TSTP Solution File: KRS123+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS123+1 : TPTP v8.1.0. Released v3.1.0.
% 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 03:18:48 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 82 ( 41 ~; 26 |; 5 &)
% ( 9 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 1 sgn 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( cc(X)
& cd(X) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cc(X)
=> cdxcomp(X) ) ).
fof(axiom_6,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ) ).
fof(axiom_7,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ) ).
fof(axiom_12,axiom,
cUnsatisfiable(i2003_11_14_17_22_02803) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cd(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cd(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ cd(X)
| ~ ra_Px1(X,Y) )
& ( cd(X)
| ra_Px1(X,skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ cd(X)
| ~ ra_Px1(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(canonicalize,[],[axiom_12]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ cc(X)
| ~ cd(X) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ cc(X)
| ~ cd(X) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| cc(X) )
& ( ~ cUnsatisfiable(X)
| cd(X) )
& ( ~ cc(X)
| ~ cd(X)
| cUnsatisfiable(X) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cc(X) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cc(X)
| cdxcomp(X) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cc(X)
| cdxcomp(X) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cdxcomp(X)
<=> ! [Y0] : ~ ra_Px1(X,Y0) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ cdxcomp(X)
<=> ! [Y0] : ~ ra_Px1(X,Y0) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y0] :
( ( ~ cdxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ ra_Px1(X,Y0)
| cdxcomp(X) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ cdxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cd(X) ),
inference(conjunct,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
( ~ cd(X)
| ~ ra_Px1(X,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ cd(i2003_11_14_17_22_02803)
| ~ ra_Px1(i2003_11_14_17_22_02803,skolemFOFtoCNF_Y0(i2003_11_14_17_22_02803)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(i2003_11_14_17_22_02803)),bind(Y,$fot(skolemFOFtoCNF_Y0(i2003_11_14_17_22_02803)))]]) ).
cnf(refute_0_2,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ cUnsatisfiable(X)
| cc(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_02803)
| cc(i2003_11_14_17_22_02803) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(i2003_11_14_17_22_02803))]]) ).
cnf(refute_0_5,plain,
cc(i2003_11_14_17_22_02803),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_22_02803) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ cc(X)
| cdxcomp(X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cc(i2003_11_14_17_22_02803)
| cdxcomp(i2003_11_14_17_22_02803) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(i2003_11_14_17_22_02803))]]) ).
cnf(refute_0_8,plain,
cdxcomp(i2003_11_14_17_22_02803),
inference(resolve,[$cnf( cc(i2003_11_14_17_22_02803) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ cdxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_10,plain,
( ~ cdxcomp(i2003_11_14_17_22_02803)
| ra_Px1(i2003_11_14_17_22_02803,skolemFOFtoCNF_Y0(i2003_11_14_17_22_02803)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(i2003_11_14_17_22_02803))]]) ).
cnf(refute_0_11,plain,
ra_Px1(i2003_11_14_17_22_02803,skolemFOFtoCNF_Y0(i2003_11_14_17_22_02803)),
inference(resolve,[$cnf( cdxcomp(i2003_11_14_17_22_02803) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
~ cd(i2003_11_14_17_22_02803),
inference(resolve,[$cnf( ra_Px1(i2003_11_14_17_22_02803,skolemFOFtoCNF_Y0(i2003_11_14_17_22_02803)) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
( ~ cUnsatisfiable(X)
| cd(X) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_14,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_02803)
| cd(i2003_11_14_17_22_02803) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(i2003_11_14_17_22_02803))]]) ).
cnf(refute_0_15,plain,
cd(i2003_11_14_17_22_02803),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_22_02803) )],[refute_0_2,refute_0_14]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( cd(i2003_11_14_17_22_02803) )],[refute_0_15,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS123+1 : TPTP v8.1.0. Released v3.1.0.
% 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 05:26:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------