%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% 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 09:05:19 EDT 2022
% Result : Theorem 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 24 ( 8 ~; 4 |; 3 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 40 ( 2 sgn 23 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x3411,conjecture,
( ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) )
=> ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( p(Z,W)
| q(W,Z) ) ) ) ).
fof(subgoal_0,plain,
( ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) )
=> ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( p(Z,W)
| q(W,Z) ) ) ),
inference(strip,[],[x3411]) ).
fof(negate_0_0,plain,
~ ( ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) )
=> ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( p(Z,W)
| q(W,Z) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ! [Y] :
( ? [X] : ~ p(X,Y)
| ! [U] : q(U,Y) )
& ! [Z] :
? [V] : p(V,Z)
& ! [W,Z] : ~ p(Z,W)
& ! [W,Z] : ~ q(W,Z) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [Z] :
? [V] : p(V,Z),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Z] :
? [V] : p(V,Z),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Z] : p(skolemFOFtoCNF_V(Z),Z),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W,Z] : ~ p(Z,W),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [W,Z] : ~ p(Z,W),
inference(specialize,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
p(skolemFOFtoCNF_V(Z),Z),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
~ p(Z,W),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
~ p(skolemFOFtoCNF_V(Z),Z),
inference(subst,[],[refute_0_1:[bind(W,$fot(Z)),bind(Z,$fot(skolemFOFtoCNF_V(Z)))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_V(Z),Z) )],[refute_0_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n015.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 14:48:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34
% 0.19/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.34
%------------------------------------------------------------------------------