%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV414+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 : Wed Jul 20 20:31:32 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 14 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 2 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax54,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq ).
fof(co1,conjecture,
! [U] : i(triple(create_pqp,create_slb,U)) = create_pq ).
fof(subgoal_0,plain,
! [U] : i(triple(create_pqp,create_slb,U)) = create_pq,
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ! [U] : i(triple(create_pqp,create_slb,U)) = create_pq,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U] : i(triple(create_pqp,create_slb,U)) != create_pq,
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
i(triple(create_pqp,create_slb,skolemFOFtoCNF_U)) != create_pq,
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(canonicalize,[],[ax54]) ).
fof(normalize_0_3,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(specialize,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
i(triple(create_pqp,create_slb,skolemFOFtoCNF_U)) != create_pq,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
i(triple(U,create_slb,V)) = create_pq,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
i(triple(create_pqp,create_slb,skolemFOFtoCNF_U)) = create_pq,
inference(subst,[],[refute_0_1:[bind(U,$fot(create_pqp)),bind(V,$fot(skolemFOFtoCNF_U))]]) ).
cnf(refute_0_3,plain,
( create_pq != create_pq
| i(triple(create_pqp,create_slb,skolemFOFtoCNF_U)) != create_pq
| i(triple(create_pqp,create_slb,skolemFOFtoCNF_U)) = create_pq ),
introduced(tautology,[equality,[$cnf( $equal(i(triple(create_pqp,create_slb,skolemFOFtoCNF_U)),create_pq) ),[1],$fot(create_pq)]]) ).
cnf(refute_0_4,plain,
( create_pq != create_pq
| i(triple(create_pqp,create_slb,skolemFOFtoCNF_U)) = create_pq ),
inference(resolve,[$cnf( $equal(i(triple(create_pqp,create_slb,skolemFOFtoCNF_U)),create_pq) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
create_pq != create_pq,
inference(resolve,[$cnf( $equal(i(triple(create_pqp,create_slb,skolemFOFtoCNF_U)),create_pq) )],[refute_0_4,refute_0_0]) ).
cnf(refute_0_6,plain,
create_pq = create_pq,
introduced(tautology,[refl,[$fot(create_pq)]]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( $equal(create_pq,create_pq) )],[refute_0_6,refute_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV414+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n027.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 : Thu Jun 16 04:33:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42
%------------------------------------------------------------------------------