%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 03:19:04 EDT 2022
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 32 ( 14 ~; 10 |; 4 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 19 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(isa,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ) ).
fof(isa_reflexive,conjecture,
! [S1] : isa(S1,S1) ).
fof(subgoal_0,plain,
! [S1] : isa(S1,S1),
inference(strip,[],[isa_reflexive]) ).
fof(negate_0_0,plain,
~ ! [S1] : isa(S1,S1),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [S1] : ~ isa(S1,S1),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
~ isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S1),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(canonicalize,[],[isa]) ).
fof(normalize_0_3,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,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_3]) ).
fof(normalize_0_5,plain,
! [S1,S2] :
( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [S1,S2] :
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
~ isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S1),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ status(skolemFOFtoCNF_Ax_1(X_27,X_27),skolemFOFtoCNF_C_1(X_27,X_27),X_27)
| isa(X_27,X_27) ),
inference(subst,[],[refute_0_1:[bind(S1,$fot(X_27)),bind(S2,$fot(X_27))]]) ).
cnf(refute_0_3,plain,
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( isa(X_27,X_27)
| status(skolemFOFtoCNF_Ax_1(X_27,X_27),skolemFOFtoCNF_C_1(X_27,X_27),X_27) ),
inference(subst,[],[refute_0_3:[bind(S1,$fot(X_27)),bind(S2,$fot(X_27))]]) ).
cnf(refute_0_5,plain,
isa(X_27,X_27),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(X_27,X_27),skolemFOFtoCNF_C_1(X_27,X_27),X_27) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S1),
inference(subst,[],[refute_0_5:[bind(X_27,$fot(skolemFOFtoCNF_S1))]]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( isa(skolemFOFtoCNF_S1,skolemFOFtoCNF_S1) )],[refute_0_6,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n017.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
% 0.20/0.34 % DateTime : Tue Jun 7 16:30:02 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.37
% 0.20/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.37
%------------------------------------------------------------------------------