%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN935+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 09:12:17 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 27 ( 18 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 16 ~; 4 |; 6 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 2 sgn 11 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ? [X] :
( p(X)
=> c )
<=> ( ! [X] : p(X)
=> c ) ) ).
fof(subgoal_0,plain,
( ( ? [X] :
( p(X)
=> c )
& ! [X] : p(X) )
=> c ),
inference(strip,[],[prove_this]) ).
fof(subgoal_1,plain,
( ( ! [X] : p(X)
=> c )
=> ? [X] :
( p(X)
=> c ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ( ( ? [X] :
( p(X)
=> c )
& ! [X] : p(X) )
=> c ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ c
& ( c
| ? [X] : ~ p(X) )
& ! [X] : p(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( c
| ? [X] : ~ p(X) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ c,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
? [X] : ~ p(X),
inference(simplify,[],[normalize_0_1,normalize_0_2]) ).
fof(normalize_0_4,plain,
~ p(skolemFOFtoCNF_X),
inference(skolemize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] : p(X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
! [X] : p(X),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
~ p(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
p(X),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
p(skolemFOFtoCNF_X),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_X) )],[refute_0_2,refute_0_0]) ).
fof(negate_1_0,plain,
~ ( ( ! [X] : p(X)
=> c )
=> ? [X] :
( p(X)
=> c ) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ~ c
& ( c
| ? [X] : ~ p(X) )
& ! [X] : p(X) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( c
| ? [X] : ~ p(X) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
~ c,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_3,plain,
? [X] : ~ p(X),
inference(simplify,[],[normalize_1_1,normalize_1_2]) ).
fof(normalize_1_4,plain,
~ p(skolemFOFtoCNF_X_1),
inference(skolemize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [X] : p(X),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_6,plain,
! [X] : p(X),
inference(specialize,[],[normalize_1_5]) ).
cnf(refute_1_0,plain,
~ p(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_1,plain,
p(X),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_2,plain,
p(skolemFOFtoCNF_X_1),
inference(subst,[],[refute_1_1:[bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_3,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_X_1) )],[refute_1_2,refute_1_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN935+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 07:14:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------