TSTP Solution File: GRP133-1.003 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP133-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 12:56:30 EDT 2022
% Result : Unsatisfiable 2.92s 3.12s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of clauses : 64 ( 16 unt; 43 nHn; 64 RR)
% Number of literals : 156 ( 0 equ; 18 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('GRP133-1.003.p',unknown),
[] ).
cnf(2,axiom,
~ e_qualish(e_1,e_3),
file('GRP133-1.003.p',unknown),
[] ).
cnf(3,axiom,
~ e_qualish(e_2,e_1),
file('GRP133-1.003.p',unknown),
[] ).
cnf(4,axiom,
~ e_qualish(e_2,e_3),
file('GRP133-1.003.p',unknown),
[] ).
cnf(5,axiom,
~ e_qualish(e_3,e_1),
file('GRP133-1.003.p',unknown),
[] ).
cnf(6,axiom,
~ e_qualish(e_3,e_2),
file('GRP133-1.003.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('GRP133-1.003.p',unknown),
[] ).
cnf(8,axiom,
( ~ product(A,B,C)
| ~ product(A,B,D)
| e_qualish(C,D) ),
file('GRP133-1.003.p',unknown),
[] ).
cnf(9,axiom,
( ~ product(A,B,C)
| ~ product(A,D,C)
| e_qualish(B,D) ),
file('GRP133-1.003.p',unknown),
[] ).
cnf(10,axiom,
( ~ product(A,B,C)
| ~ product(D,B,C)
| e_qualish(A,D) ),
file('GRP133-1.003.p',unknown),
[] ).
cnf(11,axiom,
( ~ product(A,B,C)
| ~ product(B,A,D)
| product(C,D,A) ),
file('GRP133-1.003.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('GRP133-1.003.p',unknown),
[] ).
cnf(18,axiom,
group_element(e_2),
file('GRP133-1.003.p',unknown),
[] ).
cnf(19,axiom,
group_element(e_3),
file('GRP133-1.003.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(26,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(hyper,[status(thm)],[19,7,17]),
[iquote('hyper,19,7,17')] ).
cnf(28,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(hyper,[status(thm)],[19,7,17]),
[iquote('hyper,19,7,17')] ).
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(40,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,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(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(63,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(81,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(83,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(193,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference(hyper,[status(thm)],[30,16]),
[iquote('hyper,30,16')] ).
cnf(224,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(256,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(365,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)],[83,16]),
[iquote('hyper,83,16')] ).
cnf(496,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[193,8,40]),3])]),
[iquote('hyper,193,8,40,unit_del,3,factor_simp')] ).
cnf(517,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)],[224,8,33]),1])]),
[iquote('hyper,224,8,33,unit_del,1,factor_simp')] ).
cnf(561,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)],[256,10,22]),1])]),
[iquote('hyper,256,10,22,unit_del,1,factor_simp')] ).
cnf(578,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)],[63,10,36]),1])])]),
[iquote('hyper,63,10,36,unit_del,1,factor_simp,factor_simp')] ).
cnf(650,plain,
( product(e_3,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[365,9,256]),3])]),
[iquote('hyper,365,9,256,unit_del,3,factor_simp')] ).
cnf(765,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[496,8,256]),5])]),
[iquote('hyper,496,8,256,unit_del,5,factor_simp')] ).
cnf(827,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)],[517,10,55]),1])])]),
[iquote('hyper,517,10,55,unit_del,1,factor_simp,factor_simp')] ).
cnf(883,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_1)
| product(e_3,e_3,e_2) ),
inference(hyper,[status(thm)],[561,16]),
[iquote('hyper,561,16')] ).
cnf(987,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_3,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[578,11,256])])]),
[iquote('hyper,578,11,256,factor_simp,factor_simp')] ).
cnf(996,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[578,9,23]),1])]),
[iquote('hyper,578,9,23,unit_del,1,factor_simp')] ).
cnf(1068,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)],[81,9,517]),3])])]),
[iquote('hyper,81,9,517,unit_del,3,factor_simp,factor_simp')] ).
cnf(1564,plain,
( 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)],[987,8,650]),5])])]),
[iquote('hyper,987,8,650,unit_del,5,factor_simp,factor_simp')] ).
cnf(1582,plain,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1564,10,765]),1])]),
[iquote('hyper,1564,10,765,unit_del,1,factor_simp')] ).
cnf(1686,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1582,8,30]),1])]),
[iquote('hyper,1582,8,30,unit_del,1,factor_simp')] ).
cnf(1785,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1686,8,827]),4])]),
[iquote('hyper,1686,8,827,unit_del,4,factor_simp')] ).
cnf(1962,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(hyper,[status(thm)],[1068,11,1785])])]),
[iquote('hyper,1068,11,1785,factor_simp,factor_simp')] ).
cnf(2032,plain,
product(e_1,e_1,e_1),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1962,8,1686]),6])]),
[iquote('hyper,1962,8,1686,unit_del,6,factor_simp')] ).
cnf(2046,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2032,10,996]),3]),
[iquote('hyper,2032,10,996,unit_del,3')] ).
cnf(2048,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2032,10,28]),5]),
[iquote('hyper,2032,10,28,unit_del,5')] ).
cnf(2050,plain,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2032,9,883]),3]),
[iquote('hyper,2032,9,883,unit_del,3')] ).
cnf(2055,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2032,9,26]),5]),
[iquote('hyper,2032,9,26,unit_del,5')] ).
cnf(2061,plain,
( product(e_2,e_1,e_3)
| product(e_3,e_3,e_2) ),
inference(hyper,[status(thm)],[2046,16]),
[iquote('hyper,2046,16')] ).
cnf(2227,plain,
product(e_3,e_3,e_2),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2061,11,2050])])]),
[iquote('hyper,2061,11,2050,factor_simp,factor_simp')] ).
cnf(2235,plain,
product(e_1,e_3,e_3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2227,10,2055]),2]),
[iquote('hyper,2227,10,2055,unit_del,2')] ).
cnf(2237,plain,
product(e_3,e_1,e_3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2227,9,2048]),2]),
[iquote('hyper,2227,9,2048,unit_del,2')] ).
cnf(2252,plain,
product(e_3,e_3,e_1),
inference(hyper,[status(thm)],[2237,11,2235]),
[iquote('hyper,2237,11,2235')] ).
cnf(2259,plain,
e_qualish(e_2,e_1),
inference(hyper,[status(thm)],[2252,8,2227]),
[iquote('hyper,2252,8,2227')] ).
cnf(2260,plain,
$false,
inference(binary,[status(thm)],[2259,3]),
[iquote('binary,2259.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP133-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n026.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 05:45:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.92/3.12 ----- Otter 3.3f, August 2004 -----
% 2.92/3.12 The process was started by sandbox2 on n026.cluster.edu,
% 2.92/3.12 Wed Jul 27 05:45:09 2022
% 2.92/3.12 The command was "./otter". The process ID is 2803.
% 2.92/3.12
% 2.92/3.12 set(prolog_style_variables).
% 2.92/3.12 set(auto).
% 2.92/3.12 dependent: set(auto1).
% 2.92/3.12 dependent: set(process_input).
% 2.92/3.12 dependent: clear(print_kept).
% 2.92/3.12 dependent: clear(print_new_demod).
% 2.92/3.12 dependent: clear(print_back_demod).
% 2.92/3.12 dependent: clear(print_back_sub).
% 2.92/3.12 dependent: set(control_memory).
% 2.92/3.12 dependent: assign(max_mem, 12000).
% 2.92/3.12 dependent: assign(pick_given_ratio, 4).
% 2.92/3.12 dependent: assign(stats_level, 1).
% 2.92/3.12 dependent: assign(max_seconds, 10800).
% 2.92/3.12 clear(print_given).
% 2.92/3.12
% 2.92/3.12 list(usable).
% 2.92/3.12 0 [] group_element(e_1).
% 2.92/3.12 0 [] group_element(e_2).
% 2.92/3.12 0 [] group_element(e_3).
% 2.92/3.12 0 [] -e_qualish(e_1,e_2).
% 2.92/3.12 0 [] -e_qualish(e_1,e_3).
% 2.92/3.12 0 [] -e_qualish(e_2,e_1).
% 2.92/3.12 0 [] -e_qualish(e_2,e_3).
% 2.92/3.12 0 [] -e_qualish(e_3,e_1).
% 2.92/3.12 0 [] -e_qualish(e_3,e_2).
% 2.92/3.12 0 [] -group_element(X)| -group_element(Y)|product(X,Y,e_1)|product(X,Y,e_2)|product(X,Y,e_3).
% 2.92/3.12 0 [] -product(X,Y,W)| -product(X,Y,Z)|e_qualish(W,Z).
% 2.92/3.12 0 [] -product(X,W,Y)| -product(X,Z,Y)|e_qualish(W,Z).
% 2.92/3.12 0 [] -product(W,Y,X)| -product(Z,Y,X)|e_qualish(W,Z).
% 2.92/3.12 0 [] -product(X,Y,Z1)| -product(Y,X,Z2)|product(Z1,Z2,X).
% 2.92/3.12 end_of_list.
% 2.92/3.12
% 2.92/3.12 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 2.92/3.12
% 2.92/3.12 This is a non-Horn set without equality. The strategy will
% 2.92/3.12 be ordered hyper_res, unit deletion, and factoring, with
% 2.92/3.12 satellites in sos and with nuclei in usable.
% 2.92/3.12
% 2.92/3.12 dependent: set(hyper_res).
% 2.92/3.12 dependent: set(factor).
% 2.92/3.12 dependent: set(unit_deletion).
% 2.92/3.12
% 2.92/3.12 ------------> process usable:
% 2.92/3.12 ** KEPT (pick-wt=3): 1 [] -e_qualish(e_1,e_2).
% 2.92/3.12 ** KEPT (pick-wt=3): 2 [] -e_qualish(e_1,e_3).
% 2.92/3.12 ** KEPT (pick-wt=3): 3 [] -e_qualish(e_2,e_1).
% 2.92/3.12 ** KEPT (pick-wt=3): 4 [] -e_qualish(e_2,e_3).
% 2.92/3.12 ** KEPT (pick-wt=3): 5 [] -e_qualish(e_3,e_1).
% 2.92/3.12 ** KEPT (pick-wt=3): 6 [] -e_qualish(e_3,e_2).
% 2.92/3.12 ** 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).
% 2.92/3.12 ** KEPT (pick-wt=11): 8 [] -product(A,B,C)| -product(A,B,D)|e_qualish(C,D).
% 2.92/3.12 ** KEPT (pick-wt=11): 9 [] -product(A,B,C)| -product(A,D,C)|e_qualish(B,D).
% 2.92/3.12 ** KEPT (pick-wt=11): 10 [] -product(A,B,C)| -product(D,B,C)|e_qualish(A,D).
% 2.92/3.12 ** KEPT (pick-wt=12): 11 [] -product(A,B,C)| -product(B,A,D)|product(C,D,A).
% 2.92/3.12
% 2.92/3.12 ------------> process sos:
% 2.92/3.12 ** KEPT (pick-wt=2): 17 [] group_element(e_1).
% 2.92/3.12 ** KEPT (pick-wt=2): 18 [] group_element(e_2).
% 2.92/3.12 ** KEPT (pick-wt=2): 19 [] group_element(e_3).
% 2.92/3.12
% 2.92/3.12 ======= end of input processing =======
% 2.92/3.12
% 2.92/3.12 =========== start of search ===========
% 2.92/3.12
% 2.92/3.12 -------- PROOF --------
% 2.92/3.12
% 2.92/3.12 ----> UNIT CONFLICT at 1.05 sec ----> 2260 [binary,2259.1,3.1] $F.
% 2.92/3.12
% 2.92/3.12 Length of proof is 49. Level of proof is 17.
% 2.92/3.12
% 2.92/3.12 ---------------- PROOF ----------------
% 2.92/3.12 % SZS status Unsatisfiable
% 2.92/3.12 % SZS output start Refutation
% See solution above
% 2.92/3.12 ------------ end of proof -------------
% 2.92/3.12
% 2.92/3.12
% 2.92/3.12 Search stopped by max_proofs option.
% 2.92/3.12
% 2.92/3.12
% 2.92/3.12 Search stopped by max_proofs option.
% 2.92/3.12
% 2.92/3.12 ============ end of search ============
% 2.92/3.12
% 2.92/3.12 -------------- statistics -------------
% 2.92/3.12 clauses given 305
% 2.92/3.12 clauses generated 31424
% 2.92/3.12 clauses kept 2259
% 2.92/3.12 clauses forward subsumed 29179
% 2.92/3.12 clauses back subsumed 2184
% 2.92/3.12 Kbytes malloced 1953
% 2.92/3.12
% 2.92/3.12 ----------- times (seconds) -----------
% 2.92/3.12 user CPU time 1.05 (0 hr, 0 min, 1 sec)
% 2.92/3.12 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.92/3.12 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.92/3.12
% 2.92/3.12 That finishes the proof of the theorem.
% 2.92/3.12
% 2.92/3.12 Process 2803 finished Wed Jul 27 05:45:12 2022
% 2.92/3.12 Otter interrupted
% 2.92/3.12 PROOF FOUND
%------------------------------------------------------------------------------