%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS068+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 03:18:35 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 32 ~; 33 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
=> cc(X) ) ).
fof(axiom_3,axiom,
! [X] :
( cUnsatisfiable(X)
=> ~ cd(X) ) ).
fof(axiom_4,axiom,
! [X] :
( cc(X)
=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ) ).
fof(axiom_5,axiom,
cUnsatisfiable(i2003_11_14_17_18_23845) ).
fof(axiom_6,axiom,
! [X] :
( ! [Y] :
( rr(X,Y)
=> cc(Y) )
=> cd(X) ) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ~ cd(X) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ~ cd(X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( cd(X)
| ? [Y] :
( ~ cc(Y)
& rr(X,Y) ) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_3,plain,
! [X] :
( cd(X)
| ? [Y] :
( ~ cc(Y)
& rr(X,Y) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ( ~ cc(skolemFOFtoCNF_Y(X))
| cd(X) )
& ( cd(X)
| rr(X,skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ cc(skolemFOFtoCNF_Y(X))
| cd(X) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cc(X) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cc(X) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( cd(X)
| rr(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cc(X)
| ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cc(X)
| ! [Y] :
( ~ rr(X,Y)
| cc(Y) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ~ cc(X)
| ~ rr(X,Y)
| cc(Y) ),
inference(clausify,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
( ~ cUnsatisfiable(X)
| ~ cd(X) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| ~ cd(i2003_11_14_17_18_23845) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(i2003_11_14_17_18_23845))]]) ).
cnf(refute_0_2,plain,
( ~ cc(skolemFOFtoCNF_Y(X))
| cd(X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ cc(skolemFOFtoCNF_Y(i2003_11_14_17_18_23845))
| cd(i2003_11_14_17_18_23845) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(i2003_11_14_17_18_23845))]]) ).
cnf(refute_0_4,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
( ~ cUnsatisfiable(X)
| cc(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| cc(i2003_11_14_17_18_23845) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(i2003_11_14_17_18_23845))]]) ).
cnf(refute_0_7,plain,
cc(i2003_11_14_17_18_23845),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_23845) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( cd(X)
| rr(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_9,plain,
( cd(X_8)
| rr(X_8,skolemFOFtoCNF_Y(X_8)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_10,plain,
( ~ cc(X)
| ~ rr(X,Y)
| cc(Y) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
( ~ cc(X_8)
| ~ rr(X_8,skolemFOFtoCNF_Y(X_8))
| cc(skolemFOFtoCNF_Y(X_8)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_8)),bind(Y,$fot(skolemFOFtoCNF_Y(X_8)))]]) ).
cnf(refute_0_12,plain,
( ~ cc(X_8)
| cc(skolemFOFtoCNF_Y(X_8))
| cd(X_8) ),
inference(resolve,[$cnf( rr(X_8,skolemFOFtoCNF_Y(X_8)) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ cc(i2003_11_14_17_18_23845)
| cc(skolemFOFtoCNF_Y(i2003_11_14_17_18_23845))
| cd(i2003_11_14_17_18_23845) ),
inference(subst,[],[refute_0_12:[bind(X_8,$fot(i2003_11_14_17_18_23845))]]) ).
cnf(refute_0_14,plain,
( cc(skolemFOFtoCNF_Y(i2003_11_14_17_18_23845))
| cd(i2003_11_14_17_18_23845) ),
inference(resolve,[$cnf( cc(i2003_11_14_17_18_23845) )],[refute_0_7,refute_0_13]) ).
cnf(refute_0_15,plain,
cd(i2003_11_14_17_18_23845),
inference(resolve,[$cnf( cc(skolemFOFtoCNF_Y(i2003_11_14_17_18_23845)) )],[refute_0_14,refute_0_3]) ).
cnf(refute_0_16,plain,
~ cUnsatisfiable(i2003_11_14_17_18_23845),
inference(resolve,[$cnf( cd(i2003_11_14_17_18_23845) )],[refute_0_15,refute_0_1]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_23845) )],[refute_0_4,refute_0_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS068+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n022.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 13:31:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------