TSTP Solution File: SYN082+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 08:59:25 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 35 ~; 20 |; 18 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 40 ( 0 sgn 23 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel60,conjecture,
! [X] :
( big_f(X,f(X))
<=> ? [Y] :
( ! [Z] :
( big_f(Z,Y)
=> big_f(Z,f(X)) )
& big_f(X,Y) ) ) ).
fof(subgoal_0,plain,
! [X] :
( big_f(X,f(X))
=> ? [Y] :
( ! [Z] :
( big_f(Z,Y)
=> big_f(Z,f(X)) )
& big_f(X,Y) ) ),
inference(strip,[],[pel60]) ).
fof(subgoal_1,plain,
! [X] :
( ? [Y] :
( ! [Z] :
( big_f(Z,Y)
=> big_f(Z,f(X)) )
& big_f(X,Y) )
=> big_f(X,f(X)) ),
inference(strip,[],[pel60]) ).
fof(negate_0_0,plain,
~ ! [X] :
( big_f(X,f(X))
=> ? [Y] :
( ! [Z] :
( big_f(Z,Y)
=> big_f(Z,f(X)) )
& big_f(X,Y) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X] :
( big_f(X,f(X))
& ! [Y] :
( ~ big_f(X,Y)
| ? [Z] :
( ~ big_f(Z,f(X))
& big_f(Z,Y) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( big_f(skolemFOFtoCNF_X,f(skolemFOFtoCNF_X))
& ! [Y] :
( ~ big_f(skolemFOFtoCNF_X,Y)
| ? [Z] :
( ~ big_f(Z,f(skolemFOFtoCNF_X))
& big_f(Z,Y) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
big_f(skolemFOFtoCNF_X,f(skolemFOFtoCNF_X)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y] :
( ~ big_f(skolemFOFtoCNF_X,Y)
| ? [Z] :
( ~ big_f(Z,f(skolemFOFtoCNF_X))
& big_f(Z,Y) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [Y] :
( ~ big_f(skolemFOFtoCNF_X,Y)
| ? [Z] :
( ~ big_f(Z,f(skolemFOFtoCNF_X))
& big_f(Z,Y) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [Y] :
( ( ~ big_f(skolemFOFtoCNF_X,Y)
| ~ big_f(skolemFOFtoCNF_Z(Y),f(skolemFOFtoCNF_X)) )
& ( ~ big_f(skolemFOFtoCNF_X,Y)
| big_f(skolemFOFtoCNF_Z(Y),Y) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Y] :
( ~ big_f(skolemFOFtoCNF_X,Y)
| big_f(skolemFOFtoCNF_Z(Y),Y) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [Y] :
( ~ big_f(skolemFOFtoCNF_X,Y)
| ~ big_f(skolemFOFtoCNF_Z(Y),f(skolemFOFtoCNF_X)) ),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
big_f(skolemFOFtoCNF_X,f(skolemFOFtoCNF_X)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ big_f(skolemFOFtoCNF_X,Y)
| big_f(skolemFOFtoCNF_Z(Y),Y) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ big_f(skolemFOFtoCNF_X,f(skolemFOFtoCNF_X))
| big_f(skolemFOFtoCNF_Z(f(skolemFOFtoCNF_X)),f(skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_1:[bind(Y,$fot(f(skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_3,plain,
big_f(skolemFOFtoCNF_Z(f(skolemFOFtoCNF_X)),f(skolemFOFtoCNF_X)),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X,f(skolemFOFtoCNF_X)) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ big_f(skolemFOFtoCNF_X,Y)
| ~ big_f(skolemFOFtoCNF_Z(Y),f(skolemFOFtoCNF_X)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
( ~ big_f(skolemFOFtoCNF_X,f(skolemFOFtoCNF_X))
| ~ big_f(skolemFOFtoCNF_Z(f(skolemFOFtoCNF_X)),f(skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_4:[bind(Y,$fot(f(skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_6,plain,
~ big_f(skolemFOFtoCNF_X,f(skolemFOFtoCNF_X)),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z(f(skolemFOFtoCNF_X)),f(skolemFOFtoCNF_X)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X,f(skolemFOFtoCNF_X)) )],[refute_0_0,refute_0_6]) ).
fof(negate_1_0,plain,
~ ! [X] :
( ? [Y] :
( ! [Z] :
( big_f(Z,Y)
=> big_f(Z,f(X)) )
& big_f(X,Y) )
=> big_f(X,f(X)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [X] :
( ~ big_f(X,f(X))
& ? [Y] :
( big_f(X,Y)
& ! [Z] :
( ~ big_f(Z,Y)
| big_f(Z,f(X)) ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ big_f(skolemFOFtoCNF_X_1,f(skolemFOFtoCNF_X_1))
& ? [Y] :
( big_f(skolemFOFtoCNF_X_1,Y)
& ! [Z] :
( ~ big_f(Z,Y)
| big_f(Z,f(skolemFOFtoCNF_X_1)) ) ) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
? [Y] :
( big_f(skolemFOFtoCNF_X_1,Y)
& ! [Z] :
( ~ big_f(Z,Y)
| big_f(Z,f(skolemFOFtoCNF_X_1)) ) ),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
( big_f(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y)
& ! [Z] :
( ~ big_f(Z,skolemFOFtoCNF_Y)
| big_f(Z,f(skolemFOFtoCNF_X_1)) ) ),
inference(skolemize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
big_f(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [Z] :
( ~ big_f(Z,skolemFOFtoCNF_Y)
| big_f(Z,f(skolemFOFtoCNF_X_1)) ),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_6,plain,
! [Z] :
( ~ big_f(Z,skolemFOFtoCNF_Y)
| big_f(Z,f(skolemFOFtoCNF_X_1)) ),
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
~ big_f(skolemFOFtoCNF_X_1,f(skolemFOFtoCNF_X_1)),
inference(conjunct,[],[normalize_1_1]) ).
cnf(refute_1_0,plain,
big_f(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_1,plain,
( ~ big_f(Z,skolemFOFtoCNF_Y)
| big_f(Z,f(skolemFOFtoCNF_X_1)) ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_2,plain,
( ~ big_f(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y)
| big_f(skolemFOFtoCNF_X_1,f(skolemFOFtoCNF_X_1)) ),
inference(subst,[],[refute_1_1:[bind(Z,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_3,plain,
big_f(skolemFOFtoCNF_X_1,f(skolemFOFtoCNF_X_1)),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y) )],[refute_1_0,refute_1_2]) ).
cnf(refute_1_4,plain,
~ big_f(skolemFOFtoCNF_X_1,f(skolemFOFtoCNF_X_1)),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_5,plain,
$false,
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X_1,f(skolemFOFtoCNF_X_1)) )],[refute_1_3,refute_1_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n010.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 19:48:15 EDT 2022
% 0.13/0.35 % 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
% 0.13/0.36
%------------------------------------------------------------------------------