TSTP Solution File: SYN722+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN722+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 09:05:01 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 45 ( 24 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 191 ( 87 ~; 80 |; 20 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 51 ( 12 sgn 26 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm119,conjecture,
~ ( ! [Z] :
( ( p(Z)
| r(Z) )
& q(Z) )
& ! [X] :
? [Y] :
( p(X)
| ~ q(X)
| ~ q(Y)
| ~ q(c)
| ~ q(d) )
& ( ~ p(a)
| ~ p(b) ) ) ).
fof(subgoal_0,plain,
( ( ! [Z] :
( ( p(Z)
| r(Z) )
& q(Z) )
& ! [X] :
? [Y] :
( p(X)
| ~ q(X)
| ~ q(Y)
| ~ q(c)
| ~ q(d) ) )
=> p(a) ),
inference(strip,[],[thm119]) ).
fof(subgoal_1,plain,
( ( ! [Z] :
( ( p(Z)
| r(Z) )
& q(Z) )
& ! [X] :
? [Y] :
( p(X)
| ~ q(X)
| ~ q(Y)
| ~ q(c)
| ~ q(d) )
& ~ ~ p(a) )
=> p(b) ),
inference(strip,[],[thm119]) ).
fof(negate_0_0,plain,
~ ( ( ! [Z] :
( ( p(Z)
| r(Z) )
& q(Z) )
& ! [X] :
? [Y] :
( p(X)
| ~ q(X)
| ~ q(Y)
| ~ q(c)
| ~ q(d) ) )
=> p(a) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ p(a)
& ! [X] :
( ~ q(X)
| ~ q(c)
| ~ q(d)
| p(X)
| ? [Y] : ~ q(Y) )
& ! [Z] : q(Z)
& ! [Z] :
( p(Z)
| r(Z) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
~ p(a),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ q(X)
| ~ q(c)
| ~ q(d)
| p(X)
| ? [Y] : ~ q(Y) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ q(X)
| ~ q(c)
| ~ q(d)
| p(X)
| ? [Y] : ~ q(Y) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ q(X)
| ~ q(c)
| ~ q(d)
| ~ q(skolemFOFtoCNF_Y)
| p(X) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [Z] : q(Z),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
! [Z] : q(Z),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
~ p(a),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ q(X)
| ~ q(c)
| ~ q(d)
| ~ q(skolemFOFtoCNF_Y)
| p(X) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
q(Z),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
q(X),
inference(subst,[],[refute_0_2:[bind(Z,$fot(X))]]) ).
cnf(refute_0_4,plain,
( ~ q(c)
| ~ q(d)
| ~ q(skolemFOFtoCNF_Y)
| p(X) ),
inference(resolve,[$cnf( q(X) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
q(c),
inference(subst,[],[refute_0_2:[bind(Z,$fot(c))]]) ).
cnf(refute_0_6,plain,
( ~ q(d)
| ~ q(skolemFOFtoCNF_Y)
| p(X) ),
inference(resolve,[$cnf( q(c) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
q(d),
inference(subst,[],[refute_0_2:[bind(Z,$fot(d))]]) ).
cnf(refute_0_8,plain,
( ~ q(skolemFOFtoCNF_Y)
| p(X) ),
inference(resolve,[$cnf( q(d) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
q(skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_2:[bind(Z,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_10,plain,
p(X),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
p(a),
inference(subst,[],[refute_0_10:[bind(X,$fot(a))]]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( p(a) )],[refute_0_11,refute_0_0]) ).
fof(negate_1_0,plain,
~ ( ( ! [Z] :
( ( p(Z)
| r(Z) )
& q(Z) )
& ! [X] :
? [Y] :
( p(X)
| ~ q(X)
| ~ q(Y)
| ~ q(c)
| ~ q(d) )
& ~ ~ p(a) )
=> p(b) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ~ p(b)
& p(a)
& ! [X] :
( ~ q(X)
| ~ q(c)
| ~ q(d)
| p(X)
| ? [Y] : ~ q(Y) )
& ! [Z] : q(Z)
& ! [Z] :
( p(Z)
| r(Z) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
~ p(b),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [X] :
( ~ q(X)
| ~ q(c)
| ~ q(d)
| p(X)
| ? [Y] : ~ q(Y) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_3,plain,
! [X] :
( ~ q(X)
| ~ q(c)
| ~ q(d)
| p(X)
| ? [Y] : ~ q(Y) ),
inference(specialize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [X] :
( ~ q(X)
| ~ q(c)
| ~ q(d)
| ~ q(skolemFOFtoCNF_Y_1)
| p(X) ),
inference(clausify,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [Z] : q(Z),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_6,plain,
! [Z] : q(Z),
inference(specialize,[],[normalize_1_5]) ).
cnf(refute_1_0,plain,
~ p(b),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
( ~ q(X)
| ~ q(c)
| ~ q(d)
| ~ q(skolemFOFtoCNF_Y_1)
| p(X) ),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
q(Z),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_3,plain,
q(X),
inference(subst,[],[refute_1_2:[bind(Z,$fot(X))]]) ).
cnf(refute_1_4,plain,
( ~ q(c)
| ~ q(d)
| ~ q(skolemFOFtoCNF_Y_1)
| p(X) ),
inference(resolve,[$cnf( q(X) )],[refute_1_3,refute_1_1]) ).
cnf(refute_1_5,plain,
q(c),
inference(subst,[],[refute_1_2:[bind(Z,$fot(c))]]) ).
cnf(refute_1_6,plain,
( ~ q(d)
| ~ q(skolemFOFtoCNF_Y_1)
| p(X) ),
inference(resolve,[$cnf( q(c) )],[refute_1_5,refute_1_4]) ).
cnf(refute_1_7,plain,
q(d),
inference(subst,[],[refute_1_2:[bind(Z,$fot(d))]]) ).
cnf(refute_1_8,plain,
( ~ q(skolemFOFtoCNF_Y_1)
| p(X) ),
inference(resolve,[$cnf( q(d) )],[refute_1_7,refute_1_6]) ).
cnf(refute_1_9,plain,
q(skolemFOFtoCNF_Y_1),
inference(subst,[],[refute_1_2:[bind(Z,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_1_10,plain,
p(X),
inference(resolve,[$cnf( q(skolemFOFtoCNF_Y_1) )],[refute_1_9,refute_1_8]) ).
cnf(refute_1_11,plain,
p(b),
inference(subst,[],[refute_1_10:[bind(X,$fot(b))]]) ).
cnf(refute_1_12,plain,
$false,
inference(resolve,[$cnf( p(b) )],[refute_1_11,refute_1_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN722+1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n014.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 14:24:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------