%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS181+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 : Sun Jul 17 03:19:05 EDT 2022
% Result : Theorem 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 48 ( 10 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 104 ( 41 ~; 39 |; 13 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 45 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(isa,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ) ).
fof(nota,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& ~ status(Ax,C,S2) )
<=> nota(S1,S2) ) ).
fof(nota_isa_nota,conjecture,
! [S1,S2,S3] :
( ( isa(S1,S2)
& nota(S1,S3) )
=> nota(S2,S3) ) ).
fof(subgoal_0,plain,
! [S1,S2,S3] :
( ( isa(S1,S2)
& nota(S1,S3) )
=> nota(S2,S3) ),
inference(strip,[],[nota_isa_nota]) ).
fof(negate_0_0,plain,
~ ! [S1,S2,S3] :
( ( isa(S1,S2)
& nota(S1,S3) )
=> nota(S2,S3) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(canonicalize,[],[isa]) ).
fof(normalize_0_1,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Ax,C,S1,S2] :
( ( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) )
& ( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) )
& ( ~ isa(S1,S2)
| ~ status(Ax,C,S1)
| status(Ax,C,S2) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [S1,S2] :
( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [S1,S2,S3] :
( ~ nota(S2,S3)
& isa(S1,S2)
& nota(S1,S3) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( ~ nota(skolemFOFtoCNF_S2,skolemFOFtoCNF_S3)
& isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2)
& nota(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
~ nota(skolemFOFtoCNF_S2,skolemFOFtoCNF_S3),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [S1,S2] :
( ~ nota(S1,S2)
<=> ! [Ax,C] :
( ~ status(Ax,C,S1)
| status(Ax,C,S2) ) ),
inference(canonicalize,[],[nota]) ).
fof(normalize_0_8,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> nota(S1,S2) ),
inference(simplify,[],[normalize_0_7,normalize_0_1]) ).
fof(normalize_0_9,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> nota(S1,S2) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [S1,S2] :
( ( ~ isa(S1,S2)
| ~ nota(S1,S2) )
& ( isa(S1,S2)
| nota(S1,S2) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [S1,S2] :
( isa(S1,S2)
| nota(S1,S2) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [Ax,C,S1,S2] :
( ~ isa(S1,S2)
| ~ status(Ax,C,S1)
| status(Ax,C,S2) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_13,plain,
isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_14,plain,
! [S1,S2] :
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_15,plain,
nota(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_16,plain,
! [S1,S2] :
( ~ isa(S1,S2)
| ~ nota(S1,S2) ),
inference(conjunct,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),skolemFOFtoCNF_S3)
| isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3) ),
inference(subst,[],[refute_0_0:[bind(S1,$fot(skolemFOFtoCNF_S1)),bind(S2,$fot(skolemFOFtoCNF_S3))]]) ).
cnf(refute_0_2,plain,
~ nota(skolemFOFtoCNF_S2,skolemFOFtoCNF_S3),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( isa(S1,S2)
| nota(S1,S2) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_4,plain,
( isa(skolemFOFtoCNF_S2,skolemFOFtoCNF_S3)
| nota(skolemFOFtoCNF_S2,skolemFOFtoCNF_S3) ),
inference(subst,[],[refute_0_3:[bind(S1,$fot(skolemFOFtoCNF_S2)),bind(S2,$fot(skolemFOFtoCNF_S3))]]) ).
cnf(refute_0_5,plain,
isa(skolemFOFtoCNF_S2,skolemFOFtoCNF_S3),
inference(resolve,[$cnf( nota(skolemFOFtoCNF_S2,skolemFOFtoCNF_S3) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
( ~ isa(S1,S2)
| ~ status(Ax,C,S1)
| status(Ax,C,S2) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ isa(skolemFOFtoCNF_S2,S2)
| ~ status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_59),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_59),skolemFOFtoCNF_S2)
| status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_59),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_59),S2) ),
inference(subst,[],[refute_0_6:[bind(Ax,$fot(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_59))),bind(C,$fot(skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_59))),bind(S1,$fot(skolemFOFtoCNF_S2))]]) ).
cnf(refute_0_8,plain,
isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_9,plain,
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_10,plain,
( isa(X_42,S2)
| status(skolemFOFtoCNF_Ax_1(X_42,S2),skolemFOFtoCNF_C_1(X_42,S2),X_42) ),
inference(subst,[],[refute_0_9:[bind(S1,$fot(X_42))]]) ).
cnf(refute_0_11,plain,
( ~ isa(X_42,X_43)
| ~ status(skolemFOFtoCNF_Ax_1(X_42,S2),skolemFOFtoCNF_C_1(X_42,S2),X_42)
| status(skolemFOFtoCNF_Ax_1(X_42,S2),skolemFOFtoCNF_C_1(X_42,S2),X_43) ),
inference(subst,[],[refute_0_6:[bind(Ax,$fot(skolemFOFtoCNF_Ax_1(X_42,S2))),bind(C,$fot(skolemFOFtoCNF_C_1(X_42,S2))),bind(S1,$fot(X_42)),bind(S2,$fot(X_43))]]) ).
cnf(refute_0_12,plain,
( ~ isa(X_42,X_43)
| isa(X_42,S2)
| status(skolemFOFtoCNF_Ax_1(X_42,S2),skolemFOFtoCNF_C_1(X_42,S2),X_43) ),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(X_42,S2),skolemFOFtoCNF_C_1(X_42,S2),X_42) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2)
| isa(skolemFOFtoCNF_S1,X_56)
| status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_56),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_56),skolemFOFtoCNF_S2) ),
inference(subst,[],[refute_0_12:[bind(S2,$fot(X_56)),bind(X_42,$fot(skolemFOFtoCNF_S1)),bind(X_43,$fot(skolemFOFtoCNF_S2))]]) ).
cnf(refute_0_14,plain,
( isa(skolemFOFtoCNF_S1,X_56)
| status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_56),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_56),skolemFOFtoCNF_S2) ),
inference(resolve,[$cnf( isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2) )],[refute_0_8,refute_0_13]) ).
cnf(refute_0_15,plain,
( isa(skolemFOFtoCNF_S1,X_59)
| status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_59),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_59),skolemFOFtoCNF_S2) ),
inference(subst,[],[refute_0_14:[bind(X_56,$fot(X_59))]]) ).
cnf(refute_0_16,plain,
( ~ isa(skolemFOFtoCNF_S2,S2)
| isa(skolemFOFtoCNF_S1,X_59)
| status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_59),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_59),S2) ),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_59),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_59),skolemFOFtoCNF_S2) )],[refute_0_15,refute_0_7]) ).
cnf(refute_0_17,plain,
( ~ isa(skolemFOFtoCNF_S2,skolemFOFtoCNF_S3)
| isa(skolemFOFtoCNF_S1,X_186)
| status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_186),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_186),skolemFOFtoCNF_S3) ),
inference(subst,[],[refute_0_16:[bind(S2,$fot(skolemFOFtoCNF_S3)),bind(X_59,$fot(X_186))]]) ).
cnf(refute_0_18,plain,
( isa(skolemFOFtoCNF_S1,X_186)
| status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,X_186),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,X_186),skolemFOFtoCNF_S3) ),
inference(resolve,[$cnf( isa(skolemFOFtoCNF_S2,skolemFOFtoCNF_S3) )],[refute_0_5,refute_0_17]) ).
cnf(refute_0_19,plain,
( isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3)
| status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),skolemFOFtoCNF_S3) ),
inference(subst,[],[refute_0_18:[bind(X_186,$fot(skolemFOFtoCNF_S3))]]) ).
cnf(refute_0_20,plain,
isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),skolemFOFtoCNF_C_1(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),skolemFOFtoCNF_S3) )],[refute_0_19,refute_0_1]) ).
cnf(refute_0_21,plain,
nota(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_22,plain,
( ~ isa(S1,S2)
| ~ nota(S1,S2) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_23,plain,
( ~ isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3)
| ~ nota(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3) ),
inference(subst,[],[refute_0_22:[bind(S1,$fot(skolemFOFtoCNF_S1)),bind(S2,$fot(skolemFOFtoCNF_S3))]]) ).
cnf(refute_0_24,plain,
~ isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3),
inference(resolve,[$cnf( nota(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3) )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S3) )],[refute_0_20,refute_0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS181+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 07:17:05 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45
% 0.20/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.45
%------------------------------------------------------------------------------