TSTP Solution File: SWV369+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV369+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 0.38s 0.59s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 23 unt; 0 def)
% Number of atoms : 62 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 28 ~; 8 |; 5 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 61 ( 6 sgn 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax8,axiom,
! [U] : ~ contains_pq(create_pq,U) ).
fof(ax20,axiom,
! [U] : ~ contains_slb(create_slb,U) ).
fof(ax39,axiom,
! [U,V,W,X] :
( contains_cpq(triple(U,V,W),X)
<=> contains_slb(V,X) ) ).
fof(ax54,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq ).
fof(l5_co,conjecture,
! [U,V,W] :
( contains_cpq(triple(U,create_slb,V),W)
<=> contains_pq(i(triple(U,create_slb,V)),W) ) ).
fof(subgoal_0,plain,
! [U,V,W] :
( contains_cpq(triple(U,create_slb,V),W)
=> contains_pq(i(triple(U,create_slb,V)),W) ),
inference(strip,[],[l5_co]) ).
fof(subgoal_1,plain,
! [U,V,W] :
( contains_pq(i(triple(U,create_slb,V)),W)
=> contains_cpq(triple(U,create_slb,V),W) ),
inference(strip,[],[l5_co]) ).
fof(negate_0_0,plain,
~ ! [U,V,W] :
( contains_cpq(triple(U,create_slb,V),W)
=> contains_pq(i(triple(U,create_slb,V)),W) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U,V,W] :
( ~ contains_pq(i(triple(U,create_slb,V)),W)
& contains_cpq(triple(U,create_slb,V),W) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ contains_pq(i(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2)),skolemFOFtoCNF_W_1)
& contains_cpq(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2),skolemFOFtoCNF_W_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
contains_cpq(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2),skolemFOFtoCNF_W_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U,V,W,X] :
( ~ contains_cpq(triple(U,V,W),X)
<=> ~ contains_slb(V,X) ),
inference(canonicalize,[],[ax39]) ).
fof(normalize_0_4,plain,
! [U,V,W,X] :
( ~ contains_cpq(triple(U,V,W),X)
<=> ~ contains_slb(V,X) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [U,V,W,X] :
( ( ~ contains_cpq(triple(U,V,W),X)
| contains_slb(V,X) )
& ( ~ contains_slb(V,X)
| contains_cpq(triple(U,V,W),X) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [U,V,W,X] :
( ~ contains_cpq(triple(U,V,W),X)
| contains_slb(V,X) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [U] : ~ contains_slb(create_slb,U),
inference(canonicalize,[],[ax20]) ).
fof(normalize_0_8,plain,
! [U] : ~ contains_slb(create_slb,U),
inference(specialize,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
contains_cpq(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2),skolemFOFtoCNF_W_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ contains_cpq(triple(U,V,W),X)
| contains_slb(V,X) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ contains_cpq(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2),skolemFOFtoCNF_W_1)
| contains_slb(create_slb,skolemFOFtoCNF_W_1) ),
inference(subst,[],[refute_0_1:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(create_slb)),bind(W,$fot(skolemFOFtoCNF_V_2)),bind(X,$fot(skolemFOFtoCNF_W_1))]]) ).
cnf(refute_0_3,plain,
contains_slb(create_slb,skolemFOFtoCNF_W_1),
inference(resolve,[$cnf( contains_cpq(triple(skolemFOFtoCNF_U,create_slb,skolemFOFtoCNF_V_2),skolemFOFtoCNF_W_1) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
~ contains_slb(create_slb,U),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
~ contains_slb(create_slb,skolemFOFtoCNF_W_1),
inference(subst,[],[refute_0_4:[bind(U,$fot(skolemFOFtoCNF_W_1))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( contains_slb(create_slb,skolemFOFtoCNF_W_1) )],[refute_0_3,refute_0_5]) ).
fof(negate_1_0,plain,
~ ! [U,V,W] :
( contains_pq(i(triple(U,create_slb,V)),W)
=> contains_cpq(triple(U,create_slb,V),W) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [U,V,W] :
( ~ contains_cpq(triple(U,create_slb,V),W)
& contains_pq(i(triple(U,create_slb,V)),W) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ contains_cpq(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3),skolemFOFtoCNF_W_2)
& contains_pq(i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)),skolemFOFtoCNF_W_2) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
contains_pq(i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)),skolemFOFtoCNF_W_2),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(canonicalize,[],[ax54]) ).
fof(normalize_1_4,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [U] : ~ contains_pq(create_pq,U),
inference(canonicalize,[],[ax8]) ).
fof(normalize_1_6,plain,
! [U] : ~ contains_pq(create_pq,U),
inference(specialize,[],[normalize_1_5]) ).
cnf(refute_1_0,plain,
contains_pq(i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)),skolemFOFtoCNF_W_2),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
i(triple(U,create_slb,V)) = create_pq,
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)) = create_pq,
inference(subst,[],[refute_1_1:[bind(U,$fot(skolemFOFtoCNF_U_1)),bind(V,$fot(skolemFOFtoCNF_V_3))]]) ).
cnf(refute_1_3,plain,
( i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)) != create_pq
| ~ contains_pq(i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)),skolemFOFtoCNF_W_2)
| contains_pq(create_pq,skolemFOFtoCNF_W_2) ),
introduced(tautology,[equality,[$cnf( contains_pq(i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)),skolemFOFtoCNF_W_2) ),[0],$fot(create_pq)]]) ).
cnf(refute_1_4,plain,
( ~ contains_pq(i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)),skolemFOFtoCNF_W_2)
| contains_pq(create_pq,skolemFOFtoCNF_W_2) ),
inference(resolve,[$cnf( $equal(i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)),create_pq) )],[refute_1_2,refute_1_3]) ).
cnf(refute_1_5,plain,
contains_pq(create_pq,skolemFOFtoCNF_W_2),
inference(resolve,[$cnf( contains_pq(i(triple(skolemFOFtoCNF_U_1,create_slb,skolemFOFtoCNF_V_3)),skolemFOFtoCNF_W_2) )],[refute_1_0,refute_1_4]) ).
cnf(refute_1_6,plain,
~ contains_pq(create_pq,U),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_7,plain,
~ contains_pq(create_pq,skolemFOFtoCNF_W_2),
inference(subst,[],[refute_1_6:[bind(U,$fot(skolemFOFtoCNF_W_2))]]) ).
cnf(refute_1_8,plain,
$false,
inference(resolve,[$cnf( contains_pq(create_pq,skolemFOFtoCNF_W_2) )],[refute_1_5,refute_1_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV369+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 22:08:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.38/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.59
% 0.38/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.38/0.59
%------------------------------------------------------------------------------