TSTP Solution File: KRS067+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS067+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 7 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 150 ( 68 ~; 61 |; 16 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ( cc(X)
& cb(X) )
| ( cb(X)
& ca(X) )
| ( cc(X)
& ca(X) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( ca(X)
=> ~ ( cc(X)
| cb(X) ) ) ).
fof(axiom_4,axiom,
! [X] :
( cb(X)
=> ~ cc(X) ) ).
fof(axiom_5,axiom,
cUnsatisfiable(i2003_11_14_17_18_1956) ).
fof(normalize_0_0,plain,
! [X] :
( ~ ca(X)
| ( ~ cb(X)
& ~ cc(X) ) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ ca(X)
| ( ~ cb(X)
& ~ cc(X) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ( ~ ca(X)
| ~ cb(X) )
& ( ~ ca(X)
| ~ cc(X) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ ca(X)
| ~ cb(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ ca(X)
| ~ cc(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ( ~ ca(X)
| ~ cb(X) )
& ( ~ ca(X)
| ~ cc(X) )
& ( ~ cb(X)
| ~ cc(X) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ( ~ ca(X)
| ~ cb(X) )
& ( ~ ca(X)
| ~ cc(X) )
& ( ~ cb(X)
| ~ cc(X) ) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ca(X)
| cb(X) )
& ( ~ cUnsatisfiable(X)
| ca(X)
| cc(X) )
& ( ~ cUnsatisfiable(X)
| cb(X)
| cc(X) )
& ( ~ ca(X)
| ~ cb(X)
| cUnsatisfiable(X) )
& ( ~ ca(X)
| ~ cc(X)
| cUnsatisfiable(X) )
& ( ~ cb(X)
| ~ cc(X)
| cUnsatisfiable(X) )
& ( ~ cUnsatisfiable(X)
| ca(X)
| cb(X)
| cc(X) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cb(X)
| cc(X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca(X)
| cb(X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cb(X)
| ~ cc(X) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ cb(X)
| ~ cc(X) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca(X)
| cc(X) ),
inference(conjunct,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
( ~ ca(X)
| ~ cb(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ ca(i2003_11_14_17_18_1956)
| ~ cb(i2003_11_14_17_18_1956) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(i2003_11_14_17_18_1956))]]) ).
cnf(refute_0_2,plain,
( ~ ca(X)
| ~ cc(X) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ ca(i2003_11_14_17_18_1956)
| ~ cc(i2003_11_14_17_18_1956) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(i2003_11_14_17_18_1956))]]) ).
cnf(refute_0_4,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ cUnsatisfiable(X)
| cb(X)
| cc(X) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_6,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(i2003_11_14_17_18_1956))]]) ).
cnf(refute_0_7,plain,
( cb(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_1956) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ ca(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956) ),
inference(resolve,[$cnf( cc(i2003_11_14_17_18_1956) )],[refute_0_7,refute_0_3]) ).
cnf(refute_0_9,plain,
( ~ cUnsatisfiable(X)
| ca(X)
| cb(X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_10,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_1956)
| ca(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(i2003_11_14_17_18_1956))]]) ).
cnf(refute_0_11,plain,
( ca(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956) ),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_1956) )],[refute_0_4,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ cb(X)
| ~ cc(X) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_13,plain,
( ~ cb(i2003_11_14_17_18_1956)
| ~ cc(i2003_11_14_17_18_1956) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(i2003_11_14_17_18_1956))]]) ).
cnf(refute_0_14,plain,
( ~ cUnsatisfiable(X)
| ca(X)
| cc(X) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_15,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_1956)
| ca(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(i2003_11_14_17_18_1956))]]) ).
cnf(refute_0_16,plain,
( ca(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_1956) )],[refute_0_4,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ cb(i2003_11_14_17_18_1956)
| ca(i2003_11_14_17_18_1956) ),
inference(resolve,[$cnf( cc(i2003_11_14_17_18_1956) )],[refute_0_16,refute_0_13]) ).
cnf(refute_0_18,plain,
ca(i2003_11_14_17_18_1956),
inference(resolve,[$cnf( cb(i2003_11_14_17_18_1956) )],[refute_0_11,refute_0_17]) ).
cnf(refute_0_19,plain,
cb(i2003_11_14_17_18_1956),
inference(resolve,[$cnf( ca(i2003_11_14_17_18_1956) )],[refute_0_18,refute_0_8]) ).
cnf(refute_0_20,plain,
~ ca(i2003_11_14_17_18_1956),
inference(resolve,[$cnf( cb(i2003_11_14_17_18_1956) )],[refute_0_19,refute_0_1]) ).
cnf(refute_0_21,plain,
$false,
inference(resolve,[$cnf( ca(i2003_11_14_17_18_1956) )],[refute_0_18,refute_0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS067+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n023.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 19:14:38 EDT 2022
% 0.13/0.33 % 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
% 0.13/0.35
%------------------------------------------------------------------------------