%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN948+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 09:12:23 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 6 ~; 0 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 23 ( 0 sgn 11 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ! [X] :
? [Y] :
( a(X,Y)
& a(Y,Y) )
=> ? [Z] : a(Z,Z) ) ).
fof(subgoal_0,plain,
( ! [X] :
? [Y] :
( a(X,Y)
& a(Y,Y) )
=> ? [Z] : a(Z,Z) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ( ! [X] :
? [Y] :
( a(X,Y)
& a(Y,Y) )
=> ? [Z] : a(Z,Z) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ! [X] :
? [Y] :
( a(X,Y)
& a(Y,Y) )
& ! [Z] : ~ a(Z,Z) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X] :
? [Y] :
( a(X,Y)
& a(Y,Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
? [Y] :
( a(X,Y)
& a(Y,Y) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( a(X,skolemFOFtoCNF_Y(X))
& a(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X)) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] : a(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [Z] : ~ a(Z,Z),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
! [Z] : ~ a(Z,Z),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
a(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
~ a(Z,Z),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
~ a(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X)),
inference(subst,[],[refute_0_1:[bind(Z,$fot(skolemFOFtoCNF_Y(X)))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( a(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X)) )],[refute_0_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN948+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.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 : Mon Jul 11 14:05:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------