%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN919+1 : TPTP v8.1.0. Released v3.1.0.
% 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 09:12:11 EDT 2022
% Result : Theorem 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 63 ( 23 ~; 17 |; 11 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn 36 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ( ! [X,Y] :
( r(X,Y)
=> r(Y,X) )
& ! [X,Y,Z] :
( ( r(X,Y)
& r(Y,Z) )
=> r(X,Z) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ) ).
fof(subgoal_0,plain,
( ( ! [X,Y] :
( r(X,Y)
=> r(Y,X) )
& ! [X,Y,Z] :
( ( r(X,Y)
& r(Y,Z) )
=> r(X,Z) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ( ( ! [X,Y] :
( r(X,Y)
=> r(Y,X) )
& ! [X,Y,Z] :
( ( r(X,Y)
& r(Y,Z) )
=> r(X,Z) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X] :
( ~ r(X,X)
& ? [Y] : r(X,Y) )
& ! [X,Y] :
( ~ r(X,Y)
| r(Y,X) )
& ! [X,Y,Z] :
( ~ r(X,Y)
| ~ r(Y,Z)
| r(X,Z) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [X] :
( ~ r(X,X)
& ? [Y] : r(X,Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ r(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
& ? [Y] : r(skolemFOFtoCNF_X,Y) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
? [Y] : r(skolemFOFtoCNF_X,Y),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
r(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(skolemize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ r(X,Y)
| r(Y,X) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ r(X,Y)
| r(Y,X) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y,Z] :
( ~ r(X,Y)
| ~ r(Y,Z)
| r(X,Z) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_8,plain,
! [X,Y,Z] :
( ~ r(X,Y)
| ~ r(Y,Z)
| r(X,Z) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
~ r(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
r(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( ~ r(X,Y)
| r(Y,X) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ r(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| r(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_3,plain,
r(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ r(X,Y)
| ~ r(Y,Z)
| r(X,Z) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ r(X_2,skolemFOFtoCNF_Y)
| ~ r(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)
| r(X_2,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_2)),bind(Y,$fot(skolemFOFtoCNF_Y)),bind(Z,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
( ~ r(X_2,skolemFOFtoCNF_Y)
| r(X_2,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ r(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| r(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_6:[bind(X_2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_8,plain,
r(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_0,refute_0_7]) ).
cnf(refute_0_9,plain,
~ r(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( r(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_8,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN919+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jul 12 04:17:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33
% 0.12/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.33
%------------------------------------------------------------------------------