%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN378+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 09:01:55 EDT 2022
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 23 ( 11 ~; 1 |; 5 &)
% ( 0 <=>; 6 =>; 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 : 17 ( 1 sgn 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2130,conjecture,
( ! [X] : big_p(X)
=> ( ~ ? [Y] : big_q(Y)
| ? [Z] :
( big_p(Z)
=> big_q(Z) ) ) ) ).
fof(subgoal_0,plain,
( ( ! [X] : big_p(X)
& ~ ~ ? [Y] : big_q(Y) )
=> ? [Z] :
( big_p(Z)
=> big_q(Z) ) ),
inference(strip,[],[x2130]) ).
fof(negate_0_0,plain,
~ ( ( ! [X] : big_p(X)
& ~ ~ ? [Y] : big_q(Y) )
=> ? [Z] :
( big_p(Z)
=> big_q(Z) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [Y] : big_q(Y)
& ! [X] : big_p(X)
& ! [Z] : ~ big_q(Z)
& ! [Z] : big_p(Z) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [Y] : big_q(Y),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
big_q(skolemFOFtoCNF_Y),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Z] : ~ big_q(Z),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [Z] : ~ big_q(Z),
inference(specialize,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
big_q(skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
~ big_q(Z),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
~ big_q(skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_1:[bind(Z,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( big_q(skolemFOFtoCNF_Y) )],[refute_0_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN378+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 19:01:58 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36
% 0.14/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.36
%------------------------------------------------------------------------------