TSTP Solution File: ITP019+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:22:52 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 48 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 12 |; 5 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 6 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [V0z] :
( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__inv,V0z) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> V0z = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
! [V0z] :
( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,V0z) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ ! [V0z] :
( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,V0z) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f111,plain,
! [V0z] :
( ~ mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ( ap(c_2Ecomplex_2Ecomplex__inv,V0z) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> V0z = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f112,plain,
! [V0z] :
( ~ mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ( ( ap(c_2Ecomplex_2Ecomplex__inv,V0z) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| V0z = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) )
& ( ap(c_2Ecomplex_2Ecomplex__inv,V0z) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ) ),
inference(NNF_transformation,[status(esa)],[f111]) ).
fof(f113,plain,
! [X0] :
( ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| X0 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(cnf_transformation,[status(esa)],[f112]) ).
fof(f115,plain,
? [V0z] :
( mem(V0z,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& V0z != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& ap(c_2Ecomplex_2Ecomplex__inv,V0z) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f116,plain,
( mem(sk0_3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& sk0_3 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& ap(c_2Ecomplex_2Ecomplex__inv,sk0_3) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(skolemization,[status(esa)],[f115]) ).
fof(f117,plain,
mem(sk0_3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f118,plain,
sk0_3 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f119,plain,
ap(c_2Ecomplex_2Ecomplex__inv,sk0_3) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f134,plain,
( spl0_3
<=> mem(sk0_3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
introduced(split_symbol_definition) ).
fof(f136,plain,
( ~ mem(sk0_3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| spl0_3 ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,plain,
( spl0_4
<=> sk0_3 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
introduced(split_symbol_definition) ).
fof(f138,plain,
( sk0_3 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( ~ mem(sk0_3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| sk0_3 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(resolution,[status(thm)],[f113,f119]) ).
fof(f141,plain,
( ~ spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f140,f134,f137]) ).
fof(f147,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f136,f117]) ).
fof(f148,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f138,f118]) ).
fof(f150,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f149]) ).
fof(f151,plain,
$false,
inference(sat_refutation,[status(thm)],[f141,f148,f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.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 : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:06:55 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.37 % Elapsed time: 0.019448 seconds
% 0.21/0.37 % CPU time: 0.027344 seconds
% 0.21/0.37 % Total memory used: 13.018 MB
% 0.21/0.37 % Net memory used: 12.943 MB
%------------------------------------------------------------------------------