%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ008-1 : 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 18:20:25 EDT 2022

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    9 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   11 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(missionary_west_to_east,axiom,
    ( ~ achievable(west(m(s(X)),c(Y)),boatonwest,east(m(Z),c(W)))
    | achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(W))) ) ).

cnf(extra_cannibal_meal_on_east_bank,axiom,
    achievable(west(X,Y),Z,east(m(s(W)),c(s(s(W))))) ).

cnf(prove_can_get_to_east_bank,negated_conjecture,
    ~ achievable(west(m(n0),c(n0)),X,east(m(s(s(s(n0)))),c(s(s(s(n0)))))) ).

cnf(refute_0_0,plain,
    ~ achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
    inference(subst,[],[prove_can_get_to_east_bank:[bind(X,$fot(boatoneast))]]) ).

cnf(refute_0_1,plain,
    achievable(west(m(s(X_38)),c(X_39)),boatonwest,east(m(s(W)),c(s(s(W))))),
    inference(subst,[],[extra_cannibal_meal_on_east_bank:[bind(X,$fot(m(s(X_38)))),bind(Y,$fot(c(X_39))),bind(Z,$fot(boatonwest))]]) ).

cnf(refute_0_2,plain,
    ( ~ achievable(west(m(s(X_38)),c(X_39)),boatonwest,east(m(s(W)),c(s(s(W)))))
    | achievable(west(m(X_38),c(X_39)),boatoneast,east(m(s(s(W))),c(s(s(W))))) ),
    inference(subst,[],[missionary_west_to_east:[bind(W,$fot(s(s(W)))),bind(X,$fot(X_38)),bind(Y,$fot(X_39)),bind(Z,$fot(s(W)))]]) ).

cnf(refute_0_3,plain,
    achievable(west(m(X_38),c(X_39)),boatoneast,east(m(s(s(W))),c(s(s(W))))),
    inference(resolve,[$cnf( achievable(west(m(s(X_38)),c(X_39)),boatonwest,east(m(s(W)),c(s(s(W))))) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
    inference(subst,[],[refute_0_3:[bind(W,$fot(s(n0))),bind(X_38,$fot(n0)),bind(X_39,$fot(n0))]]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0)))))) )],[refute_0_4,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : PUZ008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % 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 : Sun May 29 02:18:21 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  
% 0.13/0.38  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.38  
%------------------------------------------------------------------------------