%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV367+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 20:31:23 EDT 2022
% Result : Theorem 0.23s 0.45s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 29 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 3 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 3 sgn 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax8,axiom,
! [U] : ~ contains_pq(create_pq,U) ).
fof(ax54,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq ).
fof(l3_co,conjecture,
! [U,V,W] :
( contains_pq(i(triple(U,create_slb,V)),W)
=> i(remove_cpq(triple(U,create_slb,V),W)) = remove_pq(i(triple(U,create_slb,V)),W) ) ).
fof(subgoal_0,plain,
! [U,V,W] :
( contains_pq(i(triple(U,create_slb,V)),W)
=> i(remove_cpq(triple(U,create_slb,V),W)) = remove_pq(i(triple(U,create_slb,V)),W) ),
inference(strip,[],[l3_co]) ).
fof(negate_0_0,plain,
~ ! [U,V,W] :
( contains_pq(i(triple(U,create_slb,V)),W)
=> i(remove_cpq(triple(U,create_slb,V),W)) = remove_pq(i(triple(U,create_slb,V)),W) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U,V,W] :
( i(remove_cpq(triple(U,create_slb,V),W)) != remove_pq(i(triple(U,create_slb,V)),W)
& contains_pq(i(triple(U,create_slb,V)),W) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( i(remove_cpq(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2),skolemFOFtoCNF_W_1)) != remove_pq(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),skolemFOFtoCNF_W_1)
& contains_pq(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),skolemFOFtoCNF_W_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
contains_pq(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),skolemFOFtoCNF_W_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(canonicalize,[],[ax54]) ).
fof(normalize_0_4,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [U] : ~ contains_pq(create_pq,U),
inference(canonicalize,[],[ax8]) ).
fof(normalize_0_6,plain,
! [U] : ~ contains_pq(create_pq,U),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
contains_pq(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),skolemFOFtoCNF_W_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
i(triple(U,create_slb,V)) = create_pq,
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)) = create_pq,
inference(subst,[],[refute_0_1:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_V_2))]]) ).
cnf(refute_0_3,plain,
( i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)) != create_pq
| ~ contains_pq(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),skolemFOFtoCNF_W_1)
| contains_pq(create_pq,skolemFOFtoCNF_W_1) ),
introduced(tautology,[equality,[$cnf( contains_pq(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),skolemFOFtoCNF_W_1) ),[0],$fot(create_pq)]]) ).
cnf(refute_0_4,plain,
( ~ contains_pq(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),skolemFOFtoCNF_W_1)
| contains_pq(create_pq,skolemFOFtoCNF_W_1) ),
inference(resolve,[$cnf( $equal(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),create_pq) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
contains_pq(create_pq,skolemFOFtoCNF_W_1),
inference(resolve,[$cnf( contains_pq(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),skolemFOFtoCNF_W_1) )],[refute_0_0,refute_0_4]) ).
cnf(refute_0_6,plain,
~ contains_pq(create_pq,U),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_7,plain,
~ contains_pq(create_pq,skolemFOFtoCNF_W_1),
inference(subst,[],[refute_0_6:[bind(U,$fot(skolemFOFtoCNF_W_1))]]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( contains_pq(create_pq,skolemFOFtoCNF_W_1) )],[refute_0_5,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV367+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.16/0.36 % Computer : n017.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Wed Jun 15 09:54:54 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.16/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.23/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.45
% 0.23/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.23/0.45
%------------------------------------------------------------------------------