%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN325+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 09:01:18 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 57 ( 16 ~; 15 |; 17 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 25 ( 4 sgn 11 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_9_2,conjecture,
? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_f(X,Y)
& big_g(X) ) )
=> big_g(Y) ) ).
fof(subgoal_0,plain,
? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_f(X,Y)
& big_g(X) ) )
=> big_g(Y) ),
inference(strip,[],[church_46_9_2]) ).
fof(negate_0_0,plain,
~ ? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_f(X,Y)
& big_g(X) ) )
=> big_g(Y) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
? [Y] :
( ~ big_g(Y)
& ( ( ~ big_f(Y,Y)
& big_f(X,X) )
| ( big_f(X,Y)
& big_g(X) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X] :
? [Y] :
( ~ big_g(Y)
& ( ( ~ big_f(Y,Y)
& big_f(X,X) )
| ( big_f(X,Y)
& big_g(X) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ big_g(skolemFOFtoCNF_Y(X))
& ( ( ~ big_f(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X))
& big_f(X,X) )
| ( big_f(X,skolemFOFtoCNF_Y(X))
& big_g(X) ) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] : ~ big_g(skolemFOFtoCNF_Y(X)),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ( ~ big_f(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X))
& big_f(X,X) )
| ( big_f(X,skolemFOFtoCNF_Y(X))
& big_g(X) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
! [X] :
( ( ~ big_f(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X))
| big_f(X,skolemFOFtoCNF_Y(X)) )
& ( ~ big_f(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X))
| big_g(X) )
& ( big_f(X,X)
| big_f(X,skolemFOFtoCNF_Y(X)) )
& ( big_f(X,X)
| big_g(X) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( big_f(X,X)
| big_g(X) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ big_f(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X))
| big_g(X) ),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
~ big_g(skolemFOFtoCNF_Y(X)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( big_f(X,X)
| big_g(X) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( big_f(skolemFOFtoCNF_Y(X_2),skolemFOFtoCNF_Y(X_2))
| big_g(skolemFOFtoCNF_Y(X_2)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_Y(X_2)))]]) ).
cnf(refute_0_3,plain,
( ~ big_f(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Y(X))
| big_g(X) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ big_f(skolemFOFtoCNF_Y(X_2),skolemFOFtoCNF_Y(X_2))
| big_g(X_2) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_5,plain,
( big_g(X_2)
| big_g(skolemFOFtoCNF_Y(X_2)) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Y(X_2),skolemFOFtoCNF_Y(X_2)) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
~ big_g(skolemFOFtoCNF_Y(X_2)),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_7,plain,
big_g(X_2),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Y(X_2)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
big_g(skolemFOFtoCNF_Y(X)),
inference(subst,[],[refute_0_7:[bind(X_2,$fot(skolemFOFtoCNF_Y(X)))]]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Y(X)) )],[refute_0_8,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN325+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.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 18:12:23 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
%------------------------------------------------------------------------------