%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN369+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 09:01:51 EDT 2022
% Result : Theorem 0.19s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 8 ~; 9 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 45 ( 5 sgn 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2120,conjecture,
( ! [U,V,W] :
( big_p(U,V)
| big_p(V,W) )
=> ? [X] :
! [Y] : big_p(X,Y) ) ).
fof(subgoal_0,plain,
( ! [U,V,W] :
( big_p(U,V)
| big_p(V,W) )
=> ? [X] :
! [Y] : big_p(X,Y) ),
inference(strip,[],[x2120]) ).
fof(negate_0_0,plain,
~ ( ! [U,V,W] :
( big_p(U,V)
| big_p(V,W) )
=> ? [X] :
! [Y] : big_p(X,Y) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ! [X] :
? [Y] : ~ big_p(X,Y)
& ! [U,V] :
( big_p(U,V)
| ! [W] : big_p(V,W) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X] :
? [Y] : ~ big_p(X,Y),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
? [Y] : ~ big_p(X,Y),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] : ~ big_p(X,skolemFOFtoCNF_Y(X)),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [U,V] :
( big_p(U,V)
| ! [W] : big_p(V,W) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [U,V] :
( big_p(U,V)
| ! [W] : big_p(V,W) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [U,V,W] :
( big_p(U,V)
| big_p(V,W) ),
inference(clausify,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
~ big_p(X,skolemFOFtoCNF_Y(X)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
~ big_p(X_5,skolemFOFtoCNF_Y(X_5)),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_2,plain,
~ big_p(X_3,skolemFOFtoCNF_Y(X_3)),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_3,plain,
( big_p(U,V)
| big_p(V,W) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( big_p(X_2,X_3)
| big_p(X_3,skolemFOFtoCNF_Y(X_3)) ),
inference(subst,[],[refute_0_3:[bind(U,$fot(X_2)),bind(V,$fot(X_3)),bind(W,$fot(skolemFOFtoCNF_Y(X_3)))]]) ).
cnf(refute_0_5,plain,
big_p(X_2,X_3),
inference(resolve,[$cnf( big_p(X_3,skolemFOFtoCNF_Y(X_3)) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
big_p(X_5,skolemFOFtoCNF_Y(X_5)),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_5)),bind(X_3,$fot(skolemFOFtoCNF_Y(X_5)))]]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( big_p(X_5,skolemFOFtoCNF_Y(X_5)) )],[refute_0_6,refute_0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN369+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 08:28:07 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.19/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35
% 0.19/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.35
%------------------------------------------------------------------------------