TSTP Solution File: GRP134-1.003 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 12:56:31 EDT 2022
% Result : Unsatisfiable 2.66s 2.87s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of clauses : 60 ( 13 unt; 42 nHn; 60 RR)
% Number of literals : 152 ( 0 equ; 16 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ e_qualish(e_1,e_2),
file('GRP134-1.003.p',unknown),
[] ).
cnf(3,axiom,
~ e_qualish(e_2,e_1),
file('GRP134-1.003.p',unknown),
[] ).
cnf(5,axiom,
~ e_qualish(e_3,e_1),
file('GRP134-1.003.p',unknown),
[] ).
cnf(6,axiom,
~ e_qualish(e_3,e_2),
file('GRP134-1.003.p',unknown),
[] ).
cnf(7,axiom,
( ~ group_element(A)
| ~ group_element(B)
| product(A,B,e_1)
| product(A,B,e_2)
| product(A,B,e_3) ),
file('GRP134-1.003.p',unknown),
[] ).
cnf(8,axiom,
( ~ product(A,B,C)
| ~ product(A,B,D)
| e_qualish(C,D) ),
file('GRP134-1.003.p',unknown),
[] ).
cnf(9,axiom,
( ~ product(A,B,C)
| ~ product(A,D,C)
| e_qualish(B,D) ),
file('GRP134-1.003.p',unknown),
[] ).
cnf(10,axiom,
( ~ product(A,B,C)
| ~ product(D,B,C)
| e_qualish(A,D) ),
file('GRP134-1.003.p',unknown),
[] ).
cnf(11,axiom,
( ~ product(A,B,C)
| ~ product(B,A,D)
| product(C,D,B) ),
file('GRP134-1.003.p',unknown),
[] ).
cnf(12,plain,
( ~ group_element(A)
| product(A,A,e_1)
| product(A,A,e_2)
| product(A,A,e_3) ),
inference(factor,[status(thm)],[7]),
[iquote('factor,7.1.2')] ).
cnf(16,plain,
( ~ product(A,A,B)
| product(B,B,A) ),
inference(factor,[status(thm)],[11]),
[iquote('factor,11.1.2')] ).
cnf(17,axiom,
group_element(e_1),
file('GRP134-1.003.p',unknown),
[] ).
cnf(18,axiom,
group_element(e_2),
file('GRP134-1.003.p',unknown),
[] ).
cnf(19,axiom,
group_element(e_3),
file('GRP134-1.003.p',unknown),
[] ).
cnf(20,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(hyper,[status(thm)],[17,12]),
[iquote('hyper,17,12')] ).
cnf(21,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(hyper,[status(thm)],[18,12]),
[iquote('hyper,18,12')] ).
cnf(22,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(hyper,[status(thm)],[18,7,17]),
[iquote('hyper,18,7,17')] ).
cnf(23,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(hyper,[status(thm)],[18,7,17]),
[iquote('hyper,18,7,17')] ).
cnf(24,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(hyper,[status(thm)],[19,12]),
[iquote('hyper,19,12')] ).
cnf(30,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_2,e_2,e_1) ),
inference(hyper,[status(thm)],[20,16]),
[iquote('hyper,20,16')] ).
cnf(33,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_3,e_1) ),
inference(hyper,[status(thm)],[20,16]),
[iquote('hyper,20,16')] ).
cnf(36,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_1,e_2) ),
inference(hyper,[status(thm)],[21,16]),
[iquote('hyper,21,16')] ).
cnf(45,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[22,10,21]),3]),
[iquote('hyper,22,10,21,unit_del,3')] ).
cnf(50,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[22,9,20]),1]),
[iquote('hyper,22,9,20,unit_del,1')] ).
cnf(55,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[22,9,20]),1]),
[iquote('hyper,22,9,20,unit_del,1')] ).
cnf(59,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[23,11,22])]),
[iquote('hyper,23,11,22,factor_simp')] ).
cnf(64,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[23,9,21]),3]),
[iquote('hyper,23,9,21,unit_del,3')] ).
cnf(72,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[23,10,20]),1]),
[iquote('hyper,23,10,20,unit_del,1')] ).
cnf(83,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[23,10,20]),1]),
[iquote('hyper,23,10,20,unit_del,1')] ).
cnf(85,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_3) ),
inference(hyper,[status(thm)],[24,16]),
[iquote('hyper,24,16')] ).
cnf(230,plain,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_2)
| product(e_3,e_3,e_2) ),
inference(hyper,[status(thm)],[36,16]),
[iquote('hyper,36,16')] ).
cnf(262,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[45,9,36]),1])])]),
[iquote('hyper,45,9,36,unit_del,1,factor_simp,factor_simp')] ).
cnf(325,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[50,10,30]),3])])]),
[iquote('hyper,50,10,30,unit_del,3,factor_simp,factor_simp')] ).
cnf(371,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_1,e_3)
| product(e_2,e_2,e_3) ),
inference(hyper,[status(thm)],[85,16]),
[iquote('hyper,85,16')] ).
cnf(522,plain,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[230,8,33]),1])]),
[iquote('hyper,230,8,33,unit_del,1,factor_simp')] ).
cnf(565,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[262,10,22]),1])]),
[iquote('hyper,262,10,22,unit_del,1,factor_simp')] ).
cnf(583,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[64,10,36]),1])])]),
[iquote('hyper,64,10,36,unit_del,1,factor_simp,factor_simp')] ).
cnf(659,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[371,10,325]),1])]),
[iquote('hyper,371,10,325,unit_del,1,factor_simp')] ).
cnf(721,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[72,9,30]),3])])]),
[iquote('hyper,72,9,30,unit_del,3,factor_simp,factor_simp')] ).
cnf(844,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[522,10,55]),1])])]),
[iquote('hyper,522,10,55,unit_del,1,factor_simp,factor_simp')] ).
cnf(910,plain,
( product(e_2,e_2,e_3)
| product(e_1,e_2,e_1)
| product(e_3,e_3,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[565,9,371]),1])]),
[iquote('hyper,565,9,371,unit_del,1,factor_simp')] ).
cnf(916,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[565,9,59]),1])])]),
[iquote('hyper,565,9,59,unit_del,1,factor_simp,factor_simp')] ).
cnf(933,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[83,9,522]),3])])]),
[iquote('hyper,83,9,522,unit_del,3,factor_simp,factor_simp')] ).
cnf(1672,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[933,11,844])])])]),
[iquote('hyper,933,11,844,factor_simp,factor_simp,factor_simp')] ).
cnf(1749,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1672,8,721]),6])]),
[iquote('hyper,1672,8,721,unit_del,6,factor_simp')] ).
cnf(1750,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_3,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1672,8,659]),6])]),
[iquote('hyper,1672,8,659,unit_del,6,factor_simp')] ).
cnf(1752,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1672,8,325]),6])]),
[iquote('hyper,1672,8,325,unit_del,6,factor_simp')] ).
cnf(1803,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1749,10,23]),3])]),
[iquote('hyper,1749,10,23,unit_del,3,factor_simp')] ).
cnf(1849,plain,
( product(e_3,e_3,e_3)
| product(e_2,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1750,9,910]),3])]),
[iquote('hyper,1750,9,910,unit_del,3,factor_simp')] ).
cnf(1906,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1752,9,916]),3])]),
[iquote('hyper,1752,9,916,unit_del,3,factor_simp')] ).
cnf(1914,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1752,9,22]),3])]),
[iquote('hyper,1752,9,22,unit_del,3,factor_simp')] ).
cnf(1931,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1803,9,583]),3])]),
[iquote('hyper,1803,9,583,unit_del,3,factor_simp')] ).
cnf(1976,plain,
( product(e_3,e_3,e_3)
| product(e_2,e_1,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1849,9,1803]),1]),
[iquote('hyper,1849,9,1803,unit_del,1')] ).
cnf(2038,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1906,11,1803])]),
[iquote('hyper,1906,11,1803,factor_simp')] ).
cnf(2227,plain,
product(e_2,e_1,e_2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2038,8,1976]),5])]),
[iquote('hyper,2038,8,1976,unit_del,5,factor_simp')] ).
cnf(2239,plain,
product(e_2,e_2,e_3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2227,8,1931]),6]),
[iquote('hyper,2227,8,1931,unit_del,6')] ).
cnf(2242,plain,
product(e_1,e_2,e_2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2239,10,1914]),1]),
[iquote('hyper,2239,10,1914,unit_del,1')] ).
cnf(2247,plain,
product(e_2,e_2,e_1),
inference(hyper,[status(thm)],[2242,11,2227]),
[iquote('hyper,2242,11,2227')] ).
cnf(2252,plain,
e_qualish(e_3,e_1),
inference(hyper,[status(thm)],[2247,8,2239]),
[iquote('hyper,2247,8,2239')] ).
cnf(2253,plain,
$false,
inference(binary,[status(thm)],[2252,5]),
[iquote('binary,2252.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 04:42:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.66/2.87 ----- Otter 3.3f, August 2004 -----
% 2.66/2.87 The process was started by sandbox on n007.cluster.edu,
% 2.66/2.87 Wed Jul 27 04:42:31 2022
% 2.66/2.87 The command was "./otter". The process ID is 11114.
% 2.66/2.87
% 2.66/2.87 set(prolog_style_variables).
% 2.66/2.87 set(auto).
% 2.66/2.87 dependent: set(auto1).
% 2.66/2.87 dependent: set(process_input).
% 2.66/2.87 dependent: clear(print_kept).
% 2.66/2.87 dependent: clear(print_new_demod).
% 2.66/2.87 dependent: clear(print_back_demod).
% 2.66/2.87 dependent: clear(print_back_sub).
% 2.66/2.87 dependent: set(control_memory).
% 2.66/2.87 dependent: assign(max_mem, 12000).
% 2.66/2.87 dependent: assign(pick_given_ratio, 4).
% 2.66/2.87 dependent: assign(stats_level, 1).
% 2.66/2.87 dependent: assign(max_seconds, 10800).
% 2.66/2.87 clear(print_given).
% 2.66/2.87
% 2.66/2.87 list(usable).
% 2.66/2.87 0 [] group_element(e_1).
% 2.66/2.87 0 [] group_element(e_2).
% 2.66/2.87 0 [] group_element(e_3).
% 2.66/2.87 0 [] -e_qualish(e_1,e_2).
% 2.66/2.87 0 [] -e_qualish(e_1,e_3).
% 2.66/2.87 0 [] -e_qualish(e_2,e_1).
% 2.66/2.87 0 [] -e_qualish(e_2,e_3).
% 2.66/2.87 0 [] -e_qualish(e_3,e_1).
% 2.66/2.87 0 [] -e_qualish(e_3,e_2).
% 2.66/2.87 0 [] -group_element(X)| -group_element(Y)|product(X,Y,e_1)|product(X,Y,e_2)|product(X,Y,e_3).
% 2.66/2.87 0 [] -product(X,Y,W)| -product(X,Y,Z)|e_qualish(W,Z).
% 2.66/2.87 0 [] -product(X,W,Y)| -product(X,Z,Y)|e_qualish(W,Z).
% 2.66/2.87 0 [] -product(W,Y,X)| -product(Z,Y,X)|e_qualish(W,Z).
% 2.66/2.87 0 [] -product(X,Y,Z1)| -product(Y,X,Z2)|product(Z1,Z2,Y).
% 2.66/2.87 end_of_list.
% 2.66/2.87
% 2.66/2.87 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 2.66/2.87
% 2.66/2.87 This is a non-Horn set without equality. The strategy will
% 2.66/2.87 be ordered hyper_res, unit deletion, and factoring, with
% 2.66/2.87 satellites in sos and with nuclei in usable.
% 2.66/2.87
% 2.66/2.87 dependent: set(hyper_res).
% 2.66/2.87 dependent: set(factor).
% 2.66/2.87 dependent: set(unit_deletion).
% 2.66/2.87
% 2.66/2.87 ------------> process usable:
% 2.66/2.87 ** KEPT (pick-wt=3): 1 [] -e_qualish(e_1,e_2).
% 2.66/2.87 ** KEPT (pick-wt=3): 2 [] -e_qualish(e_1,e_3).
% 2.66/2.87 ** KEPT (pick-wt=3): 3 [] -e_qualish(e_2,e_1).
% 2.66/2.87 ** KEPT (pick-wt=3): 4 [] -e_qualish(e_2,e_3).
% 2.66/2.87 ** KEPT (pick-wt=3): 5 [] -e_qualish(e_3,e_1).
% 2.66/2.87 ** KEPT (pick-wt=3): 6 [] -e_qualish(e_3,e_2).
% 2.66/2.87 ** KEPT (pick-wt=16): 7 [] -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3).
% 2.66/2.87 ** KEPT (pick-wt=11): 8 [] -product(A,B,C)| -product(A,B,D)|e_qualish(C,D).
% 2.66/2.87 ** KEPT (pick-wt=11): 9 [] -product(A,B,C)| -product(A,D,C)|e_qualish(B,D).
% 2.66/2.87 ** KEPT (pick-wt=11): 10 [] -product(A,B,C)| -product(D,B,C)|e_qualish(A,D).
% 2.66/2.87 ** KEPT (pick-wt=12): 11 [] -product(A,B,C)| -product(B,A,D)|product(C,D,B).
% 2.66/2.87
% 2.66/2.87 ------------> process sos:
% 2.66/2.87 ** KEPT (pick-wt=2): 17 [] group_element(e_1).
% 2.66/2.87 ** KEPT (pick-wt=2): 18 [] group_element(e_2).
% 2.66/2.87 ** KEPT (pick-wt=2): 19 [] group_element(e_3).
% 2.66/2.87
% 2.66/2.87 ======= end of input processing =======
% 2.66/2.87
% 2.66/2.87 =========== start of search ===========
% 2.66/2.87
% 2.66/2.87 -------- PROOF --------
% 2.66/2.87
% 2.66/2.87 ----> UNIT CONFLICT at 1.04 sec ----> 2253 [binary,2252.1,5.1] $F.
% 2.66/2.87
% 2.66/2.87 Length of proof is 47. Level of proof is 15.
% 2.66/2.87
% 2.66/2.87 ---------------- PROOF ----------------
% 2.66/2.87 % SZS status Unsatisfiable
% 2.66/2.87 % SZS output start Refutation
% See solution above
% 2.66/2.87 ------------ end of proof -------------
% 2.66/2.87
% 2.66/2.87
% 2.66/2.87 Search stopped by max_proofs option.
% 2.66/2.87
% 2.66/2.87
% 2.66/2.87 Search stopped by max_proofs option.
% 2.66/2.87
% 2.66/2.87 ============ end of search ============
% 2.66/2.87
% 2.66/2.87 -------------- statistics -------------
% 2.66/2.87 clauses given 285
% 2.66/2.87 clauses generated 30912
% 2.66/2.87 clauses kept 2252
% 2.66/2.87 clauses forward subsumed 28674
% 2.66/2.87 clauses back subsumed 2128
% 2.66/2.87 Kbytes malloced 1953
% 2.66/2.87
% 2.66/2.87 ----------- times (seconds) -----------
% 2.66/2.87 user CPU time 1.04 (0 hr, 0 min, 1 sec)
% 2.66/2.87 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.66/2.87 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.66/2.87
% 2.66/2.87 That finishes the proof of the theorem.
% 2.66/2.87
% 2.66/2.87 Process 11114 finished Wed Jul 27 04:42:33 2022
% 2.66/2.87 Otter interrupted
% 2.66/2.87 PROOF FOUND
%------------------------------------------------------------------------------