TSTP Solution File: SYN381+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN381+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 09:01:56 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 59 ( 17 ~; 24 |; 9 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 58 ( 2 sgn 33 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2133,conjecture,
( ( ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) )
& ! [V] :
? [U] : big_q(U,V)
& ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,W)
| big_q(Z,Z) ) ) )
=> ! [Z] : big_p(Z) ) ).
fof(subgoal_0,plain,
( ( ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) )
& ! [V] :
? [U] : big_q(U,V)
& ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,W)
| big_q(Z,Z) ) ) )
=> ! [Z] : big_p(Z) ),
inference(strip,[],[x2133]) ).
fof(negate_0_0,plain,
~ ( ( ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) )
& ! [V] :
? [U] : big_q(U,V)
& ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,W)
| big_q(Z,Z) ) ) )
=> ! [Z] : big_p(Z) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [Z] : ~ big_p(Z)
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( big_p(X)
| ! [Y] : ~ big_q(X,Y) )
& ! [W,Z] :
( ~ big_q(W,Z)
| big_q(Z,W)
| big_q(Z,Z) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [Z] : ~ big_p(Z),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ big_p(skolemFOFtoCNF_Z),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( big_p(X)
| ! [Y] : ~ big_q(X,Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [X] :
( big_p(X)
| ! [Y] : ~ big_q(X,Y) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ big_q(X,Y)
| big_p(X) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [V] :
? [U] : big_q(U,V),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
! [V] :
? [U] : big_q(U,V),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [V] : big_q(skolemFOFtoCNF_U(V),V),
inference(skolemize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [W,Z] :
( ~ big_q(W,Z)
| big_q(Z,W)
| big_q(Z,Z) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_10,plain,
! [W,Z] :
( ~ big_q(W,Z)
| big_q(Z,W)
| big_q(Z,Z) ),
inference(specialize,[],[normalize_0_9]) ).
cnf(refute_0_0,plain,
~ big_p(skolemFOFtoCNF_Z),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ big_q(X,Y)
| big_p(X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ big_q(X_7,X_7)
| big_p(X_7) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_7)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_3,plain,
( ~ big_q(X_6,skolemFOFtoCNF_U(X_6))
| big_p(X_6) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_6)),bind(Y,$fot(skolemFOFtoCNF_U(X_6)))]]) ).
cnf(refute_0_4,plain,
big_q(skolemFOFtoCNF_U(V),V),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
big_q(skolemFOFtoCNF_U(X_5),X_5),
inference(subst,[],[refute_0_4:[bind(V,$fot(X_5))]]) ).
cnf(refute_0_6,plain,
( ~ big_q(W,Z)
| big_q(Z,W)
| big_q(Z,Z) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ big_q(skolemFOFtoCNF_U(X_5),X_5)
| big_q(X_5,X_5)
| big_q(X_5,skolemFOFtoCNF_U(X_5)) ),
inference(subst,[],[refute_0_6:[bind(W,$fot(skolemFOFtoCNF_U(X_5))),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_8,plain,
( big_q(X_5,X_5)
| big_q(X_5,skolemFOFtoCNF_U(X_5)) ),
inference(resolve,[$cnf( big_q(skolemFOFtoCNF_U(X_5),X_5) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( big_q(X_6,X_6)
| big_q(X_6,skolemFOFtoCNF_U(X_6)) ),
inference(subst,[],[refute_0_8:[bind(X_5,$fot(X_6))]]) ).
cnf(refute_0_10,plain,
( big_p(X_6)
| big_q(X_6,X_6) ),
inference(resolve,[$cnf( big_q(X_6,skolemFOFtoCNF_U(X_6)) )],[refute_0_9,refute_0_3]) ).
cnf(refute_0_11,plain,
( big_p(X_7)
| big_q(X_7,X_7) ),
inference(subst,[],[refute_0_10:[bind(X_6,$fot(X_7))]]) ).
cnf(refute_0_12,plain,
big_p(X_7),
inference(resolve,[$cnf( big_q(X_7,X_7) )],[refute_0_11,refute_0_2]) ).
cnf(refute_0_13,plain,
big_p(skolemFOFtoCNF_Z),
inference(subst,[],[refute_0_12:[bind(X_7,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( big_p(skolemFOFtoCNF_Z) )],[refute_0_13,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN381+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 22:07:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------