TSTP Solution File: SYN944+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN944+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 09:12:21 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 81 ( 28 ~; 19 |; 25 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 56 ( 1 sgn 40 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [A,B,C] :
( ( s(A)
& s(B)
& r(B,C)
& ! [X] :
( s(X)
=> p(X) )
& ! [X,Y] :
( r(X,Y)
=> q(X,Y) ) )
=> ? [X,Y] :
( p(X)
& q(X,Y) ) ) ).
fof(subgoal_0,plain,
! [A,B,C] :
( ( s(A)
& s(B)
& r(B,C)
& ! [X] :
( s(X)
=> p(X) )
& ! [X,Y] :
( r(X,Y)
=> q(X,Y) ) )
=> ? [X,Y] :
( p(X)
& q(X,Y) ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ! [A,B,C] :
( ( s(A)
& s(B)
& r(B,C)
& ! [X] :
( s(X)
=> p(X) )
& ! [X,Y] :
( r(X,Y)
=> q(X,Y) ) )
=> ? [X,Y] :
( p(X)
& q(X,Y) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B] :
( s(A)
& s(B)
& ? [C] : r(B,C)
& ! [X] :
( ~ p(X)
| ! [Y] : ~ q(X,Y) )
& ! [X] :
( ~ s(X)
| p(X) )
& ! [X,Y] :
( ~ r(X,Y)
| q(X,Y) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( s(skolemFOFtoCNF_A)
& s(skolemFOFtoCNF_B)
& ? [C] : r(skolemFOFtoCNF_B,C)
& ! [X] :
( ~ p(X)
| ! [Y] : ~ q(X,Y) )
& ! [X] :
( ~ s(X)
| p(X) )
& ! [X,Y] :
( ~ r(X,Y)
| q(X,Y) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ p(X)
| ! [Y] : ~ q(X,Y) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ p(X)
| ! [Y] : ~ q(X,Y) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ p(X)
| ~ q(X,Y) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
? [C] : r(skolemFOFtoCNF_B,C),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
r(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(skolemize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ r(X,Y)
| q(X,Y) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ r(X,Y)
| q(X,Y) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
s(skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ s(X)
| p(X) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ s(X)
| p(X) ),
inference(specialize,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
( ~ p(X)
| ~ q(X,Y) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( ~ p(skolemFOFtoCNF_B)
| ~ q(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_B)),bind(Y,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_2,plain,
r(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ r(X,Y)
| q(X,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ r(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| q(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_B)),bind(Y,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_5,plain,
q(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(resolve,[$cnf( r(skolemFOFtoCNF_B,skolemFOFtoCNF_C) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
~ p(skolemFOFtoCNF_B),
inference(resolve,[$cnf( q(skolemFOFtoCNF_B,skolemFOFtoCNF_C) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
s(skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
( ~ s(X)
| p(X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_9,plain,
( ~ s(skolemFOFtoCNF_B)
| p(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_10,plain,
p(skolemFOFtoCNF_B),
inference(resolve,[$cnf( s(skolemFOFtoCNF_B) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( p(skolemFOFtoCNF_B) )],[refute_0_10,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN944+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n022.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 08:46:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------