TSTP Solution File: SYN731+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN731+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 09:05:18 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 35 ( 1 sgn 17 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2150,conjecture,
? [W] :
( ! [X] :
? [Y] : p(W,X,Y)
=> ? [Z] : p(Z,Z,W) ) ).
fof(subgoal_0,plain,
? [W] :
( ! [X] :
? [Y] : p(W,X,Y)
=> ? [Z] : p(Z,Z,W) ),
inference(strip,[],[x2150]) ).
fof(negate_0_0,plain,
~ ? [W] :
( ! [X] :
? [Y] : p(W,X,Y)
=> ? [Z] : p(Z,Z,W) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ! [W,X] :
? [Y] : p(W,X,Y)
& ! [W,Z] : ~ p(Z,Z,W) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [W,Z] : ~ p(Z,Z,W),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [W,Z] : ~ p(Z,Z,W),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [W,X] :
? [Y] : p(W,X,Y),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [W,X] :
? [Y] : p(W,X,Y),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [W,X] : p(W,X,skolemFOFtoCNF_Y(W,X)),
inference(skolemize,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
~ p(Z,Z,W),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
~ p(X_3,X_3,skolemFOFtoCNF_Y(X_3,X_3)),
inference(subst,[],[refute_0_0:[bind(W,$fot(skolemFOFtoCNF_Y(X_3,X_3))),bind(Z,$fot(X_3))]]) ).
cnf(refute_0_2,plain,
p(W,X,skolemFOFtoCNF_Y(W,X)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
p(X_3,X_3,skolemFOFtoCNF_Y(X_3,X_3)),
inference(subst,[],[refute_0_2:[bind(W,$fot(X_3)),bind(X,$fot(X_3))]]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( p(X_3,X_3,skolemFOFtoCNF_Y(X_3,X_3)) )],[refute_0_3,refute_0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN731+1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n003.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 : Mon Jul 11 18:31:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------