TSTP Solution File: PUZ001+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% 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 18:20:24 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 82 ( 27 unt; 0 def)
% Number of atoms : 156 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 134 ( 60 ~; 64 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 52 ( 0 sgn 31 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel55_1,axiom,
? [X] :
( lives(X)
& killed(X,agatha) ) ).
fof(pel55_3,axiom,
! [X] :
( lives(X)
=> ( X = agatha
| X = butler
| X = charles ) ) ).
fof(pel55_4,axiom,
! [X,Y] :
( killed(X,Y)
=> hates(X,Y) ) ).
fof(pel55_5,axiom,
! [X,Y] :
( killed(X,Y)
=> ~ richer(X,Y) ) ).
fof(pel55_6,axiom,
! [X] :
( hates(agatha,X)
=> ~ hates(charles,X) ) ).
fof(pel55_7,axiom,
! [X] :
( X != butler
=> hates(agatha,X) ) ).
fof(pel55_8,axiom,
! [X] :
( ~ richer(X,agatha)
=> hates(butler,X) ) ).
fof(pel55_9,axiom,
! [X] :
( hates(agatha,X)
=> hates(butler,X) ) ).
fof(pel55_10,axiom,
! [X] :
? [Y] : ~ hates(X,Y) ).
fof(pel55_11,axiom,
agatha != butler ).
fof(pel55,conjecture,
killed(agatha,agatha) ).
fof(subgoal_0,plain,
killed(agatha,agatha),
inference(strip,[],[pel55]) ).
fof(negate_0_0,plain,
~ killed(agatha,agatha),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
( X = butler
| hates(agatha,X) ),
inference(canonicalize,[],[pel55_7]) ).
fof(normalize_0_1,plain,
! [X] :
( X = butler
| hates(agatha,X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ hates(agatha,X)
| ~ hates(charles,X) ),
inference(canonicalize,[],[pel55_6]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ hates(agatha,X)
| ~ hates(charles,X) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [X] :
( killed(X,agatha)
& lives(X) ),
inference(canonicalize,[],[pel55_1]) ).
fof(normalize_0_5,plain,
( killed(skolemFOFtoCNF_X,agatha)
& lives(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
killed(skolemFOFtoCNF_X,agatha),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ killed(X,Y)
| hates(X,Y) ),
inference(canonicalize,[],[pel55_4]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ killed(X,Y)
| hates(X,Y) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( hates(butler,X)
| richer(X,agatha) ),
inference(canonicalize,[],[pel55_8]) ).
fof(normalize_0_10,plain,
! [X] :
( hates(butler,X)
| richer(X,agatha) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ killed(X,Y)
| ~ richer(X,Y) ),
inference(canonicalize,[],[pel55_5]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ~ killed(X,Y)
| ~ richer(X,Y) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
lives(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ lives(X)
| X = agatha
| X = butler
| X = charles ),
inference(canonicalize,[],[pel55_3]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ lives(X)
| X = agatha
| X = butler
| X = charles ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
~ killed(agatha,agatha),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_17,plain,
! [X] :
? [Y] : ~ hates(X,Y),
inference(canonicalize,[],[pel55_10]) ).
fof(normalize_0_18,plain,
! [X] :
? [Y] : ~ hates(X,Y),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X] : ~ hates(X,skolemFOFtoCNF_Y(X)),
inference(skolemize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X] :
( ~ hates(agatha,X)
| hates(butler,X) ),
inference(canonicalize,[],[pel55_9]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ hates(agatha,X)
| hates(butler,X) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
agatha != butler,
inference(canonicalize,[],[pel55_11]) ).
cnf(refute_0_0,plain,
( X = butler
| hates(agatha,X) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( agatha = butler
| hates(agatha,agatha) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(agatha))]]) ).
cnf(refute_0_2,plain,
( ~ hates(agatha,X)
| ~ hates(charles,X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ hates(agatha,agatha)
| ~ hates(charles,agatha) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(agatha))]]) ).
cnf(refute_0_4,plain,
killed(skolemFOFtoCNF_X,agatha),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
( ~ killed(X,Y)
| hates(X,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ killed(skolemFOFtoCNF_X,agatha)
| hates(skolemFOFtoCNF_X,agatha) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(agatha))]]) ).
cnf(refute_0_7,plain,
hates(skolemFOFtoCNF_X,agatha),
inference(resolve,[$cnf( killed(skolemFOFtoCNF_X,agatha) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( hates(butler,X)
| richer(X,agatha) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( hates(butler,X_8)
| richer(X_8,agatha) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_10,plain,
( ~ killed(X,Y)
| ~ richer(X,Y) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
( ~ killed(X_8,agatha)
| ~ richer(X_8,agatha) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_8)),bind(Y,$fot(agatha))]]) ).
cnf(refute_0_12,plain,
( ~ killed(X_8,agatha)
| hates(butler,X_8) ),
inference(resolve,[$cnf( richer(X_8,agatha) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ killed(skolemFOFtoCNF_X,agatha)
| hates(butler,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_12:[bind(X_8,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_14,plain,
hates(butler,skolemFOFtoCNF_X),
inference(resolve,[$cnf( killed(skolemFOFtoCNF_X,agatha) )],[refute_0_4,refute_0_13]) ).
cnf(refute_0_15,plain,
lives(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_16,plain,
( ~ lives(X)
| X = agatha
| X = butler
| X = charles ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_17,plain,
( ~ lives(skolemFOFtoCNF_X)
| skolemFOFtoCNF_X = agatha
| skolemFOFtoCNF_X = butler
| skolemFOFtoCNF_X = charles ),
inference(subst,[],[refute_0_16:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_18,plain,
( skolemFOFtoCNF_X = agatha
| skolemFOFtoCNF_X = butler
| skolemFOFtoCNF_X = charles ),
inference(resolve,[$cnf( lives(skolemFOFtoCNF_X) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
( skolemFOFtoCNF_X != agatha
| ~ killed(skolemFOFtoCNF_X,agatha)
| killed(agatha,agatha) ),
introduced(tautology,[equality,[$cnf( killed(skolemFOFtoCNF_X,agatha) ),[0],$fot(agatha)]]) ).
cnf(refute_0_20,plain,
( ~ killed(skolemFOFtoCNF_X,agatha)
| skolemFOFtoCNF_X = butler
| skolemFOFtoCNF_X = charles
| killed(agatha,agatha) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,agatha) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( skolemFOFtoCNF_X = butler
| skolemFOFtoCNF_X = charles
| killed(agatha,agatha) ),
inference(resolve,[$cnf( killed(skolemFOFtoCNF_X,agatha) )],[refute_0_4,refute_0_20]) ).
cnf(refute_0_22,plain,
~ killed(agatha,agatha),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_23,plain,
( skolemFOFtoCNF_X = butler
| skolemFOFtoCNF_X = charles ),
inference(resolve,[$cnf( killed(agatha,agatha) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( skolemFOFtoCNF_X != butler
| ~ hates(butler,skolemFOFtoCNF_X)
| hates(butler,butler) ),
introduced(tautology,[equality,[$cnf( hates(butler,skolemFOFtoCNF_X) ),[1],$fot(butler)]]) ).
cnf(refute_0_25,plain,
( ~ hates(butler,skolemFOFtoCNF_X)
| skolemFOFtoCNF_X = charles
| hates(butler,butler) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,butler) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( skolemFOFtoCNF_X = charles
| hates(butler,butler) ),
inference(resolve,[$cnf( hates(butler,skolemFOFtoCNF_X) )],[refute_0_14,refute_0_25]) ).
cnf(refute_0_27,plain,
~ hates(X,skolemFOFtoCNF_Y(X)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_28,plain,
~ hates(butler,skolemFOFtoCNF_Y(butler)),
inference(subst,[],[refute_0_27:[bind(X,$fot(butler))]]) ).
cnf(refute_0_29,plain,
( X_4 = butler
| hates(agatha,X_4) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_30,plain,
( ~ hates(agatha,X)
| hates(butler,X) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_31,plain,
( ~ hates(agatha,X_4)
| hates(butler,X_4) ),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_32,plain,
( X_4 = butler
| hates(butler,X_4) ),
inference(resolve,[$cnf( hates(agatha,X_4) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( skolemFOFtoCNF_Y(butler) = butler
| hates(butler,skolemFOFtoCNF_Y(butler)) ),
inference(subst,[],[refute_0_32:[bind(X_4,$fot(skolemFOFtoCNF_Y(butler)))]]) ).
cnf(refute_0_34,plain,
skolemFOFtoCNF_Y(butler) = butler,
inference(resolve,[$cnf( hates(butler,skolemFOFtoCNF_Y(butler)) )],[refute_0_33,refute_0_28]) ).
cnf(refute_0_35,plain,
( skolemFOFtoCNF_Y(butler) != butler
| ~ hates(butler,butler)
| hates(butler,skolemFOFtoCNF_Y(butler)) ),
introduced(tautology,[equality,[$cnf( ~ hates(butler,skolemFOFtoCNF_Y(butler)) ),[1],$fot(butler)]]) ).
cnf(refute_0_36,plain,
( ~ hates(butler,butler)
| hates(butler,skolemFOFtoCNF_Y(butler)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(butler),butler) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
~ hates(butler,butler),
inference(resolve,[$cnf( hates(butler,skolemFOFtoCNF_Y(butler)) )],[refute_0_36,refute_0_28]) ).
cnf(refute_0_38,plain,
skolemFOFtoCNF_X = charles,
inference(resolve,[$cnf( hates(butler,butler) )],[refute_0_26,refute_0_37]) ).
cnf(refute_0_39,plain,
( skolemFOFtoCNF_X != charles
| ~ hates(skolemFOFtoCNF_X,agatha)
| hates(charles,agatha) ),
introduced(tautology,[equality,[$cnf( hates(skolemFOFtoCNF_X,agatha) ),[0],$fot(charles)]]) ).
cnf(refute_0_40,plain,
( ~ hates(skolemFOFtoCNF_X,agatha)
| hates(charles,agatha) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,charles) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
hates(charles,agatha),
inference(resolve,[$cnf( hates(skolemFOFtoCNF_X,agatha) )],[refute_0_7,refute_0_40]) ).
cnf(refute_0_42,plain,
~ hates(agatha,agatha),
inference(resolve,[$cnf( hates(charles,agatha) )],[refute_0_41,refute_0_3]) ).
cnf(refute_0_43,plain,
agatha = butler,
inference(resolve,[$cnf( hates(agatha,agatha) )],[refute_0_1,refute_0_42]) ).
cnf(refute_0_44,plain,
agatha != butler,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_45,plain,
$false,
inference(resolve,[$cnf( $equal(agatha,butler) )],[refute_0_43,refute_0_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.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 22:42:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem 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
%------------------------------------------------------------------------------