%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN724+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 09:05:13 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 68 ( 21 ~; 6 |; 11 &)
% ( 7 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 ( 0 sgn 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm31,conjecture,
( ! [X] :
( r(X)
=> s(X) )
<=> ! [X] :
( ( r(X)
& s(X) )
<=> r(X) ) ) ).
fof(subgoal_0,plain,
( ! [X] :
( r(X)
=> s(X) )
=> ! [X] :
( ( r(X)
& s(X) )
=> r(X) ) ),
inference(strip,[],[thm31]) ).
fof(subgoal_1,plain,
( ! [X] :
( r(X)
=> s(X) )
=> ! [X] :
( r(X)
=> r(X) ) ),
inference(strip,[],[thm31]) ).
fof(subgoal_2,plain,
( ! [X] :
( r(X)
=> s(X) )
=> ! [X] :
( ( r(X)
& r(X) )
=> s(X) ) ),
inference(strip,[],[thm31]) ).
fof(subgoal_3,plain,
( ! [X] :
( ( r(X)
& s(X) )
<=> r(X) )
=> ! [X] :
( r(X)
=> s(X) ) ),
inference(strip,[],[thm31]) ).
fof(negate_0_0,plain,
~ ( ! [X] :
( r(X)
=> s(X) )
=> ! [X] :
( ( r(X)
& s(X) )
=> r(X) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
$false,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_0]) ).
fof(negate_1_0,plain,
~ ( ! [X] :
( r(X)
=> s(X) )
=> ! [X] :
( r(X)
=> r(X) ) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
$false,
inference(canonicalize,[],[negate_1_0]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_0]) ).
fof(negate_2_0,plain,
~ ( ! [X] :
( r(X)
=> s(X) )
=> ! [X] :
( ( r(X)
& r(X) )
=> s(X) ) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
$false,
inference(canonicalize,[],[negate_2_0]) ).
cnf(refute_2_0,plain,
$false,
inference(canonicalize,[],[normalize_2_0]) ).
fof(negate_3_0,plain,
~ ( ! [X] :
( ( r(X)
& s(X) )
<=> r(X) )
=> ! [X] :
( r(X)
=> s(X) ) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( ? [X] :
( ~ s(X)
& r(X) )
& ! [X] :
( ~ r(X)
<=> ( ~ r(X)
| ~ s(X) ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
? [X] :
( ~ s(X)
& r(X) ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
( ~ s(skolemFOFtoCNF_X)
& r(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_3_1]) ).
fof(normalize_3_3,plain,
r(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_4,plain,
! [X] :
( ~ r(X)
<=> ( ~ r(X)
| ~ s(X) ) ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_5,plain,
! [X] :
( ~ r(X)
<=> ( ~ r(X)
| ~ s(X) ) ),
inference(specialize,[],[normalize_3_4]) ).
fof(normalize_3_6,plain,
! [X] :
( ~ r(X)
| s(X) ),
inference(clausify,[],[normalize_3_5]) ).
fof(normalize_3_7,plain,
~ s(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_3_2]) ).
cnf(refute_3_0,plain,
r(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_3_3]) ).
cnf(refute_3_1,plain,
( ~ r(X)
| s(X) ),
inference(canonicalize,[],[normalize_3_6]) ).
cnf(refute_3_2,plain,
( ~ r(skolemFOFtoCNF_X)
| s(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_3_1:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_3_3,plain,
s(skolemFOFtoCNF_X),
inference(resolve,[$cnf( r(skolemFOFtoCNF_X) )],[refute_3_0,refute_3_2]) ).
cnf(refute_3_4,plain,
~ s(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_3_7]) ).
cnf(refute_3_5,plain,
$false,
inference(resolve,[$cnf( s(skolemFOFtoCNF_X) )],[refute_3_3,refute_3_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN724+1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n012.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 01:52:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.35
%------------------------------------------------------------------------------