%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE026+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:00:32 EDT 2022
% Result : Theorem 2.27s 2.43s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of clauses : 43 ( 34 unt; 0 nHn; 32 RR)
% Number of literals : 57 ( 32 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( le_q(A,B)
| addition(A,B) != B ),
file('KLE026+2.p',unknown),
[] ).
cnf(4,axiom,
( test(A)
| ~ complement(B,A) ),
file('KLE026+2.p',unknown),
[] ).
cnf(5,axiom,
( ~ complement(A,B)
| multiplication(B,A) = zero ),
file('KLE026+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ complement(A,B)
| multiplication(A,B) = zero ),
file('KLE026+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ complement(A,B)
| addition(B,A) = one ),
file('KLE026+2.p',unknown),
[] ).
cnf(8,axiom,
( complement(A,B)
| multiplication(B,A) != zero
| multiplication(A,B) != zero
| addition(B,A) != one ),
file('KLE026+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ test(A)
| c(A) != B
| complement(A,B) ),
file('KLE026+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ test(A)
| c(A) = B
| ~ complement(A,B) ),
file('KLE026+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ test(A)
| ~ test(B)
| c(multiplication(A,B)) = addition(c(A),c(B)) ),
file('KLE026+2.p',unknown),
[] ).
cnf(13,axiom,
~ le_q(multiplication(dollar_c2,dollar_c3),multiplication(dollar_c3,dollar_c1)),
file('KLE026+2.p',unknown),
[] ).
cnf(17,axiom,
A = A,
file('KLE026+2.p',unknown),
[] ).
cnf(18,axiom,
addition(A,B) = addition(B,A),
file('KLE026+2.p',unknown),
[] ).
cnf(22,axiom,
addition(A,zero) = A,
file('KLE026+2.p',unknown),
[] ).
cnf(26,axiom,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('KLE026+2.p',unknown),
[] ).
cnf(28,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[26])]),
[iquote('copy,26,flip.1')] ).
cnf(29,axiom,
multiplication(A,one) = A,
file('KLE026+2.p',unknown),
[] ).
cnf(32,axiom,
multiplication(one,A) = A,
file('KLE026+2.p',unknown),
[] ).
cnf(35,axiom,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('KLE026+2.p',unknown),
[] ).
cnf(38,axiom,
multiplication(A,zero) = zero,
file('KLE026+2.p',unknown),
[] ).
cnf(42,axiom,
test(dollar_c2),
file('KLE026+2.p',unknown),
[] ).
cnf(44,axiom,
multiplication(dollar_c2,dollar_c3) = multiplication(multiplication(dollar_c2,dollar_c3),dollar_c1),
file('KLE026+2.p',unknown),
[] ).
cnf(45,plain,
multiplication(dollar_c2,multiplication(dollar_c3,dollar_c1)) = multiplication(dollar_c2,dollar_c3),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[44]),28])]),
[iquote('copy,44,demod,28,flip.1')] ).
cnf(54,plain,
complement(dollar_c2,c(dollar_c2)),
inference(hyper,[status(thm)],[42,9,17]),
[iquote('hyper,42,9,17')] ).
cnf(70,plain,
addition(c(dollar_c2),dollar_c2) = one,
inference(hyper,[status(thm)],[54,7]),
[iquote('hyper,54,7')] ).
cnf(72,plain,
multiplication(dollar_c2,c(dollar_c2)) = zero,
inference(hyper,[status(thm)],[54,6]),
[iquote('hyper,54,6')] ).
cnf(75,plain,
multiplication(c(dollar_c2),dollar_c2) = zero,
inference(hyper,[status(thm)],[54,5]),
[iquote('hyper,54,5')] ).
cnf(76,plain,
test(c(dollar_c2)),
inference(hyper,[status(thm)],[54,4]),
[iquote('hyper,54,4')] ).
cnf(194,plain,
complement(zero,one),
inference(hyper,[status(thm)],[32,8,29,22]),
[iquote('hyper,31,8,29,22')] ).
cnf(196,plain,
test(one),
inference(hyper,[status(thm)],[194,4]),
[iquote('hyper,194,4')] ).
cnf(231,plain,
complement(one,c(one)),
inference(hyper,[status(thm)],[196,9,17]),
[iquote('hyper,196,9,17')] ).
cnf(243,plain,
c(one) = zero,
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[231,6]),32]),
[iquote('hyper,231,6,demod,32')] ).
cnf(244,plain,
test(zero),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[231,4]),243]),
[iquote('hyper,231,4,demod,243')] ).
cnf(268,plain,
addition(c(c(dollar_c2)),c(zero)) = c(zero),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[244,12,76]),38])]),
[iquote('hyper,244,12,76,demod,38,flip.1')] ).
cnf(301,plain,
c(zero) = one,
inference(hyper,[status(thm)],[244,10,194]),
[iquote('hyper,244,10,194')] ).
cnf(315,plain,
addition(c(c(dollar_c2)),one) = one,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[268]),301,301]),
[iquote('back_demod,268,demod,301,301')] ).
cnf(381,plain,
addition(dollar_c2,c(dollar_c2)) = one,
inference(para_into,[status(thm),theory(equality)],[70,18]),
[iquote('para_into,70.1.1,18.1.1')] ).
cnf(394,plain,
complement(c(dollar_c2),dollar_c2),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[72,8]),75,381]),17,17,17]),
[iquote('para_from,72.1.1,8.2.1,demod,75,381,unit_del,17,17,17')] ).
cnf(396,plain,
c(c(dollar_c2)) = dollar_c2,
inference(hyper,[status(thm)],[394,10,76]),
[iquote('hyper,394,10,76')] ).
cnf(401,plain,
addition(dollar_c2,one) = one,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[315]),396]),
[iquote('back_demod,315,demod,396')] ).
cnf(440,plain,
addition(multiplication(dollar_c2,A),A) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[401,35]),32,32])]),
[iquote('para_from,401.1.1,35.1.1.1,demod,32,32,flip.1')] ).
cnf(2388,plain,
le_q(multiplication(dollar_c2,A),A),
inference(hyper,[status(thm)],[440,2]),
[iquote('hyper,440,2')] ).
cnf(2389,plain,
le_q(multiplication(dollar_c2,dollar_c3),multiplication(dollar_c3,dollar_c1)),
inference(para_into,[status(thm),theory(equality)],[2388,45]),
[iquote('para_into,2388.1.1,45.1.1')] ).
cnf(2390,plain,
$false,
inference(binary,[status(thm)],[2389,13]),
[iquote('binary,2389.1,13.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE026+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 06:28:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.01/2.15 ----- Otter 3.3f, August 2004 -----
% 2.01/2.15 The process was started by sandbox2 on n013.cluster.edu,
% 2.01/2.15 Wed Jul 27 06:28:30 2022
% 2.01/2.15 The command was "./otter". The process ID is 32449.
% 2.01/2.15
% 2.01/2.15 set(prolog_style_variables).
% 2.01/2.15 set(auto).
% 2.01/2.15 dependent: set(auto1).
% 2.01/2.15 dependent: set(process_input).
% 2.01/2.15 dependent: clear(print_kept).
% 2.01/2.15 dependent: clear(print_new_demod).
% 2.01/2.15 dependent: clear(print_back_demod).
% 2.01/2.15 dependent: clear(print_back_sub).
% 2.01/2.15 dependent: set(control_memory).
% 2.01/2.15 dependent: assign(max_mem, 12000).
% 2.01/2.15 dependent: assign(pick_given_ratio, 4).
% 2.01/2.15 dependent: assign(stats_level, 1).
% 2.01/2.15 dependent: assign(max_seconds, 10800).
% 2.01/2.15 clear(print_given).
% 2.01/2.15
% 2.01/2.15 formula_list(usable).
% 2.01/2.15 all A (A=A).
% 2.01/2.15 all A B (addition(A,B)=addition(B,A)).
% 2.01/2.15 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 2.01/2.15 all A (addition(A,zero)=A).
% 2.01/2.15 all A (addition(A,A)=A).
% 2.01/2.15 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 2.01/2.15 all A (multiplication(A,one)=A).
% 2.01/2.15 all A (multiplication(one,A)=A).
% 2.01/2.15 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 2.01/2.15 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 2.01/2.15 all A (multiplication(A,zero)=zero).
% 2.01/2.15 all A (multiplication(zero,A)=zero).
% 2.01/2.15 all A B (le_q(A,B)<->addition(A,B)=B).
% 2.01/2.15 all X0 (test(X0)<-> (exists X1 complement(X1,X0))).
% 2.01/2.15 all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one).
% 2.01/2.15 all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))).
% 2.01/2.15 all X0 (-test(X0)->c(X0)=zero).
% 2.01/2.15 all X0 X1 (test(X0)&test(X1)->c(addition(X0,X1))=multiplication(c(X0),c(X1))).
% 2.01/2.15 all X0 X1 (test(X0)&test(X1)->c(multiplication(X0,X1))=addition(c(X0),c(X1))).
% 2.01/2.15 -(all X0 X1 X2 (test(X1)&test(X2)-> (multiplication(X1,X0)=multiplication(multiplication(X1,X0),X2)->le_q(multiplication(X1,X0),multiplication(X0,X2))))).
% 2.01/2.15 end_of_list.
% 2.01/2.15
% 2.01/2.15 -------> usable clausifies to:
% 2.01/2.15
% 2.01/2.15 list(usable).
% 2.01/2.15 0 [] A=A.
% 2.01/2.15 0 [] addition(A,B)=addition(B,A).
% 2.01/2.15 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 2.01/2.15 0 [] addition(A,zero)=A.
% 2.01/2.15 0 [] addition(A,A)=A.
% 2.01/2.15 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 2.01/2.15 0 [] multiplication(A,one)=A.
% 2.01/2.15 0 [] multiplication(one,A)=A.
% 2.01/2.15 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 2.01/2.15 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 2.01/2.15 0 [] multiplication(A,zero)=zero.
% 2.01/2.15 0 [] multiplication(zero,A)=zero.
% 2.01/2.15 0 [] -le_q(A,B)|addition(A,B)=B.
% 2.01/2.15 0 [] le_q(A,B)|addition(A,B)!=B.
% 2.01/2.15 0 [] -test(X0)|complement($f1(X0),X0).
% 2.01/2.15 0 [] test(X0)| -complement(X1,X0).
% 2.01/2.15 0 [] -complement(X1,X0)|multiplication(X0,X1)=zero.
% 2.01/2.15 0 [] -complement(X1,X0)|multiplication(X1,X0)=zero.
% 2.01/2.15 0 [] -complement(X1,X0)|addition(X0,X1)=one.
% 2.01/2.15 0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one.
% 2.01/2.15 0 [] -test(X0)|c(X0)!=X1|complement(X0,X1).
% 2.01/2.15 0 [] -test(X0)|c(X0)=X1| -complement(X0,X1).
% 2.01/2.15 0 [] test(X0)|c(X0)=zero.
% 2.01/2.15 0 [] -test(X0)| -test(X1)|c(addition(X0,X1))=multiplication(c(X0),c(X1)).
% 2.01/2.15 0 [] -test(X0)| -test(X1)|c(multiplication(X0,X1))=addition(c(X0),c(X1)).
% 2.01/2.15 0 [] test($c2).
% 2.01/2.15 0 [] test($c1).
% 2.01/2.15 0 [] multiplication($c2,$c3)=multiplication(multiplication($c2,$c3),$c1).
% 2.01/2.15 0 [] -le_q(multiplication($c2,$c3),multiplication($c3,$c1)).
% 2.01/2.15 end_of_list.
% 2.01/2.15
% 2.01/2.15 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 2.01/2.15
% 2.01/2.15 This ia a non-Horn set with equality. The strategy will be
% 2.01/2.15 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.01/2.15 deletion, with positive clauses in sos and nonpositive
% 2.01/2.15 clauses in usable.
% 2.01/2.15
% 2.01/2.15 dependent: set(knuth_bendix).
% 2.01/2.15 dependent: set(anl_eq).
% 2.01/2.15 dependent: set(para_from).
% 2.01/2.15 dependent: set(para_into).
% 2.01/2.15 dependent: clear(para_from_right).
% 2.01/2.15 dependent: clear(para_into_right).
% 2.01/2.15 dependent: set(para_from_vars).
% 2.01/2.15 dependent: set(eq_units_both_ways).
% 2.01/2.15 dependent: set(dynamic_demod_all).
% 2.01/2.15 dependent: set(dynamic_demod).
% 2.01/2.15 dependent: set(order_eq).
% 2.01/2.15 dependent: set(back_demod).
% 2.01/2.15 dependent: set(lrpo).
% 2.01/2.15 dependent: set(hyper_res).
% 2.01/2.15 dependent: set(unit_deletion).
% 2.01/2.15 dependent: set(factor).
% 2.01/2.15
% 2.01/2.15 ------------> process usable:
% 2.01/2.15 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 2.27/2.43 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 2.27/2.43 ** KEPT (pick-wt=6): 3 [] -test(A)|complement($f1(A),A).
% 2.27/2.43 ** KEPT (pick-wt=5): 4 [] test(A)| -complement(B,A).
% 2.27/2.43 ** KEPT (pick-wt=8): 5 [] -complement(A,B)|multiplication(B,A)=zero.
% 2.27/2.43 ** KEPT (pick-wt=8): 6 [] -complement(A,B)|multiplication(A,B)=zero.
% 2.27/2.43 ** KEPT (pick-wt=8): 7 [] -complement(A,B)|addition(B,A)=one.
% 2.27/2.43 ** KEPT (pick-wt=18): 8 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one.
% 2.27/2.43 ** KEPT (pick-wt=9): 9 [] -test(A)|c(A)!=B|complement(A,B).
% 2.27/2.43 ** KEPT (pick-wt=9): 10 [] -test(A)|c(A)=B| -complement(A,B).
% 2.27/2.43 ** KEPT (pick-wt=14): 11 [] -test(A)| -test(B)|c(addition(A,B))=multiplication(c(A),c(B)).
% 2.27/2.43 ** KEPT (pick-wt=14): 12 [] -test(A)| -test(B)|c(multiplication(A,B))=addition(c(A),c(B)).
% 2.27/2.43 ** KEPT (pick-wt=7): 13 [] -le_q(multiplication($c2,$c3),multiplication($c3,$c1)).
% 2.27/2.43
% 2.27/2.43 ------------> process sos:
% 2.27/2.43 ** KEPT (pick-wt=3): 17 [] A=A.
% 2.27/2.43 ** KEPT (pick-wt=7): 18 [] addition(A,B)=addition(B,A).
% 2.27/2.43 ** KEPT (pick-wt=11): 20 [copy,19,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 2.27/2.43 ---> New Demodulator: 21 [new_demod,20] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 2.27/2.43 ** KEPT (pick-wt=5): 22 [] addition(A,zero)=A.
% 2.27/2.43 ---> New Demodulator: 23 [new_demod,22] addition(A,zero)=A.
% 2.27/2.43 ** KEPT (pick-wt=5): 24 [] addition(A,A)=A.
% 2.27/2.43 ---> New Demodulator: 25 [new_demod,24] addition(A,A)=A.
% 2.27/2.43 ** KEPT (pick-wt=11): 27 [copy,26,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 2.27/2.43 ---> New Demodulator: 28 [new_demod,27] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 2.27/2.43 ** KEPT (pick-wt=5): 29 [] multiplication(A,one)=A.
% 2.27/2.43 ---> New Demodulator: 30 [new_demod,29] multiplication(A,one)=A.
% 2.27/2.43 ** KEPT (pick-wt=5): 31 [] multiplication(one,A)=A.
% 2.27/2.43 ---> New Demodulator: 32 [new_demod,31] multiplication(one,A)=A.
% 2.27/2.43 ** KEPT (pick-wt=13): 33 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 2.27/2.43 ---> New Demodulator: 34 [new_demod,33] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 2.27/2.43 ** KEPT (pick-wt=13): 35 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 2.27/2.43 ---> New Demodulator: 36 [new_demod,35] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 2.27/2.43 ** KEPT (pick-wt=5): 37 [] multiplication(A,zero)=zero.
% 2.27/2.43 ---> New Demodulator: 38 [new_demod,37] multiplication(A,zero)=zero.
% 2.27/2.43 ** KEPT (pick-wt=5): 39 [] multiplication(zero,A)=zero.
% 2.27/2.43 ---> New Demodulator: 40 [new_demod,39] multiplication(zero,A)=zero.
% 2.27/2.43 ** KEPT (pick-wt=6): 41 [] test(A)|c(A)=zero.
% 2.27/2.43 ** KEPT (pick-wt=2): 42 [] test($c2).
% 2.27/2.43 ** KEPT (pick-wt=2): 43 [] test($c1).
% 2.27/2.43 ** KEPT (pick-wt=9): 45 [copy,44,demod,28,flip.1] multiplication($c2,multiplication($c3,$c1))=multiplication($c2,$c3).
% 2.27/2.43 ---> New Demodulator: 46 [new_demod,45] multiplication($c2,multiplication($c3,$c1))=multiplication($c2,$c3).
% 2.27/2.43 Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] A=A.
% 2.27/2.43 Following clause subsumed by 18 during input processing: 0 [copy,18,flip.1] addition(A,B)=addition(B,A).
% 2.27/2.43 >>>> Starting back demodulation with 21.
% 2.27/2.43 >>>> Starting back demodulation with 23.
% 2.27/2.43 >>>> Starting back demodulation with 25.
% 2.27/2.43 >> back demodulating 16 with 25.
% 2.27/2.43 >> back demodulating 15 with 25.
% 2.27/2.43 >> back demodulating 14 with 25.
% 2.27/2.43 >>>> Starting back demodulation with 28.
% 2.27/2.43 >>>> Starting back demodulation with 30.
% 2.27/2.43 >>>> Starting back demodulation with 32.
% 2.27/2.43 >>>> Starting back demodulation with 34.
% 2.27/2.43 >>>> Starting back demodulation with 36.
% 2.27/2.43 >>>> Starting back demodulation with 38.
% 2.27/2.43 >>>> Starting back demodulation with 40.
% 2.27/2.43 >>>> Starting back demodulation with 46.
% 2.27/2.43
% 2.27/2.43 ======= end of input processing =======
% 2.27/2.43
% 2.27/2.43 =========== start of search ===========
% 2.27/2.43
% 2.27/2.43
% 2.27/2.43 Resetting weight limit to 7.
% 2.27/2.43
% 2.27/2.43
% 2.27/2.43 Resetting weight limit to 7.
% 2.27/2.43
% 2.27/2.43 sos_size=1594
% 2.27/2.43
% 2.27/2.43 -------- PROOF --------
% 2.27/2.43
% 2.27/2.43 ----> UNIT CONFLICT at 0.28 sec ----> 2390 [binary,2389.1,13.1] $F.
% 2.27/2.43
% 2.27/2.43 Length of proof is 22. Level of proof is 11.
% 2.27/2.43
% 2.27/2.43 ---------------- PROOF ----------------
% 2.27/2.43 % SZS status Theorem
% 2.27/2.43 % SZS output start Refutation
% See solution above
% 2.27/2.43 ------------ end of proof -------------
% 2.27/2.43
% 2.27/2.43
% 2.27/2.43 Search stopped by max_proofs option.
% 2.27/2.43
% 2.27/2.43
% 2.27/2.43 Search stopped by max_proofs option.
% 2.27/2.43
% 2.27/2.43 ============ end of search ============
% 2.27/2.43
% 2.27/2.43 -------------- statistics -------------
% 2.27/2.43 clauses given 253
% 2.27/2.43 clauses generated 9791
% 2.27/2.43 clauses kept 2096
% 2.27/2.43 clauses forward subsumed 4383
% 2.27/2.43 clauses back subsumed 254
% 2.27/2.43 Kbytes malloced 4882
% 2.27/2.43
% 2.27/2.43 ----------- times (seconds) -----------
% 2.27/2.43 user CPU time 0.28 (0 hr, 0 min, 0 sec)
% 2.27/2.43 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.27/2.43 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.27/2.43
% 2.27/2.43 That finishes the proof of the theorem.
% 2.27/2.43
% 2.27/2.43 Process 32449 finished Wed Jul 27 06:28:32 2022
% 2.27/2.43 Otter interrupted
% 2.27/2.43 PROOF FOUND
%------------------------------------------------------------------------------