TSTP Solution File: SYN548+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN548+1 : TPTP v8.1.0. Released v2.2.0.
% 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 13:24:52 EDT 2022
% Result : Theorem 32.85s 33.05s
% Output : Refutation 32.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 18
% Syntax : Number of clauses : 93 ( 21 unt; 60 nHn; 92 RR)
% Number of literals : 205 ( 0 equ; 43 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 3 ( 2 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 : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ reachable(A,B)
| ~ reachable(B,C)
| reachable(A,C) ),
file('SYN548+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ reachable(initial_world,A)
| reachable(A,dollar_f5(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ reachable(initial_world,A)
| ~ reachable(dollar_f5(A),B)
| p(B)
| ~ reachable(B,C)
| q(C)
| ~ reachable(dollar_f5(A),D)
| p(D)
| ~ reachable(dollar_f5(A),E)
| q(E) ),
file('SYN548+1.p',unknown),
[] ).
cnf(4,plain,
( ~ reachable(initial_world,A)
| ~ reachable(dollar_f5(A),B)
| p(B)
| ~ reachable(B,C)
| q(C)
| ~ reachable(dollar_f5(A),D)
| q(D) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[3])])]),
[iquote('copy,3,factor_simp,factor_simp')] ).
cnf(5,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f5(A),dollar_f2(A))
| reachable(dollar_f5(A),dollar_f3(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f5(A),dollar_f2(A))
| ~ p(dollar_f3(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f5(A),dollar_f2(A))
| reachable(dollar_f5(A),dollar_f4(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f5(A),dollar_f2(A))
| ~ q(dollar_f4(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ reachable(initial_world,A)
| ~ p(dollar_f2(A))
| reachable(dollar_f5(A),dollar_f3(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ reachable(initial_world,A)
| ~ p(dollar_f2(A))
| ~ p(dollar_f3(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f2(A),dollar_f1(A))
| reachable(dollar_f5(A),dollar_f3(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f2(A),dollar_f1(A))
| ~ p(dollar_f3(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f2(A),dollar_f1(A))
| reachable(dollar_f5(A),dollar_f4(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ reachable(initial_world,A)
| reachable(dollar_f2(A),dollar_f1(A))
| ~ q(dollar_f4(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ reachable(initial_world,A)
| ~ q(dollar_f1(A))
| reachable(dollar_f5(A),dollar_f3(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ reachable(initial_world,A)
| ~ q(dollar_f1(A))
| ~ p(dollar_f3(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ reachable(initial_world,A)
| ~ q(dollar_f1(A))
| reachable(dollar_f5(A),dollar_f4(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ reachable(initial_world,A)
| ~ q(dollar_f1(A))
| ~ q(dollar_f4(A)) ),
file('SYN548+1.p',unknown),
[] ).
cnf(25,plain,
( ~ reachable(initial_world,A)
| ~ reachable(dollar_f5(A),B)
| p(B)
| ~ reachable(B,C)
| q(C)
| ~ reachable(dollar_f5(A),C) ),
inference(factor,[status(thm)],[4]),
[iquote('factor,4.5.7')] ).
cnf(30,axiom,
reachable(A,A),
file('SYN548+1.p',unknown),
[] ).
cnf(33,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world)) ),
inference(hyper,[status(thm)],[30,13]),
[iquote('hyper,30,13')] ).
cnf(35,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f3(initial_world)) ),
inference(hyper,[status(thm)],[30,5]),
[iquote('hyper,30,5')] ).
cnf(36,plain,
reachable(initial_world,dollar_f5(initial_world)),
inference(hyper,[status(thm)],[30,2]),
[iquote('hyper,30,2')] ).
cnf(152,plain,
( reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| reachable(dollar_f5(initial_world),dollar_f1(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[35,1,33])]),
[iquote('hyper,35,1,33,factor_simp')] ).
cnf(464,plain,
( reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| p(dollar_f2(initial_world))
| q(dollar_f1(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[152,25,30,35,33])])]),
[iquote('hyper,152,25,30,35,33,factor_simp,factor_simp')] ).
cnf(1949,plain,
( reachable(dollar_f5(initial_world),dollar_f3(initial_world))
| p(dollar_f2(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[464,17,30])]),
[iquote('hyper,464,17,30,factor_simp')] ).
cnf(1952,plain,
reachable(dollar_f5(initial_world),dollar_f3(initial_world)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1949,9,30])]),
[iquote('hyper,1949,9,30,factor_simp')] ).
cnf(1955,plain,
reachable(initial_world,dollar_f3(initial_world)),
inference(hyper,[status(thm)],[1952,1,36]),
[iquote('hyper,1952,1,36')] ).
cnf(1957,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[1955,15]),
[iquote('hyper,1955,15')] ).
cnf(1959,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f2(dollar_f3(initial_world)))
| reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[1955,7]),
[iquote('hyper,1955,7')] ).
cnf(1961,plain,
reachable(dollar_f3(initial_world),dollar_f5(dollar_f3(initial_world))),
inference(hyper,[status(thm)],[1955,2]),
[iquote('hyper,1955,2')] ).
cnf(1973,plain,
reachable(dollar_f5(initial_world),dollar_f5(dollar_f3(initial_world))),
inference(hyper,[status(thm)],[1961,1,1952]),
[iquote('hyper,1961,1,1952')] ).
cnf(5736,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| reachable(dollar_f5(initial_world),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[1957,1,1973]),
[iquote('hyper,1957,1,1973')] ).
cnf(5738,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| reachable(dollar_f3(initial_world),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[1957,1,1961]),
[iquote('hyper,1957,1,1961')] ).
cnf(5740,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| p(dollar_f3(initial_world))
| q(dollar_f4(dollar_f3(initial_world))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5738,25,30,1952,5736])]),
[iquote('hyper,5738,25,30,1952,5736,factor_simp')] ).
cnf(5746,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world)))
| reachable(dollar_f5(initial_world),dollar_f2(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[1959,1,1973]),
[iquote('hyper,1959,1,1973')] ).
cnf(5748,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world)))
| reachable(dollar_f3(initial_world),dollar_f2(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[1959,1,1961]),
[iquote('hyper,1959,1,1961')] ).
cnf(5750,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f2(dollar_f3(initial_world)))
| reachable(dollar_f5(initial_world),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[1959,1,1973]),
[iquote('hyper,1959,1,1973')] ).
cnf(5752,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f2(dollar_f3(initial_world)))
| reachable(dollar_f3(initial_world),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[1959,1,1961]),
[iquote('hyper,1959,1,1961')] ).
cnf(5799,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world)))
| reachable(dollar_f5(initial_world),dollar_f1(dollar_f3(initial_world))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5746,1,1957])]),
[iquote('hyper,5746,1,1957,factor_simp')] ).
cnf(5822,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world)))
| reachable(dollar_f3(initial_world),dollar_f1(dollar_f3(initial_world))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5748,1,1957])]),
[iquote('hyper,5748,1,1957,factor_simp')] ).
cnf(5839,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f2(dollar_f3(initial_world)))
| p(dollar_f3(initial_world))
| q(dollar_f4(dollar_f3(initial_world))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5752,25,30,1952,5750])]),
[iquote('hyper,5752,25,30,1952,5750,factor_simp')] ).
cnf(5876,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world)))
| p(dollar_f3(initial_world))
| q(dollar_f1(dollar_f3(initial_world))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5822,25,30,1952,5799])]),
[iquote('hyper,5822,25,30,1952,5799,factor_simp')] ).
cnf(6371,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| p(dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5740,16,1955])]),
[iquote('hyper,5740,16,1955,factor_simp')] ).
cnf(6372,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| reachable(dollar_f2(initial_world),dollar_f1(initial_world)) ),
inference(hyper,[status(thm)],[6371,14,30]),
[iquote('hyper,6371,14,30')] ).
cnf(6373,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| reachable(dollar_f5(initial_world),dollar_f2(initial_world)) ),
inference(hyper,[status(thm)],[6371,6,30]),
[iquote('hyper,6371,6,30')] ).
cnf(6376,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| reachable(dollar_f5(initial_world),dollar_f1(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6373,1,6372])]),
[iquote('hyper,6373,1,6372,factor_simp')] ).
cnf(6381,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| p(dollar_f2(initial_world))
| q(dollar_f1(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6376,25,30,6373,6372])])]),
[iquote('hyper,6376,25,30,6373,6372,factor_simp,factor_simp')] ).
cnf(6390,plain,
( reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world)))
| p(dollar_f2(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6381,18,30,6371])]),
[iquote('hyper,6381,18,30,6371,factor_simp')] ).
cnf(6392,plain,
reachable(dollar_f2(dollar_f3(initial_world)),dollar_f1(dollar_f3(initial_world))),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6390,10,30,6371])]),
[iquote('hyper,6390,10,30,6371,factor_simp')] ).
cnf(6473,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f2(dollar_f3(initial_world)))
| p(dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5839,8,1955])]),
[iquote('hyper,5839,8,1955,factor_simp')] ).
cnf(6474,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f2(dollar_f3(initial_world)))
| reachable(dollar_f2(initial_world),dollar_f1(initial_world)) ),
inference(hyper,[status(thm)],[6473,14,30]),
[iquote('hyper,6473,14,30')] ).
cnf(6475,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f2(dollar_f3(initial_world)))
| reachable(dollar_f5(initial_world),dollar_f2(initial_world)) ),
inference(hyper,[status(thm)],[6473,6,30]),
[iquote('hyper,6473,6,30')] ).
cnf(6478,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f2(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6474,1,1973]),
[iquote('hyper,6474,1,1973')] ).
cnf(6480,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f3(initial_world),dollar_f2(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6474,1,1961]),
[iquote('hyper,6474,1,1961')] ).
cnf(6485,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f1(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6478,1,6392]),
[iquote('hyper,6478,1,6392')] ).
cnf(6487,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f3(initial_world),dollar_f1(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6480,1,6392]),
[iquote('hyper,6480,1,6392')] ).
cnf(6490,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| p(dollar_f3(initial_world))
| q(dollar_f1(dollar_f3(initial_world))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6487,25,30,1952,6485])]),
[iquote('hyper,6487,25,30,1952,6485,factor_simp')] ).
cnf(6493,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f2(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6475,1,1973]),
[iquote('hyper,6475,1,1973')] ).
cnf(6495,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f3(initial_world),dollar_f2(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6475,1,1961]),
[iquote('hyper,6475,1,1961')] ).
cnf(6550,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f1(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6493,1,6392]),
[iquote('hyper,6493,1,6392')] ).
cnf(6577,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f3(initial_world),dollar_f1(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6495,1,6392]),
[iquote('hyper,6495,1,6392')] ).
cnf(6631,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| p(dollar_f3(initial_world))
| q(dollar_f1(dollar_f3(initial_world))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6577,25,30,1952,6550])]),
[iquote('hyper,6577,25,30,1952,6550,factor_simp')] ).
cnf(6790,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world)))
| p(dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5876,19,1955])]),
[iquote('hyper,5876,19,1955,factor_simp')] ).
cnf(6791,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world)))
| reachable(dollar_f2(initial_world),dollar_f1(initial_world)) ),
inference(hyper,[status(thm)],[6790,14,30]),
[iquote('hyper,6790,14,30')] ).
cnf(6792,plain,
( reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world)))
| reachable(dollar_f5(initial_world),dollar_f2(initial_world)) ),
inference(hyper,[status(thm)],[6790,6,30]),
[iquote('hyper,6790,6,30')] ).
cnf(6793,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6791,1,1973]),
[iquote('hyper,6791,1,1973')] ).
cnf(6795,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| reachable(dollar_f3(initial_world),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6791,1,1961]),
[iquote('hyper,6791,1,1961')] ).
cnf(6796,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| p(dollar_f3(initial_world))
| q(dollar_f4(dollar_f3(initial_world))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6795,25,30,1952,6793])]),
[iquote('hyper,6795,25,30,1952,6793,factor_simp')] ).
cnf(6797,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f5(initial_world),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6792,1,1973]),
[iquote('hyper,6792,1,1973')] ).
cnf(6799,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| reachable(dollar_f3(initial_world),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[6792,1,1961]),
[iquote('hyper,6792,1,1961')] ).
cnf(6829,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| p(dollar_f3(initial_world))
| q(dollar_f4(dollar_f3(initial_world))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6799,25,30,1952,6797])]),
[iquote('hyper,6799,25,30,1952,6797,factor_simp')] ).
cnf(6979,plain,
( reachable(dollar_f2(initial_world),dollar_f1(initial_world))
| p(dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6796,20,1955,6490])])]),
[iquote('hyper,6796,20,1955,6490,factor_simp,factor_simp')] ).
cnf(6980,plain,
reachable(dollar_f2(initial_world),dollar_f1(initial_world)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6979,14,30])]),
[iquote('hyper,6979,14,30,factor_simp')] ).
cnf(6984,plain,
( reachable(dollar_f5(initial_world),dollar_f2(initial_world))
| p(dollar_f3(initial_world)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6829,20,1955,6631])])]),
[iquote('hyper,6829,20,1955,6631,factor_simp,factor_simp')] ).
cnf(6985,plain,
reachable(dollar_f5(initial_world),dollar_f2(initial_world)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6984,6,30])]),
[iquote('hyper,6984,6,30,factor_simp')] ).
cnf(7048,plain,
reachable(dollar_f5(initial_world),dollar_f1(initial_world)),
inference(hyper,[status(thm)],[6985,1,6980]),
[iquote('hyper,6985,1,6980')] ).
cnf(7053,plain,
( p(dollar_f2(initial_world))
| q(dollar_f1(initial_world)) ),
inference(hyper,[status(thm)],[7048,25,30,6985,6980]),
[iquote('hyper,7048,25,30,6985,6980')] ).
cnf(7090,plain,
( p(dollar_f2(initial_world))
| reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[7053,18,30,6790]),
[iquote('hyper,7053,18,30,6790')] ).
cnf(7091,plain,
( p(dollar_f2(initial_world))
| reachable(dollar_f5(dollar_f3(initial_world)),dollar_f2(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[7053,18,30,6473]),
[iquote('hyper,7053,18,30,6473')] ).
cnf(7100,plain,
reachable(dollar_f5(dollar_f3(initial_world)),dollar_f4(dollar_f3(initial_world))),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[7090,10,30,6790])]),
[iquote('hyper,7090,10,30,6790,factor_simp')] ).
cnf(7103,plain,
reachable(dollar_f5(initial_world),dollar_f4(dollar_f3(initial_world))),
inference(hyper,[status(thm)],[7100,1,1973]),
[iquote('hyper,7100,1,1973')] ).
cnf(7105,plain,
reachable(dollar_f3(initial_world),dollar_f4(dollar_f3(initial_world))),
inference(hyper,[status(thm)],[7100,1,1961]),
[iquote('hyper,7100,1,1961')] ).
cnf(7108,plain,
( p(dollar_f3(initial_world))
| q(dollar_f4(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[7105,25,30,1952,7103]),
[iquote('hyper,7105,25,30,1952,7103')] ).
cnf(7160,plain,
reachable(dollar_f5(dollar_f3(initial_world)),dollar_f2(dollar_f3(initial_world))),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[7091,10,30,6473])]),
[iquote('hyper,7091,10,30,6473,factor_simp')] ).
cnf(7163,plain,
reachable(dollar_f5(initial_world),dollar_f2(dollar_f3(initial_world))),
inference(hyper,[status(thm)],[7160,1,1973]),
[iquote('hyper,7160,1,1973')] ).
cnf(7165,plain,
reachable(dollar_f3(initial_world),dollar_f2(dollar_f3(initial_world))),
inference(hyper,[status(thm)],[7160,1,1961]),
[iquote('hyper,7160,1,1961')] ).
cnf(7177,plain,
reachable(dollar_f5(initial_world),dollar_f1(dollar_f3(initial_world))),
inference(hyper,[status(thm)],[7163,1,6392]),
[iquote('hyper,7163,1,6392')] ).
cnf(7179,plain,
reachable(dollar_f3(initial_world),dollar_f1(dollar_f3(initial_world))),
inference(hyper,[status(thm)],[7165,1,6392]),
[iquote('hyper,7165,1,6392')] ).
cnf(7182,plain,
( p(dollar_f3(initial_world))
| q(dollar_f1(dollar_f3(initial_world))) ),
inference(hyper,[status(thm)],[7179,25,30,1952,7177]),
[iquote('hyper,7179,25,30,1952,7177')] ).
cnf(7184,plain,
p(dollar_f3(initial_world)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[7182,20,1955,7108])]),
[iquote('hyper,7182,20,1955,7108,factor_simp')] ).
cnf(7185,plain,
p(dollar_f2(initial_world)),
inference(hyper,[status(thm)],[7184,18,30,7053]),
[iquote('hyper,7184,18,30,7053')] ).
cnf(7187,plain,
$false,
inference(hyper,[status(thm)],[7185,10,30,7184]),
[iquote('hyper,7185,10,30,7184')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN548+1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 10:57:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.66/1.88 ----- Otter 3.3f, August 2004 -----
% 1.66/1.88 The process was started by sandbox on n007.cluster.edu,
% 1.66/1.88 Wed Jul 27 10:57:46 2022
% 1.66/1.88 The command was "./otter". The process ID is 12585.
% 1.66/1.88
% 1.66/1.88 set(prolog_style_variables).
% 1.66/1.88 set(auto).
% 1.66/1.88 dependent: set(auto1).
% 1.66/1.88 dependent: set(process_input).
% 1.66/1.88 dependent: clear(print_kept).
% 1.66/1.88 dependent: clear(print_new_demod).
% 1.66/1.88 dependent: clear(print_back_demod).
% 1.66/1.88 dependent: clear(print_back_sub).
% 1.66/1.88 dependent: set(control_memory).
% 1.66/1.88 dependent: assign(max_mem, 12000).
% 1.66/1.88 dependent: assign(pick_given_ratio, 4).
% 1.66/1.88 dependent: assign(stats_level, 1).
% 1.66/1.88 dependent: assign(max_seconds, 10800).
% 1.66/1.88 clear(print_given).
% 1.66/1.88
% 1.66/1.88 formula_list(usable).
% 1.66/1.88 all X reachable(X,X).
% 1.66/1.88 all X Y Z (reachable(X,Y)&reachable(Y,Z)->reachable(X,Z)).
% 1.66/1.88 -(exists X (reachable(initial_world,X)& (all Y (reachable(X,Y)-> ((all Z (reachable(Y,Z)->p(Z)| (all V (reachable(Z,V)->q(V)))))<-> (all W (reachable(Y,W)->p(W)))| (all W (reachable(Y,W)->q(W)))))))).
% 1.66/1.88 end_of_list.
% 1.66/1.88
% 1.66/1.88 -------> usable clausifies to:
% 1.66/1.88
% 1.66/1.88 list(usable).
% 1.66/1.88 0 [] reachable(X,X).
% 1.66/1.88 0 [] -reachable(X,Y)| -reachable(Y,Z)|reachable(X,Z).
% 1.66/1.88 0 [] -reachable(initial_world,X)|reachable(X,$f5(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)| -reachable($f5(X),Z)|p(Z)| -reachable(Z,V)|q(V)| -reachable($f5(X),W)|p(W)| -reachable($f5(X),X1)|q(X1).
% 1.66/1.88 0 [] -reachable(initial_world,X)|reachable($f5(X),$f2(X))|reachable($f5(X),$f3(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)|reachable($f5(X),$f2(X))| -p($f3(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)|reachable($f5(X),$f2(X))|reachable($f5(X),$f4(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)|reachable($f5(X),$f2(X))| -q($f4(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)| -p($f2(X))|reachable($f5(X),$f3(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)| -p($f2(X))| -p($f3(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)| -p($f2(X))|reachable($f5(X),$f4(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)| -p($f2(X))| -q($f4(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)|reachable($f2(X),$f1(X))|reachable($f5(X),$f3(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)|reachable($f2(X),$f1(X))| -p($f3(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)|reachable($f2(X),$f1(X))|reachable($f5(X),$f4(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)|reachable($f2(X),$f1(X))| -q($f4(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)| -q($f1(X))|reachable($f5(X),$f3(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)| -q($f1(X))| -p($f3(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)| -q($f1(X))|reachable($f5(X),$f4(X)).
% 1.66/1.88 0 [] -reachable(initial_world,X)| -q($f1(X))| -q($f4(X)).
% 1.66/1.88 end_of_list.
% 1.66/1.88
% 1.66/1.88 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=9.
% 1.66/1.88
% 1.66/1.88 This is a non-Horn set without equality. The strategy will
% 1.66/1.88 be ordered hyper_res, unit deletion, and factoring, with
% 1.66/1.88 satellites in sos and with nuclei in usable.
% 1.66/1.88
% 1.66/1.88 dependent: set(hyper_res).
% 1.66/1.88 dependent: set(factor).
% 1.66/1.88 dependent: set(unit_deletion).
% 1.66/1.88
% 1.66/1.88 ------------> process usable:
% 1.66/1.88 ** KEPT (pick-wt=9): 1 [] -reachable(A,B)| -reachable(B,C)|reachable(A,C).
% 1.66/1.88 ** KEPT (pick-wt=7): 2 [] -reachable(initial_world,A)|reachable(A,$f5(A)).
% 1.66/1.88 ** KEPT (pick-wt=20): 4 [copy,3,factor_simp,factor_simp] -reachable(initial_world,A)| -reachable($f5(A),B)|p(B)| -reachable(B,C)|q(C)| -reachable($f5(A),D)|q(D).
% 1.66/1.88 ** KEPT (pick-wt=13): 5 [] -reachable(initial_world,A)|reachable($f5(A),$f2(A))|reachable($f5(A),$f3(A)).
% 1.66/1.88 ** KEPT (pick-wt=11): 6 [] -reachable(initial_world,A)|reachable($f5(A),$f2(A))| -p($f3(A)).
% 1.66/1.88 ** KEPT (pick-wt=13): 7 [] -reachable(initial_world,A)|reachable($f5(A),$f2(A))|reachable($f5(A),$f4(A)).
% 1.66/1.88 ** KEPT (pick-wt=11): 8 [] -reachable(initial_world,A)|reachable($f5(A),$f2(A))| -q($f4(A)).
% 1.66/1.88 ** KEPT (pick-wt=11): 9 [] -reachable(initial_world,A)| -p($f2(A))|reachable($f5(A),$f3(A)).
% 1.66/1.88 ** KEPT (pick-wt=9): 10 [] -reachable(initial_world,A)| -p($f2(A))| -p($f3(A)).
% 1.66/1.88 ** KEPT (pick-wt=11): 11 [] -reachable(initial_world,A)| -p($f2(A))|reachable($f5(A),$f4(A)).
% 1.66/1.88 ** KEPT (pick-wt=9): 12 [] -reachable(initial_world,A)| -p($f2(A))| -q($f4(A)).
% 1.66/1.88 ** KEPT (pick-wt=13): 13 [] -reachable(initial_world,A)|reachable($f2(A),$f1(A))|reachable($f5(A),$f3(A)).
% 1.66/1.88 ** KEPT (pick-wt=11): 14 [] -reachable(initial_world,A)|reachable($f2(A),$f1(A))| -p($f3(A)).
% 1.66/1.88 ** KEPT (pick-wt=13): 15 [] -reachable(initial_world,A)|reachable($f2(A),$f1(A))|reachable($f5(A),$f4(A)).
% 32.85/33.05 ** KEPT (pick-wt=11): 16 [] -reachable(initial_world,A)|reachable($f2(A),$f1(A))| -q($f4(A)).
% 32.85/33.05 ** KEPT (pick-wt=11): 17 [] -reachable(initial_world,A)| -q($f1(A))|reachable($f5(A),$f3(A)).
% 32.85/33.05 ** KEPT (pick-wt=9): 18 [] -reachable(initial_world,A)| -q($f1(A))| -p($f3(A)).
% 32.85/33.05 ** KEPT (pick-wt=11): 19 [] -reachable(initial_world,A)| -q($f1(A))|reachable($f5(A),$f4(A)).
% 32.85/33.05 ** KEPT (pick-wt=9): 20 [] -reachable(initial_world,A)| -q($f1(A))| -q($f4(A)).
% 32.85/33.05
% 32.85/33.05 ------------> process sos:
% 32.85/33.05 ** KEPT (pick-wt=3): 30 [] reachable(A,A).
% 32.85/33.05
% 32.85/33.05 ======= end of input processing =======
% 32.85/33.05
% 32.85/33.05 =========== start of search ===========
% 32.85/33.05
% 32.85/33.05
% 32.85/33.05 Resetting weight limit to 14.
% 32.85/33.05
% 32.85/33.05
% 32.85/33.05 Resetting weight limit to 14.
% 32.85/33.05
% 32.85/33.05 sos_size=1082
% 32.85/33.05
% 32.85/33.05
% 32.85/33.05 Resetting weight limit to 12.
% 32.85/33.05
% 32.85/33.05
% 32.85/33.05 Resetting weight limit to 12.
% 32.85/33.05
% 32.85/33.05 sos_size=1013
% 32.85/33.05
% 32.85/33.05
% 32.85/33.05 Resetting weight limit to 11.
% 32.85/33.05
% 32.85/33.05
% 32.85/33.05 Resetting weight limit to 11.
% 32.85/33.05
% 32.85/33.05 sos_size=770
% 32.85/33.05
% 32.85/33.05 -- HEY sandbox, WE HAVE A PROOF!! --
% 32.85/33.05
% 32.85/33.05 -----> EMPTY CLAUSE at 31.17 sec ----> 7187 [hyper,7185,10,30,7184] $F.
% 32.85/33.05
% 32.85/33.05 Length of proof is 74. Level of proof is 29.
% 32.85/33.05
% 32.85/33.05 ---------------- PROOF ----------------
% 32.85/33.05 % SZS status Theorem
% 32.85/33.05 % SZS output start Refutation
% See solution above
% 32.85/33.05 ------------ end of proof -------------
% 32.85/33.05
% 32.85/33.05
% 32.85/33.05 Search stopped by max_proofs option.
% 32.85/33.05
% 32.85/33.05
% 32.85/33.05 Search stopped by max_proofs option.
% 32.85/33.05
% 32.85/33.05 ============ end of search ============
% 32.85/33.05
% 32.85/33.05 -------------- statistics -------------
% 32.85/33.05 clauses given 2040
% 32.85/33.05 clauses generated 4177110
% 32.85/33.05 clauses kept 7185
% 32.85/33.05 clauses forward subsumed 81287
% 32.85/33.05 clauses back subsumed 5775
% 32.85/33.05 Kbytes malloced 5859
% 32.85/33.05
% 32.85/33.05 ----------- times (seconds) -----------
% 32.85/33.05 user CPU time 31.17 (0 hr, 0 min, 31 sec)
% 32.85/33.05 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 32.85/33.05 wall-clock time 33 (0 hr, 0 min, 33 sec)
% 32.85/33.05
% 32.85/33.05 That finishes the proof of the theorem.
% 32.85/33.05
% 32.85/33.05 Process 12585 finished Wed Jul 27 10:58:19 2022
% 32.85/33.05 Otter interrupted
% 32.85/33.05 PROOF FOUND
%------------------------------------------------------------------------------