TSTP Solution File: KRS193+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS193+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 43 ( 7 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 91 ( 37 ~; 34 |; 9 &)
% ( 9 <=>; 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 83 ( 11 sgn 42 !; 9 ?)
% 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(isa,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ) ).
fof(isa_cax_thm,conjecture,
isa(cax,thm) ).
fof(subgoal_0,plain,
isa(cax,thm),
inference(strip,[],[isa_cax_thm]) ).
fof(negate_0_0,plain,
~ isa(cax,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),Ax)
| status(Ax,C,thm) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [Ax,C] :
( ~ status(Ax,C,cax)
<=> ? [I1] : model(I1,Ax) ),
inference(canonicalize,[],[cax]) ).
fof(normalize_0_5,plain,
! [Ax,C] :
( ~ status(Ax,C,cax)
<=> ? [I1] : model(I1,Ax) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Ax,C,I1] :
( ( ~ model(I1,Ax)
| ~ status(Ax,C,cax) )
& ( model(skolemFOFtoCNF_I1_13(Ax),Ax)
| status(Ax,C,cax) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [Ax,C] :
( model(skolemFOFtoCNF_I1_13(Ax),Ax)
| status(Ax,C,cax) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [Ax,C,I1] :
( ~ model(I1,Ax)
| ~ status(Ax,C,cax) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_9,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(canonicalize,[],[isa]) ).
fof(normalize_0_10,plain,
! [S1,S2] :
( ~ isa(S1,S2)
<=> ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,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_10]) ).
fof(normalize_0_12,plain,
! [S1,S2] :
( ~ status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S2)
| isa(S1,S2) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [S1,S2] :
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_14,plain,
~ isa(cax,thm),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
( model(skolemFOFtoCNF_I1_5(Ax,C),Ax)
| status(Ax,C,thm) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( model(skolemFOFtoCNF_I1_5(X_169,C),X_169)
| status(X_169,C,thm) ),
inference(subst,[],[refute_0_0:[bind(Ax,$fot(X_169))]]) ).
cnf(refute_0_2,plain,
( model(skolemFOFtoCNF_I1_13(Ax),Ax)
| status(Ax,C,cax) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( model(skolemFOFtoCNF_I1_13(X_74),X_74)
| status(X_74,X_75,cax) ),
inference(subst,[],[refute_0_2:[bind(Ax,$fot(X_74)),bind(C,$fot(X_75))]]) ).
cnf(refute_0_4,plain,
( ~ model(I1,Ax)
| ~ status(Ax,C,cax) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ model(X_76,X_74)
| ~ status(X_74,X_75,cax) ),
inference(subst,[],[refute_0_4:[bind(Ax,$fot(X_74)),bind(C,$fot(X_75)),bind(I1,$fot(X_76))]]) ).
cnf(refute_0_6,plain,
( ~ model(X_76,X_74)
| model(skolemFOFtoCNF_I1_13(X_74),X_74) ),
inference(resolve,[$cnf( status(X_74,X_75,cax) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ model(skolemFOFtoCNF_I1_5(X_169,C),X_169)
| model(skolemFOFtoCNF_I1_13(X_169),X_169) ),
inference(subst,[],[refute_0_6:[bind(X_74,$fot(X_169)),bind(X_76,$fot(skolemFOFtoCNF_I1_5(X_169,C)))]]) ).
cnf(refute_0_8,plain,
( model(skolemFOFtoCNF_I1_13(X_169),X_169)
| status(X_169,C,thm) ),
inference(resolve,[$cnf( model(skolemFOFtoCNF_I1_5(X_169,C),X_169) )],[refute_0_1,refute_0_7]) ).
cnf(refute_0_9,plain,
( model(skolemFOFtoCNF_I1_13(skolemFOFtoCNF_Ax_1(X_394,thm)),skolemFOFtoCNF_Ax_1(X_394,thm))
| status(skolemFOFtoCNF_Ax_1(X_394,thm),skolemFOFtoCNF_C_1(X_394,thm),thm) ),
inference(subst,[],[refute_0_8:[bind(C,$fot(skolemFOFtoCNF_C_1(X_394,thm))),bind(X_169,$fot(skolemFOFtoCNF_Ax_1(X_394,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_12]) ).
cnf(refute_0_11,plain,
( ~ status(skolemFOFtoCNF_Ax_1(X_394,thm),skolemFOFtoCNF_C_1(X_394,thm),thm)
| isa(X_394,thm) ),
inference(subst,[],[refute_0_10:[bind(S1,$fot(X_394)),bind(S2,$fot(thm))]]) ).
cnf(refute_0_12,plain,
( isa(X_394,thm)
| model(skolemFOFtoCNF_I1_13(skolemFOFtoCNF_Ax_1(X_394,thm)),skolemFOFtoCNF_Ax_1(X_394,thm)) ),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(X_394,thm),skolemFOFtoCNF_C_1(X_394,thm),thm) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( isa(cax,thm)
| model(skolemFOFtoCNF_I1_13(skolemFOFtoCNF_Ax_1(cax,thm)),skolemFOFtoCNF_Ax_1(cax,thm)) ),
inference(subst,[],[refute_0_12:[bind(X_394,$fot(cax))]]) ).
cnf(refute_0_14,plain,
( ~ model(I1,skolemFOFtoCNF_Ax_1(cax,X_406))
| ~ status(skolemFOFtoCNF_Ax_1(cax,X_406),skolemFOFtoCNF_C_1(cax,X_406),cax) ),
inference(subst,[],[refute_0_4:[bind(Ax,$fot(skolemFOFtoCNF_Ax_1(cax,X_406))),bind(C,$fot(skolemFOFtoCNF_C_1(cax,X_406)))]]) ).
cnf(refute_0_15,plain,
( isa(S1,S2)
| status(skolemFOFtoCNF_Ax_1(S1,S2),skolemFOFtoCNF_C_1(S1,S2),S1) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_16,plain,
( isa(cax,X_406)
| status(skolemFOFtoCNF_Ax_1(cax,X_406),skolemFOFtoCNF_C_1(cax,X_406),cax) ),
inference(subst,[],[refute_0_15:[bind(S1,$fot(cax)),bind(S2,$fot(X_406))]]) ).
cnf(refute_0_17,plain,
( ~ model(I1,skolemFOFtoCNF_Ax_1(cax,X_406))
| isa(cax,X_406) ),
inference(resolve,[$cnf( status(skolemFOFtoCNF_Ax_1(cax,X_406),skolemFOFtoCNF_C_1(cax,X_406),cax) )],[refute_0_16,refute_0_14]) ).
cnf(refute_0_18,plain,
( ~ model(skolemFOFtoCNF_I1_13(skolemFOFtoCNF_Ax_1(cax,thm)),skolemFOFtoCNF_Ax_1(cax,thm))
| isa(cax,thm) ),
inference(subst,[],[refute_0_17:[bind(I1,$fot(skolemFOFtoCNF_I1_13(skolemFOFtoCNF_Ax_1(cax,thm)))),bind(X_406,$fot(thm))]]) ).
cnf(refute_0_19,plain,
isa(cax,thm),
inference(resolve,[$cnf( model(skolemFOFtoCNF_I1_13(skolemFOFtoCNF_Ax_1(cax,thm)),skolemFOFtoCNF_Ax_1(cax,thm)) )],[refute_0_13,refute_0_18]) ).
cnf(refute_0_20,plain,
~ isa(cax,thm),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_21,plain,
$false,
inference(resolve,[$cnf( isa(cax,thm) )],[refute_0_19,refute_0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KRS193+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.00/0.08 % Command : metis --show proof --show saturation %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Tue Jun 7 13:14:20 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.07/0.27 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.40
% 0.11/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.11/0.40
%------------------------------------------------------------------------------