TSTP Solution File: SYN366+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN366+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 09:01:49 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 63 ( 27 ~; 10 |; 10 &)
% ( 12 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 51 ( 5 sgn 35 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2117,conjecture,
( ( ! [U,V] :
( big_r(U,U)
<=> big_r(U,V) )
& ! [W,Z] :
( big_r(W,W)
<=> big_r(Z,W) ) )
=> ( ? [X] : big_r(X,X)
=> ! [Y] : big_r(Y,Y) ) ) ).
fof(subgoal_0,plain,
( ( ! [U,V] :
( big_r(U,U)
<=> big_r(U,V) )
& ! [W,Z] :
( big_r(W,W)
<=> big_r(Z,W) )
& ? [X] : big_r(X,X) )
=> ! [Y] : big_r(Y,Y) ),
inference(strip,[],[x2117]) ).
fof(negate_0_0,plain,
~ ( ( ! [U,V] :
( big_r(U,U)
<=> big_r(U,V) )
& ! [W,Z] :
( big_r(W,W)
<=> big_r(Z,W) )
& ? [X] : big_r(X,X) )
=> ! [Y] : big_r(Y,Y) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X] : big_r(X,X)
& ? [Y] : ~ big_r(Y,Y)
& ! [U,V] :
( ~ big_r(U,U)
<=> ~ big_r(U,V) )
& ! [W,Z] :
( ~ big_r(W,W)
<=> ~ big_r(Z,W) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [Y] : ~ big_r(Y,Y),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ big_r(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U,V] :
( ~ big_r(U,U)
<=> ~ big_r(U,V) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
! [U,V] :
( ~ big_r(U,U)
<=> ~ big_r(U,V) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [U,V] :
( ( ~ big_r(U,U)
| big_r(U,V) )
& ( ~ big_r(U,V)
| big_r(U,U) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [U,V] :
( ~ big_r(U,V)
| big_r(U,U) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
? [X] : big_r(X,X),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_8,plain,
big_r(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(skolemize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [W,Z] :
( ~ big_r(W,W)
<=> ~ big_r(Z,W) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_10,plain,
! [W,Z] :
( ~ big_r(W,W)
<=> ~ big_r(Z,W) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [W,Z] :
( ( ~ big_r(W,W)
| big_r(Z,W) )
& ( ~ big_r(Z,W)
| big_r(W,W) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [W,Z] :
( ~ big_r(W,W)
| big_r(Z,W) ),
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
~ big_r(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ big_r(U,V)
| big_r(U,U) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ big_r(X_7,skolemFOFtoCNF_X)
| big_r(X_7,X_7) ),
inference(subst,[],[refute_0_1:[bind(U,$fot(X_7)),bind(V,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
big_r(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ big_r(W,W)
| big_r(Z,W) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_5,plain,
( ~ big_r(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| big_r(X_6,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_4:[bind(W,$fot(skolemFOFtoCNF_X)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_6,plain,
big_r(X_6,skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_r(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
big_r(X_7,skolemFOFtoCNF_X),
inference(subst,[],[refute_0_6:[bind(X_6,$fot(X_7))]]) ).
cnf(refute_0_8,plain,
big_r(X_7,X_7),
inference(resolve,[$cnf( big_r(X_7,skolemFOFtoCNF_X) )],[refute_0_7,refute_0_2]) ).
cnf(refute_0_9,plain,
big_r(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_8:[bind(X_7,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( big_r(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_9,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN366+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 : n006.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 : Tue Jul 12 08:36:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------