%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN730+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 09:05:17 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 9 ~; 8 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 27 ( 1 sgn 14 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm75,conjecture,
? [V] :
! [J] :
? [Q] :
( ( p(a,J,h(J))
| p(V,J,k(J)) )
=> p(V,J,Q) ) ).
fof(subgoal_0,plain,
? [V] :
! [J] :
? [Q] :
( ( p(a,J,h(J))
| p(V,J,k(J)) )
=> p(V,J,Q) ),
inference(strip,[],[thm75]) ).
fof(negate_0_0,plain,
~ ? [V] :
! [J] :
? [Q] :
( ( p(a,J,h(J))
| p(V,J,k(J)) )
=> p(V,J,Q) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [V] :
? [J] :
( ( p(V,J,k(J))
| p(a,J,h(J)) )
& ! [Q] : ~ p(V,J,Q) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [V] :
? [J] :
( ( p(V,J,k(J))
| p(a,J,h(J)) )
& ! [Q] : ~ p(V,J,Q) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [V] :
( ( p(V,skolemFOFtoCNF_J(V),k(skolemFOFtoCNF_J(V)))
| p(a,skolemFOFtoCNF_J(V),h(skolemFOFtoCNF_J(V))) )
& ! [Q] : ~ p(V,skolemFOFtoCNF_J(V),Q) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [V] :
( p(V,skolemFOFtoCNF_J(V),k(skolemFOFtoCNF_J(V)))
| p(a,skolemFOFtoCNF_J(V),h(skolemFOFtoCNF_J(V))) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [V,Q] : ~ p(V,skolemFOFtoCNF_J(V),Q),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
! [Q,V] : ~ p(V,skolemFOFtoCNF_J(V),Q),
inference(specialize,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
( p(V,skolemFOFtoCNF_J(V),k(skolemFOFtoCNF_J(V)))
| p(a,skolemFOFtoCNF_J(V),h(skolemFOFtoCNF_J(V))) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
~ p(V,skolemFOFtoCNF_J(V),Q),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
~ p(V,skolemFOFtoCNF_J(V),k(skolemFOFtoCNF_J(V))),
inference(subst,[],[refute_0_1:[bind(Q,$fot(k(skolemFOFtoCNF_J(V))))]]) ).
cnf(refute_0_3,plain,
p(a,skolemFOFtoCNF_J(V),h(skolemFOFtoCNF_J(V))),
inference(resolve,[$cnf( p(V,skolemFOFtoCNF_J(V),k(skolemFOFtoCNF_J(V))) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
p(a,skolemFOFtoCNF_J(a),h(skolemFOFtoCNF_J(a))),
inference(subst,[],[refute_0_3:[bind(V,$fot(a))]]) ).
cnf(refute_0_5,plain,
~ p(a,skolemFOFtoCNF_J(a),h(skolemFOFtoCNF_J(a))),
inference(subst,[],[refute_0_1:[bind(Q,$fot(h(skolemFOFtoCNF_J(a)))),bind(V,$fot(a))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( p(a,skolemFOFtoCNF_J(a),h(skolemFOFtoCNF_J(a))) )],[refute_0_4,refute_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN730+1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 17:26:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------