TSTP Solution File: PUZ031+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 0.21s 0.38s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 19
% Syntax : Number of formulae : 159 ( 33 unt; 0 def)
% Number of atoms : 474 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 563 ( 248 ~; 275 |; 25 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 173 ( 0 sgn 81 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wolf_type,axiom,
? [A] : wolf(A) ).
fof(fox_type,axiom,
? [A] : fox(A) ).
fof(bird_type,axiom,
? [A] : bird(A) ).
fof(snail_type,axiom,
? [A] : snail(A) ).
fof(pel47_1_1,axiom,
! [X] :
( wolf(X)
=> animal(X) ) ).
fof(pel47_2_1,axiom,
! [X] :
( fox(X)
=> animal(X) ) ).
fof(pel47_3_1,axiom,
! [X] :
( bird(X)
=> animal(X) ) ).
fof(pel47_4_2,axiom,
! [X] :
( snail(X)
=> animal(X) ) ).
fof(grain_type,axiom,
? [A] : grain(A) ).
fof(pel47_6_2,axiom,
! [X] :
( grain(X)
=> plant(X) ) ).
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,
! [Y,X] :
( ( bird(Y)
& snail(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) )
=> ~ eats(X,Y) ) ).
fof(pel47_11a,axiom,
! [X,Y] :
( ( wolf(X)
& grain(Y) )
=> ~ eats(X,Y) ) ).
fof(pel47_13,axiom,
! [X,Y] :
( ( bird(X)
& snail(Y) )
=> ~ eats(X,Y) ) ).
fof(pel47_14a,axiom,
! [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)
| ~ fox(Y)
| ~ wolf(X) ),
inference(canonicalize,[],[pel47_11]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ fox(Y)
| ~ wolf(X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ),
inference(canonicalize,[],[pel47_11a]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ bird(X)
| ~ eats(X,Y)
| ~ snail(Y) ),
inference(canonicalize,[],[pel47_13]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ bird(X)
| ~ eats(X,Y)
| ~ snail(Y) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ animal(X)
| ~ animal(Y)
| ! [Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ animal(X)
| ~ animal(Y)
| ! [Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y,Z] :
( ~ animal(X)
| ~ animal(Y)
| ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
? [A] : grain(A),
inference(canonicalize,[],[grain_type]) ).
fof(normalize_0_10,plain,
grain(skolemFOFtoCNF_A_5),
inference(skolemize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ grain(X)
| plant(X) ),
inference(canonicalize,[],[pel47_6_2]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ grain(X)
| plant(X) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
? [A] : bird(A),
inference(canonicalize,[],[bird_type]) ).
fof(normalize_0_14,plain,
bird(skolemFOFtoCNF_A_2),
inference(skolemize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
? [A] : snail(A),
inference(canonicalize,[],[snail_type]) ).
fof(normalize_0_16,plain,
snail(skolemFOFtoCNF_A_4),
inference(skolemize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ~ bird(Y)
| ~ snail(X)
| much_smaller(X,Y) ),
inference(canonicalize,[],[pel47_8]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ bird(Y)
| ~ snail(X)
| much_smaller(X,Y) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ snail(X)
| ? [Y] :
( eats(X,Y)
& plant(Y) ) ),
inference(canonicalize,[],[pel47_14a]) ).
fof(normalize_0_20,plain,
! [X] :
( ~ snail(X)
| ? [Y] :
( eats(X,Y)
& plant(Y) ) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( ( ~ snail(X)
| eats(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ snail(X)
| plant(skolemFOFtoCNF_Y_1(X)) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ snail(X)
| eats(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,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_24,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_23]) ).
fof(normalize_0_25,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_24]) ).
fof(normalize_0_26,plain,
! [X] :
( ~ snail(X)
| animal(X) ),
inference(canonicalize,[],[pel47_4_2]) ).
fof(normalize_0_27,plain,
! [X] :
( ~ snail(X)
| animal(X) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X] :
( ~ snail(X)
| plant(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_29,plain,
! [X] :
( ~ bird(X)
| animal(X) ),
inference(canonicalize,[],[pel47_3_1]) ).
fof(normalize_0_30,plain,
! [X] :
( ~ bird(X)
| animal(X) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
? [A] : fox(A),
inference(canonicalize,[],[fox_type]) ).
fof(normalize_0_32,plain,
fox(skolemFOFtoCNF_A_1),
inference(skolemize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
? [A] : wolf(A),
inference(canonicalize,[],[wolf_type]) ).
fof(normalize_0_34,plain,
wolf(skolemFOFtoCNF_A),
inference(skolemize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [X,Y] :
( ~ fox(X)
| ~ wolf(Y)
| much_smaller(X,Y) ),
inference(canonicalize,[],[pel47_10]) ).
fof(normalize_0_36,plain,
! [X,Y] :
( ~ fox(X)
| ~ wolf(Y)
| much_smaller(X,Y) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [X] :
( ~ wolf(X)
| animal(X) ),
inference(canonicalize,[],[pel47_1_1]) ).
fof(normalize_0_38,plain,
! [X] :
( ~ wolf(X)
| animal(X) ),
inference(specialize,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [X] :
( ~ fox(X)
| animal(X) ),
inference(canonicalize,[],[pel47_2_1]) ).
fof(normalize_0_40,plain,
! [X] :
( ~ fox(X)
| animal(X) ),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [X,Y] :
( ~ bird(X)
| ~ fox(Y)
| much_smaller(X,Y) ),
inference(canonicalize,[],[pel47_9]) ).
fof(normalize_0_42,plain,
! [X,Y] :
( ~ bird(X)
| ~ fox(Y)
| much_smaller(X,Y) ),
inference(specialize,[],[normalize_0_41]) ).
cnf(refute_0_0,plain,
( ~ eats(X,Y)
| ~ fox(Y)
| ~ wolf(X) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| ~ fox(skolemFOFtoCNF_A_1)
| ~ wolf(skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_A)),bind(Y,$fot(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_0_2,plain,
( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_5)
| ~ grain(skolemFOFtoCNF_A_5)
| ~ wolf(skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_A)),bind(Y,$fot(skolemFOFtoCNF_A_5))]]) ).
cnf(refute_0_4,plain,
( ~ bird(X)
| ~ eats(X,Y)
| ~ snail(Y) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ bird(skolemFOFtoCNF_A_2)
| ~ eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4)
| ~ snail(skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_A_2)),bind(Y,$fot(skolemFOFtoCNF_A_4))]]) ).
cnf(refute_0_6,plain,
( ~ animal(X)
| ~ animal(Y)
| ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ animal(X)
| ~ animal(skolemFOFtoCNF_A_2)
| ~ eats(X,skolemFOFtoCNF_A_2)
| ~ eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_5)
| ~ grain(skolemFOFtoCNF_A_5) ),
inference(subst,[],[refute_0_6:[bind(Y,$fot(skolemFOFtoCNF_A_2)),bind(Z,$fot(skolemFOFtoCNF_A_5))]]) ).
cnf(refute_0_8,plain,
grain(skolemFOFtoCNF_A_5),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( ~ grain(X)
| plant(X) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ grain(skolemFOFtoCNF_A_5)
| plant(skolemFOFtoCNF_A_5) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(skolemFOFtoCNF_A_5))]]) ).
cnf(refute_0_11,plain,
plant(skolemFOFtoCNF_A_5),
inference(resolve,[$cnf( grain(skolemFOFtoCNF_A_5) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
bird(skolemFOFtoCNF_A_2),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
snail(skolemFOFtoCNF_A_4),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
( ~ bird(Y)
| ~ snail(X)
| much_smaller(X,Y) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_15,plain,
( ~ bird(X_12)
| ~ snail(skolemFOFtoCNF_A_4)
| much_smaller(skolemFOFtoCNF_A_4,X_12) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(skolemFOFtoCNF_A_4)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_16,plain,
( ~ bird(X_12)
| much_smaller(skolemFOFtoCNF_A_4,X_12) ),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_A_4) )],[refute_0_13,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ bird(skolemFOFtoCNF_A_2)
| much_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_A_2) ),
inference(subst,[],[refute_0_16:[bind(X_12,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_18,plain,
much_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_A_2),
inference(resolve,[$cnf( bird(skolemFOFtoCNF_A_2) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ snail(X)
| eats(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ snail(skolemFOFtoCNF_A_4)
| eats(skolemFOFtoCNF_A_4,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(skolemFOFtoCNF_A_4))]]) ).
cnf(refute_0_21,plain,
eats(skolemFOFtoCNF_A_4,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4)),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_A_4) )],[refute_0_13,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ animal(X)
| ~ animal(Y1)
| ~ eats(Y1,Z)
| ~ much_smaller(Y1,X)
| ~ plant(Y)
| ~ plant(Z)
| eats(X,Y)
| eats(X,Y1) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_23,plain,
( ~ animal(X_38)
| ~ animal(skolemFOFtoCNF_A_4)
| ~ eats(skolemFOFtoCNF_A_4,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4))
| ~ much_smaller(skolemFOFtoCNF_A_4,X_38)
| ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4))
| eats(X_38,X_39)
| eats(X_38,skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(X_38)),bind(Y,$fot(X_39)),bind(Y1,$fot(skolemFOFtoCNF_A_4)),bind(Z,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4)))]]) ).
cnf(refute_0_24,plain,
( ~ animal(X_38)
| ~ animal(skolemFOFtoCNF_A_4)
| ~ much_smaller(skolemFOFtoCNF_A_4,X_38)
| ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4))
| eats(X_38,X_39)
| eats(X_38,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_A_4,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4)) )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ snail(X)
| animal(X) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_26,plain,
( ~ snail(skolemFOFtoCNF_A_4)
| animal(skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(skolemFOFtoCNF_A_4))]]) ).
cnf(refute_0_27,plain,
animal(skolemFOFtoCNF_A_4),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_A_4) )],[refute_0_13,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ animal(X_38)
| ~ much_smaller(skolemFOFtoCNF_A_4,X_38)
| ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4))
| eats(X_38,X_39)
| eats(X_38,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_A_4) )],[refute_0_27,refute_0_24]) ).
cnf(refute_0_29,plain,
( ~ snail(X)
| plant(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_30,plain,
( ~ snail(skolemFOFtoCNF_A_4)
| plant(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(skolemFOFtoCNF_A_4))]]) ).
cnf(refute_0_31,plain,
plant(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4)),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_A_4) )],[refute_0_13,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ animal(X_38)
| ~ much_smaller(skolemFOFtoCNF_A_4,X_38)
| ~ plant(X_39)
| eats(X_38,X_39)
| eats(X_38,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_A_4)) )],[refute_0_31,refute_0_28]) ).
cnf(refute_0_33,plain,
( ~ animal(skolemFOFtoCNF_A_2)
| ~ much_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_A_2)
| ~ plant(X_45)
| eats(skolemFOFtoCNF_A_2,X_45)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_32:[bind(X_38,$fot(skolemFOFtoCNF_A_2)),bind(X_39,$fot(X_45))]]) ).
cnf(refute_0_34,plain,
( ~ animal(skolemFOFtoCNF_A_2)
| ~ plant(X_45)
| eats(skolemFOFtoCNF_A_2,X_45)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( much_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_A_2) )],[refute_0_18,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ bird(X)
| animal(X) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_36,plain,
( ~ bird(skolemFOFtoCNF_A_2)
| animal(skolemFOFtoCNF_A_2) ),
inference(subst,[],[refute_0_35:[bind(X,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_37,plain,
animal(skolemFOFtoCNF_A_2),
inference(resolve,[$cnf( bird(skolemFOFtoCNF_A_2) )],[refute_0_12,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ plant(X_45)
| eats(skolemFOFtoCNF_A_2,X_45)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_A_2) )],[refute_0_37,refute_0_34]) ).
cnf(refute_0_39,plain,
( ~ plant(skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_5) ),
inference(subst,[],[refute_0_38:[bind(X_45,$fot(skolemFOFtoCNF_A_5))]]) ).
cnf(refute_0_40,plain,
( eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_5) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_A_5) )],[refute_0_11,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ animal(X)
| ~ animal(skolemFOFtoCNF_A_2)
| ~ eats(X,skolemFOFtoCNF_A_2)
| ~ grain(skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_5) )],[refute_0_40,refute_0_7]) ).
cnf(refute_0_42,plain,
( ~ animal(X)
| ~ eats(X,skolemFOFtoCNF_A_2)
| ~ grain(skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_A_2) )],[refute_0_37,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ animal(X)
| ~ eats(X,skolemFOFtoCNF_A_2)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( grain(skolemFOFtoCNF_A_5) )],[refute_0_8,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ animal(skolemFOFtoCNF_A_1)
| ~ eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_0_45,plain,
fox(skolemFOFtoCNF_A_1),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_46,plain,
wolf(skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_47,plain,
( ~ fox(X)
| ~ wolf(Y)
| much_smaller(X,Y) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_48,plain,
( ~ fox(X_20)
| ~ wolf(skolemFOFtoCNF_A)
| much_smaller(X_20,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(X_20)),bind(Y,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_49,plain,
( ~ fox(X_20)
| much_smaller(X_20,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( wolf(skolemFOFtoCNF_A) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ fox(skolemFOFtoCNF_A_1)
| much_smaller(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_49:[bind(X_20,$fot(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_0_51,plain,
much_smaller(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( fox(skolemFOFtoCNF_A_1) )],[refute_0_45,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ animal(skolemFOFtoCNF_A)
| ~ animal(skolemFOFtoCNF_A_1)
| ~ eats(skolemFOFtoCNF_A_1,X_41)
| ~ much_smaller(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_A,X_39)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_A)),bind(Y,$fot(X_39)),bind(Y1,$fot(skolemFOFtoCNF_A_1)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_53,plain,
( ~ animal(skolemFOFtoCNF_A)
| ~ animal(skolemFOFtoCNF_A_1)
| ~ eats(skolemFOFtoCNF_A_1,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_A,X_39)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1) ),
inference(resolve,[$cnf( much_smaller(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ wolf(X)
| animal(X) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_55,plain,
( ~ wolf(skolemFOFtoCNF_A)
| animal(skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_54:[bind(X,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_56,plain,
animal(skolemFOFtoCNF_A),
inference(resolve,[$cnf( wolf(skolemFOFtoCNF_A) )],[refute_0_46,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ animal(skolemFOFtoCNF_A_1)
| ~ eats(skolemFOFtoCNF_A_1,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_A,X_39)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_A) )],[refute_0_56,refute_0_53]) ).
cnf(refute_0_58,plain,
( ~ fox(X)
| animal(X) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_59,plain,
( ~ fox(skolemFOFtoCNF_A_1)
| animal(skolemFOFtoCNF_A_1) ),
inference(subst,[],[refute_0_58:[bind(X,$fot(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_0_60,plain,
animal(skolemFOFtoCNF_A_1),
inference(resolve,[$cnf( fox(skolemFOFtoCNF_A_1) )],[refute_0_45,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ eats(skolemFOFtoCNF_A_1,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_A,X_39)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_A_1) )],[refute_0_60,refute_0_57]) ).
cnf(refute_0_62,plain,
( ~ eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_5)
| ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A,X_39)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1) ),
inference(subst,[],[refute_0_61:[bind(X_41,$fot(skolemFOFtoCNF_A_5))]]) ).
cnf(refute_0_63,plain,
( ~ bird(X)
| ~ fox(Y)
| much_smaller(X,Y) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_64,plain,
( ~ bird(X_17)
| ~ fox(skolemFOFtoCNF_A_1)
| much_smaller(X_17,skolemFOFtoCNF_A_1) ),
inference(subst,[],[refute_0_63:[bind(X,$fot(X_17)),bind(Y,$fot(skolemFOFtoCNF_A_1))]]) ).
cnf(refute_0_65,plain,
( ~ bird(X_17)
| much_smaller(X_17,skolemFOFtoCNF_A_1) ),
inference(resolve,[$cnf( fox(skolemFOFtoCNF_A_1) )],[refute_0_45,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ bird(skolemFOFtoCNF_A_2)
| much_smaller(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_1) ),
inference(subst,[],[refute_0_65:[bind(X_17,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_67,plain,
much_smaller(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_1),
inference(resolve,[$cnf( bird(skolemFOFtoCNF_A_2) )],[refute_0_12,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ animal(skolemFOFtoCNF_A_1)
| ~ animal(skolemFOFtoCNF_A_2)
| ~ eats(skolemFOFtoCNF_A_2,X_41)
| ~ much_smaller(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_1)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_A_1,X_39)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_A_1)),bind(Y,$fot(X_39)),bind(Y1,$fot(skolemFOFtoCNF_A_2)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_69,plain,
( ~ animal(skolemFOFtoCNF_A_1)
| ~ animal(skolemFOFtoCNF_A_2)
| ~ eats(skolemFOFtoCNF_A_2,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_A_1,X_39)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) ),
inference(resolve,[$cnf( much_smaller(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_1) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ animal(skolemFOFtoCNF_A_2)
| ~ eats(skolemFOFtoCNF_A_2,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_A_1,X_39)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_A_1) )],[refute_0_60,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ eats(skolemFOFtoCNF_A_2,X_41)
| ~ plant(X_39)
| ~ plant(X_41)
| eats(skolemFOFtoCNF_A_1,X_39)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_A_2) )],[refute_0_37,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_5)
| ~ plant(X_50)
| ~ plant(skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_1,X_50)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) ),
inference(subst,[],[refute_0_71:[bind(X_39,$fot(X_50)),bind(X_41,$fot(skolemFOFtoCNF_A_5))]]) ).
cnf(refute_0_73,plain,
( ~ plant(X_50)
| ~ plant(skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_1,X_50)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_5) )],[refute_0_40,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ plant(X_50)
| eats(skolemFOFtoCNF_A_1,X_50)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_A_5) )],[refute_0_11,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ plant(skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_74:[bind(X_50,$fot(skolemFOFtoCNF_A_5))]]) ).
cnf(refute_0_76,plain,
( eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_A_5) )],[refute_0_11,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ bird(skolemFOFtoCNF_A_2)
| ~ snail(skolemFOFtoCNF_A_4)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_5) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) )],[refute_0_76,refute_0_5]) ).
cnf(refute_0_78,plain,
( ~ snail(skolemFOFtoCNF_A_4)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_5) ),
inference(resolve,[$cnf( bird(skolemFOFtoCNF_A_2) )],[refute_0_12,refute_0_77]) ).
cnf(refute_0_79,plain,
( eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_5) ),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_A_4) )],[refute_0_13,refute_0_78]) ).
cnf(refute_0_80,plain,
( ~ plant(X_39)
| ~ plant(skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A,X_39)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_5) )],[refute_0_79,refute_0_62]) ).
cnf(refute_0_81,plain,
( ~ plant(X_39)
| eats(skolemFOFtoCNF_A,X_39)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_A_5) )],[refute_0_11,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ plant(skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) ),
inference(subst,[],[refute_0_81:[bind(X_39,$fot(skolemFOFtoCNF_A_5))]]) ).
cnf(refute_0_83,plain,
( eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) ),
inference(resolve,[$cnf( plant(skolemFOFtoCNF_A_5) )],[refute_0_11,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ animal(skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_A_1,skolemFOFtoCNF_A_2) )],[refute_0_83,refute_0_44]) ).
cnf(refute_0_85,plain,
( eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_5)
| eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( animal(skolemFOFtoCNF_A_1) )],[refute_0_60,refute_0_84]) ).
cnf(refute_0_86,plain,
( ~ bird(skolemFOFtoCNF_A_2)
| ~ snail(skolemFOFtoCNF_A_4)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_5) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_4) )],[refute_0_85,refute_0_5]) ).
cnf(refute_0_87,plain,
( ~ snail(skolemFOFtoCNF_A_4)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_5) ),
inference(resolve,[$cnf( bird(skolemFOFtoCNF_A_2) )],[refute_0_12,refute_0_86]) ).
cnf(refute_0_88,plain,
( eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_5) ),
inference(resolve,[$cnf( snail(skolemFOFtoCNF_A_4) )],[refute_0_13,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ grain(skolemFOFtoCNF_A_5)
| ~ wolf(skolemFOFtoCNF_A)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_5) )],[refute_0_88,refute_0_3]) ).
cnf(refute_0_90,plain,
( ~ wolf(skolemFOFtoCNF_A)
| eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1) ),
inference(resolve,[$cnf( grain(skolemFOFtoCNF_A_5) )],[refute_0_8,refute_0_89]) ).
cnf(refute_0_91,plain,
eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1),
inference(resolve,[$cnf( wolf(skolemFOFtoCNF_A) )],[refute_0_46,refute_0_90]) ).
cnf(refute_0_92,plain,
( ~ fox(skolemFOFtoCNF_A_1)
| ~ wolf(skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_A,skolemFOFtoCNF_A_1) )],[refute_0_91,refute_0_1]) ).
cnf(refute_0_93,plain,
~ wolf(skolemFOFtoCNF_A),
inference(resolve,[$cnf( fox(skolemFOFtoCNF_A_1) )],[refute_0_45,refute_0_92]) ).
cnf(refute_0_94,plain,
$false,
inference(resolve,[$cnf( wolf(skolemFOFtoCNF_A) )],[refute_0_46,refute_0_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat May 28 22:04:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.38
% 0.21/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.39
%------------------------------------------------------------------------------