%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.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 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   49 (  14 unt;  15 nHn;  48 RR)
%            Number of literals    :  106 (   0 equ;  55 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-1 aty)
%            Number of variables   :    2 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(person_is_one_type,axiom,
    ( a_truth(truthteller(X))
    | a_truth(liar(X))
    | a_truth(normal(X)) ) ).

cnf(a_and_b_truthteller,hypothesis,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(truthteller(b))
    | answer(a_and_b_truthteller) ) ).

cnf(a_truthteller_b_normal,hypothesis,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(normal(b))
    | answer(a_truthteller_b_normal) ) ).

cnf(a_truthteller_b_liar,hypothesis,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(liar(b))
    | answer(a_truthteller_b_liar) ) ).

cnf(a_normal_b_truthteller,hypothesis,
    ( ~ a_truth(normal(a))
    | ~ a_truth(truthteller(b))
    | answer(a_normal_b_truthteller) ) ).

cnf(a_and_b_normal,hypothesis,
    ( ~ a_truth(normal(a))
    | ~ a_truth(normal(b))
    | answer(a_and_b_normal) ) ).

cnf(a_normal_b_liar,hypothesis,
    ( ~ a_truth(normal(a))
    | ~ a_truth(liar(b))
    | answer(a_normal_b_liar) ) ).

cnf(a_liar_b_truthteller,hypothesis,
    ( ~ a_truth(liar(a))
    | ~ a_truth(truthteller(b))
    | answer(a_liar_b_truthteller) ) ).

cnf(a_liar_b_normal,hypothesis,
    ( ~ a_truth(liar(a))
    | ~ a_truth(normal(b))
    | answer(a_liar_b_normal) ) ).

cnf(a_and_b_liar,hypothesis,
    ( ~ a_truth(liar(a))
    | ~ a_truth(liar(b))
    | answer(a_and_b_liar) ) ).

cnf(prove_there_is_an_answer,negated_conjecture,
    ~ answer(Answer) ).

cnf(refute_0_0,plain,
    ~ answer(a_and_b_liar),
    inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(a_and_b_liar))]]) ).

cnf(refute_0_1,plain,
    ( ~ a_truth(liar(a))
    | ~ a_truth(liar(b)) ),
    inference(resolve,[$cnf( answer(a_and_b_liar) )],[a_and_b_liar,refute_0_0]) ).

cnf(refute_0_2,plain,
    ~ answer(a_liar_b_normal),
    inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(a_liar_b_normal))]]) ).

cnf(refute_0_3,plain,
    ( ~ a_truth(liar(a))
    | ~ a_truth(normal(b)) ),
    inference(resolve,[$cnf( answer(a_liar_b_normal) )],[a_liar_b_normal,refute_0_2]) ).

cnf(refute_0_4,plain,
    ~ answer(a_liar_b_truthteller),
    inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(a_liar_b_truthteller))]]) ).

cnf(refute_0_5,plain,
    ( ~ a_truth(liar(a))
    | ~ a_truth(truthteller(b)) ),
    inference(resolve,[$cnf( answer(a_liar_b_truthteller) )],[a_liar_b_truthteller,refute_0_4]) ).

cnf(refute_0_6,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_7,plain,
    ( ~ a_truth(liar(a))
    | a_truth(liar(b))
    | a_truth(normal(b)) ),
    inference(resolve,[$cnf( a_truth(truthteller(b)) )],[refute_0_6,refute_0_5]) ).

cnf(refute_0_8,plain,
    ~ answer(a_truthteller_b_normal),
    inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(a_truthteller_b_normal))]]) ).

cnf(refute_0_9,plain,
    ( ~ a_truth(normal(b))
    | ~ a_truth(truthteller(a)) ),
    inference(resolve,[$cnf( answer(a_truthteller_b_normal) )],[a_truthteller_b_normal,refute_0_8]) ).

cnf(refute_0_10,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_11,plain,
    ( ~ a_truth(normal(b))
    | a_truth(liar(a))
    | a_truth(normal(a)) ),
    inference(resolve,[$cnf( a_truth(truthteller(a)) )],[refute_0_10,refute_0_9]) ).

cnf(refute_0_12,plain,
    ~ answer(a_and_b_truthteller),
    inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(a_and_b_truthteller))]]) ).

cnf(refute_0_13,plain,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(truthteller(b)) ),
    inference(resolve,[$cnf( answer(a_and_b_truthteller) )],[a_and_b_truthteller,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ a_truth(truthteller(a))
    | a_truth(liar(b))
    | a_truth(normal(b)) ),
    inference(resolve,[$cnf( a_truth(truthteller(b)) )],[refute_0_6,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( a_truth(liar(a))
    | a_truth(liar(b))
    | a_truth(normal(a))
    | a_truth(normal(b)) ),
    inference(resolve,[$cnf( a_truth(truthteller(a)) )],[refute_0_10,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( a_truth(liar(a))
    | a_truth(liar(b))
    | a_truth(normal(a)) ),
    inference(resolve,[$cnf( a_truth(normal(b)) )],[refute_0_15,refute_0_11]) ).

cnf(refute_0_17,plain,
    ~ answer(a_and_b_normal),
    inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(a_and_b_normal))]]) ).

cnf(refute_0_18,plain,
    ( ~ a_truth(normal(a))
    | ~ a_truth(normal(b)) ),
    inference(resolve,[$cnf( answer(a_and_b_normal) )],[a_and_b_normal,refute_0_17]) ).

cnf(refute_0_19,plain,
    ~ answer(a_normal_b_truthteller),
    inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(a_normal_b_truthteller))]]) ).

cnf(refute_0_20,plain,
    ( ~ a_truth(normal(a))
    | ~ a_truth(truthteller(b)) ),
    inference(resolve,[$cnf( answer(a_normal_b_truthteller) )],[a_normal_b_truthteller,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( ~ a_truth(normal(a))
    | a_truth(liar(b))
    | a_truth(normal(b)) ),
    inference(resolve,[$cnf( a_truth(truthteller(b)) )],[refute_0_6,refute_0_20]) ).

cnf(refute_0_22,plain,
    ( a_truth(liar(a))
    | a_truth(liar(b))
    | a_truth(normal(b)) ),
    inference(resolve,[$cnf( a_truth(normal(a)) )],[refute_0_16,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ a_truth(normal(a))
    | a_truth(liar(a))
    | a_truth(liar(b)) ),
    inference(resolve,[$cnf( a_truth(normal(b)) )],[refute_0_22,refute_0_18]) ).

cnf(refute_0_24,plain,
    ( a_truth(liar(a))
    | a_truth(liar(b)) ),
    inference(resolve,[$cnf( a_truth(normal(a)) )],[refute_0_16,refute_0_23]) ).

cnf(refute_0_25,plain,
    ~ answer(a_normal_b_liar),
    inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(a_normal_b_liar))]]) ).

cnf(refute_0_26,plain,
    ( ~ a_truth(liar(b))
    | ~ a_truth(normal(a)) ),
    inference(resolve,[$cnf( answer(a_normal_b_liar) )],[a_normal_b_liar,refute_0_25]) ).

cnf(refute_0_27,plain,
    ~ answer(a_truthteller_b_liar),
    inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(a_truthteller_b_liar))]]) ).

cnf(refute_0_28,plain,
    ( ~ a_truth(liar(b))
    | ~ a_truth(truthteller(a)) ),
    inference(resolve,[$cnf( answer(a_truthteller_b_liar) )],[a_truthteller_b_liar,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( ~ a_truth(liar(b))
    | a_truth(liar(a))
    | a_truth(normal(a)) ),
    inference(resolve,[$cnf( a_truth(truthteller(a)) )],[refute_0_10,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( a_truth(liar(a))
    | a_truth(normal(a)) ),
    inference(resolve,[$cnf( a_truth(liar(b)) )],[refute_0_24,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( ~ a_truth(liar(b))
    | a_truth(liar(a)) ),
    inference(resolve,[$cnf( a_truth(normal(a)) )],[refute_0_30,refute_0_26]) ).

cnf(refute_0_32,plain,
    a_truth(liar(a)),
    inference(resolve,[$cnf( a_truth(liar(b)) )],[refute_0_24,refute_0_31]) ).

cnf(refute_0_33,plain,
    ( a_truth(liar(b))
    | a_truth(normal(b)) ),
    inference(resolve,[$cnf( a_truth(liar(a)) )],[refute_0_32,refute_0_7]) ).

cnf(refute_0_34,plain,
    ( ~ a_truth(liar(a))
    | a_truth(liar(b)) ),
    inference(resolve,[$cnf( a_truth(normal(b)) )],[refute_0_33,refute_0_3]) ).

cnf(refute_0_35,plain,
    a_truth(liar(b)),
    inference(resolve,[$cnf( a_truth(liar(a)) )],[refute_0_32,refute_0_34]) ).

cnf(refute_0_36,plain,
    ~ a_truth(liar(a)),
    inference(resolve,[$cnf( a_truth(liar(b)) )],[refute_0_35,refute_0_1]) ).

cnf(refute_0_37,plain,
    $false,
    inference(resolve,[$cnf( a_truth(liar(a)) )],[refute_0_32,refute_0_36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat May 28 20:14:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.37  
%------------------------------------------------------------------------------