TSTP Solution File: PUZ026-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ026-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 18:20:38 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of clauses : 69 ( 9 unt; 26 nHn; 67 RR)
% Number of literals : 176 ( 0 equ; 90 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(person_is_one_type,axiom,
( a_truth(truthteller(X))
| a_truth(liar(X))
| a_truth(normal(X)) ) ).
cnf(not_liar_and_normal,axiom,
( ~ a_truth(liar(X))
| ~ a_truth(normal(X)) ) ).
cnf(truthtellers_tell_truth,axiom,
( ~ a_truth(truthteller(X))
| ~ a_truth(says(X,Y))
| a_truth(Y) ) ).
cnf(liars_lie,axiom,
( ~ a_truth(liar(X))
| ~ a_truth(says(X,Y))
| ~ a_truth(Y) ) ).
cnf(truthtellers_and_normal_tell_truth,axiom,
( ~ a_truth(X)
| ~ a_truth(says(Y,X))
| a_truth(truthteller(Y))
| a_truth(normal(Y)) ) ).
cnf(normal_or_not_normal,axiom,
( a_truth(not_normal(X))
| a_truth(normal(X)) ) ).
cnf(not_two_truthtellers1,axiom,
( ~ people(X,Y,Z)
| ~ a_truth(truthteller(X))
| ~ a_truth(truthteller(Y)) ) ).
cnf(not_two_liars1,axiom,
( ~ people(X,Y,Z)
| ~ a_truth(liar(X))
| ~ a_truth(liar(Y)) ) ).
cnf(not_two_normal1,axiom,
( ~ people(X,Y,Z)
| ~ a_truth(normal(X))
| ~ a_truth(normal(Y)) ) ).
cnf(not_two_normal2,axiom,
( ~ people(X,Y,Z)
| ~ a_truth(normal(X))
| ~ a_truth(normal(Z)) ) ).
cnf(a_b_c_are_people,hypothesis,
people(a,b,c) ).
cnf(b_c_a_are_people,hypothesis,
people(b,c,a) ).
cnf(a_says_a_normal,hypothesis,
a_truth(says(a,normal(a))) ).
cnf(b_says_a_normal,hypothesis,
a_truth(says(b,normal(a))) ).
cnf(c_says_c_not_normal,hypothesis,
a_truth(says(c,not_normal(c))) ).
cnf(prove_one_of_each,negated_conjecture,
( ~ a_truth(liar(Liar))
| ~ a_truth(normal(Normal))
| ~ a_truth(truthteller(Truthteller)) ) ).
cnf(refute_0_0,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| ~ people(a,b,c) ),
inference(subst,[],[not_two_liars1:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(c))]]) ).
cnf(refute_0_1,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
inference(resolve,[$cnf( people(a,b,c) )],[a_b_c_are_people,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(a)) ),
inference(subst,[],[not_liar_and_normal:[bind(X,$fot(a))]]) ).
cnf(refute_0_3,plain,
( a_truth(liar(b))
| a_truth(normal(b))
| a_truth(truthteller(b)) ),
inference(subst,[],[person_is_one_type:[bind(X,$fot(b))]]) ).
cnf(refute_0_4,plain,
( ~ a_truth(says(b,normal(a)))
| ~ a_truth(truthteller(b))
| a_truth(normal(a)) ),
inference(subst,[],[truthtellers_tell_truth:[bind(X,$fot(b)),bind(Y,$fot(normal(a)))]]) ).
cnf(refute_0_5,plain,
( ~ a_truth(truthteller(b))
| a_truth(normal(a)) ),
inference(resolve,[$cnf( a_truth(says(b,normal(a))) )],[b_says_a_normal,refute_0_4]) ).
cnf(refute_0_6,plain,
( a_truth(liar(b))
| a_truth(normal(a))
| a_truth(normal(b)) ),
inference(resolve,[$cnf( a_truth(truthteller(b)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(c))
| ~ people(b,c,a) ),
inference(subst,[],[not_two_normal1:[bind(X,$fot(b)),bind(Y,$fot(c)),bind(Z,$fot(a))]]) ).
cnf(refute_0_8,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(c)) ),
inference(resolve,[$cnf( people(b,c,a) )],[b_c_a_are_people,refute_0_7]) ).
cnf(refute_0_9,plain,
( a_truth(liar(a))
| a_truth(normal(a))
| a_truth(truthteller(a)) ),
inference(subst,[],[person_is_one_type:[bind(X,$fot(a))]]) ).
cnf(refute_0_10,plain,
( ~ a_truth(says(a,normal(a)))
| ~ a_truth(truthteller(a))
| a_truth(normal(a)) ),
inference(subst,[],[truthtellers_tell_truth:[bind(X,$fot(a)),bind(Y,$fot(normal(a)))]]) ).
cnf(refute_0_11,plain,
( ~ a_truth(truthteller(a))
| a_truth(normal(a)) ),
inference(resolve,[$cnf( a_truth(says(a,normal(a))) )],[a_says_a_normal,refute_0_10]) ).
cnf(refute_0_12,plain,
( a_truth(liar(a))
| a_truth(normal(a)) ),
inference(resolve,[$cnf( a_truth(truthteller(a)) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| ~ a_truth(says(b,normal(a))) ),
inference(subst,[],[liars_lie:[bind(X,$fot(b)),bind(Y,$fot(normal(a)))]]) ).
cnf(refute_0_14,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(resolve,[$cnf( a_truth(says(b,normal(a))) )],[b_says_a_normal,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ a_truth(liar(b))
| a_truth(liar(a)) ),
inference(resolve,[$cnf( a_truth(normal(a)) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| ~ people(a,b,c) ),
inference(subst,[],[not_two_normal1:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(c))]]) ).
cnf(refute_0_17,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b)) ),
inference(resolve,[$cnf( people(a,b,c) )],[a_b_c_are_people,refute_0_16]) ).
cnf(refute_0_18,plain,
( a_truth(liar(c))
| a_truth(normal(c))
| a_truth(truthteller(c)) ),
inference(subst,[],[person_is_one_type:[bind(X,$fot(c))]]) ).
cnf(refute_0_19,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(c))
| ~ people(b,c,a) ),
inference(subst,[],[not_two_truthtellers1:[bind(X,$fot(b)),bind(Y,$fot(c)),bind(Z,$fot(a))]]) ).
cnf(refute_0_20,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(c)) ),
inference(resolve,[$cnf( people(b,c,a) )],[b_c_a_are_people,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ a_truth(truthteller(b))
| a_truth(liar(c))
| a_truth(normal(c)) ),
inference(resolve,[$cnf( a_truth(truthteller(c)) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
( a_truth(liar(b))
| a_truth(liar(c))
| a_truth(normal(b))
| a_truth(normal(c)) ),
inference(resolve,[$cnf( a_truth(truthteller(b)) )],[refute_0_3,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(c))
| ~ people(a,b,c) ),
inference(subst,[],[not_two_normal2:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(c))]]) ).
cnf(refute_0_24,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(c)) ),
inference(resolve,[$cnf( people(a,b,c) )],[a_b_c_are_people,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ a_truth(normal(a))
| a_truth(liar(b))
| a_truth(liar(c))
| a_truth(normal(b)) ),
inference(resolve,[$cnf( a_truth(normal(c)) )],[refute_0_22,refute_0_24]) ).
cnf(refute_0_26,plain,
( a_truth(liar(a))
| a_truth(liar(b))
| a_truth(liar(c))
| a_truth(normal(b)) ),
inference(resolve,[$cnf( a_truth(normal(a)) )],[refute_0_12,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ a_truth(normal(a))
| a_truth(liar(a))
| a_truth(liar(b))
| a_truth(liar(c)) ),
inference(resolve,[$cnf( a_truth(normal(b)) )],[refute_0_26,refute_0_17]) ).
cnf(refute_0_28,plain,
( a_truth(liar(a))
| a_truth(liar(b))
| a_truth(liar(c)) ),
inference(resolve,[$cnf( a_truth(normal(a)) )],[refute_0_12,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ a_truth(liar(c))
| ~ a_truth(normal(c)) ),
inference(subst,[],[not_liar_and_normal:[bind(X,$fot(c))]]) ).
cnf(refute_0_30,plain,
( a_truth(normal(c))
| a_truth(not_normal(c)) ),
inference(subst,[],[normal_or_not_normal:[bind(X,$fot(c))]]) ).
cnf(refute_0_31,plain,
( ~ a_truth(liar(c))
| ~ a_truth(not_normal(c))
| ~ a_truth(says(c,not_normal(c))) ),
inference(subst,[],[liars_lie:[bind(X,$fot(c)),bind(Y,$fot(not_normal(c)))]]) ).
cnf(refute_0_32,plain,
( ~ a_truth(liar(c))
| ~ a_truth(not_normal(c)) ),
inference(resolve,[$cnf( a_truth(says(c,not_normal(c))) )],[c_says_c_not_normal,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ a_truth(liar(c))
| a_truth(normal(c)) ),
inference(resolve,[$cnf( a_truth(not_normal(c)) )],[refute_0_30,refute_0_32]) ).
cnf(refute_0_34,plain,
( a_truth(liar(a))
| a_truth(liar(b))
| a_truth(normal(c)) ),
inference(resolve,[$cnf( a_truth(liar(c)) )],[refute_0_28,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ a_truth(liar(c))
| a_truth(liar(a))
| a_truth(liar(b)) ),
inference(resolve,[$cnf( a_truth(normal(c)) )],[refute_0_34,refute_0_29]) ).
cnf(refute_0_36,plain,
( a_truth(liar(a))
| a_truth(liar(b)) ),
inference(resolve,[$cnf( a_truth(liar(c)) )],[refute_0_28,refute_0_35]) ).
cnf(refute_0_37,plain,
a_truth(liar(a)),
inference(resolve,[$cnf( a_truth(liar(b)) )],[refute_0_36,refute_0_15]) ).
cnf(refute_0_38,plain,
( ~ a_truth(liar(Liar))
| ~ a_truth(normal(Normal))
| ~ a_truth(truthteller(c)) ),
inference(subst,[],[prove_one_of_each:[bind(Truthteller,$fot(c))]]) ).
cnf(refute_0_39,plain,
( ~ a_truth(not_normal(c))
| ~ a_truth(says(c,not_normal(c)))
| a_truth(normal(c))
| a_truth(truthteller(c)) ),
inference(subst,[],[truthtellers_and_normal_tell_truth:[bind(X,$fot(not_normal(c))),bind(Y,$fot(c))]]) ).
cnf(refute_0_40,plain,
( ~ a_truth(not_normal(c))
| a_truth(normal(c))
| a_truth(truthteller(c)) ),
inference(resolve,[$cnf( a_truth(says(c,not_normal(c))) )],[c_says_c_not_normal,refute_0_39]) ).
cnf(refute_0_41,plain,
( a_truth(normal(c))
| a_truth(truthteller(c)) ),
inference(resolve,[$cnf( a_truth(not_normal(c)) )],[refute_0_30,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ a_truth(liar(Liar))
| ~ a_truth(normal(Normal))
| a_truth(normal(c)) ),
inference(resolve,[$cnf( a_truth(truthteller(c)) )],[refute_0_41,refute_0_38]) ).
cnf(refute_0_43,plain,
( ~ a_truth(liar(X_33))
| ~ a_truth(normal(b))
| a_truth(normal(c)) ),
inference(subst,[],[refute_0_42:[bind(Liar,$fot(X_33)),bind(Normal,$fot(b))]]) ).
cnf(refute_0_44,plain,
( ~ a_truth(liar(X_33))
| a_truth(liar(b))
| a_truth(normal(a))
| a_truth(normal(c)) ),
inference(resolve,[$cnf( a_truth(normal(b)) )],[refute_0_6,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ a_truth(liar(a))
| a_truth(liar(b))
| a_truth(normal(a))
| a_truth(normal(c)) ),
inference(subst,[],[refute_0_44:[bind(X_33,$fot(a))]]) ).
cnf(refute_0_46,plain,
( a_truth(liar(b))
| a_truth(normal(a))
| a_truth(normal(c)) ),
inference(resolve,[$cnf( a_truth(liar(a)) )],[refute_0_37,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ a_truth(normal(b))
| a_truth(liar(b))
| a_truth(normal(a)) ),
inference(resolve,[$cnf( a_truth(normal(c)) )],[refute_0_46,refute_0_8]) ).
cnf(refute_0_48,plain,
( a_truth(liar(b))
| a_truth(normal(a)) ),
inference(resolve,[$cnf( a_truth(normal(b)) )],[refute_0_6,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ a_truth(liar(a))
| a_truth(liar(b)) ),
inference(resolve,[$cnf( a_truth(normal(a)) )],[refute_0_48,refute_0_2]) ).
cnf(refute_0_50,plain,
a_truth(liar(b)),
inference(resolve,[$cnf( a_truth(liar(a)) )],[refute_0_37,refute_0_49]) ).
cnf(refute_0_51,plain,
~ a_truth(liar(a)),
inference(resolve,[$cnf( a_truth(liar(b)) )],[refute_0_50,refute_0_1]) ).
cnf(refute_0_52,plain,
$false,
inference(resolve,[$cnf( a_truth(liar(a)) )],[refute_0_37,refute_0_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 19:53:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------