%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN363+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 09:01:48 EDT 2022
% Result : Theorem 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 6 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 40 ( 4 sgn 24 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2114,conjecture,
( ( ! [X] : big_r(X,b)
& ! [Y] :
( ? [Z] : big_r(Y,Z)
=> big_r(a,Y) ) )
=> ? [U] :
! [V] : big_r(U,V) ) ).
fof(subgoal_0,plain,
( ( ! [X] : big_r(X,b)
& ! [Y] :
( ? [Z] : big_r(Y,Z)
=> big_r(a,Y) ) )
=> ? [U] :
! [V] : big_r(U,V) ),
inference(strip,[],[x2114]) ).
fof(negate_0_0,plain,
~ ( ( ! [X] : big_r(X,b)
& ! [Y] :
( ? [Z] : big_r(Y,Z)
=> big_r(a,Y) ) )
=> ? [U] :
! [V] : big_r(U,V) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ! [U] :
? [V] : ~ big_r(U,V)
& ! [X] : big_r(X,b)
& ! [Y] :
( big_r(a,Y)
| ! [Z] : ~ big_r(Y,Z) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [U] :
? [V] : ~ big_r(U,V),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [U] :
? [V] : ~ big_r(U,V),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U] : ~ big_r(U,skolemFOFtoCNF_V(U)),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] : big_r(X,b),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [X] : big_r(X,b),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Y] :
( big_r(a,Y)
| ! [Z] : ~ big_r(Y,Z) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
! [Y] :
( big_r(a,Y)
| ! [Z] : ~ big_r(Y,Z) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [Y,Z] :
( ~ big_r(Y,Z)
| big_r(a,Y) ),
inference(clausify,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
~ big_r(U,skolemFOFtoCNF_V(U)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
~ big_r(a,skolemFOFtoCNF_V(a)),
inference(subst,[],[refute_0_0:[bind(U,$fot(a))]]) ).
cnf(refute_0_2,plain,
big_r(X,b),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
big_r(X_2,b),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_4,plain,
( ~ big_r(Y,Z)
| big_r(a,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ big_r(X_2,b)
| big_r(a,X_2) ),
inference(subst,[],[refute_0_4:[bind(Y,$fot(X_2)),bind(Z,$fot(b))]]) ).
cnf(refute_0_6,plain,
big_r(a,X_2),
inference(resolve,[$cnf( big_r(X_2,b) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
big_r(a,skolemFOFtoCNF_V(a)),
inference(subst,[],[refute_0_6:[bind(X_2,$fot(skolemFOFtoCNF_V(a)))]]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( big_r(a,skolemFOFtoCNF_V(a)) )],[refute_0_7,refute_0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN363+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 13:28:04 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36
% 0.15/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.37
%------------------------------------------------------------------------------