TPTP Problem File: MSC002-2.p

View Solutions - Solve Problem

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% File     : MSC002-2 : TPTP v7.5.0. Released v1.0.0.
% Domain   : Miscellaneous
% Problem  : A Blind Hand Problem
% Version  : Especial.
%            Theorem formulation : Without hand movement.
% English  :

% Refs     : [Pop70] Popplestone (1970), Freddy, Things and Sets
%          : [MRS72] Michie et al. (1972), G-deduction
% Source   : [TPTP]
% Names    :

% Status   : Unsatisfiable
% Rating   : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.00 v2.0.0
% Syntax   : Number of clauses     :   10 (   1 non-Horn;   3 unit;   8 RR)
%            Number of atoms       :   20 (   0 equality)
%            Maximal clause size   :    3 (   2 average)
%            Number of predicates  :    6 (   0 propositional; 1-3 arity)
%            Number of functors    :    7 (   4 constant; 0-2 arity)
%            Number of variables   :   24 (   6 singleton)
%            Maximal term depth    :    4 (   1 average)
% SPC      : CNF_UNS_RFO_NEQ_NHN

% Comments : Clauses about hand movement have been removed.
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cnf(something_is_here_now,axiom,
    ( at(something,here,now) )).

cnf(cant_hold_and_let_go,axiom,
    ( ~ held(Thing,let_go(Situation)) )).

cnf(everything_is_red,axiom,
    ( ~ at(Thing,here,Situation)
    | red(Thing) )).

cnf(situation_let_go,axiom,
    ( ~ at(Thing,Place,Situation)
    | at(Thing,Place,let_go(Situation)) )).

cnf(situation_pick_up,axiom,
    ( ~ at(Thing,Place,Situation)
    | at(Thing,Place,pick_up(Situation)) )).

cnf(can_grab_if_previously_let_go,axiom,
    ( ~ at(Thing,Place,Situation)
    | grabbed(Thing,pick_up(go(Place,let_go(Situation)))) )).

cnf(answer_if_red_and_put_there,axiom,
    ( ~ red(Thing)
    | ~ put(Thing,there,Situation)
    | answer(Situation) )).

cnf(can_put_somewhere_if_grab_and_go_there,axiom,
    ( ~ at(Thing,Place,Situation)
    | ~ grabbed(Thing,Situation)
    | put(Thing,Another_place,go(Another_place,Situation)) )).

cnf(thing_either_held_or_went_there,axiom,
    ( held(Thing,Situation)
    | ~ at(Thing,Place,Situation)
    | at(Thing,Place,go(Another_place,Situation)) )).

cnf(prove_there_is_an_answer_situation,negated_conjecture,
    ( ~ answer(Situation) )).

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