TSTP Solution File: NLP143-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NLP143-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 03:15:22 EDT 2022

% Result   : Unsatisfiable 0.17s 0.36s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   66 (  29 unt;   0 nHn;  49 RR)
%            Number of literals    :  105 (  13 equ;  44 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  14 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   60 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause2,axiom,
    ( ~ fellow(U,V)
    | man(U,V) ) ).

cnf(clause3,axiom,
    ( ~ man(U,V)
    | human_person(U,V) ) ).

cnf(clause13,axiom,
    ( ~ human_person(U,V)
    | animate(U,V) ) ).

cnf(clause30,axiom,
    ( ~ instrumentality(U,V)
    | artifact(U,V) ) ).

cnf(clause31,axiom,
    ( ~ artifact(U,V)
    | object(U,V) ) ).

cnf(clause33,axiom,
    ( ~ object(U,V)
    | nonliving(U,V) ) ).

cnf(clause48,axiom,
    ( ~ frontseat(U,V)
    | seat(U,V) ) ).

cnf(clause49,axiom,
    ( ~ seat(U,V)
    | furniture(U,V) ) ).

cnf(clause50,axiom,
    ( ~ furniture(U,V)
    | instrumentality(U,V) ) ).

cnf(clause58,axiom,
    ( ~ nonliving(U,V)
    | ~ animate(U,V) ) ).

cnf(clause59,axiom,
    ( ~ be(U,V,W,X)
    | W = X ) ).

cnf(clause60,axiom,
    ( ~ two(U,V)
    | member(U,skf10(V,U),V) ) ).

cnf(clause61,axiom,
    ( ~ two(U,V)
    | member(U,skf8(V,U),V) ) ).

cnf(clause73,negated_conjecture,
    two(skc6,skc7) ).

cnf(clause88,negated_conjecture,
    ( ~ member(skc6,U,skc7)
    | fellow(skc6,U) ) ).

cnf(clause89,negated_conjecture,
    ( ~ member(skc6,U,skc7)
    | frontseat(skc6,skf5(V)) ) ).

cnf(clause92,negated_conjecture,
    ( ~ member(skc6,U,skc7)
    | be(skc6,skf6(U),U,skf5(U)) ) ).

cnf(refute_0_0,plain,
    ( ~ animate(skc6,skf5(X_135))
    | ~ nonliving(skc6,skf5(X_135)) ),
    inference(subst,[],[clause58:[bind(U,$fot(skc6)),bind(V,$fot(skf5(X_135)))]]) ).

cnf(refute_0_1,plain,
    ( ~ object(skc6,skf5(X_128))
    | nonliving(skc6,skf5(X_128)) ),
    inference(subst,[],[clause33:[bind(U,$fot(skc6)),bind(V,$fot(skf5(X_128)))]]) ).

cnf(refute_0_2,plain,
    ( ~ artifact(skc6,skf5(X_127))
    | object(skc6,skf5(X_127)) ),
    inference(subst,[],[clause31:[bind(U,$fot(skc6)),bind(V,$fot(skf5(X_127)))]]) ).

cnf(refute_0_3,plain,
    ( ~ instrumentality(skc6,skf5(X_126))
    | artifact(skc6,skf5(X_126)) ),
    inference(subst,[],[clause30:[bind(U,$fot(skc6)),bind(V,$fot(skf5(X_126)))]]) ).

cnf(refute_0_4,plain,
    ( ~ furniture(skc6,skf5(X_125))
    | instrumentality(skc6,skf5(X_125)) ),
    inference(subst,[],[clause50:[bind(U,$fot(skc6)),bind(V,$fot(skf5(X_125)))]]) ).

cnf(refute_0_5,plain,
    ( ~ seat(skc6,skf5(X_124))
    | furniture(skc6,skf5(X_124)) ),
    inference(subst,[],[clause49:[bind(U,$fot(skc6)),bind(V,$fot(skf5(X_124)))]]) ).

cnf(refute_0_6,plain,
    ( ~ frontseat(skc6,skf5(X_123))
    | seat(skc6,skf5(X_123)) ),
    inference(subst,[],[clause48:[bind(U,$fot(skc6)),bind(V,$fot(skf5(X_123)))]]) ).

cnf(refute_0_7,plain,
    ( ~ two(skc6,skc7)
    | member(skc6,skf10(skc7,skc6),skc7) ),
    inference(subst,[],[clause60:[bind(U,$fot(skc6)),bind(V,$fot(skc7))]]) ).

cnf(refute_0_8,plain,
    member(skc6,skf10(skc7,skc6),skc7),
    inference(resolve,[$cnf( two(skc6,skc7) )],[clause73,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ member(skc6,skf10(skc7,skc6),skc7)
    | frontseat(skc6,skf5(X_122)) ),
    inference(subst,[],[clause89:[bind(U,$fot(skf10(skc7,skc6))),bind(V,$fot(X_122))]]) ).

cnf(refute_0_10,plain,
    frontseat(skc6,skf5(X_122)),
    inference(resolve,[$cnf( member(skc6,skf10(skc7,skc6),skc7) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    frontseat(skc6,skf5(X_123)),
    inference(subst,[],[refute_0_10:[bind(X_122,$fot(X_123))]]) ).

cnf(refute_0_12,plain,
    seat(skc6,skf5(X_123)),
    inference(resolve,[$cnf( frontseat(skc6,skf5(X_123)) )],[refute_0_11,refute_0_6]) ).

cnf(refute_0_13,plain,
    seat(skc6,skf5(X_124)),
    inference(subst,[],[refute_0_12:[bind(X_123,$fot(X_124))]]) ).

cnf(refute_0_14,plain,
    furniture(skc6,skf5(X_124)),
    inference(resolve,[$cnf( seat(skc6,skf5(X_124)) )],[refute_0_13,refute_0_5]) ).

cnf(refute_0_15,plain,
    furniture(skc6,skf5(X_125)),
    inference(subst,[],[refute_0_14:[bind(X_124,$fot(X_125))]]) ).

cnf(refute_0_16,plain,
    instrumentality(skc6,skf5(X_125)),
    inference(resolve,[$cnf( furniture(skc6,skf5(X_125)) )],[refute_0_15,refute_0_4]) ).

cnf(refute_0_17,plain,
    instrumentality(skc6,skf5(X_126)),
    inference(subst,[],[refute_0_16:[bind(X_125,$fot(X_126))]]) ).

cnf(refute_0_18,plain,
    artifact(skc6,skf5(X_126)),
    inference(resolve,[$cnf( instrumentality(skc6,skf5(X_126)) )],[refute_0_17,refute_0_3]) ).

cnf(refute_0_19,plain,
    artifact(skc6,skf5(X_127)),
    inference(subst,[],[refute_0_18:[bind(X_126,$fot(X_127))]]) ).

cnf(refute_0_20,plain,
    object(skc6,skf5(X_127)),
    inference(resolve,[$cnf( artifact(skc6,skf5(X_127)) )],[refute_0_19,refute_0_2]) ).

cnf(refute_0_21,plain,
    object(skc6,skf5(X_128)),
    inference(subst,[],[refute_0_20:[bind(X_127,$fot(X_128))]]) ).

cnf(refute_0_22,plain,
    nonliving(skc6,skf5(X_128)),
    inference(resolve,[$cnf( object(skc6,skf5(X_128)) )],[refute_0_21,refute_0_1]) ).

cnf(refute_0_23,plain,
    nonliving(skc6,skf5(X_135)),
    inference(subst,[],[refute_0_22:[bind(X_128,$fot(X_135))]]) ).

cnf(refute_0_24,plain,
    ~ animate(skc6,skf5(X_135)),
    inference(resolve,[$cnf( nonliving(skc6,skf5(X_135)) )],[refute_0_23,refute_0_0]) ).

cnf(refute_0_25,plain,
    ~ animate(skc6,skf5(skf8(skc7,skc6))),
    inference(subst,[],[refute_0_24:[bind(X_135,$fot(skf8(skc7,skc6)))]]) ).

cnf(refute_0_26,plain,
    ( ~ member(skc6,skf8(skc7,skc6),skc7)
    | be(skc6,skf6(skf8(skc7,skc6)),skf8(skc7,skc6),skf5(skf8(skc7,skc6))) ),
    inference(subst,[],[clause92:[bind(U,$fot(skf8(skc7,skc6)))]]) ).

cnf(refute_0_27,plain,
    ( ~ two(skc6,skc7)
    | member(skc6,skf8(skc7,skc6),skc7) ),
    inference(subst,[],[clause61:[bind(U,$fot(skc6)),bind(V,$fot(skc7))]]) ).

cnf(refute_0_28,plain,
    member(skc6,skf8(skc7,skc6),skc7),
    inference(resolve,[$cnf( two(skc6,skc7) )],[clause73,refute_0_27]) ).

cnf(refute_0_29,plain,
    be(skc6,skf6(skf8(skc7,skc6)),skf8(skc7,skc6),skf5(skf8(skc7,skc6))),
    inference(resolve,[$cnf( member(skc6,skf8(skc7,skc6),skc7) )],[refute_0_28,refute_0_26]) ).

cnf(refute_0_30,plain,
    ( ~ be(skc6,skf6(skf8(skc7,skc6)),skf8(skc7,skc6),skf5(skf8(skc7,skc6)))
    | skf8(skc7,skc6) = skf5(skf8(skc7,skc6)) ),
    inference(subst,[],[clause59:[bind(U,$fot(skc6)),bind(V,$fot(skf6(skf8(skc7,skc6)))),bind(W,$fot(skf8(skc7,skc6))),bind(X,$fot(skf5(skf8(skc7,skc6))))]]) ).

cnf(refute_0_31,plain,
    skf8(skc7,skc6) = skf5(skf8(skc7,skc6)),
    inference(resolve,[$cnf( be(skc6,skf6(skf8(skc7,skc6)),skf8(skc7,skc6),skf5(skf8(skc7,skc6))) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_33,plain,
    ( X0 != X0
    | X0 != Y
    | Y = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).

cnf(refute_0_34,plain,
    ( X0 != Y
    | Y = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    ( skf8(skc7,skc6) != skf5(skf8(skc7,skc6))
    | skf5(skf8(skc7,skc6)) = skf8(skc7,skc6) ),
    inference(subst,[],[refute_0_34:[bind(X0,$fot(skf8(skc7,skc6))),bind(Y,$fot(skf5(skf8(skc7,skc6))))]]) ).

cnf(refute_0_36,plain,
    skf5(skf8(skc7,skc6)) = skf8(skc7,skc6),
    inference(resolve,[$cnf( $equal(skf8(skc7,skc6),skf5(skf8(skc7,skc6))) )],[refute_0_31,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( skf5(skf8(skc7,skc6)) != skf8(skc7,skc6)
    | ~ animate(skc6,skf8(skc7,skc6))
    | animate(skc6,skf5(skf8(skc7,skc6))) ),
    introduced(tautology,[equality,[$cnf( ~ animate(skc6,skf5(skf8(skc7,skc6))) ),[1],$fot(skf8(skc7,skc6))]]) ).

cnf(refute_0_38,plain,
    ( ~ animate(skc6,skf8(skc7,skc6))
    | animate(skc6,skf5(skf8(skc7,skc6))) ),
    inference(resolve,[$cnf( $equal(skf5(skf8(skc7,skc6)),skf8(skc7,skc6)) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    ~ animate(skc6,skf8(skc7,skc6)),
    inference(resolve,[$cnf( animate(skc6,skf5(skf8(skc7,skc6))) )],[refute_0_38,refute_0_25]) ).

cnf(refute_0_40,plain,
    ( ~ human_person(skc6,skf8(skc7,skc6))
    | animate(skc6,skf8(skc7,skc6)) ),
    inference(subst,[],[clause13:[bind(U,$fot(skc6)),bind(V,$fot(skf8(skc7,skc6)))]]) ).

cnf(refute_0_41,plain,
    ( ~ man(skc6,skf8(skc7,skc6))
    | human_person(skc6,skf8(skc7,skc6)) ),
    inference(subst,[],[clause3:[bind(U,$fot(skc6)),bind(V,$fot(skf8(skc7,skc6)))]]) ).

cnf(refute_0_42,plain,
    ( ~ fellow(skc6,skf8(skc7,skc6))
    | man(skc6,skf8(skc7,skc6)) ),
    inference(subst,[],[clause2:[bind(U,$fot(skc6)),bind(V,$fot(skf8(skc7,skc6)))]]) ).

cnf(refute_0_43,plain,
    ( ~ member(skc6,skf8(skc7,skc6),skc7)
    | fellow(skc6,skf8(skc7,skc6)) ),
    inference(subst,[],[clause88:[bind(U,$fot(skf8(skc7,skc6)))]]) ).

cnf(refute_0_44,plain,
    fellow(skc6,skf8(skc7,skc6)),
    inference(resolve,[$cnf( member(skc6,skf8(skc7,skc6),skc7) )],[refute_0_28,refute_0_43]) ).

cnf(refute_0_45,plain,
    man(skc6,skf8(skc7,skc6)),
    inference(resolve,[$cnf( fellow(skc6,skf8(skc7,skc6)) )],[refute_0_44,refute_0_42]) ).

cnf(refute_0_46,plain,
    human_person(skc6,skf8(skc7,skc6)),
    inference(resolve,[$cnf( man(skc6,skf8(skc7,skc6)) )],[refute_0_45,refute_0_41]) ).

cnf(refute_0_47,plain,
    animate(skc6,skf8(skc7,skc6)),
    inference(resolve,[$cnf( human_person(skc6,skf8(skc7,skc6)) )],[refute_0_46,refute_0_40]) ).

cnf(refute_0_48,plain,
    $false,
    inference(resolve,[$cnf( animate(skc6,skf8(skc7,skc6)) )],[refute_0_47,refute_0_39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NLP143-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.31  % Computer : n023.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 600
% 0.12/0.31  % DateTime : Fri Jul  1 01:27:44 EDT 2022
% 0.12/0.31  % CPUTime  : 
% 0.17/0.32  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.36  
% 0.17/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.17/0.37  
%------------------------------------------------------------------------------