TSTP Solution File: SYN413+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 09:02:13 EDT 2022
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 64 ( 29 ~; 18 |; 6 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 3 sgn 31 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish256,conjecture,
( ! [Z] :
? [Y] :
! [X] :
( f(X,Y)
<=> ( f(X,Z)
& ~ f(X,X) ) )
=> ~ ? [V] :
! [U] : f(U,V) ) ).
fof(subgoal_0,plain,
( ! [Z] :
? [Y] :
! [X] :
( f(X,Y)
<=> ( f(X,Z)
& ~ f(X,X) ) )
=> ! [V] :
~ ! [U] : f(U,V) ),
inference(strip,[],[kalish256]) ).
fof(negate_0_0,plain,
~ ( ! [Z] :
? [Y] :
! [X] :
( f(X,Y)
<=> ( f(X,Z)
& ~ f(X,X) ) )
=> ! [V] :
~ ! [U] : f(U,V) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [V] :
! [U] : f(U,V)
& ! [Z] :
? [Y] :
! [X] :
( ~ f(X,Y)
<=> ( ~ f(X,Z)
| f(X,X) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [V] :
! [U] : f(U,V),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [U] : f(U,skolemFOFtoCNF_V),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U] : f(U,skolemFOFtoCNF_V),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [Z] :
? [Y] :
! [X] :
( ~ f(X,Y)
<=> ( ~ f(X,Z)
| f(X,X) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [Z] :
? [Y] :
! [X] :
( ~ f(X,Y)
<=> ( ~ f(X,Z)
| f(X,X) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Z,X] :
( ~ f(X,skolemFOFtoCNF_Y(Z))
<=> ( ~ f(X,Z)
| f(X,X) ) ),
inference(skolemize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Z] :
( ~ f(X,skolemFOFtoCNF_Y(Z))
<=> ( ~ f(X,Z)
| f(X,X) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Z] :
( ( ~ f(X,X)
| ~ f(X,skolemFOFtoCNF_Y(Z)) )
& ( ~ f(X,skolemFOFtoCNF_Y(Z))
| f(X,Z) )
& ( ~ f(X,Z)
| f(X,X)
| f(X,skolemFOFtoCNF_Y(Z)) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X,Z] :
( ~ f(X,Z)
| f(X,X)
| f(X,skolemFOFtoCNF_Y(Z)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X,Z] :
( ~ f(X,X)
| ~ f(X,skolemFOFtoCNF_Y(Z)) ),
inference(conjunct,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
f(U,skolemFOFtoCNF_V),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
f(X_6,skolemFOFtoCNF_V),
inference(subst,[],[refute_0_0:[bind(U,$fot(X_6))]]) ).
cnf(refute_0_2,plain,
( ~ f(X,Z)
| f(X,X)
| f(X,skolemFOFtoCNF_Y(Z)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_3,plain,
( ~ f(X_6,skolemFOFtoCNF_V)
| f(X_6,X_6)
| f(X_6,skolemFOFtoCNF_Y(skolemFOFtoCNF_V)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_6)),bind(Z,$fot(skolemFOFtoCNF_V))]]) ).
cnf(refute_0_4,plain,
( f(X_6,X_6)
| f(X_6,skolemFOFtoCNF_Y(skolemFOFtoCNF_V)) ),
inference(resolve,[$cnf( f(X_6,skolemFOFtoCNF_V) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
f(skolemFOFtoCNF_Y(skolemFOFtoCNF_V),skolemFOFtoCNF_Y(skolemFOFtoCNF_V)),
inference(subst,[],[refute_0_4:[bind(X_6,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_V)))]]) ).
cnf(refute_0_6,plain,
( ~ f(X,X)
| ~ f(X,skolemFOFtoCNF_Y(Z)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
~ f(skolemFOFtoCNF_Y(skolemFOFtoCNF_V),skolemFOFtoCNF_Y(skolemFOFtoCNF_V)),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_V))),bind(Z,$fot(skolemFOFtoCNF_V))]]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( f(skolemFOFtoCNF_Y(skolemFOFtoCNF_V),skolemFOFtoCNF_Y(skolemFOFtoCNF_V)) )],[refute_0_5,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % 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 Jul 12 00:06:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Theorem 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
%------------------------------------------------------------------------------