TSTP Solution File: LCL491+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL491+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Sun Jul 17 12:52:39 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 8 |; 2 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 2 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(or_2,axiom,
( or_2
<=> ! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) ) ).
fof(r2,axiom,
( r2
<=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ) ).
fof(principia_r2,axiom,
r2 ).
fof(hilbert_or_2,conjecture,
or_2 ).
fof(subgoal_0,plain,
or_2,
inference(strip,[],[hilbert_or_2]) ).
fof(negate_0_0,plain,
~ or_2,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ or_2
<=> ? [X,Y] : ~ is_a_theorem(implies(Y,or(X,Y))) ),
inference(canonicalize,[],[or_2]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ( ~ is_a_theorem(implies(skolemFOFtoCNF_Y_10,or(skolemFOFtoCNF_X_10,skolemFOFtoCNF_Y_10)))
| or_2 )
& ( ~ or_2
| is_a_theorem(implies(Y,or(X,Y))) ) ),
inference(clausify,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ is_a_theorem(implies(skolemFOFtoCNF_Y_10,or(skolemFOFtoCNF_X_10,skolemFOFtoCNF_Y_10)))
| or_2 ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ~ r2
<=> ? [P,Q] : ~ is_a_theorem(implies(Q,or(P,Q))) ),
inference(canonicalize,[],[r2]) ).
fof(normalize_0_4,plain,
! [P,Q] :
( ( ~ is_a_theorem(implies(skolemFOFtoCNF_Q_4,or(skolemFOFtoCNF_P_7,skolemFOFtoCNF_Q_4)))
| r2 )
& ( ~ r2
| is_a_theorem(implies(Q,or(P,Q))) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [P,Q] :
( ~ r2
| is_a_theorem(implies(Q,or(P,Q))) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
r2,
inference(canonicalize,[],[principia_r2]) ).
fof(normalize_0_7,plain,
~ or_2,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(skolemFOFtoCNF_Y_10,or(skolemFOFtoCNF_X_10,skolemFOFtoCNF_Y_10)))
| or_2 ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ r2
| is_a_theorem(implies(Q,or(P,Q))) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
r2,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
is_a_theorem(implies(Q,or(P,Q))),
inference(resolve,[$cnf( r2 )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
is_a_theorem(implies(skolemFOFtoCNF_Y_10,or(skolemFOFtoCNF_X_10,skolemFOFtoCNF_Y_10))),
inference(subst,[],[refute_0_3:[bind(P,$fot(skolemFOFtoCNF_X_10)),bind(Q,$fot(skolemFOFtoCNF_Y_10))]]) ).
cnf(refute_0_5,plain,
or_2,
inference(resolve,[$cnf( is_a_theorem(implies(skolemFOFtoCNF_Y_10,or(skolemFOFtoCNF_X_10,skolemFOFtoCNF_Y_10))) )],[refute_0_4,refute_0_0]) ).
cnf(refute_0_6,plain,
~ or_2,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( or_2 )],[refute_0_5,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL491+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n018.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 : Sat Jul 2 23:24:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.40
% 0.19/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.40
%------------------------------------------------------------------------------