%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN733+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 33 ( 11 ~; 11 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 25 ( 4 sgn 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(y2141,conjecture,
( ! [X] :
? [Y] :
( p(X)
& ( q(Y)
| q(X) ) )
=> ? [Z] :
( p(Z)
& q(Z) ) ) ).
fof(subgoal_0,plain,
( ! [X] :
? [Y] :
( p(X)
& ( q(Y)
| q(X) ) )
=> ? [Z] :
( p(Z)
& q(Z) ) ),
inference(strip,[],[y2141]) ).
fof(negate_0_0,plain,
~ ( ! [X] :
? [Y] :
( p(X)
& ( q(Y)
| q(X) ) )
=> ? [Z] :
( p(Z)
& q(Z) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ( ? [Y] : q(Y)
| ! [X] : q(X) )
& ! [X] : p(X)
& ! [Z] :
( ~ p(Z)
| ~ q(Z) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [Y] : q(Y)
| ! [X] : q(X) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( q(X)
| q(skolemFOFtoCNF_Y) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Z] :
( ~ p(Z)
| ~ q(Z) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [Z] :
( ~ p(Z)
| ~ q(Z) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] : p(X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
! [X] : p(X),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( q(X)
| q(skolemFOFtoCNF_Y) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
q(skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_2,plain,
( ~ p(Z)
| ~ q(Z) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
p(X),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
p(Z),
inference(subst,[],[refute_0_3:[bind(X,$fot(Z))]]) ).
cnf(refute_0_5,plain,
~ q(Z),
inference(resolve,[$cnf( p(Z) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
~ q(skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_5:[bind(Z,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN733+1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n017.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 18:34:04 EDT 2022
% 0.12/0.34 % 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
%------------------------------------------------------------------------------