set(auto1).
% 1.75/1.97 dependent: set(process_input).
% 1.75/1.97 dependent: clear(print_kept).
% 1.75/1.97 dependent: clear(print_new_demod).
% 1.75/1.97 dependent: clear(print_back_demod).
% 1.75/1.97 dependent: clear(print_back_sub).
% 1.75/1.97 dependent: set(control_memory).
% 1.75/1.97 dependent: assign(max_mem, 12000).
% 1.75/1.97 dependent: assign(pick_given_ratio, 4).
% 1.75/1.97 dependent: assign(stats_level, 1).
% 1.75/1.97 dependent: assign(max_seconds, 10800).
% 1.75/1.97 clear(print_given).
% 1.75/1.97
% 1.75/1.97 formula_list(usable).
% 1.75/1.97 all A (A=A).
% 1.75/1.97 all A B (A=B&cc(A)->cc(B)).
% 1.75/1.97 all A B (A=B&cowlNothing(A)->cowlNothing(B)).
% 1.75/1.97 all A B (A=B&cowlThing(A)->cowlThing(B)).
% 1.75/1.97 all A B C (A=B&rp(A,C)->rp(B,C)).
% 1.75/1.97 all A B C (A=B&rp(C,A)->rp(C,B)).
% 1.75/1.97 all A B (A=B&xsd_integer(A)->xsd_integer(B)).
% 1.75/1.97 all A B (A=B&xsd_string(A)->xsd_string(B)).
% 1.75/1.97 all X (cowlThing(X)& -cowlNothing(X)).
% 1.75/1.97 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.75/1.97 all X (cc(X)-> (exists Y0 rp(X,Y0))).
% 1.75/1.97 all X (cc(X)-> (all Y0 Y1 (rp(X,Y0)&rp(X,Y1)->Y0=Y1))).
% 1.75/1.97 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))& (all X (cc(X)-> (exists Y0 rp(X,Y0))& (all Y0 Y1 (rp(X,Y0)&rp(X,Y1)->Y0=Y1))))).
% 1.75/1.97 end_of_list.
% 1.75/1.97
% 1.75/1.97 -------> usable clausifies to:
% 1.75/1.97
% 1.75/1.97 list(usable).
% 1.75/1.97 0 [] A=A.
% 1.75/1.97 0 [] A!=B| -cc(A)|cc(B).
% 1.75/1.97 0 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.75/1.97 0 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.75/1.97 0 [] A!=B| -rp(A,C)|rp(B,C).
% 1.75/1.97 0 [] A!=B| -rp(C,A)|rp(C,B).
% 1.75/1.97 0 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.75/1.97 0 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.75/1.97 0 [] cowlThing(X).
% 1.75/1.97 0 [] -cowlNothing(X).
% 1.75/1.97 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.75/1.97 0 [] xsd_string(X)|xsd_integer(X).
% 1.75/1.97 0 [] -cc(X)|rp(X,$f1(X)).
% 1.75/1.97 0 [] -cc(X)| -rp(X,Y0)| -rp(X,Y1)|Y0=Y1.
% 1.75/1.97 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c5).
% 1.75/1.97 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c5,Y0)|rp($c5,$c4).
% 1.75/1.97 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c5,Y0)|rp($c5,$c3).
% 1.75/1.97 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c5,Y0)|$c4!=$c3.
% 1.75/1.97 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c5).
% 1.75/1.97 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c5,Y0)|rp($c5,$c4).
% 1.75/1.97 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c5,Y0)|rp($c5,$c3).
% 1.75/1.97 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c5,Y0)|$c4!=$c3.
% 1.75/1.97 end_of_list.
% 1.75/1.97
% 1.75/1.97 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.75/1.97
% 1.75/1.97 This ia a non-Horn set with equality. The strategy will be
% 1.75/1.97 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.75/1.97 deletion, with positive clauses in sos and nonpositive
% 1.75/1.97 clauses in usable.
% 1.75/1.97
% 1.75/1.97 dependent: set(knuth_bendix).
% 1.75/1.97 dependent: set(anl_eq).
% 1.75/1.97 dependent: set(para_from).
% 1.75/1.97 dependent: set(para_into).
% 1.75/1.97 dependent: clear(para_from_right).
% 1.75/1.97 dependent: clear(para_into_right).
% 1.75/1.97 dependent: set(para_from_vars).
% 1.75/1.97 dependent: set(eq_units_both_ways).
% 1.75/1.97 dependent: set(dynamic_demod_all).
% 1.75/1.97 dependent: set(dynamic_demod).
% 1.75/1.97 dependent: set(order_eq).
% 1.75/1.97 dependent: set(back_demod).
% 1.75/1.97 dependent: set(lrpo).
% 1.75/1.97 dependent: set(hyper_res).
% 1.75/1.97 dependent: set(unit_deletion).
% 1.75/1.97 dependent: set(factor).
% 1.75/1.97
% 1.75/1.97 ------------> process usable:
% 1.75/1.97 ** KEPT (pick-wt=7): 1 [] A!=B| -cc(A)|cc(B).
% 1.75/1.97 ** KEPT (pick-wt=7): 2 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.75/1.97 ** KEPT (pick-wt=7): 3 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.75/1.97 ** KEPT (pick-wt=9): 4 [] A!=B| -rp(A,C)|rp(B,C).
% 1.75/1.97 ** KEPT (pick-wt=9): 5 [] A!=B| -rp(C,A)|rp(C,B).
% 1.75/1.97 ** KEPT (pick-wt=7): 6 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.75/1.97 ** KEPT (pick-wt=7): 7 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.75/1.97 ** KEPT (pick-wt=2): 8 [] -cowlNothing(A).
% 1.75/1.97 ** KEPT (pick-wt=4): 9 [] -xsd_string(A)| -xsd_integer(A).
% 1.75/1.97 ** KEPT (pick-wt=6): 10 [] -cc(A)|rp(A,$f1(A)).
% 1.75/1.97 ** KEPT (pick-wt=11): 11 [] -cc(A)| -rp(A,B)| -rp(A,C)|B=C.
% 1.75/1.97 ** KEPT (pick-wt=8): 13 [copy,12,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c5).
% 1.75/1.97 ** KEPT (pick-wt=12): 15 [copy,14,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c5,A)|rp($c5,$c4).
% 1.75/1.98 ** KEPT (pick-wt=12): 17 [copy,16,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c5,A)|rp($c5,$c3).
% 1.75/1.98 ** KEPT (pick-wt=12): 19 [copy,18,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c5,A)|$c4!=$c3.
% 1.75/1.98 ** KEPT (pick-wt=8): 21 [copy,20,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c5).
% 1.75/1.98 ** KEPT (pick-wt=12): 23 [copy,22,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c5,A)|rp($c5,$c4).
% 1.75/1.98 ** KEPT (pick-wt=12): 25 [copy,24,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c5,A)|rp($c5,$c3).
% 1.75/1.98 ** KEPT (pick-wt=12): 27 [copy,26,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c5,A)|$c4!=$c3.
% 1.75/1.98 8 back subsumes 2.
% 1.75/1.98
% 1.75/1.98 ------------> process sos:
% 1.75/1.98 ** KEPT (pick-wt=3): 29 [] A=A.
% 1.75/1.98 ** KEPT (pick-wt=2): 30 [] cowlThing(A).
% 1.75/1.98 ** KEPT (pick-wt=4): 31 [] xsd_string(A)|xsd_integer(A).
% 1.75/1.98 Following clause subsumed by 29 during input processing: 0 [copy,29,flip.1] A=A.
% 1.75/1.98 29 back subsumes 28.
% 1.75/1.98 30 back subsumes 3.
% 1.75/1.98
% 1.75/1.98 ======= end of input processing =======
% 1.75/1.98
% 1.75/1.98 =========== start of search ===========
% 1.75/1.98
% 1.75/1.98 -------- PROOF --------
% 1.75/1.98
% 1.75/1.98 -----> EMPTY CLAUSE at 0.01 sec ----> 97 [hyper,96,9,86] $F.
% 1.75/1.98
% 1.75/1.98 Length of proof is 23. Level of proof is 12.
% 1.75/1.98
% 1.75/1.98 ---------------- PROOF ----------------
% 1.75/1.98 % SZS status Theorem
% 1.75/1.98 % SZS output start Refutation
% See solution above
% 1.75/1.98 ------------ end of proof -------------
% 1.75/1.98
% 1.75/1.98
% 1.75/1.98 Search stopped by max_proofs option.
% 1.75/1.98
% 1.75/1.98
% 1.75/1.98 Search stopped by max_proofs option.
% 1.75/1.98
% 1.75/1.98 ============ end of search ============
% 1.75/1.98
% 1.75/1.98 -------------- statistics -------------
% 1.75/1.98 clauses given 23
% 1.75/1.98 clauses generated 304
% 1.75/1.98 clauses kept 86
% 1.75/1.98 clauses forward subsumed 248
% 1.75/1.98 clauses back subsumed 45
% 1.75/1.98 Kbytes malloced 976
% 1.75/1.98
% 1.75/1.98 ----------- times (seconds) -----------
% 1.75/1.98 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.75/1.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.75/1.98 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.75/1.98
% 1.75/1.98 That finishes the proof of the theorem.
% 1.75/1.98
% 1.75/1.98 Process 32169 finished Wed Jul 27 03:27:38 2022
% 1.75/1.98 Otter interrupted
% 1.75/1.98 PROOF FOUND
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