TSTP Solution File: SYN326+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 09:01:19 EDT 2022
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 93 ( 23 ~; 22 |; 24 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 37 ( 4 sgn 17 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_1,conjecture,
? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ) ).
fof(subgoal_0,plain,
? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ),
inference(strip,[],[church_46_12_1]) ).
fof(negate_0_0,plain,
~ ? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
? [Y,Z] :
( ~ big_f(Z,Z)
& big_f(X,Y)
& ( big_f(X,X)
| ( ~ big_h(X)
& big_f(Y,Z)
& big_g(Y) ) )
& ( big_h(Z)
| ( ~ big_g(X)
& big_f(Z,X) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X] :
? [Y,Z] :
( ~ big_f(Z,Z)
& big_f(X,Y)
& ( big_f(X,X)
| ( ~ big_h(X)
& big_f(Y,Z)
& big_g(Y) ) )
& ( big_h(Z)
| ( ~ big_g(X)
& big_f(Z,X) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ big_f(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_Z(X))
& big_f(X,skolemFOFtoCNF_Y(X))
& ( big_f(X,X)
| ( ~ big_h(X)
& big_f(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X))
& big_g(skolemFOFtoCNF_Y(X)) ) )
& ( big_h(skolemFOFtoCNF_Z(X))
| ( ~ big_g(X)
& big_f(skolemFOFtoCNF_Z(X),X) ) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( big_f(X,X)
| ( ~ big_h(X)
& big_f(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X))
& big_g(skolemFOFtoCNF_Y(X)) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ( ~ big_h(X)
| big_f(X,X) )
& ( big_f(X,X)
| big_f(skolemFOFtoCNF_Y(X),skolemFOFtoCNF_Z(X)) )
& ( big_f(X,X)
| big_g(skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ big_h(X)
| big_f(X,X) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( big_h(skolemFOFtoCNF_Z(X))
| ( ~ big_g(X)
& big_f(skolemFOFtoCNF_Z(X),X) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_7,plain,
! [X] :
( ( ~ big_g(X)
| big_h(skolemFOFtoCNF_Z(X)) )
& ( big_f(skolemFOFtoCNF_Z(X),X)
| big_h(skolemFOFtoCNF_Z(X)) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ big_g(X)
| big_h(skolemFOFtoCNF_Z(X)) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] : ~ big_f(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_Z(X)),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_10,plain,
! [X] :
( big_f(X,X)
| big_g(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
( ~ big_h(X)
| big_f(X,X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
( ~ big_h(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6))))
| big_f(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6)))) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6)))))]]) ).
cnf(refute_0_2,plain,
( ~ big_g(X)
| big_h(skolemFOFtoCNF_Z(X)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_3,plain,
( ~ big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_5)))
| big_h(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_5)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_5))))]]) ).
cnf(refute_0_4,plain,
~ big_f(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_Z(X)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( big_f(X,X)
| big_g(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_6,plain,
( big_f(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_Z(X))
| big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_Z(X)))]]) ).
cnf(refute_0_7,plain,
big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X))),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z(X),skolemFOFtoCNF_Z(X)) )],[refute_0_6,refute_0_4]) ).
cnf(refute_0_8,plain,
big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_5))),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_9,plain,
big_h(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_5)))),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_5))) )],[refute_0_8,refute_0_3]) ).
cnf(refute_0_10,plain,
big_h(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6)))),
inference(subst,[],[refute_0_9:[bind(X_5,$fot(X_6))]]) ).
cnf(refute_0_11,plain,
big_f(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6)))),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6)))) )],[refute_0_10,refute_0_1]) ).
cnf(refute_0_12,plain,
~ big_f(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6))))]]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y(skolemFOFtoCNF_Z(X_6)))) )],[refute_0_11,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 08:52:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------