TSTP Solution File: SYN937+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN937+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 09:12:18 EDT 2022
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 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 : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 22 ( 0 sgn 13 !; 9 ?)
% 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,
? [X] : p(X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( c
| ! [X] : ~ p(X) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
~ c,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [X] : ~ p(X),
inference(simplify,[],[normalize_0_2,normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] : ~ p(X),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
$false,
inference(simplify,[],[normalize_0_1,normalize_0_5]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_6]) ).
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,
? [X] : p(X),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( c
| ! [X] : ~ p(X) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_3,plain,
~ c,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_4,plain,
! [X] : ~ p(X),
inference(simplify,[],[normalize_1_2,normalize_1_3]) ).
fof(normalize_1_5,plain,
! [X] : ~ p(X),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
$false,
inference(simplify,[],[normalize_1_1,normalize_1_5]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN937+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n024.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 : Mon Jul 11 13:46:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------