%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 18:20:25 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   71 (  10 unt;  30 nHn;  67 RR)
%            Number of literals    :  154 (   6 equ;  58 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(from_mars_or_venus,axiom,
    ( from_mars(X)
    | from_venus(X) ) ).

cnf(not_from_mars_and_venus,axiom,
    ( ~ from_mars(X)
    | ~ from_venus(X) ) ).

cnf(male_or_female,axiom,
    ( male(X)
    | female(X) ) ).

cnf(not_truthteller_and_liar,axiom,
    ( ~ truthteller(X)
    | ~ liar(X) ) ).

cnf(true_statements_made_by_truthtellers,axiom,
    ( ~ a_truth(statement_by(X))
    | truthteller(X) ) ).

cnf(false_statements_made_by_liars,axiom,
    ( a_truth(statement_by(X))
    | liar(X) ) ).

cnf(venusian_female_are_truthtellers,axiom,
    ( ~ from_venus(X)
    | ~ female(X)
    | truthteller(X) ) ).

cnf(marsian_females_are_liars,axiom,
    ( ~ from_mars(X)
    | ~ female(X)
    | liar(X) ) ).

cnf(a_from_mars1,hypothesis,
    ( ~ from_mars(a)
    | a_truth(a_from_mars) ) ).

cnf(a_from_mars2,hypothesis,
    ( from_mars(a)
    | ~ a_truth(a_from_mars) ) ).

cnf(a_from_mars3,hypothesis,
    ( ~ a_truth(a_from_mars)
    | ~ a_truth(statement_by(b)) ) ).

cnf(a_states,hypothesis,
    statement_by(a) = a_from_mars ).

cnf(b_states,hypothesis,
    statement_by(b) = a_has_lied ).

cnf(truth_of_bs_statement,hypothesis,
    ( a_truth(a_from_mars)
    | a_truth(statement_by(b)) ) ).

cnf(different_sex2,hypothesis,
    ( ~ male(a)
    | female(b) ) ).

cnf(one_from_mars,negated_conjecture,
    ( from_mars(b)
    | from_mars(a) ) ).

cnf(one_from_venus,negated_conjecture,
    ( from_venus(a)
    | from_venus(b) ) ).

cnf(refute_0_0,plain,
    ( statement_by(b) != a_has_lied
    | ~ a_truth(a_has_lied)
    | a_truth(statement_by(b)) ),
    introduced(tautology,[equality,[$cnf( ~ a_truth(statement_by(b)) ),[0],$fot(a_has_lied)]]) ).

cnf(refute_0_1,plain,
    ( ~ a_truth(a_has_lied)
    | a_truth(statement_by(b)) ),
    inference(resolve,[$cnf( $equal(statement_by(b),a_has_lied) )],[b_states,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ a_truth(a_from_mars)
    | ~ a_truth(a_has_lied) ),
    inference(resolve,[$cnf( a_truth(statement_by(b)) )],[refute_0_1,a_from_mars3]) ).

cnf(refute_0_3,plain,
    ( ~ from_mars(a)
    | ~ from_venus(a) ),
    inference(subst,[],[not_from_mars_and_venus:[bind(X,$fot(a))]]) ).

cnf(refute_0_4,plain,
    ( a_truth(statement_by(b))
    | liar(b) ),
    inference(subst,[],[false_statements_made_by_liars:[bind(X,$fot(b))]]) ).

cnf(refute_0_5,plain,
    ( statement_by(b) != a_has_lied
    | ~ a_truth(statement_by(b))
    | a_truth(a_has_lied) ),
    introduced(tautology,[equality,[$cnf( a_truth(statement_by(b)) ),[0],$fot(a_has_lied)]]) ).

cnf(refute_0_6,plain,
    ( ~ a_truth(statement_by(b))
    | a_truth(a_has_lied) ),
    inference(resolve,[$cnf( $equal(statement_by(b),a_has_lied) )],[b_states,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( a_truth(a_has_lied)
    | liar(b) ),
    inference(resolve,[$cnf( a_truth(statement_by(b)) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ liar(b)
    | ~ truthteller(b) ),
    inference(subst,[],[not_truthteller_and_liar:[bind(X,$fot(b))]]) ).

cnf(refute_0_9,plain,
    ( female(a)
    | male(a) ),
    inference(subst,[],[male_or_female:[bind(X,$fot(a))]]) ).

cnf(refute_0_10,plain,
    ( female(a)
    | female(b) ),
    inference(resolve,[$cnf( male(a) )],[refute_0_9,different_sex2]) ).

cnf(refute_0_11,plain,
    ( ~ female(b)
    | ~ from_venus(b)
    | truthteller(b) ),
    inference(subst,[],[venusian_female_are_truthtellers:[bind(X,$fot(b))]]) ).

cnf(refute_0_12,plain,
    ( ~ female(b)
    | from_venus(a)
    | truthteller(b) ),
    inference(resolve,[$cnf( from_venus(b) )],[one_from_venus,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( female(a)
    | from_venus(a)
    | truthteller(b) ),
    inference(resolve,[$cnf( female(b) )],[refute_0_10,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ liar(b)
    | female(a)
    | from_venus(a) ),
    inference(resolve,[$cnf( truthteller(b) )],[refute_0_13,refute_0_8]) ).

cnf(refute_0_15,plain,
    ( a_truth(a_has_lied)
    | female(a)
    | from_venus(a) ),
    inference(resolve,[$cnf( liar(b) )],[refute_0_7,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ from_mars(a)
    | a_truth(a_has_lied)
    | female(a) ),
    inference(resolve,[$cnf( from_venus(a) )],[refute_0_15,refute_0_3]) ).

cnf(refute_0_17,plain,
    ( a_truth(statement_by(a))
    | liar(a) ),
    inference(subst,[],[false_statements_made_by_liars:[bind(X,$fot(a))]]) ).

cnf(refute_0_18,plain,
    ( statement_by(a) != a_from_mars
    | ~ a_truth(statement_by(a))
    | a_truth(a_from_mars) ),
    introduced(tautology,[equality,[$cnf( a_truth(statement_by(a)) ),[0],$fot(a_from_mars)]]) ).

cnf(refute_0_19,plain,
    ( ~ a_truth(statement_by(a))
    | a_truth(a_from_mars) ),
    inference(resolve,[$cnf( $equal(statement_by(a),a_from_mars) )],[a_states,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( a_truth(a_from_mars)
    | liar(a) ),
    inference(resolve,[$cnf( a_truth(statement_by(a)) )],[refute_0_17,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( ~ liar(a)
    | ~ truthteller(a) ),
    inference(subst,[],[not_truthteller_and_liar:[bind(X,$fot(a))]]) ).

cnf(refute_0_22,plain,
    ( from_mars(X_8)
    | from_venus(X_8) ),
    inference(subst,[],[from_mars_or_venus:[bind(X,$fot(X_8))]]) ).

cnf(refute_0_23,plain,
    ( ~ female(X_8)
    | ~ from_venus(X_8)
    | truthteller(X_8) ),
    inference(subst,[],[venusian_female_are_truthtellers:[bind(X,$fot(X_8))]]) ).

cnf(refute_0_24,plain,
    ( ~ female(X_8)
    | from_mars(X_8)
    | truthteller(X_8) ),
    inference(resolve,[$cnf( from_venus(X_8) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ~ female(a)
    | from_mars(a)
    | truthteller(a) ),
    inference(subst,[],[refute_0_24:[bind(X_8,$fot(a))]]) ).

cnf(refute_0_26,plain,
    ( a_truth(a_from_mars)
    | a_truth(a_has_lied) ),
    inference(resolve,[$cnf( a_truth(statement_by(b)) )],[truth_of_bs_statement,refute_0_6]) ).

cnf(refute_0_27,plain,
    ( ~ a_truth(statement_by(b))
    | truthteller(b) ),
    inference(subst,[],[true_statements_made_by_truthtellers:[bind(X,$fot(b))]]) ).

cnf(refute_0_28,plain,
    ( ~ a_truth(a_has_lied)
    | truthteller(b) ),
    inference(resolve,[$cnf( a_truth(statement_by(b)) )],[refute_0_1,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( a_truth(a_from_mars)
    | truthteller(b) ),
    inference(resolve,[$cnf( a_truth(a_has_lied) )],[refute_0_26,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( ~ liar(b)
    | a_truth(a_from_mars) ),
    inference(resolve,[$cnf( truthteller(b) )],[refute_0_29,refute_0_8]) ).

cnf(refute_0_31,plain,
    ( ~ female(b)
    | ~ from_mars(b)
    | liar(b) ),
    inference(subst,[],[marsian_females_are_liars:[bind(X,$fot(b))]]) ).

cnf(refute_0_32,plain,
    ( ~ female(b)
    | from_mars(a)
    | liar(b) ),
    inference(resolve,[$cnf( from_mars(b) )],[one_from_mars,refute_0_31]) ).

cnf(refute_0_33,plain,
    ( female(a)
    | from_mars(a)
    | liar(b) ),
    inference(resolve,[$cnf( female(b) )],[refute_0_10,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( a_truth(a_from_mars)
    | female(a)
    | from_mars(a) ),
    inference(resolve,[$cnf( liar(b) )],[refute_0_33,refute_0_30]) ).

cnf(refute_0_35,plain,
    ( a_truth(a_from_mars)
    | female(a) ),
    inference(resolve,[$cnf( from_mars(a) )],[refute_0_34,a_from_mars1]) ).

cnf(refute_0_36,plain,
    ( a_truth(a_from_mars)
    | from_mars(a)
    | truthteller(a) ),
    inference(resolve,[$cnf( female(a) )],[refute_0_35,refute_0_25]) ).

cnf(refute_0_37,plain,
    ( ~ liar(a)
    | a_truth(a_from_mars)
    | from_mars(a) ),
    inference(resolve,[$cnf( truthteller(a) )],[refute_0_36,refute_0_21]) ).

cnf(refute_0_38,plain,
    ( a_truth(a_from_mars)
    | from_mars(a) ),
    inference(resolve,[$cnf( liar(a) )],[refute_0_20,refute_0_37]) ).

cnf(refute_0_39,plain,
    a_truth(a_from_mars),
    inference(resolve,[$cnf( from_mars(a) )],[refute_0_38,a_from_mars1]) ).

cnf(refute_0_40,plain,
    from_mars(a),
    inference(resolve,[$cnf( a_truth(a_from_mars) )],[refute_0_39,a_from_mars2]) ).

cnf(refute_0_41,plain,
    ( a_truth(a_has_lied)
    | female(a) ),
    inference(resolve,[$cnf( from_mars(a) )],[refute_0_40,refute_0_16]) ).

cnf(refute_0_42,plain,
    ( ~ female(a)
    | ~ from_mars(a)
    | liar(a) ),
    inference(subst,[],[marsian_females_are_liars:[bind(X,$fot(a))]]) ).

cnf(refute_0_43,plain,
    ( ~ female(a)
    | liar(a) ),
    inference(resolve,[$cnf( from_mars(a) )],[refute_0_40,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( ~ a_truth(statement_by(a))
    | truthteller(a) ),
    inference(subst,[],[true_statements_made_by_truthtellers:[bind(X,$fot(a))]]) ).

cnf(refute_0_45,plain,
    ( statement_by(a) != a_from_mars
    | ~ a_truth(a_from_mars)
    | a_truth(statement_by(a)) ),
    introduced(tautology,[equality,[$cnf( ~ a_truth(statement_by(a)) ),[0],$fot(a_from_mars)]]) ).

cnf(refute_0_46,plain,
    ( ~ a_truth(a_from_mars)
    | a_truth(statement_by(a)) ),
    inference(resolve,[$cnf( $equal(statement_by(a),a_from_mars) )],[a_states,refute_0_45]) ).

cnf(refute_0_47,plain,
    ( ~ a_truth(a_from_mars)
    | truthteller(a) ),
    inference(resolve,[$cnf( a_truth(statement_by(a)) )],[refute_0_46,refute_0_44]) ).

cnf(refute_0_48,plain,
    truthteller(a),
    inference(resolve,[$cnf( a_truth(a_from_mars) )],[refute_0_39,refute_0_47]) ).

cnf(refute_0_49,plain,
    ~ liar(a),
    inference(resolve,[$cnf( truthteller(a) )],[refute_0_48,refute_0_21]) ).

cnf(refute_0_50,plain,
    ~ female(a),
    inference(resolve,[$cnf( liar(a) )],[refute_0_43,refute_0_49]) ).

cnf(refute_0_51,plain,
    a_truth(a_has_lied),
    inference(resolve,[$cnf( female(a) )],[refute_0_41,refute_0_50]) ).

cnf(refute_0_52,plain,
    ~ a_truth(a_from_mars),
    inference(resolve,[$cnf( a_truth(a_has_lied) )],[refute_0_51,refute_0_2]) ).

cnf(refute_0_53,plain,
    $false,
    inference(resolve,[$cnf( a_truth(a_from_mars) )],[refute_0_39,refute_0_52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n017.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  : 600
% 0.12/0.33  % DateTime : Sat May 28 20:00:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------