%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS094+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 03:18:41 EDT 2022
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 23 ~; 13 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> cc1(X) ) ).
fof(axiom_4,axiom,
! [X] :
( cc1(X)
=> ~ cd1(X) ) ).
fof(axiom_5,axiom,
! [X] :
( cc1(X)
=> cd1(X) ) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_20_11330) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cc1(X)
| ~ cd1(X) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cc1(X)
| ~ cd1(X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ cc1(X)
| cd1(X) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ cc1(X)
| cd1(X) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
cUnsatisfiable(i2003_11_14_17_20_11330),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ~ cc1(X) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ~ cc1(X) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| cc1(X) )
& ( ~ cc1(X)
| cUnsatisfiable(X) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cc1(X) ),
inference(conjunct,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
( ~ cc1(X)
| ~ cd1(X) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ cc1(i2003_11_14_17_20_11330)
| ~ cd1(i2003_11_14_17_20_11330) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(i2003_11_14_17_20_11330))]]) ).
cnf(refute_0_2,plain,
( ~ cc1(X)
| cd1(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ cc1(i2003_11_14_17_20_11330)
| cd1(i2003_11_14_17_20_11330) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(i2003_11_14_17_20_11330))]]) ).
cnf(refute_0_4,plain,
cUnsatisfiable(i2003_11_14_17_20_11330),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_5,plain,
( ~ cUnsatisfiable(X)
| cc1(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_11330)
| cc1(i2003_11_14_17_20_11330) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(i2003_11_14_17_20_11330))]]) ).
cnf(refute_0_7,plain,
cc1(i2003_11_14_17_20_11330),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_11330) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
cd1(i2003_11_14_17_20_11330),
inference(resolve,[$cnf( cc1(i2003_11_14_17_20_11330) )],[refute_0_7,refute_0_3]) ).
cnf(refute_0_9,plain,
~ cc1(i2003_11_14_17_20_11330),
inference(resolve,[$cnf( cd1(i2003_11_14_17_20_11330) )],[refute_0_8,refute_0_1]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( cc1(i2003_11_14_17_20_11330) )],[refute_0_7,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS094+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 19:59:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34
%------------------------------------------------------------------------------