%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS093+1 : TPTP v8.1.0. Released v3.1.0.
% 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 03:18:41 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 67 ( 34 ~; 24 |; 3 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( cf(X)
& ce3(X) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ) ).
fof(axiom_6,axiom,
! [X] :
( ce3(X)
=> cc(X) ) ).
fof(axiom_7,axiom,
! [X] :
( cf(X)
=> cd(X) ) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_20_07201) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cc(X)
| ~ cd(X) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cc(X)
| ~ cd(X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
cUnsatisfiable(i2003_11_14_17_20_07201),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ ce3(X)
| ~ cf(X) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ~ ce3(X)
| ~ cf(X) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ce3(X) )
& ( ~ cUnsatisfiable(X)
| cf(X) )
& ( ~ ce3(X)
| ~ cf(X)
| cUnsatisfiable(X) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cf(X) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ cf(X)
| cd(X) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cf(X)
| cd(X) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ce3(X) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ ce3(X)
| cc(X) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ ce3(X)
| cc(X) ),
inference(specialize,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
( ~ cc(X)
| ~ cd(X) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ cc(i2003_11_14_17_20_07201)
| ~ cd(i2003_11_14_17_20_07201) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(i2003_11_14_17_20_07201))]]) ).
cnf(refute_0_2,plain,
cUnsatisfiable(i2003_11_14_17_20_07201),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_3,plain,
( ~ cUnsatisfiable(X)
| cf(X) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_07201)
| cf(i2003_11_14_17_20_07201) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(i2003_11_14_17_20_07201))]]) ).
cnf(refute_0_5,plain,
cf(i2003_11_14_17_20_07201),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_07201) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ cf(X)
| cd(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ cf(i2003_11_14_17_20_07201)
| cd(i2003_11_14_17_20_07201) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(i2003_11_14_17_20_07201))]]) ).
cnf(refute_0_8,plain,
cd(i2003_11_14_17_20_07201),
inference(resolve,[$cnf( cf(i2003_11_14_17_20_07201) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
~ cc(i2003_11_14_17_20_07201),
inference(resolve,[$cnf( cd(i2003_11_14_17_20_07201) )],[refute_0_8,refute_0_1]) ).
cnf(refute_0_10,plain,
( ~ cUnsatisfiable(X)
| ce3(X) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_11,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_07201)
| ce3(i2003_11_14_17_20_07201) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(i2003_11_14_17_20_07201))]]) ).
cnf(refute_0_12,plain,
ce3(i2003_11_14_17_20_07201),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_07201) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ ce3(X)
| cc(X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_14,plain,
( ~ ce3(i2003_11_14_17_20_07201)
| cc(i2003_11_14_17_20_07201) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(i2003_11_14_17_20_07201))]]) ).
cnf(refute_0_15,plain,
cc(i2003_11_14_17_20_07201),
inference(resolve,[$cnf( ce3(i2003_11_14_17_20_07201) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( cc(i2003_11_14_17_20_07201) )],[refute_0_15,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS093+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 18:58:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------