TSTP Solution File: PUZ031+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ031+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 18:20:50 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 18
% Syntax : Number of formulae : 159 ( 35 unt; 0 def)
% Number of atoms : 475 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 585 ( 269 ~; 268 |; 34 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 177 ( 0 sgn 83 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel47_1_1,axiom,
! [X] :
( wolf(X)
=> animal(X) ) ).
fof(pel47_1_2,axiom,
? [X1] : wolf(X1) ).
fof(pel47_2_1,axiom,
! [X] :
( fox(X)
=> animal(X) ) ).
fof(pel47_2_2,axiom,
? [X1] : fox(X1) ).
fof(pel47_3_1,axiom,
! [X] :
( bird(X)
=> animal(X) ) ).
fof(pel47_3_2,axiom,
? [X1] : bird(X1) ).
fof(pel47_5_1,axiom,
! [X] :
( snail(X)
=> animal(X) ) ).
fof(pel47_5_2,axiom,
? [X1] : snail(X1) ).
fof(pel47_6_1,axiom,
? [X] : grain(X) ).
fof(pel47_6_2,axiom,
! [X1] :
( grain(X1)
=> plant(X1) ) ).
fof(pel47_7,axiom,
! [X] :
( animal(X)
=> ( ! [Y] :
( plant(Y)
=> eats(X,Y) )
| ! [Y1] :
( ( animal(Y1)
& much_smaller(Y1,X)
& ? [Z] :
( plant(Z)
& eats(Y1,Z) ) )
=> eats(X,Y1) ) ) ) ).
fof(pel47_8,axiom,
! [X,Y] :
( ( bird(Y)
& ( snail(X)
| caterpillar(X) ) )
=> much_smaller(X,Y) ) ).
fof(pel47_9,axiom,
! [X,Y] :
( ( bird(X)
& fox(Y) )
=> much_smaller(X,Y) ) ).
fof(pel47_10,axiom,
! [X,Y] :
( ( fox(X)
& wolf(Y) )
=> much_smaller(X,Y) ) ).
fof(pel47_11,axiom,
! [X,Y] :
( ( wolf(X)
& ( fox(Y)
| grain(Y) ) )
=> ~ eats(X,Y) ) ).
fof(pel47_13,axiom,
! [X,Y] :
( ( bird(X)
& snail(Y) )
=> ~ eats(X,Y) ) ).
fof(pel47_14,axiom,
! [X] :
( ( caterpillar(X)
| snail(X) )
=> ? [Y] :
( plant(Y)
& eats(X,Y) ) ) ).
fof(pel47,conjecture,
? [X,Y] :
( animal(X)
& animal(Y)
& ? [Z] :
( grain(Z)
& eats(Y,Z)
& eats(X,Y) ) ) ).
fof(subgoal_0,plain,
? [X,Y] :
( animal(X)
& animal(Y)
& ? [Z] :
( grain(Z)
& eats(Y,Z)
& eats(X,Y) ) ),
inference(strip,[],[pel47]) ).
fof(negate_0_0,plain,
~ ? [X,Y] :
( animal(X)
& animal(Y)
& ? [Z] :
( grain(Z)
& eats(Y,Z)
& eats(X,Y) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ wolf(X)
| ( ~ fox(Y)
& ~ grain(Y) ) ),
inference(canonicalize,[],[pel47_11]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ wolf(X)
| ( ~ fox(Y)
& ~ grain(Y) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ eats(X,Y)
| ~ fox(Y)
| ~ wolf(X) )
& ( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ animal(X)
| ~ animal(Y)
| ! [Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ animal(X)
| ~ animal(Y)
| ! [Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y,Z] :
( ~ animal(X)
| ~ animal(Y)
| ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ bird(X)
| ~ eats(X,Y)
| ~ snail(Y) ),
inference(canonicalize,[],[pel47_13]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ bird(X)
| ~ eats(X,Y)
| ~ snail(Y) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
? [X] : grain(X),
inference(canonicalize,[],[pel47_6_1]) ).
fof(normalize_0_10,plain,
grain(skolemFOFtoCNF_X),
inference(skolemize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X1] :
( ~ grain(X1)
| plant(X1) ),
inference(canonicalize,[],[pel47_6_2]) ).
fof(normalize_0_12,plain,
! [X1] :
( ~ grain(X1)
| plant(X1) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
? [X1] : bird(X1),
inference(canonicalize,[],[pel47_3_2]) ).
fof(normalize_0_14,plain,
bird(skolemFOFtoCNF_X1_2),
inference(skolemize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
? [X1] : snail(X1),
inference(canonicalize,[],[pel47_5_2]) ).
fof(normalize_0_16,plain,
snail(skolemFOFtoCNF_X1_4),
inference(skolemize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ~ bird(Y)
| much_smaller(X,Y)
| ( ~ caterpillar(X)
& ~ snail(X) ) ),
inference(canonicalize,[],[pel47_8]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ bird(Y)
| much_smaller(X,Y)
| ( ~ caterpillar(X)
& ~ snail(X) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ( ~ bird(Y)
| ~ caterpillar(X)
| much_smaller(X,Y) )
& ( ~ bird(Y)
| ~ snail(X)
| much_smaller(X,Y) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ bird(Y)
| ~ snail(X)
| much_smaller(X,Y) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( ( ~ caterpillar(X)
& ~ snail(X) )
| ? [Y] :
( eats(X,Y)
& plant(Y) ) ),
inference(canonicalize,[],[pel47_14]) ).
fof(normalize_0_22,plain,
! [X] :
( ( ~ caterpillar(X)
& ~ snail(X) )
| ? [Y] :
( eats(X,Y)
& plant(Y) ) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X] :
( ( ~ caterpillar(X)
| eats(X,skolemFOFtoCNF_Y(X)) )
& ( ~ caterpillar(X)
| plant(skolemFOFtoCNF_Y(X)) )
& ( ~ snail(X)
| eats(X,skolemFOFtoCNF_Y(X)) )
& ( ~ snail(X)
| plant(skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ snail(X)
| eats(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X] :
( ~ animal(X)
| ! [Y] :
( ~ plant(Y)
| eats(X,Y) )
| ! [Y1] :
( ~ animal(Y1)
| ~ much_smaller(Y1,X)
| eats(X,Y1)
| ! [Z] :
( ~ eats(Y1,Z)
| ~ plant(Z) ) ) ),
inference(canonicalize,[],[pel47_7]) ).
fof(normalize_0_26,plain,
! [X] :
( ~ animal(X)
| ! [Y] :
( ~ plant(Y)
| eats(X,Y) )
| ! [Y1] :
( ~ animal(Y1)
| ~ much_smaller(Y1,X)
| eats(X,Y1)
| ! [Z] :
( ~ eats(Y1,Z)
| ~ plant(Z) ) ) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X,Y,Y1,Z] :
( ~ animal(X)
| ~ animal(Y1)
| ~ eats(Y1,Z)
| ~ much_smaller(Y1,X)
| ~ plant(Y)
| ~ plant(Z)
| eats(X,Y)
| eats(X,Y1) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X] :
( ~ snail(X)
| animal(X) ),
inference(canonicalize,[],[pel47_5_1]) ).
fof(normalize_0_29,plain,
! [X] :
( ~ snail(X)
| animal(X) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X] :
( ~ snail(X)
| plant(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_31,plain,
! [X] :
( ~ bird(X)
| animal(X) ),
inference(canonicalize,[],[pel47_3_1]) ).
fof(normalize_0_32,plain,
! [X] :
( ~ bird(X)
| animal(X) ),
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
? [X1] : fox(X1),
inference(canonicalize,[],[pel47_2_2]) ).
fof(normalize_0_34,plain,
fox(skolemFOFtoCNF_X1_1),
inference(skolemize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [X,Y] :
( ~ bird(X)
| ~ fox(Y)
| much_smaller(X,Y) ),
inference(canonicalize,[],[pel47_9]) ).
fof(normalize_0_36,plain,
! [X,Y] :
( ~ bird(X)
| ~ fox(Y)
| much_smaller(X,Y) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [X] :
( ~ fox(X)
| animal(X) ),
inference(canonicalize,[],[pel47_2_1]) ).
fof(normalize_0_38,plain,
! [X] :
( ~ fox(X)
| animal(X) ),
inference(specialize,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
? [X1] : wolf(X1),
inference(canonicalize,[],[pel47_1_2]) ).
fof(normalize_0_40,plain,
wolf(skolemFOFtoCNF_X1),
inference(skolemize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [X,Y] :
( ~ fox(X)
| ~ wolf(Y)
| much_smaller(X,Y) ),
inference(canonicalize,[],[pel47_10]) ).
fof(normalize_0_42,plain,
! [X,Y] :
( ~ fox(X)
| ~ wolf(Y)
| much_smaller(X,Y) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [X] :
( ~ wolf(X)
| animal(X) ),
inference(canonicalize,[],[pel47_1_1]) ).
fof(normalize_0_44,plain,
! [X] :
( ~ wolf(X)
| animal(X) ),
inference(specialize,[],[normalize_0_43]) ).
cnf(refute_0_0,plain,
( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X)
| ~ grain(skolemFOFtoCNF_X)
| ~ wolf(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X1)),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
( ~ animal(X)
| ~ animal(Y)
| ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ animal(X)
| ~ animal(skolemFOFtoCNF_X1_1)
| ~ eats(X,skolemFOFtoCNF_X1_1)
| ~ eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X)
| ~ grain(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_2:[bind(Y,$fot(skolemFOFtoCNF_X1_1)),bind(Z,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_4,plain,
( ~ animal(X)
| ~ animal(skolemFOFtoCNF_X1_2)
| ~ eats(X,skolemFOFtoCNF_X1_2)
| ~ eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X)
| ~ grain(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_2:[bind(Y,$fot(skolemFOFtoCNF_X1_2)),bind(Z,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
( ~ bird(X)
| ~ eats(X,Y)
| ~ snail(Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ bird(skolemFOFtoCNF_X1_2)
| ~ eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_4)
| ~ snail(skolemFOFtoCNF_X1_4) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X1_2)),bind(Y,$fot(skolemFOFtoCNF_X1_4))]]) ).
cnf(refute_0_7,plain,
grain(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ grain(X1)
| plant(X1) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ grain(skolemFOFtoCNF_X)
| plant(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_8:[bind(X1,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_10,plain,
plant(skolemFOFtoCNF_X),
inference(resolve,[$cnf( grain(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
bird(skolemFOFtoCNF_X1_2),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
snail(skolemFOFtoCNF_X1_4),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ bird(Y)
| ~ snail(X)
| much_smaller(X,Y) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_14,plain,
( ~ bird(X_15)
| ~ snail(skolemFOFtoCNF_X1_4)
| much_smaller(skolemFOFtoCNF_X1_4,X_15) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_X1_4)),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_15,plain,
( ~ bird(X_15)
| much_smaller(skolemFOFtoCNF_X1_4,X_15) ),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_X1_4) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ bird(skolemFOFtoCNF_X1_2)
| much_smaller(skolemFOFtoCNF_X1_4,skolemFOFtoCNF_X1_2) ),
inference(subst,[],[refute_0_15:[bind(X_15,$fot(skolemFOFtoCNF_X1_2))]]) ).
cnf(refute_0_17,plain,
much_smaller(skolemFOFtoCNF_X1_4,skolemFOFtoCNF_X1_2),
inference(resolve,[$cnf( bird(skolemFOFtoCNF_X1_2) )],[refute_0_11,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ snail(X)
| eats(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_19,plain,
( ~ snail(skolemFOFtoCNF_X1_4)
| eats(skolemFOFtoCNF_X1_4,skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4)) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(skolemFOFtoCNF_X1_4))]]) ).
cnf(refute_0_20,plain,
eats(skolemFOFtoCNF_X1_4,skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4)),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_X1_4) )],[refute_0_12,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ animal(X)
| ~ animal(Y1)
| ~ eats(Y1,Z)
| ~ much_smaller(Y1,X)
| ~ plant(Y)
| ~ plant(Z)
| eats(X,Y)
| eats(X,Y1) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_22,plain,
( ~ animal(X_38)
| ~ animal(skolemFOFtoCNF_X1_4)
| ~ eats(skolemFOFtoCNF_X1_4,skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4))
| ~ much_smaller(skolemFOFtoCNF_X1_4,X_38)
| ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4))
| eats(X_38,X_39)
| eats(X_38,skolemFOFtoCNF_X1_4) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_38)),bind(Y,$fot(X_39)),bind(Y1,$fot(skolemFOFtoCNF_X1_4)),bind(Z,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4)))]]) ).
cnf(refute_0_23,plain,
( ~ animal(X_38)
| ~ animal(skolemFOFtoCNF_X1_4)
| ~ much_smaller(skolemFOFtoCNF_X1_4,X_38)
| ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4))
| eats(X_38,X_39)
| eats(X_38,skolemFOFtoCNF_X1_4) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_X1_4,skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4)) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ snail(X)
| animal(X) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_25,plain,
( ~ snail(skolemFOFtoCNF_X1_4)
| animal(skolemFOFtoCNF_X1_4) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(skolemFOFtoCNF_X1_4))]]) ).
cnf(refute_0_26,plain,
animal(skolemFOFtoCNF_X1_4),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_X1_4) )],[refute_0_12,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ animal(X_38)
| ~ much_smaller(skolemFOFtoCNF_X1_4,X_38)
| ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4))
| eats(X_38,X_39)
| eats(X_38,skolemFOFtoCNF_X1_4) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1_4) )],[refute_0_26,refute_0_23]) ).
cnf(refute_0_28,plain,
( ~ snail(X)
| plant(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_29,plain,
( ~ snail(skolemFOFtoCNF_X1_4)
| plant(skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(skolemFOFtoCNF_X1_4))]]) ).
cnf(refute_0_30,plain,
plant(skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4)),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_X1_4) )],[refute_0_12,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ animal(X_38)
| ~ much_smaller(skolemFOFtoCNF_X1_4,X_38)
| ~ plant(X_39)
| eats(X_38,X_39)
| eats(X_38,skolemFOFtoCNF_X1_4) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_Y(skolemFOFtoCNF_X1_4)) )],[refute_0_30,refute_0_27]) ).
cnf(refute_0_32,plain,
( ~ animal(skolemFOFtoCNF_X1_2)
| ~ much_smaller(skolemFOFtoCNF_X1_4,skolemFOFtoCNF_X1_2)
| ~ plant(X_45)
| eats(skolemFOFtoCNF_X1_2,X_45)
| eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_4) ),
inference(subst,[],[refute_0_31:[bind(X_38,$fot(skolemFOFtoCNF_X1_2)),bind(X_39,$fot(X_45))]]) ).
cnf(refute_0_33,plain,
( ~ animal(skolemFOFtoCNF_X1_2)
| ~ plant(X_45)
| eats(skolemFOFtoCNF_X1_2,X_45)
| eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_4) ),
inference(resolve,[$cnf( much_smaller(skolemFOFtoCNF_X1_4,skolemFOFtoCNF_X1_2) )],[refute_0_17,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ bird(X)
| animal(X) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_35,plain,
( ~ bird(skolemFOFtoCNF_X1_2)
| animal(skolemFOFtoCNF_X1_2) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(skolemFOFtoCNF_X1_2))]]) ).
cnf(refute_0_36,plain,
animal(skolemFOFtoCNF_X1_2),
inference(resolve,[$cnf( bird(skolemFOFtoCNF_X1_2) )],[refute_0_11,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ plant(X_45)
| eats(skolemFOFtoCNF_X1_2,X_45)
| eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_4) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1_2) )],[refute_0_36,refute_0_33]) ).
cnf(refute_0_38,plain,
( ~ plant(skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_4) ),
inference(subst,[],[refute_0_37:[bind(X_45,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_39,plain,
( eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_4) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_X) )],[refute_0_10,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ bird(skolemFOFtoCNF_X1_2)
| ~ snail(skolemFOFtoCNF_X1_4)
| eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_4) )],[refute_0_39,refute_0_6]) ).
cnf(refute_0_41,plain,
( ~ snail(skolemFOFtoCNF_X1_4)
| eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( bird(skolemFOFtoCNF_X1_2) )],[refute_0_11,refute_0_40]) ).
cnf(refute_0_42,plain,
eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_X1_4) )],[refute_0_12,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ animal(X)
| ~ animal(skolemFOFtoCNF_X1_2)
| ~ eats(X,skolemFOFtoCNF_X1_2)
| ~ grain(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X) )],[refute_0_42,refute_0_4]) ).
cnf(refute_0_44,plain,
( ~ animal(X)
| ~ eats(X,skolemFOFtoCNF_X1_2)
| ~ grain(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1_2) )],[refute_0_36,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ animal(X)
| ~ eats(X,skolemFOFtoCNF_X1_2) ),
inference(resolve,[$cnf( grain(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ animal(skolemFOFtoCNF_X1_1)
| ~ eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_47,plain,
fox(skolemFOFtoCNF_X1_1),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_48,plain,
( ~ bird(X)
| ~ fox(Y)
| much_smaller(X,Y) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_49,plain,
( ~ bird(X_17)
| ~ fox(skolemFOFtoCNF_X1_1)
| much_smaller(X_17,skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_48:[bind(X,$fot(X_17)),bind(Y,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_50,plain,
( ~ bird(X_17)
| much_smaller(X_17,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( fox(skolemFOFtoCNF_X1_1) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ bird(skolemFOFtoCNF_X1_2)
| much_smaller(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_50:[bind(X_17,$fot(skolemFOFtoCNF_X1_2))]]) ).
cnf(refute_0_52,plain,
much_smaller(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( bird(skolemFOFtoCNF_X1_2) )],[refute_0_11,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ animal(skolemFOFtoCNF_X1_1)
| ~ animal(skolemFOFtoCNF_X1_2)
| ~ eats(skolemFOFtoCNF_X1_2,X_41)
| ~ much_smaller(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_1)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_X1_1,X_39)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(skolemFOFtoCNF_X1_1)),bind(Y,$fot(X_39)),bind(Y1,$fot(skolemFOFtoCNF_X1_2)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_54,plain,
( ~ animal(skolemFOFtoCNF_X1_1)
| ~ animal(skolemFOFtoCNF_X1_2)
| ~ eats(skolemFOFtoCNF_X1_2,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_X1_1,X_39)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(resolve,[$cnf( much_smaller(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X1_1) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( ~ fox(X)
| animal(X) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_56,plain,
( ~ fox(skolemFOFtoCNF_X1_1)
| animal(skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_57,plain,
animal(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( fox(skolemFOFtoCNF_X1_1) )],[refute_0_47,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ animal(skolemFOFtoCNF_X1_2)
| ~ eats(skolemFOFtoCNF_X1_2,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_X1_1,X_39)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1_1) )],[refute_0_57,refute_0_54]) ).
cnf(refute_0_59,plain,
( ~ eats(skolemFOFtoCNF_X1_2,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_X1_1,X_39)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1_2) )],[refute_0_36,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X)
| ~ plant(X_51)
| ~ plant(skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1_1,X_51)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(subst,[],[refute_0_59:[bind(X_39,$fot(X_51)),bind(X_41,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_61,plain,
( ~ plant(X_51)
| ~ plant(skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1_1,X_51)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_X1_2,skolemFOFtoCNF_X) )],[refute_0_42,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ plant(X_51)
| eats(skolemFOFtoCNF_X1_1,X_51)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_X) )],[refute_0_10,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ plant(skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(subst,[],[refute_0_62:[bind(X_51,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_64,plain,
( eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_X) )],[refute_0_10,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ animal(skolemFOFtoCNF_X1_1)
| eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1_2) )],[refute_0_64,refute_0_46]) ).
cnf(refute_0_66,plain,
eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1_1) )],[refute_0_57,refute_0_65]) ).
cnf(refute_0_67,plain,
( ~ animal(X)
| ~ animal(skolemFOFtoCNF_X1_1)
| ~ eats(X,skolemFOFtoCNF_X1_1)
| ~ grain(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X) )],[refute_0_66,refute_0_3]) ).
cnf(refute_0_68,plain,
( ~ animal(X)
| ~ eats(X,skolemFOFtoCNF_X1_1)
| ~ grain(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1_1) )],[refute_0_57,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ animal(X)
| ~ eats(X,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( grain(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ animal(skolemFOFtoCNF_X1)
| ~ eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_69:[bind(X,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_71,plain,
wolf(skolemFOFtoCNF_X1),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_72,plain,
( ~ fox(X)
| ~ wolf(Y)
| much_smaller(X,Y) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_73,plain,
( ~ fox(X_20)
| ~ wolf(skolemFOFtoCNF_X1)
| much_smaller(X_20,skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_72:[bind(X,$fot(X_20)),bind(Y,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_74,plain,
( ~ fox(X_20)
| much_smaller(X_20,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( wolf(skolemFOFtoCNF_X1) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ fox(skolemFOFtoCNF_X1_1)
| much_smaller(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_74:[bind(X_20,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_76,plain,
much_smaller(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( fox(skolemFOFtoCNF_X1_1) )],[refute_0_47,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ animal(skolemFOFtoCNF_X1)
| ~ animal(skolemFOFtoCNF_X1_1)
| ~ eats(skolemFOFtoCNF_X1_1,X_41)
| ~ much_smaller(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_X1,X_39)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(skolemFOFtoCNF_X1)),bind(Y,$fot(X_39)),bind(Y1,$fot(skolemFOFtoCNF_X1_1)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_78,plain,
( ~ animal(skolemFOFtoCNF_X1)
| ~ animal(skolemFOFtoCNF_X1_1)
| ~ eats(skolemFOFtoCNF_X1_1,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_X1,X_39)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( much_smaller(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( ~ wolf(X)
| animal(X) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_80,plain,
( ~ wolf(skolemFOFtoCNF_X1)
| animal(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_79:[bind(X,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_81,plain,
animal(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( wolf(skolemFOFtoCNF_X1) )],[refute_0_71,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ animal(skolemFOFtoCNF_X1_1)
| ~ eats(skolemFOFtoCNF_X1_1,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_X1,X_39)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1) )],[refute_0_81,refute_0_78]) ).
cnf(refute_0_83,plain,
( ~ eats(skolemFOFtoCNF_X1_1,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_X1,X_39)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1_1) )],[refute_0_57,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X)
| ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1,X_39)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_83:[bind(X_41,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_85,plain,
( ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1,X_39)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X) )],[refute_0_66,refute_0_84]) ).
cnf(refute_0_86,plain,
( ~ plant(X_39)
| eats(skolemFOFtoCNF_X1,X_39)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_X) )],[refute_0_10,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ plant(skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_86:[bind(X_39,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_88,plain,
( eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_X) )],[refute_0_10,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ animal(skolemFOFtoCNF_X1)
| eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1_1) )],[refute_0_88,refute_0_70]) ).
cnf(refute_0_90,plain,
eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_X1) )],[refute_0_81,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ grain(skolemFOFtoCNF_X)
| ~ wolf(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_X1,skolemFOFtoCNF_X) )],[refute_0_90,refute_0_1]) ).
cnf(refute_0_92,plain,
~ wolf(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( grain(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_91]) ).
cnf(refute_0_93,plain,
$false,
inference(resolve,[$cnf( wolf(skolemFOFtoCNF_X1) )],[refute_0_71,refute_0_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat May 28 23:32:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------