TSTP Solution File: SYN081+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN081+1 : TPTP v8.1.0. Released v2.0.0.
% 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 08:59:25 EDT 2022
% Result : Theorem 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 22 ~; 17 |; 4 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 26 ( 4 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel59_1,axiom,
! [X] :
( big_f(X)
<=> ~ big_f(f(X)) ) ).
fof(pel59,conjecture,
? [X] :
( big_f(X)
& ~ big_f(f(X)) ) ).
fof(subgoal_0,plain,
? [X] :
( big_f(X)
& ~ big_f(f(X)) ),
inference(strip,[],[pel59]) ).
fof(negate_0_0,plain,
~ ? [X] :
( big_f(X)
& ~ big_f(f(X)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
( ~ big_f(X)
<=> big_f(f(X)) ),
inference(canonicalize,[],[pel59_1]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ big_f(X)
<=> big_f(f(X)) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ( ~ big_f(X)
| ~ big_f(f(X)) )
& ( big_f(X)
| big_f(f(X)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ big_f(X)
| ~ big_f(f(X)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( big_f(X)
| big_f(f(X)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ big_f(X)
| big_f(f(X)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ big_f(X)
| big_f(f(X)) ),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ big_f(X)
| ~ big_f(f(X)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( big_f(X)
| big_f(f(X)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( big_f(X_4)
| big_f(f(X_4)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_3,plain,
( ~ big_f(f(X_3))
| ~ big_f(f(f(X_3))) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(f(X_3)))]]) ).
cnf(refute_0_4,plain,
( ~ big_f(X)
| big_f(f(X)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
( ~ big_f(f(X_2))
| big_f(f(f(X_2))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(f(X_2)))]]) ).
cnf(refute_0_6,plain,
( big_f(X_2)
| big_f(f(X_2)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_7,plain,
( big_f(X_2)
| big_f(f(f(X_2))) ),
inference(resolve,[$cnf( big_f(f(X_2)) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
( big_f(X_3)
| big_f(f(f(X_3))) ),
inference(subst,[],[refute_0_7:[bind(X_2,$fot(X_3))]]) ).
cnf(refute_0_9,plain,
( ~ big_f(f(X_3))
| big_f(X_3) ),
inference(resolve,[$cnf( big_f(f(f(X_3))) )],[refute_0_8,refute_0_3]) ).
cnf(refute_0_10,plain,
( ~ big_f(f(X_4))
| big_f(X_4) ),
inference(subst,[],[refute_0_9:[bind(X_3,$fot(X_4))]]) ).
cnf(refute_0_11,plain,
big_f(X_4),
inference(resolve,[$cnf( big_f(f(X_4)) )],[refute_0_2,refute_0_10]) ).
cnf(refute_0_12,plain,
big_f(f(X)),
inference(subst,[],[refute_0_11:[bind(X_4,$fot(f(X)))]]) ).
cnf(refute_0_13,plain,
~ big_f(X),
inference(resolve,[$cnf( big_f(f(X)) )],[refute_0_12,refute_0_0]) ).
cnf(refute_0_14,plain,
big_f(X),
inference(subst,[],[refute_0_11:[bind(X_4,$fot(X))]]) ).
cnf(refute_0_15,plain,
$false,
inference(resolve,[$cnf( big_f(X) )],[refute_0_14,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN081+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % 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 : Mon Jul 11 16:14:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33
% 0.12/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------