%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ128+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 18:21:01 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 123 ( 53 unt; 0 def)
% Number of atoms : 382 ( 122 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 457 ( 198 ~; 186 |; 73 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-1 aty)
% Number of variables : 83 ( 0 sgn 24 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(background,axiom,
? [A,B,C,D,E] :
( parent(A)
& relation(A,of,'Oedipus')
& 'Iokaste' = A
& parent(B)
& relation(B,of,'Polyneikes')
& 'Iokaste' = B
& parent(C)
& relation(C,of,'Polyneikes')
& 'Oedipus' = C
& parent(D)
& relation(D,of,'Thersandros')
& 'Polyneikes' = D
& patricide(E)
& 'Oedipus' = E
& ~ ? [F] :
( patricide(F)
& 'Thersandros' = F ) ) ).
fof(prove,conjecture,
? [A,B,C,D] :
( parent(A)
& patricide(B)
& parent(C)
& $true
& ~ ? [E] :
( patricide(E)
& D = E )
& relation(C,of,D)
& B = C
& relation(A,of,B)
& 'Iokaste' = A ) ).
fof(subgoal_0,plain,
? [A,B,C,D] :
( parent(A)
& patricide(B)
& parent(C)
& $true
& ~ ? [E] :
( patricide(E)
& D = E )
& relation(C,of,D)
& B = C
& relation(A,of,B)
& 'Iokaste' = A ),
inference(strip,[],[prove]) ).
fof(negate_0_0,plain,
~ ? [A,B,C,D] :
( parent(A)
& patricide(B)
& parent(C)
& $true
& ~ ? [E] :
( patricide(E)
& D = E )
& relation(C,of,D)
& B = C
& relation(A,of,B)
& 'Iokaste' = A ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E] :
( 'Iokaste' = A
& 'Iokaste' = B
& 'Oedipus' = C
& 'Oedipus' = E
& 'Polyneikes' = D
& parent(A)
& parent(B)
& parent(C)
& parent(D)
& patricide(E)
& relation(A,of,'Oedipus')
& relation(B,of,'Polyneikes')
& relation(C,of,'Polyneikes')
& relation(D,of,'Thersandros')
& ! [F] :
( 'Thersandros' != F
| ~ patricide(F) ) ),
inference(canonicalize,[],[background]) ).
fof(normalize_0_1,plain,
( 'Iokaste' = skolemFOFtoCNF_A
& 'Iokaste' = skolemFOFtoCNF_B
& 'Oedipus' = skolemFOFtoCNF_C
& 'Oedipus' = skolemFOFtoCNF_E
& 'Polyneikes' = skolemFOFtoCNF_D
& parent(skolemFOFtoCNF_A)
& parent(skolemFOFtoCNF_B)
& parent(skolemFOFtoCNF_C)
& parent(skolemFOFtoCNF_D)
& patricide(skolemFOFtoCNF_E)
& relation(skolemFOFtoCNF_A,of,'Oedipus')
& relation(skolemFOFtoCNF_B,of,'Polyneikes')
& relation(skolemFOFtoCNF_C,of,'Polyneikes')
& relation(skolemFOFtoCNF_D,of,'Thersandros')
& ! [F] :
( 'Thersandros' != F
| ~ patricide(F) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
relation(skolemFOFtoCNF_D,of,'Thersandros'),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
'Polyneikes' = skolemFOFtoCNF_D,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( B != C
| 'Iokaste' != A
| ~ parent(A)
| ~ parent(C)
| ~ patricide(B)
| ~ relation(A,of,B)
| ~ relation(C,of,D)
| ? [E] :
( D = E
& patricide(E) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( B != C
| 'Iokaste' != A
| ~ parent(A)
| ~ parent(C)
| ~ patricide(B)
| ~ relation(A,of,B)
| ~ relation(C,of,D)
| ? [E] :
( D = E
& patricide(E) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ( B != C
| 'Iokaste' != A
| ~ parent(A)
| ~ parent(C)
| ~ patricide(B)
| ~ relation(A,of,B)
| ~ relation(C,of,D)
| D = skolemFOFtoCNF_E_1(D) )
& ( B != C
| 'Iokaste' != A
| ~ parent(A)
| ~ parent(C)
| ~ patricide(B)
| ~ relation(A,of,B)
| ~ relation(C,of,D)
| patricide(skolemFOFtoCNF_E_1(D)) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( B != C
| 'Iokaste' != A
| ~ parent(A)
| ~ parent(C)
| ~ patricide(B)
| ~ relation(A,of,B)
| ~ relation(C,of,D)
| patricide(skolemFOFtoCNF_E_1(D)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
parent(skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
'Iokaste' = skolemFOFtoCNF_A,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
parent(skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
relation(skolemFOFtoCNF_B,of,'Polyneikes'),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
'Iokaste' = skolemFOFtoCNF_B,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
relation(skolemFOFtoCNF_C,of,'Polyneikes'),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_14,plain,
'Oedipus' = skolemFOFtoCNF_C,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
parent(skolemFOFtoCNF_C),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
patricide(skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_17,plain,
'Oedipus' = skolemFOFtoCNF_E,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_18,plain,
relation(skolemFOFtoCNF_A,of,'Oedipus'),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( B != C
| 'Iokaste' != A
| ~ parent(A)
| ~ parent(C)
| ~ patricide(B)
| ~ relation(A,of,B)
| ~ relation(C,of,D)
| D = skolemFOFtoCNF_E_1(D) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_20,plain,
! [F] :
( 'Thersandros' != F
| ~ patricide(F) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_21,plain,
! [F] :
( 'Thersandros' != F
| ~ patricide(F) ),
inference(specialize,[],[normalize_0_20]) ).
cnf(refute_0_0,plain,
relation(skolemFOFtoCNF_D,of,'Thersandros'),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
'Polyneikes' = skolemFOFtoCNF_D,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( 'Polyneikes' != skolemFOFtoCNF_D
| skolemFOFtoCNF_D = 'Polyneikes' ),
inference(subst,[],[refute_0_4:[bind(X,$fot('Polyneikes')),bind(Y,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_6,plain,
skolemFOFtoCNF_D = 'Polyneikes',
inference(resolve,[$cnf( $equal('Polyneikes',skolemFOFtoCNF_D) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( skolemFOFtoCNF_D != 'Polyneikes'
| ~ relation(skolemFOFtoCNF_D,of,'Thersandros')
| relation('Polyneikes',of,'Thersandros') ),
introduced(tautology,[equality,[$cnf( relation(skolemFOFtoCNF_D,of,'Thersandros') ),[0],$fot('Polyneikes')]]) ).
cnf(refute_0_8,plain,
( ~ relation(skolemFOFtoCNF_D,of,'Thersandros')
| relation('Polyneikes',of,'Thersandros') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D,'Polyneikes') )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
relation('Polyneikes',of,'Thersandros'),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_D,of,'Thersandros') )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
( B != C
| 'Iokaste' != A
| ~ parent(A)
| ~ parent(C)
| ~ patricide(B)
| ~ relation(A,of,B)
| ~ relation(C,of,D)
| patricide(skolemFOFtoCNF_E_1(D)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_11,plain,
( C != C
| 'Iokaste' != 'Iokaste'
| ~ parent(C)
| ~ parent('Iokaste')
| ~ patricide(C)
| ~ relation(C,of,D)
| ~ relation('Iokaste',of,C)
| patricide(skolemFOFtoCNF_E_1(D)) ),
inference(subst,[],[refute_0_10:[bind(A,$fot('Iokaste')),bind(B,$fot(C))]]) ).
cnf(refute_0_12,plain,
C = C,
introduced(tautology,[refl,[$fot(C)]]) ).
cnf(refute_0_13,plain,
( 'Iokaste' != 'Iokaste'
| ~ parent(C)
| ~ parent('Iokaste')
| ~ patricide(C)
| ~ relation(C,of,D)
| ~ relation('Iokaste',of,C)
| patricide(skolemFOFtoCNF_E_1(D)) ),
inference(resolve,[$cnf( $equal(C,C) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
'Iokaste' = 'Iokaste',
introduced(tautology,[refl,[$fot('Iokaste')]]) ).
cnf(refute_0_15,plain,
( ~ parent(C)
| ~ parent('Iokaste')
| ~ patricide(C)
| ~ relation(C,of,D)
| ~ relation('Iokaste',of,C)
| patricide(skolemFOFtoCNF_E_1(D)) ),
inference(resolve,[$cnf( $equal('Iokaste','Iokaste') )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
parent(skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_17,plain,
'Iokaste' = skolemFOFtoCNF_A,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_18,plain,
( 'Iokaste' != skolemFOFtoCNF_A
| skolemFOFtoCNF_A = 'Iokaste' ),
inference(subst,[],[refute_0_4:[bind(X,$fot('Iokaste')),bind(Y,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_19,plain,
skolemFOFtoCNF_A = 'Iokaste',
inference(resolve,[$cnf( $equal('Iokaste',skolemFOFtoCNF_A) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( skolemFOFtoCNF_A != 'Iokaste'
| ~ parent(skolemFOFtoCNF_A)
| parent('Iokaste') ),
introduced(tautology,[equality,[$cnf( parent(skolemFOFtoCNF_A) ),[0],$fot('Iokaste')]]) ).
cnf(refute_0_21,plain,
( ~ parent(skolemFOFtoCNF_A)
| parent('Iokaste') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A,'Iokaste') )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
parent('Iokaste'),
inference(resolve,[$cnf( parent(skolemFOFtoCNF_A) )],[refute_0_16,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ parent(C)
| ~ patricide(C)
| ~ relation(C,of,D)
| ~ relation('Iokaste',of,C)
| patricide(skolemFOFtoCNF_E_1(D)) ),
inference(resolve,[$cnf( parent('Iokaste') )],[refute_0_22,refute_0_15]) ).
cnf(refute_0_24,plain,
( ~ parent('Polyneikes')
| ~ patricide('Polyneikes')
| ~ relation('Iokaste',of,'Polyneikes')
| ~ relation('Polyneikes',of,'Thersandros')
| patricide(skolemFOFtoCNF_E_1('Thersandros')) ),
inference(subst,[],[refute_0_23:[bind(C,$fot('Polyneikes')),bind(D,$fot('Thersandros'))]]) ).
cnf(refute_0_25,plain,
( ~ parent('Polyneikes')
| ~ patricide('Polyneikes')
| ~ relation('Iokaste',of,'Polyneikes')
| patricide(skolemFOFtoCNF_E_1('Thersandros')) ),
inference(resolve,[$cnf( relation('Polyneikes',of,'Thersandros') )],[refute_0_9,refute_0_24]) ).
cnf(refute_0_26,plain,
parent(skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_27,plain,
( skolemFOFtoCNF_D != 'Polyneikes'
| ~ parent(skolemFOFtoCNF_D)
| parent('Polyneikes') ),
introduced(tautology,[equality,[$cnf( parent(skolemFOFtoCNF_D) ),[0],$fot('Polyneikes')]]) ).
cnf(refute_0_28,plain,
( ~ parent(skolemFOFtoCNF_D)
| parent('Polyneikes') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D,'Polyneikes') )],[refute_0_6,refute_0_27]) ).
cnf(refute_0_29,plain,
parent('Polyneikes'),
inference(resolve,[$cnf( parent(skolemFOFtoCNF_D) )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ patricide('Polyneikes')
| ~ relation('Iokaste',of,'Polyneikes')
| patricide(skolemFOFtoCNF_E_1('Thersandros')) ),
inference(resolve,[$cnf( parent('Polyneikes') )],[refute_0_29,refute_0_25]) ).
cnf(refute_0_31,plain,
relation(skolemFOFtoCNF_B,of,'Polyneikes'),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_32,plain,
'Iokaste' = skolemFOFtoCNF_B,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_33,plain,
( 'Iokaste' != skolemFOFtoCNF_B
| skolemFOFtoCNF_B = 'Iokaste' ),
inference(subst,[],[refute_0_4:[bind(X,$fot('Iokaste')),bind(Y,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_34,plain,
skolemFOFtoCNF_B = 'Iokaste',
inference(resolve,[$cnf( $equal('Iokaste',skolemFOFtoCNF_B) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( skolemFOFtoCNF_B != 'Iokaste'
| ~ relation(skolemFOFtoCNF_B,of,'Polyneikes')
| relation('Iokaste',of,'Polyneikes') ),
introduced(tautology,[equality,[$cnf( relation(skolemFOFtoCNF_B,of,'Polyneikes') ),[0],$fot('Iokaste')]]) ).
cnf(refute_0_36,plain,
( ~ relation(skolemFOFtoCNF_B,of,'Polyneikes')
| relation('Iokaste',of,'Polyneikes') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,'Iokaste') )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
relation('Iokaste',of,'Polyneikes'),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B,of,'Polyneikes') )],[refute_0_31,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ patricide('Polyneikes')
| patricide(skolemFOFtoCNF_E_1('Thersandros')) ),
inference(resolve,[$cnf( relation('Iokaste',of,'Polyneikes') )],[refute_0_37,refute_0_30]) ).
cnf(refute_0_39,plain,
relation(skolemFOFtoCNF_C,of,'Polyneikes'),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_40,plain,
'Oedipus' = skolemFOFtoCNF_C,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_41,plain,
( 'Oedipus' != skolemFOFtoCNF_C
| skolemFOFtoCNF_C = 'Oedipus' ),
inference(subst,[],[refute_0_4:[bind(X,$fot('Oedipus')),bind(Y,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_42,plain,
skolemFOFtoCNF_C = 'Oedipus',
inference(resolve,[$cnf( $equal('Oedipus',skolemFOFtoCNF_C) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( skolemFOFtoCNF_C != 'Oedipus'
| ~ relation(skolemFOFtoCNF_C,of,'Polyneikes')
| relation('Oedipus',of,'Polyneikes') ),
introduced(tautology,[equality,[$cnf( relation(skolemFOFtoCNF_C,of,'Polyneikes') ),[0],$fot('Oedipus')]]) ).
cnf(refute_0_44,plain,
( ~ relation(skolemFOFtoCNF_C,of,'Polyneikes')
| relation('Oedipus',of,'Polyneikes') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C,'Oedipus') )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
relation('Oedipus',of,'Polyneikes'),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_C,of,'Polyneikes') )],[refute_0_39,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ parent('Oedipus')
| ~ patricide('Oedipus')
| ~ relation('Iokaste',of,'Oedipus')
| ~ relation('Oedipus',of,'Polyneikes')
| patricide(skolemFOFtoCNF_E_1('Polyneikes')) ),
inference(subst,[],[refute_0_23:[bind(C,$fot('Oedipus')),bind(D,$fot('Polyneikes'))]]) ).
cnf(refute_0_47,plain,
( ~ parent('Oedipus')
| ~ patricide('Oedipus')
| ~ relation('Iokaste',of,'Oedipus')
| patricide(skolemFOFtoCNF_E_1('Polyneikes')) ),
inference(resolve,[$cnf( relation('Oedipus',of,'Polyneikes') )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
parent(skolemFOFtoCNF_C),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_49,plain,
( skolemFOFtoCNF_C != 'Oedipus'
| ~ parent(skolemFOFtoCNF_C)
| parent('Oedipus') ),
introduced(tautology,[equality,[$cnf( parent(skolemFOFtoCNF_C) ),[0],$fot('Oedipus')]]) ).
cnf(refute_0_50,plain,
( ~ parent(skolemFOFtoCNF_C)
| parent('Oedipus') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C,'Oedipus') )],[refute_0_42,refute_0_49]) ).
cnf(refute_0_51,plain,
parent('Oedipus'),
inference(resolve,[$cnf( parent(skolemFOFtoCNF_C) )],[refute_0_48,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ patricide('Oedipus')
| ~ relation('Iokaste',of,'Oedipus')
| patricide(skolemFOFtoCNF_E_1('Polyneikes')) ),
inference(resolve,[$cnf( parent('Oedipus') )],[refute_0_51,refute_0_47]) ).
cnf(refute_0_53,plain,
patricide(skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_54,plain,
'Oedipus' = skolemFOFtoCNF_E,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_55,plain,
( 'Oedipus' != skolemFOFtoCNF_E
| skolemFOFtoCNF_E = 'Oedipus' ),
inference(subst,[],[refute_0_4:[bind(X,$fot('Oedipus')),bind(Y,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_56,plain,
skolemFOFtoCNF_E = 'Oedipus',
inference(resolve,[$cnf( $equal('Oedipus',skolemFOFtoCNF_E) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( skolemFOFtoCNF_E != 'Oedipus'
| ~ patricide(skolemFOFtoCNF_E)
| patricide('Oedipus') ),
introduced(tautology,[equality,[$cnf( patricide(skolemFOFtoCNF_E) ),[0],$fot('Oedipus')]]) ).
cnf(refute_0_58,plain,
( ~ patricide(skolemFOFtoCNF_E)
| patricide('Oedipus') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_E,'Oedipus') )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
patricide('Oedipus'),
inference(resolve,[$cnf( patricide(skolemFOFtoCNF_E) )],[refute_0_53,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ relation('Iokaste',of,'Oedipus')
| patricide(skolemFOFtoCNF_E_1('Polyneikes')) ),
inference(resolve,[$cnf( patricide('Oedipus') )],[refute_0_59,refute_0_52]) ).
cnf(refute_0_61,plain,
relation(skolemFOFtoCNF_A,of,'Oedipus'),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_62,plain,
( skolemFOFtoCNF_A != 'Iokaste'
| ~ relation(skolemFOFtoCNF_A,of,'Oedipus')
| relation('Iokaste',of,'Oedipus') ),
introduced(tautology,[equality,[$cnf( relation(skolemFOFtoCNF_A,of,'Oedipus') ),[0],$fot('Iokaste')]]) ).
cnf(refute_0_63,plain,
( ~ relation(skolemFOFtoCNF_A,of,'Oedipus')
| relation('Iokaste',of,'Oedipus') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A,'Iokaste') )],[refute_0_19,refute_0_62]) ).
cnf(refute_0_64,plain,
relation('Iokaste',of,'Oedipus'),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_A,of,'Oedipus') )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
patricide(skolemFOFtoCNF_E_1('Polyneikes')),
inference(resolve,[$cnf( relation('Iokaste',of,'Oedipus') )],[refute_0_64,refute_0_60]) ).
cnf(refute_0_66,plain,
( B != C
| 'Iokaste' != A
| ~ parent(A)
| ~ parent(C)
| ~ patricide(B)
| ~ relation(A,of,B)
| ~ relation(C,of,D)
| D = skolemFOFtoCNF_E_1(D) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_67,plain,
( C != C
| 'Iokaste' != 'Iokaste'
| ~ parent(C)
| ~ parent('Iokaste')
| ~ patricide(C)
| ~ relation(C,of,D)
| ~ relation('Iokaste',of,C)
| D = skolemFOFtoCNF_E_1(D) ),
inference(subst,[],[refute_0_66:[bind(A,$fot('Iokaste')),bind(B,$fot(C))]]) ).
cnf(refute_0_68,plain,
( 'Iokaste' != 'Iokaste'
| ~ parent(C)
| ~ parent('Iokaste')
| ~ patricide(C)
| ~ relation(C,of,D)
| ~ relation('Iokaste',of,C)
| D = skolemFOFtoCNF_E_1(D) ),
inference(resolve,[$cnf( $equal(C,C) )],[refute_0_12,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ parent(C)
| ~ parent('Iokaste')
| ~ patricide(C)
| ~ relation(C,of,D)
| ~ relation('Iokaste',of,C)
| D = skolemFOFtoCNF_E_1(D) ),
inference(resolve,[$cnf( $equal('Iokaste','Iokaste') )],[refute_0_14,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ parent(C)
| ~ patricide(C)
| ~ relation(C,of,D)
| ~ relation('Iokaste',of,C)
| D = skolemFOFtoCNF_E_1(D) ),
inference(resolve,[$cnf( parent('Iokaste') )],[refute_0_22,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ parent('Oedipus')
| ~ patricide('Oedipus')
| ~ relation('Iokaste',of,'Oedipus')
| ~ relation('Oedipus',of,'Polyneikes')
| 'Polyneikes' = skolemFOFtoCNF_E_1('Polyneikes') ),
inference(subst,[],[refute_0_70:[bind(C,$fot('Oedipus')),bind(D,$fot('Polyneikes'))]]) ).
cnf(refute_0_72,plain,
( ~ parent('Oedipus')
| ~ patricide('Oedipus')
| ~ relation('Iokaste',of,'Oedipus')
| 'Polyneikes' = skolemFOFtoCNF_E_1('Polyneikes') ),
inference(resolve,[$cnf( relation('Oedipus',of,'Polyneikes') )],[refute_0_45,refute_0_71]) ).
cnf(refute_0_73,plain,
( ~ patricide('Oedipus')
| ~ relation('Iokaste',of,'Oedipus')
| 'Polyneikes' = skolemFOFtoCNF_E_1('Polyneikes') ),
inference(resolve,[$cnf( parent('Oedipus') )],[refute_0_51,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ relation('Iokaste',of,'Oedipus')
| 'Polyneikes' = skolemFOFtoCNF_E_1('Polyneikes') ),
inference(resolve,[$cnf( patricide('Oedipus') )],[refute_0_59,refute_0_73]) ).
cnf(refute_0_75,plain,
'Polyneikes' = skolemFOFtoCNF_E_1('Polyneikes'),
inference(resolve,[$cnf( relation('Iokaste',of,'Oedipus') )],[refute_0_64,refute_0_74]) ).
cnf(refute_0_76,plain,
( 'Polyneikes' != skolemFOFtoCNF_E_1('Polyneikes')
| skolemFOFtoCNF_E_1('Polyneikes') = 'Polyneikes' ),
inference(subst,[],[refute_0_4:[bind(X,$fot('Polyneikes')),bind(Y,$fot(skolemFOFtoCNF_E_1('Polyneikes')))]]) ).
cnf(refute_0_77,plain,
skolemFOFtoCNF_E_1('Polyneikes') = 'Polyneikes',
inference(resolve,[$cnf( $equal('Polyneikes',skolemFOFtoCNF_E_1('Polyneikes')) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( skolemFOFtoCNF_E_1('Polyneikes') != 'Polyneikes'
| ~ patricide(skolemFOFtoCNF_E_1('Polyneikes'))
| patricide('Polyneikes') ),
introduced(tautology,[equality,[$cnf( patricide(skolemFOFtoCNF_E_1('Polyneikes')) ),[0],$fot('Polyneikes')]]) ).
cnf(refute_0_79,plain,
( ~ patricide(skolemFOFtoCNF_E_1('Polyneikes'))
| patricide('Polyneikes') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_E_1('Polyneikes'),'Polyneikes') )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
patricide('Polyneikes'),
inference(resolve,[$cnf( patricide(skolemFOFtoCNF_E_1('Polyneikes')) )],[refute_0_65,refute_0_79]) ).
cnf(refute_0_81,plain,
patricide(skolemFOFtoCNF_E_1('Thersandros')),
inference(resolve,[$cnf( patricide('Polyneikes') )],[refute_0_80,refute_0_38]) ).
cnf(refute_0_82,plain,
( ~ parent('Polyneikes')
| ~ patricide('Polyneikes')
| ~ relation('Iokaste',of,'Polyneikes')
| ~ relation('Polyneikes',of,'Thersandros')
| 'Thersandros' = skolemFOFtoCNF_E_1('Thersandros') ),
inference(subst,[],[refute_0_70:[bind(C,$fot('Polyneikes')),bind(D,$fot('Thersandros'))]]) ).
cnf(refute_0_83,plain,
( ~ parent('Polyneikes')
| ~ patricide('Polyneikes')
| ~ relation('Iokaste',of,'Polyneikes')
| 'Thersandros' = skolemFOFtoCNF_E_1('Thersandros') ),
inference(resolve,[$cnf( relation('Polyneikes',of,'Thersandros') )],[refute_0_9,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ patricide('Polyneikes')
| ~ relation('Iokaste',of,'Polyneikes')
| 'Thersandros' = skolemFOFtoCNF_E_1('Thersandros') ),
inference(resolve,[$cnf( parent('Polyneikes') )],[refute_0_29,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ patricide('Polyneikes')
| 'Thersandros' = skolemFOFtoCNF_E_1('Thersandros') ),
inference(resolve,[$cnf( relation('Iokaste',of,'Polyneikes') )],[refute_0_37,refute_0_84]) ).
cnf(refute_0_86,plain,
'Thersandros' = skolemFOFtoCNF_E_1('Thersandros'),
inference(resolve,[$cnf( patricide('Polyneikes') )],[refute_0_80,refute_0_85]) ).
cnf(refute_0_87,plain,
( 'Thersandros' != skolemFOFtoCNF_E_1('Thersandros')
| skolemFOFtoCNF_E_1('Thersandros') = 'Thersandros' ),
inference(subst,[],[refute_0_4:[bind(X,$fot('Thersandros')),bind(Y,$fot(skolemFOFtoCNF_E_1('Thersandros')))]]) ).
cnf(refute_0_88,plain,
skolemFOFtoCNF_E_1('Thersandros') = 'Thersandros',
inference(resolve,[$cnf( $equal('Thersandros',skolemFOFtoCNF_E_1('Thersandros')) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( skolemFOFtoCNF_E_1('Thersandros') != 'Thersandros'
| ~ patricide(skolemFOFtoCNF_E_1('Thersandros'))
| patricide('Thersandros') ),
introduced(tautology,[equality,[$cnf( patricide(skolemFOFtoCNF_E_1('Thersandros')) ),[0],$fot('Thersandros')]]) ).
cnf(refute_0_90,plain,
( ~ patricide(skolemFOFtoCNF_E_1('Thersandros'))
| patricide('Thersandros') ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_E_1('Thersandros'),'Thersandros') )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
patricide('Thersandros'),
inference(resolve,[$cnf( patricide(skolemFOFtoCNF_E_1('Thersandros')) )],[refute_0_81,refute_0_90]) ).
cnf(refute_0_92,plain,
( 'Thersandros' != F
| ~ patricide(F) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_93,plain,
( 'Thersandros' != 'Thersandros'
| ~ patricide('Thersandros') ),
inference(subst,[],[refute_0_92:[bind(F,$fot('Thersandros'))]]) ).
cnf(refute_0_94,plain,
'Thersandros' = 'Thersandros',
introduced(tautology,[refl,[$fot('Thersandros')]]) ).
cnf(refute_0_95,plain,
~ patricide('Thersandros'),
inference(resolve,[$cnf( $equal('Thersandros','Thersandros') )],[refute_0_94,refute_0_93]) ).
cnf(refute_0_96,plain,
$false,
inference(resolve,[$cnf( patricide('Thersandros') )],[refute_0_91,refute_0_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ128+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.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 21:04:12 EDT 2022
% 0.12/0.33 % 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
% 0.12/0.36
%------------------------------------------------------------------------------