TSTP Solution File: SYN963+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN963+1 : TPTP v8.1.0. Released v3.1.0.
% 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 09:12:29 EDT 2022
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 0 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 2 sgn 6 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ? [X] : p(X)
<=> ? [Y] : p(Y) ) ).
fof(subgoal_0,plain,
( ? [X] : p(X)
=> ? [Y] : p(Y) ),
inference(strip,[],[prove_this]) ).
fof(subgoal_1,plain,
( ? [Y] : p(Y)
=> ? [X] : p(X) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ( ? [X] : p(X)
=> ? [Y] : p(Y) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X] : p(X)
& ! [Y] : ~ p(Y) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [X] : p(X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
p(skolemFOFtoCNF_X),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y] : ~ p(Y),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [Y] : ~ p(Y),
inference(specialize,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
p(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
~ p(Y),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
~ p(skolemFOFtoCNF_X),
inference(subst,[],[refute_0_1:[bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_X) )],[refute_0_0,refute_0_2]) ).
fof(negate_1_0,plain,
~ ( ? [Y] : p(Y)
=> ? [X] : p(X) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ? [Y] : p(Y)
& ! [X] : ~ p(X) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
? [Y] : p(Y),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
p(skolemFOFtoCNF_Y),
inference(skolemize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [X] : ~ p(X),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_4,plain,
! [X] : ~ p(X),
inference(specialize,[],[normalize_1_3]) ).
cnf(refute_1_0,plain,
p(skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
~ p(X),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
~ p(skolemFOFtoCNF_Y),
inference(subst,[],[refute_1_1:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_1_3,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_Y) )],[refute_1_0,refute_1_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN963+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 21:37:27 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36
% 0.14/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.37
%------------------------------------------------------------------------------