TSTP Solution File: SYN969+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 09:12:31 EDT 2022
% Result : Theorem 0.11s 0.33s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 17 ~; 12 |; 11 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 17 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [B] :
( ( ! [X] :
( p(X)
=> q(X) )
& r(B) )
=> ( ! [Y] :
( r(Y)
=> p(Y) )
=> q(B) ) ) ).
fof(subgoal_0,plain,
! [B] :
( ( ! [X] :
( p(X)
=> q(X) )
& r(B)
& ! [Y] :
( r(Y)
=> p(Y) ) )
=> q(B) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ! [B] :
( ( ! [X] :
( p(X)
=> q(X) )
& r(B)
& ! [Y] :
( r(Y)
=> p(Y) ) )
=> q(B) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [B] :
( ~ q(B)
& r(B)
& ! [X] :
( ~ p(X)
| q(X) )
& ! [Y] :
( ~ r(Y)
| p(Y) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ q(skolemFOFtoCNF_B)
& r(skolemFOFtoCNF_B)
& ! [X] :
( ~ p(X)
| q(X) )
& ! [Y] :
( ~ r(Y)
| p(Y) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ p(X)
| q(X) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ p(X)
| q(X) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
r(skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_5,plain,
! [Y] :
( ~ r(Y)
| p(Y) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
! [Y] :
( ~ r(Y)
| p(Y) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
~ q(skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
( ~ p(X)
| q(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ p(skolemFOFtoCNF_B)
| q(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_2,plain,
r(skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ r(Y)
| p(Y) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ r(skolemFOFtoCNF_B)
| p(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_3:[bind(Y,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_5,plain,
p(skolemFOFtoCNF_B),
inference(resolve,[$cnf( r(skolemFOFtoCNF_B) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
q(skolemFOFtoCNF_B),
inference(resolve,[$cnf( p(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
~ q(skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( q(skolemFOFtoCNF_B) )],[refute_0_6,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jul 11 13:11:09 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33
% 0.11/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.11/0.33
%------------------------------------------------------------------------------