%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 13:24:52 EDT 2022
% Result : Theorem 2.06s 2.27s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 57 ( 8 unt; 43 nHn; 56 RR)
% Number of literals : 180 ( 0 equ; 37 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ reachable(A,B)
| ~ reachable(B,C)
| reachable(A,C) ),
file('SYN549+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f5(A),dollar_f2(A))
| reachable(dollar_f5(A),dollar_f3(A))
| reachable(dollar_f5(A),dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f5(A),dollar_f2(A))
| reachable(dollar_f5(A),dollar_f3(A))
| q(dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f5(A),dollar_f2(A))
| p(dollar_f3(A))
| reachable(dollar_f5(A),dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f5(A),dollar_f2(A))
| p(dollar_f3(A))
| q(dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ reachable(initial_world,A)
| p(dollar_f2(A))
| reachable(dollar_f2(A),dollar_f1(A))
| reachable(dollar_f5(A),dollar_f3(A))
| reachable(dollar_f5(A),dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ reachable(initial_world,A)
| p(dollar_f2(A))
| reachable(dollar_f2(A),dollar_f1(A))
| reachable(dollar_f5(A),dollar_f3(A))
| q(dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ reachable(initial_world,A)
| p(dollar_f2(A))
| reachable(dollar_f2(A),dollar_f1(A))
| p(dollar_f3(A))
| reachable(dollar_f5(A),dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ reachable(initial_world,A)
| p(dollar_f2(A))
| reachable(dollar_f2(A),dollar_f1(A))
| p(dollar_f3(A))
| q(dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ reachable(initial_world,A)
| p(dollar_f2(A))
| q(dollar_f1(A))
| reachable(dollar_f5(A),dollar_f3(A))
| reachable(dollar_f5(A),dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ reachable(initial_world,A)
| p(dollar_f2(A))
| q(dollar_f1(A))
| reachable(dollar_f5(A),dollar_f3(A))
| q(dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ reachable(initial_world,A)
| p(dollar_f2(A))
| q(dollar_f1(A))
| p(dollar_f3(A))
| reachable(dollar_f5(A),dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ reachable(initial_world,A)
| p(dollar_f2(A))
| q(dollar_f1(A))
| p(dollar_f3(A))
| q(dollar_f4(A)) ),
file('SYN549+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ reachable(initial_world,A)
| ~ reachable(dollar_f5(A),B)
| ~ p(B)
| ~ reachable(dollar_f5(A),C)
| ~ p(C) ),
file('SYN549+1.p',unknown),
[] ).
cnf(16,plain,
( ~ reachable(initial_world,A)
| ~ reachable(dollar_f5(A),B)
| ~ p(B) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[15])])]),
[iquote('copy,15,factor_simp,factor_simp')] ).
cnf(17,axiom,
( ~ reachable(initial_world,A)
| ~ reachable(dollar_f5(A),B)
| ~ reachable(B,C)
| ~ q(C)
| ~ reachable(dollar_f5(A),D)
| ~ q(D) ),
file('SYN549+1.p',unknown),
[] ).
cnf(20,plain,
( ~ reachable(initial_world,A)
| ~ reachable(dollar_f5(A),B)
| ~ reachable(B,C)
| ~ q(C)
| ~ q(B) ),
inference(factor,[status(thm)],[17]),
[iquote('factor,17.2.5')] ).
cnf(25,plain,
( ~ reachable(initial_world,A)
| ~ reachable(dollar_f5(A),B)
| ~ reachable(B,B)
| ~ q(B) ),
inference(factor,[status(thm)],[20]),
[iquote('factor,20.4.5')] ).
cnf(27,axiom,
reachable(A,A),
file('SYN549+1.p',unknown),
[] ).
cnf(28,plain,
( p(dollar_f2(initial_world))
| q(dollar_f1(initial_world))
| p(dollar_f3(initial_world))
| q(dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,14]),
[iquote('hyper,27,14')] ).
cnf(29,plain,
( p(dollar_f2(initial_world))
| q(dollar_f1(initial_world))
| p(dollar_f3(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,13]),
[iquote('hyper,27,13')] ).
cnf(30,plain,
( p(dollar_f2(initial_world))
| q(dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| q(dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,12]),
[iquote('hyper,27,12')] ).
cnf(31,plain,
( p(dollar_f2(initial_world))
| q(dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,11]),
[iquote('hyper,27,11')] ).
cnf(32,plain,
( p(dollar_f2(initial_world))
| reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| p(dollar_f3(initial_world))
| q(dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,10]),
[iquote('hyper,27,10')] ).
cnf(33,plain,
( p(dollar_f2(initial_world))
| reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| p(dollar_f3(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,9]),
[iquote('hyper,27,9')] ).
cnf(34,plain,
( p(dollar_f2(initial_world))
| reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| q(dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,8]),
[iquote('hyper,27,8')] ).
cnf(35,plain,
( p(dollar_f2(initial_world))
| reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,7]),
[iquote('hyper,27,7')] ).
cnf(36,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| p(dollar_f3(initial_world))
| q(dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,6]),
[iquote('hyper,27,6')] ).
cnf(37,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| p(dollar_f3(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,5]),
[iquote('hyper,27,5')] ).
cnf(38,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| q(dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,4]),
[iquote('hyper,27,4')] ).
cnf(39,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[27,3]),
[iquote('hyper,27,3')] ).
cnf(136,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[39,16,27,37])])]),
[iquote('hyper,39,16,27,37,factor_simp,factor_simp')] ).
cnf(137,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[39,25,27,27,38])])]),
[iquote('hyper,39,25,27,27,38,factor_simp,factor_simp')] ).
cnf(138,plain,
( reachable(dollar_f5(initial_world),dollar_f4(initial_world))
| reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| p(dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[136,16,27,33])]),
[iquote('hyper,136,16,27,33,factor_simp')] ).
cnf(140,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| p(dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[136,25,27,27,36])]),
[iquote('hyper,136,25,27,27,36,factor_simp')] ).
cnf(142,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[35,16,27,136])]),
[iquote('hyper,35,16,27,136,factor_simp')] ).
cnf(201,plain,
reachable(dollar_f5(initial_world),dollar_f2(initial_world)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[137,16,27,140])]),
[iquote('hyper,137,16,27,140,factor_simp')] ).
cnf(303,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[142,16,27,138])])]),
[iquote('hyper,142,16,27,138,factor_simp,factor_simp')] ).
cnf(304,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| p(dollar_f2(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[142,25,27,27,34])])]),
[iquote('hyper,142,25,27,27,34,factor_simp,factor_simp')] ).
cnf(307,plain,
( reachable(dollar_f5(initial_world),dollar_f4(initial_world))
| reachable(dollar_f5(initial_world),dollar_f1(initial_world)) ),
inference(hyper,[status(thm)],[303,1,201]),
[iquote('hyper,303,1,201')] ).
cnf(308,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| p(dollar_f2(initial_world))
| p(dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[303,25,27,27,32])]),
[iquote('hyper,303,25,27,27,32,factor_simp')] ).
cnf(385,plain,
( reachable(dollar_f5(initial_world),dollar_f4(initial_world))
| p(dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[307,25,27,27,31])]),
[iquote('hyper,307,25,27,27,31,factor_simp')] ).
cnf(386,plain,
( reachable(dollar_f5(initial_world),dollar_f4(initial_world))
| p(dollar_f2(initial_world))
| p(dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[307,25,27,27,29])]),
[iquote('hyper,307,25,27,27,29,factor_simp')] ).
cnf(517,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| p(dollar_f3(initial_world)) ),
inference(hyper,[status(thm)],[308,16,27,201]),
[iquote('hyper,308,16,27,201')] ).
cnf(581,plain,
( reachable(dollar_f5(initial_world),dollar_f4(initial_world))
| p(dollar_f3(initial_world)) ),
inference(hyper,[status(thm)],[386,16,27,201]),
[iquote('hyper,386,16,27,201')] ).
cnf(941,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world)) ),
inference(hyper,[status(thm)],[304,16,27,201]),
[iquote('hyper,304,16,27,201')] ).
cnf(945,plain,
reachable(dollar_f2(initial_world),dollar_f1(initial_world)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[941,16,27,517])]),
[iquote('hyper,941,16,27,517,factor_simp')] ).
cnf(947,plain,
reachable(dollar_f5(initial_world),dollar_f1(initial_world)),
inference(hyper,[status(thm)],[945,1,201]),
[iquote('hyper,945,1,201')] ).
cnf(962,plain,
( p(dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| q(dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[947,25,27,27,30]),
[iquote('hyper,947,25,27,27,30')] ).
cnf(963,plain,
( p(dollar_f2(initial_world))
| p(dollar_f3(initial_world))
| q(dollar_f4(initial_world)) ),
inference(hyper,[status(thm)],[947,25,27,27,28]),
[iquote('hyper,947,25,27,27,28')] ).
cnf(1040,plain,
( reachable(dollar_f5(initial_world),dollar_f4(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world)) ),
inference(hyper,[status(thm)],[385,16,27,201]),
[iquote('hyper,385,16,27,201')] ).
cnf(1042,plain,
( reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| p(dollar_f2(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1040,25,27,27,962])]),
[iquote('hyper,1040,25,27,27,962,factor_simp')] ).
cnf(1044,plain,
reachable(dollar_f5(initial_world),dollar_f4(initial_world)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1040,16,27,581])]),
[iquote('hyper,1040,16,27,581,factor_simp')] ).
cnf(1045,plain,
( p(dollar_f2(initial_world))
| p(dollar_f3(initial_world)) ),
inference(hyper,[status(thm)],[1044,25,27,27,963]),
[iquote('hyper,1044,25,27,27,963')] ).
cnf(1060,plain,
p(dollar_f3(initial_world)),
inference(hyper,[status(thm)],[1045,16,27,201]),
[iquote('hyper,1045,16,27,201')] ).
cnf(1076,plain,
reachable(dollar_f5(initial_world),dollar_f3(initial_world)),
inference(hyper,[status(thm)],[1042,16,27,201]),
[iquote('hyper,1042,16,27,201')] ).
cnf(1077,plain,
$false,
inference(hyper,[status(thm)],[1076,16,27,1060]),
[iquote('hyper,1076,16,27,1060')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n015.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 11:20:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.93/2.10 ----- Otter 3.3f, August 2004 -----
% 1.93/2.10 The process was started by sandbox on n015.cluster.edu,
% 1.93/2.10 Wed Jul 27 11:20:27 2022
% 1.93/2.10 The command was "./otter". The process ID is 23914.
% 1.93/2.10
% 1.93/2.10 set(prolog_style_variables).
% 1.93/2.10 set(auto).
% 1.93/2.10 dependent: set(auto1).
% 1.93/2.10 dependent: set(process_input).
% 1.93/2.10 dependent: clear(print_kept).
% 1.93/2.10 dependent: clear(print_new_demod).
% 1.93/2.10 dependent: clear(print_back_demod).
% 1.93/2.10 dependent: clear(print_back_sub).
% 1.93/2.10 dependent: set(control_memory).
% 1.93/2.10 dependent: assign(max_mem, 12000).
% 1.93/2.10 dependent: assign(pick_given_ratio, 4).
% 1.93/2.10 dependent: assign(stats_level, 1).
% 1.93/2.10 dependent: assign(max_seconds, 10800).
% 1.93/2.10 clear(print_given).
% 1.93/2.10
% 1.93/2.10 formula_list(usable).
% 1.93/2.10 all X reachable(X,X).
% 1.93/2.10 all X Y Z (reachable(X,Y)&reachable(Y,Z)->reachable(X,Z)).
% 1.93/2.10 -(exists X (reachable(initial_world,X)& (all Y (reachable(X,Y)-> ((exists Z (reachable(Y,Z)& (p(Z)| (exists V (reachable(Z,V)&q(V))))))<-> (exists W (reachable(Y,W)&p(W)))| (exists W (reachable(Y,W)&q(W)))))))).
% 1.93/2.10 end_of_list.
% 1.93/2.10
% 1.93/2.10 -------> usable clausifies to:
% 1.93/2.10
% 1.93/2.10 list(usable).
% 1.93/2.10 0 [] reachable(X,X).
% 1.93/2.10 0 [] -reachable(X,Y)| -reachable(Y,Z)|reachable(X,Z).
% 1.93/2.10 0 [] -reachable(initial_world,X)|reachable(X,$f5(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|reachable($f5(X),$f2(X))|reachable($f5(X),$f3(X))|reachable($f5(X),$f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|reachable($f5(X),$f2(X))|reachable($f5(X),$f3(X))|q($f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|reachable($f5(X),$f2(X))|p($f3(X))|reachable($f5(X),$f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|reachable($f5(X),$f2(X))|p($f3(X))|q($f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|p($f2(X))|reachable($f2(X),$f1(X))|reachable($f5(X),$f3(X))|reachable($f5(X),$f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|p($f2(X))|reachable($f2(X),$f1(X))|reachable($f5(X),$f3(X))|q($f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|p($f2(X))|reachable($f2(X),$f1(X))|p($f3(X))|reachable($f5(X),$f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|p($f2(X))|reachable($f2(X),$f1(X))|p($f3(X))|q($f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|p($f2(X))|q($f1(X))|reachable($f5(X),$f3(X))|reachable($f5(X),$f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|p($f2(X))|q($f1(X))|reachable($f5(X),$f3(X))|q($f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|p($f2(X))|q($f1(X))|p($f3(X))|reachable($f5(X),$f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)|p($f2(X))|q($f1(X))|p($f3(X))|q($f4(X)).
% 1.93/2.10 0 [] -reachable(initial_world,X)| -reachable($f5(X),Z)| -p(Z)| -reachable($f5(X),W)| -p(W).
% 1.93/2.10 0 [] -reachable(initial_world,X)| -reachable($f5(X),Z)| -p(Z)| -reachable($f5(X),X1)| -q(X1).
% 1.93/2.10 0 [] -reachable(initial_world,X)| -reachable($f5(X),Z)| -reachable(Z,V)| -q(V)| -reachable($f5(X),W)| -p(W).
% 1.93/2.10 0 [] -reachable(initial_world,X)| -reachable($f5(X),Z)| -reachable(Z,V)| -q(V)| -reachable($f5(X),X1)| -q(X1).
% 1.93/2.10 end_of_list.
% 1.93/2.10
% 1.93/2.10 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.93/2.10
% 1.93/2.10 This is a non-Horn set without equality. The strategy will
% 1.93/2.10 be ordered hyper_res, unit deletion, and factoring, with
% 1.93/2.10 satellites in sos and with nuclei in usable.
% 1.93/2.10
% 1.93/2.10 dependent: set(hyper_res).
% 1.93/2.10 dependent: set(factor).
% 1.93/2.10 dependent: set(unit_deletion).
% 1.93/2.10
% 1.93/2.10 ------------> process usable:
% 1.93/2.10 ** KEPT (pick-wt=9): 1 [] -reachable(A,B)| -reachable(B,C)|reachable(A,C).
% 1.93/2.10 ** KEPT (pick-wt=7): 2 [] -reachable(initial_world,A)|reachable(A,$f5(A)).
% 1.93/2.10 ** KEPT (pick-wt=18): 3 [] -reachable(initial_world,A)|reachable($f5(A),$f2(A))|reachable($f5(A),$f3(A))|reachable($f5(A),$f4(A)).
% 1.93/2.10 ** KEPT (pick-wt=16): 4 [] -reachable(initial_world,A)|reachable($f5(A),$f2(A))|reachable($f5(A),$f3(A))|q($f4(A)).
% 1.93/2.10 ** KEPT (pick-wt=16): 5 [] -reachable(initial_world,A)|reachable($f5(A),$f2(A))|p($f3(A))|reachable($f5(A),$f4(A)).
% 1.93/2.10 ** KEPT (pick-wt=14): 6 [] -reachable(initial_world,A)|reachable($f5(A),$f2(A))|p($f3(A))|q($f4(A)).
% 1.93/2.10 ** KEPT (pick-wt=21): 7 [] -reachable(initial_world,A)|p($f2(A))|reachable($f2(A),$f1(A))|reachable($f5(A),$f3(A))|reachable($f5(A),$f4(A)).
% 1.93/2.10 ** KEPT (pick-wt=19): 8 [] -reachable(initial_world,A)|p($f2(A))|reachable($f2(A),$f1(A))|reachable($f5(A),$f3(A))|q($f4(A)).
% 1.93/2.10 ** KEPT (pick-wt=19): 9 [] -reachable(initial_world,A)|p($f2(A))|reachable($f2(A),$f1(A))|p($f3(A))|reachable($f5(A),$f4(A)).
% 1.93/2.10 ** KEPT (pick-wt=17): 10 [] -reachable(initial_world,A)|p($f2(A))|reachable($f2(A),$f1(A))|p($f3(A))|q($f4(A)).
% 2.06/2.27 ** KEPT (pick-wt=19): 11 [] -reachable(initial_world,A)|p($f2(A))|q($f1(A))|reachable($f5(A),$f3(A))|reachable($f5(A),$f4(A)).
% 2.06/2.27 ** KEPT (pick-wt=17): 12 [] -reachable(initial_world,A)|p($f2(A))|q($f1(A))|reachable($f5(A),$f3(A))|q($f4(A)).
% 2.06/2.27 ** KEPT (pick-wt=17): 13 [] -reachable(initial_world,A)|p($f2(A))|q($f1(A))|p($f3(A))|reachable($f5(A),$f4(A)).
% 2.06/2.27 ** KEPT (pick-wt=15): 14 [] -reachable(initial_world,A)|p($f2(A))|q($f1(A))|p($f3(A))|q($f4(A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 16 [copy,15,factor_simp,factor_simp] -reachable(initial_world,A)| -reachable($f5(A),B)| -p(B).
% 2.06/2.27 Following clause subsumed by 16 during input processing: 0 [] -reachable(initial_world,A)| -reachable($f5(A),B)| -p(B)| -reachable($f5(A),C)| -q(C).
% 2.06/2.27 Following clause subsumed by 16 during input processing: 0 [] -reachable(initial_world,A)| -reachable($f5(A),B)| -reachable(B,C)| -q(C)| -reachable($f5(A),D)| -p(D).
% 2.06/2.27 ** KEPT (pick-wt=18): 17 [] -reachable(initial_world,A)| -reachable($f5(A),B)| -reachable(B,C)| -q(C)| -reachable($f5(A),D)| -q(D).
% 2.06/2.27
% 2.06/2.27 ------------> process sos:
% 2.06/2.27 ** KEPT (pick-wt=3): 27 [] reachable(A,A).
% 2.06/2.27
% 2.06/2.27 ======= end of input processing =======
% 2.06/2.27
% 2.06/2.27 =========== start of search ===========
% 2.06/2.27
% 2.06/2.27 -------- PROOF --------
% 2.06/2.27
% 2.06/2.27 -----> EMPTY CLAUSE at 0.18 sec ----> 1077 [hyper,1076,16,27,1060] $F.
% 2.06/2.27
% 2.06/2.27 Length of proof is 40. Level of proof is 11.
% 2.06/2.27
% 2.06/2.27 ---------------- PROOF ----------------
% 2.06/2.27 % SZS status Theorem
% 2.06/2.27 % SZS output start Refutation
% See solution above
% 2.06/2.28 ------------ end of proof -------------
% 2.06/2.28
% 2.06/2.28
% 2.06/2.28 Search stopped by max_proofs option.
% 2.06/2.28
% 2.06/2.28
% 2.06/2.28 Search stopped by max_proofs option.
% 2.06/2.28
% 2.06/2.28 ============ end of search ============
% 2.06/2.28
% 2.06/2.28 -------------- statistics -------------
% 2.06/2.28 clauses given 193
% 2.06/2.28 clauses generated 5753
% 2.06/2.28 clauses kept 1075
% 2.06/2.28 clauses forward subsumed 4695
% 2.06/2.28 clauses back subsumed 734
% 2.06/2.28 Kbytes malloced 1953
% 2.06/2.28
% 2.06/2.28 ----------- times (seconds) -----------
% 2.06/2.28 user CPU time 0.18 (0 hr, 0 min, 0 sec)
% 2.06/2.28 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.06/2.28 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 2.06/2.28
% 2.06/2.28 That finishes the proof of the theorem.
% 2.06/2.28
% 2.06/2.28 Process 23914 finished Wed Jul 27 11:20:28 2022
% 2.06/2.28 Otter interrupted
% 2.06/2.28 PROOF FOUND
%------------------------------------------------------------------------------