%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN412+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 6 |; 1 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 16 ( 3 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish255,conjecture,
~ ? [X] :
! [Y] :
( f(X,Y)
<=> ~ f(X,X) ) ).
fof(subgoal_0,plain,
! [X] :
~ ! [Y] :
( f(X,Y)
<=> ~ f(X,X) ),
inference(strip,[],[kalish255]) ).
fof(negate_0_0,plain,
~ ! [X] :
~ ! [Y] :
( f(X,Y)
<=> ~ f(X,X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X] :
! [Y] :
( ~ f(X,X)
<=> f(X,Y) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [Y] :
( ~ f(skolemFOFtoCNF_X,Y)
<=> f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Y] :
( ~ f(skolemFOFtoCNF_X,Y)
<=> f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y] :
( ( ~ f(skolemFOFtoCNF_X,Y)
| ~ f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )
& ( f(skolemFOFtoCNF_X,Y)
| f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [Y] :
( ~ f(skolemFOFtoCNF_X,Y)
| ~ f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [Y] :
( f(skolemFOFtoCNF_X,Y)
| f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
( ~ f(skolemFOFtoCNF_X,Y)
| ~ f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
~ f(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(subst,[],[refute_0_0:[bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
( f(skolemFOFtoCNF_X,Y)
| f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
f(skolemFOFtoCNF_X,Y),
inference(resolve,[$cnf( f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
f(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(subst,[],[refute_0_3:[bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( f(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_4,refute_0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN412+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 12:55:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34
% 0.11/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.11/0.34
%------------------------------------------------------------------------------