TSTP Solution File: SYN965+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN965+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 09:12:29 EDT 2022
% Result : Theorem 0.20s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 67 ( 22 ~; 17 |; 22 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 55 ( 7 sgn 26 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
? [Z] :
! [X] :
? [Y] :
( ( p(Y,X)
=> ? [W] : p(W,Y) )
& ( ( p(Z,Y)
& p(Y,Z) )
=> p(Y,X) ) ) ).
fof(subgoal_0,plain,
? [Z] :
! [X] :
? [Y] :
( ( p(Y,X)
=> ? [W] : p(W,Y) )
& ( ( p(Z,Y)
& p(Y,Z) )
=> p(Y,X) ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ? [Z] :
! [X] :
? [Y] :
( ( p(Y,X)
=> ? [W] : p(W,Y) )
& ( ( p(Z,Y)
& p(Y,Z) )
=> p(Y,X) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [Z] :
? [X] :
! [Y] :
( ( p(Y,X)
& ! [W] : ~ p(W,Y) )
| ( ~ p(Y,X)
& p(Y,Z)
& p(Z,Y) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [Z] :
? [X] :
! [Y] :
( ( p(Y,X)
& ! [W] : ~ p(W,Y) )
| ( ~ p(Y,X)
& p(Y,Z)
& p(Z,Y) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Z,Y] :
( ( p(Y,skolemFOFtoCNF_X(Z))
& ! [W] : ~ p(W,Y) )
| ( ~ p(Y,skolemFOFtoCNF_X(Z))
& p(Y,Z)
& p(Z,Y) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y,Z] :
( ( p(Y,skolemFOFtoCNF_X(Z))
& ! [W] : ~ p(W,Y) )
| ( ~ p(Y,skolemFOFtoCNF_X(Z))
& p(Y,Z)
& p(Z,Y) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W,Y,Z] :
( ( ~ p(W,Y)
| ~ p(Y,skolemFOFtoCNF_X(Z)) )
& ( ~ p(W,Y)
| p(Y,Z) )
& ( ~ p(W,Y)
| p(Z,Y) )
& ( p(Y,Z)
| p(Y,skolemFOFtoCNF_X(Z)) )
& ( p(Y,skolemFOFtoCNF_X(Z))
| p(Z,Y) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [W,Y,Z] :
( ~ p(W,Y)
| ~ p(Y,skolemFOFtoCNF_X(Z)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Y,Z] :
( p(Y,Z)
| p(Y,skolemFOFtoCNF_X(Z)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_7,plain,
! [W,Y,Z] :
( ~ p(W,Y)
| p(Y,Z) ),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
( ~ p(W,Y)
| ~ p(Y,skolemFOFtoCNF_X(Z)) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
~ p(skolemFOFtoCNF_X(Z),skolemFOFtoCNF_X(Z)),
inference(subst,[],[refute_0_0:[bind(W,$fot(skolemFOFtoCNF_X(Z))),bind(Y,$fot(skolemFOFtoCNF_X(Z)))]]) ).
cnf(refute_0_2,plain,
~ p(skolemFOFtoCNF_X(X_2),skolemFOFtoCNF_X(X_2)),
inference(subst,[],[refute_0_0:[bind(W,$fot(skolemFOFtoCNF_X(X_2))),bind(Y,$fot(skolemFOFtoCNF_X(X_2))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_3,plain,
( p(Y,Z)
| p(Y,skolemFOFtoCNF_X(Z)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( p(skolemFOFtoCNF_X(X_2),X_2)
| p(skolemFOFtoCNF_X(X_2),skolemFOFtoCNF_X(X_2)) ),
inference(subst,[],[refute_0_3:[bind(Y,$fot(skolemFOFtoCNF_X(X_2))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_5,plain,
p(skolemFOFtoCNF_X(X_2),X_2),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X(X_2),skolemFOFtoCNF_X(X_2)) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
p(skolemFOFtoCNF_X(X_5),X_5),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_5))]]) ).
cnf(refute_0_7,plain,
( ~ p(W,Y)
| p(Y,Z) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_8,plain,
( ~ p(skolemFOFtoCNF_X(X_5),X_5)
| p(X_5,X_6) ),
inference(subst,[],[refute_0_7:[bind(W,$fot(skolemFOFtoCNF_X(X_5))),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_9,plain,
p(X_5,X_6),
inference(resolve,[$cnf( p(skolemFOFtoCNF_X(X_5),X_5) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
p(skolemFOFtoCNF_X(Z),skolemFOFtoCNF_X(Z)),
inference(subst,[],[refute_0_9:[bind(X_5,$fot(skolemFOFtoCNF_X(Z))),bind(X_6,$fot(skolemFOFtoCNF_X(Z)))]]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_X(Z),skolemFOFtoCNF_X(Z)) )],[refute_0_10,refute_0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN965+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.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 18:26:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35
% 0.20/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.35
%------------------------------------------------------------------------------