%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS195+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 03:19:07 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 7 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 99 ( 42 ~; 31 |; 11 &)
% ( 13 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 6 sgn 49 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ) ).
fof(cax,axiom,
! [Ax,C] :
( ~ ? [I1] : model(I1,Ax)
<=> status(Ax,C,cax) ) ).
fof(tca,axiom,
! [Ax,C] :
( ( ~ ? [I1] : model(I1,Ax)
& ! [I2] : model(I2,C) )
<=> status(Ax,C,tca) ) ).
fof(isa,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ) ).
fof(isa_tca_thm,conjecture,
isa(tca,thm) ).
fof(subgoal_0,plain,
isa(tca,thm),
inference(strip,[],[isa_tca_thm]) ).
fof(negate_0_0,plain,
~ isa(tca,thm),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [Ax,C] :
( ~ status(Ax,C,thm)
<=> ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ),
inference(canonicalize,[],[thm]) ).
fof(normalize_0_1,plain,
! [Ax,C] :
( ~ status(Ax,C,thm)
<=> ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Ax,C,I1] :
( ( ~ model(skolemFOFtoCNF_I1_5(Ax,C),C)
| status(Ax,C,thm) )
& ( model(skolemFOFtoCNF_I1_5(Ax,C),Ax)
| status(Ax,C,thm) )
& ( ~ model(I1,Ax)
| ~ status(Ax,C,thm)
| model(I1,C) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Ax,C] :
( ~ model(skolemFOFtoCNF_I1_5(Ax,C),C)
| status(Ax,C,thm) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(canonicalize,[],[isa]) ).
fof(normalize_0_5,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,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_5]) ).
fof(normalize_0_7,plain,
! [S1,S2] :
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [Ax,C] :
( ~ status(Ax,C,tca)
<=> ( ? [I1] : model(I1,Ax)
| ? [I2] : ~ model(I2,C) ) ),
inference(canonicalize,[],[tca]) ).
fof(normalize_0_9,plain,
! [Ax,C] :
( ~ status(Ax,C,cax)
<=> ? [I1] : model(I1,Ax) ),
inference(canonicalize,[],[cax]) ).
fof(normalize_0_10,plain,
! [Ax,C] :
( ~ status(Ax,C,cax)
<=> ? [I1] : model(I1,Ax) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [Ax,C] :
( ~ status(Ax,C,tca)
<=> ( ~ status(Ax,C,cax)
| ? [I2] : ~ model(I2,C) ) ),
inference(simplify,[],[normalize_0_8,normalize_0_10]) ).
fof(normalize_0_12,plain,
! [Ax,C] :
( ~ status(Ax,C,tca)
<=> ( ~ status(Ax,C,cax)
| ? [I2] : ~ model(I2,C) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [Ax,C,I2] :
( ( ~ status(Ax,C,tca)
| model(I2,C) )
& ( ~ status(Ax,C,tca)
| status(Ax,C,cax) )
& ( ~ model(skolemFOFtoCNF_I2_10(C),C)
| ~ status(Ax,C,cax)
| status(Ax,C,tca) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [Ax,C,I2] :
( ~ status(Ax,C,tca)
| model(I2,C) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [S1,S2] :
( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_16,plain,
~ isa(tca,thm),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
( ~ model(skolemFOFtoCNF_I1_5(Ax,C),C)
| status(Ax,C,thm) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ model(skolemFOFtoCNF_I1_5(Ax,skolemFOFtoCNF_C_1(tca,X_179)),skolemFOFtoCNF_C_1(tca,X_179))
| status(Ax,skolemFOFtoCNF_C_1(tca,X_179),thm) ),
inference(subst,[],[refute_0_0:[bind(C,$fot(skolemFOFtoCNF_C_1(tca,X_179)))]]) ).
cnf(refute_0_2,plain,
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( isa(tca,S2)
| status(skolemFOFtoCNF_Ax_1(tca,S2),skolemFOFtoCNF_C_1(tca,S2),tca) ),
inference(subst,[],[refute_0_2:[bind(S1,$fot(tca))]]) ).
cnf(refute_0_4,plain,
( ~ status(Ax,C,tca)
| model(I2,C) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_5,plain,
( ~ status(skolemFOFtoCNF_Ax_1(tca,S2),skolemFOFtoCNF_C_1(tca,S2),tca)
| model(X_178,skolemFOFtoCNF_C_1(tca,S2)) ),
inference(subst,[],[refute_0_4:[bind(Ax,$fot(skolemFOFtoCNF_Ax_1(tca,S2))),bind(C,$fot(skolemFOFtoCNF_C_1(tca,S2))),bind(I2,$fot(X_178))]]) ).
cnf(refute_0_6,plain,
( isa(tca,S2)
| model(X_178,skolemFOFtoCNF_C_1(tca,S2)) ),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(tca,S2),skolemFOFtoCNF_C_1(tca,S2),tca) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( isa(tca,X_179)
| model(skolemFOFtoCNF_I1_5(Ax,skolemFOFtoCNF_C_1(tca,X_179)),skolemFOFtoCNF_C_1(tca,X_179)) ),
inference(subst,[],[refute_0_6:[bind(S2,$fot(X_179)),bind(X_178,$fot(skolemFOFtoCNF_I1_5(Ax,skolemFOFtoCNF_C_1(tca,X_179))))]]) ).
cnf(refute_0_8,plain,
( isa(tca,X_179)
| status(Ax,skolemFOFtoCNF_C_1(tca,X_179),thm) ),
inference(resolve,[$cnf( model(skolemFOFtoCNF_I1_5(Ax,skolemFOFtoCNF_C_1(tca,X_179)),skolemFOFtoCNF_C_1(tca,X_179)) )],[refute_0_7,refute_0_1]) ).
cnf(refute_0_9,plain,
( isa(tca,thm)
| status(skolemFOFtoCNF_Ax_1(tca,thm),skolemFOFtoCNF_C_1(tca,thm),thm) ),
inference(subst,[],[refute_0_8:[bind(Ax,$fot(skolemFOFtoCNF_Ax_1(tca,thm))),bind(X_179,$fot(thm))]]) ).
cnf(refute_0_10,plain,
( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_11,plain,
( ~ status(skolemFOFtoCNF_Ax_1(tca,thm),skolemFOFtoCNF_C_1(tca,thm),thm)
| isa(tca,thm) ),
inference(subst,[],[refute_0_10:[bind(S1,$fot(tca)),bind(S2,$fot(thm))]]) ).
cnf(refute_0_12,plain,
isa(tca,thm),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(tca,thm),skolemFOFtoCNF_C_1(tca,thm),thm) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
~ isa(tca,thm),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( isa(tca,thm) )],[refute_0_12,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS195+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n025.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 : Tue Jun 7 09:23:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50
% 0.19/0.50 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.50
%------------------------------------------------------------------------------