TSTP Solution File: SWV392+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : 300s
% DateTime : Tue Apr 30 20:46:55 EDT 2024
% Result : Theorem 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 19 ( 7 ~; 2 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [U] : ~ contains_slb(create_slb,U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
! [U,V] :
( pair_in_list(create_slb,U,V)
=> ! [W] :
( contains_slb(create_slb,W)
=> ( pair_in_list(remove_slb(create_slb,W),U,V)
| U = W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ! [U,V] :
( pair_in_list(create_slb,U,V)
=> ! [W] :
( contains_slb(create_slb,W)
=> ( pair_in_list(remove_slb(create_slb,W),U,V)
| U = W ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f34,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f62,plain,
? [U,V] :
( pair_in_list(create_slb,U,V)
& ? [W] :
( contains_slb(create_slb,W)
& ~ pair_in_list(remove_slb(create_slb,W),U,V)
& U != W ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f63,plain,
( pair_in_list(create_slb,sk0_0,sk0_1)
& contains_slb(create_slb,sk0_2)
& ~ pair_in_list(remove_slb(create_slb,sk0_2),sk0_0,sk0_1)
& sk0_0 != sk0_2 ),
inference(skolemization,[status(esa)],[f62]) ).
fof(f65,plain,
contains_slb(create_slb,sk0_2),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f70,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f65,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n014.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 00:48:34 EDT 2024
% 0.14/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.6.0
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.32 % Elapsed time: 0.021366 seconds
% 0.14/0.32 % CPU time: 0.021824 seconds
% 0.14/0.32 % Total memory used: 7.295 MB
% 0.14/0.32 % Net memory used: 7.227 MB
%------------------------------------------------------------------------------