%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN929+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 09:12:15 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 0 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 16 ( 1 sgn 6 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ~ ? [Y] : p(Y)
=> ! [Y] :
( ? [X] : p(X)
=> p(Y) ) ) ).
fof(subgoal_0,plain,
( ~ ? [Y] : p(Y)
=> ! [Y] :
( ? [X] : p(X)
=> p(Y) ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ( ~ ? [Y] : p(Y)
=> ! [Y] :
( ? [X] : p(X)
=> p(Y) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X] : p(X)
& ? [Y] : ~ p(Y)
& ! [Y] : ~ p(Y) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [X] : p(X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
p(skolemFOFtoCNF_X),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y] : ~ p(Y),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [Y] : ~ p(Y),
inference(specialize,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
p(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
~ p(Y),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
~ p(skolemFOFtoCNF_X),
inference(subst,[],[refute_0_1:[bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_X) )],[refute_0_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN929+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n015.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 22:54:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------