TSTP Solution File: PUZ047-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ047-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 : 600s
% DateTime : Mon Jul 18 18:20:53 EDT 2022
% Result : Unsatisfiable 0.61s 0.80s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 13 unt; 0 nHn; 29 RR)
% Number of literals : 45 ( 0 equ; 18 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm100_1,negated_conjecture,
p(south,south,south,south,start) ).
cnf(thm100_3,negated_conjecture,
( p(south,north,south,north,go_alone(A))
| ~ p(north,north,south,north,A) ) ).
cnf(thm100_5,negated_conjecture,
( p(south,south,north,south,go_alone(A))
| ~ p(north,south,north,south,A) ) ).
cnf(thm100_6,negated_conjecture,
( p(north,north,south,north,take_wolf(A))
| ~ p(south,south,south,north,A) ) ).
cnf(thm100_10,negated_conjecture,
( p(north,A,north,B,take_goat(C))
| ~ p(south,A,south,B,C) ) ).
cnf(thm100_11,negated_conjecture,
( p(south,A,south,B,take_goat(C))
| ~ p(north,A,north,B,C) ) ).
cnf(thm100_14,negated_conjecture,
( p(north,south,north,north,take_cabbage(A))
| ~ p(south,south,north,south,A) ) ).
cnf(thm100_15,negated_conjecture,
( p(south,south,north,south,take_cabbage(A))
| ~ p(north,south,north,north,A) ) ).
cnf(thm100_16,negated_conjecture,
~ p(north,north,north,north,A) ).
cnf(refute_0_0,plain,
( ~ p(south,north,south,north,go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))))
| p(north,north,north,north,take_goat(go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))))) ),
inference(subst,[],[thm100_10:[bind(A,$fot(north)),bind(B,$fot(north)),bind(C,$fot(go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))))))]]) ).
cnf(refute_0_1,plain,
( ~ p(north,north,south,north,take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))))
| p(south,north,south,north,go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))))) ),
inference(subst,[],[thm100_3:[bind(A,$fot(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))))]]) ).
cnf(refute_0_2,plain,
( ~ p(south,south,south,north,take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))
| p(north,north,south,north,take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))) ),
inference(subst,[],[thm100_6:[bind(A,$fot(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))))]]) ).
cnf(refute_0_3,plain,
( ~ p(south,south,north,south,take_cabbage(take_cabbage(go_alone(take_goat(start)))))
| p(north,south,north,north,take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))) ),
inference(subst,[],[thm100_14:[bind(A,$fot(take_cabbage(take_cabbage(go_alone(take_goat(start))))))]]) ).
cnf(refute_0_4,plain,
( ~ p(north,south,north,north,take_cabbage(go_alone(take_goat(start))))
| p(south,south,north,south,take_cabbage(take_cabbage(go_alone(take_goat(start))))) ),
inference(subst,[],[thm100_15:[bind(A,$fot(take_cabbage(go_alone(take_goat(start)))))]]) ).
cnf(refute_0_5,plain,
( ~ p(south,south,north,south,go_alone(take_goat(start)))
| p(north,south,north,north,take_cabbage(go_alone(take_goat(start)))) ),
inference(subst,[],[thm100_14:[bind(A,$fot(go_alone(take_goat(start))))]]) ).
cnf(refute_0_6,plain,
( ~ p(north,south,north,south,take_goat(start))
| p(south,south,north,south,go_alone(take_goat(start))) ),
inference(subst,[],[thm100_5:[bind(A,$fot(take_goat(start)))]]) ).
cnf(refute_0_7,plain,
( ~ p(south,south,south,south,start)
| p(north,south,north,south,take_goat(start)) ),
inference(subst,[],[thm100_10:[bind(A,$fot(south)),bind(B,$fot(south)),bind(C,$fot(start))]]) ).
cnf(refute_0_8,plain,
p(north,south,north,south,take_goat(start)),
inference(resolve,[$cnf( p(south,south,south,south,start) )],[thm100_1,refute_0_7]) ).
cnf(refute_0_9,plain,
p(south,south,north,south,go_alone(take_goat(start))),
inference(resolve,[$cnf( p(north,south,north,south,take_goat(start)) )],[refute_0_8,refute_0_6]) ).
cnf(refute_0_10,plain,
p(north,south,north,north,take_cabbage(go_alone(take_goat(start)))),
inference(resolve,[$cnf( p(south,south,north,south,go_alone(take_goat(start))) )],[refute_0_9,refute_0_5]) ).
cnf(refute_0_11,plain,
p(south,south,north,south,take_cabbage(take_cabbage(go_alone(take_goat(start))))),
inference(resolve,[$cnf( p(north,south,north,north,take_cabbage(go_alone(take_goat(start)))) )],[refute_0_10,refute_0_4]) ).
cnf(refute_0_12,plain,
p(north,south,north,north,take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))),
inference(resolve,[$cnf( p(south,south,north,south,take_cabbage(take_cabbage(go_alone(take_goat(start))))) )],[refute_0_11,refute_0_3]) ).
cnf(refute_0_13,plain,
( ~ p(north,south,north,north,take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))
| p(south,south,south,north,take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))) ),
inference(subst,[],[thm100_11:[bind(A,$fot(south)),bind(B,$fot(north)),bind(C,$fot(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))]]) ).
cnf(refute_0_14,plain,
p(south,south,south,north,take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))),
inference(resolve,[$cnf( p(north,south,north,north,take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
p(north,north,south,north,take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))),
inference(resolve,[$cnf( p(south,south,south,north,take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))) )],[refute_0_14,refute_0_2]) ).
cnf(refute_0_16,plain,
p(south,north,south,north,go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))))),
inference(resolve,[$cnf( p(north,north,south,north,take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))) )],[refute_0_15,refute_0_1]) ).
cnf(refute_0_17,plain,
p(north,north,north,north,take_goat(go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))))),
inference(resolve,[$cnf( p(south,north,south,north,go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start))))))))) )],[refute_0_16,refute_0_0]) ).
cnf(refute_0_18,plain,
~ p(north,north,north,north,take_goat(go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))))),
inference(subst,[],[thm100_16:[bind(A,$fot(take_goat(go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))))))]]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( p(north,north,north,north,take_goat(go_alone(take_wolf(take_goat(take_cabbage(take_cabbage(take_cabbage(go_alone(take_goat(start)))))))))) )],[refute_0_17,refute_0_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ047-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat May 28 20:30:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.61/0.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.80
% 0.61/0.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.61/0.80
%------------------------------------------------------------------------------