%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% 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 09:05:17 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 104 ( 38 ~; 29 |; 25 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 42 ( 0 sgn 26 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm72,conjecture,
( ( ! [X] :
? [Y] :
( p(X)
=> ( l(X,g(h(Y)))
& p(Y) ) )
& ! [W] :
( p(W)
=> ( p(g(W))
& p(h(W)) ) ) )
=> ! [X] :
( p(X)
=> ? [Y] :
( l(X,Y)
& p(Y) ) ) ) ).
fof(subgoal_0,plain,
( ( ! [X] :
? [Y] :
( p(X)
=> ( l(X,g(h(Y)))
& p(Y) ) )
& ! [W] :
( p(W)
=> ( p(g(W))
& p(h(W)) ) ) )
=> ! [X] :
( p(X)
=> ? [Y] :
( l(X,Y)
& p(Y) ) ) ),
inference(strip,[],[thm72]) ).
fof(negate_0_0,plain,
~ ( ( ! [X] :
? [Y] :
( p(X)
=> ( l(X,g(h(Y)))
& p(Y) ) )
& ! [W] :
( p(W)
=> ( p(g(W))
& p(h(W)) ) ) )
=> ! [X] :
( p(X)
=> ? [Y] :
( l(X,Y)
& p(Y) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X] :
( p(X)
& ! [Y] :
( ~ l(X,Y)
| ~ p(Y) ) )
& ! [W] :
( ~ p(W)
| ( p(g(W))
& p(h(W)) ) )
& ! [X] :
( ~ p(X)
| ? [Y] :
( l(X,g(h(Y)))
& p(Y) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [X] :
( p(X)
& ! [Y] :
( ~ l(X,Y)
| ~ p(Y) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( p(skolemFOFtoCNF_X)
& ! [Y] :
( ~ l(skolemFOFtoCNF_X,Y)
| ~ p(Y) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y] :
( ~ l(skolemFOFtoCNF_X,Y)
| ~ p(Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [Y] :
( ~ l(skolemFOFtoCNF_X,Y)
| ~ p(Y) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
p(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ p(X)
| ? [Y] :
( l(X,g(h(Y)))
& p(Y) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ p(X)
| ? [Y] :
( l(X,g(h(Y)))
& p(Y) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ( ~ p(X)
| l(X,g(h(skolemFOFtoCNF_Y(X)))) )
& ( ~ p(X)
| p(skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ p(X)
| l(X,g(h(skolemFOFtoCNF_Y(X)))) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [W] :
( ~ p(W)
| ( p(g(W))
& p(h(W)) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_11,plain,
! [W] :
( ~ p(W)
| ( p(g(W))
& p(h(W)) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [W] :
( ( ~ p(W)
| p(g(W)) )
& ( ~ p(W)
| p(h(W)) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [W] :
( ~ p(W)
| p(g(W)) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ p(X)
| p(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_15,plain,
! [W] :
( ~ p(W)
| p(h(W)) ),
inference(conjunct,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
( ~ l(skolemFOFtoCNF_X,Y)
| ~ p(Y) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( ~ l(skolemFOFtoCNF_X,g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X))))
| ~ p(g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))) ),
inference(subst,[],[refute_0_0:[bind(Y,$fot(g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))))]]) ).
cnf(refute_0_2,plain,
p(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ p(X)
| l(X,g(h(skolemFOFtoCNF_Y(X)))) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( ~ p(skolemFOFtoCNF_X)
| l(skolemFOFtoCNF_X,g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
l(skolemFOFtoCNF_X,g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
~ p(g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))),
inference(resolve,[$cnf( l(skolemFOFtoCNF_X,g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
( ~ p(W)
| p(g(W)) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_8,plain,
( ~ p(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))
| p(g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))) ),
inference(subst,[],[refute_0_7:[bind(W,$fot(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X))))]]) ).
cnf(refute_0_9,plain,
( ~ p(X)
| p(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_10,plain,
( ~ p(skolemFOFtoCNF_X)
| p(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_11,plain,
p(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X) )],[refute_0_2,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ p(W)
| p(h(W)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_13,plain,
( ~ p(skolemFOFtoCNF_Y(skolemFOFtoCNF_X))
| p(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X))) ),
inference(subst,[],[refute_0_12:[bind(W,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_14,plain,
p(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X))),
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
p(g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))),
inference(resolve,[$cnf( p(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X))) )],[refute_0_14,refute_0_8]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( p(g(h(skolemFOFtoCNF_Y(skolemFOFtoCNF_X)))) )],[refute_0_15,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n026.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 : Mon Jul 11 14:00:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48
% 0.19/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.48
%------------------------------------------------------------------------------