%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG384-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:49:19 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.63s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 31 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f485,axiom,
! [T_a,V_x] :
( V_x = c_HOL_Ozero__class_Ozero(T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f496,axiom,
v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f497,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f563,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1346,plain,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(cnf_transformation,[status(thm)],[f485]) ).
fof(f1362,plain,
v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f1363,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f1429,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f1533,definition,
( sQ17_spl
<=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_c____ ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1534,plain,
( ~ sQ17_spl
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_c____ ),
inference(component_clause,[status(thm)],[f1533]) ).
fof(f1729,plain,
( v_c____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f1346,f1363]) ).
fof(f1731,definition,
( sQ45_spl
<=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
( sQ45_spl
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(component_clause,[status(thm)],[f1731]) ).
fof(f1734,plain,
( sQ17_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1729,f1731,f1533]) ).
fof(f1742,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1733,f1429]) ).
fof(f1743,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1742]) ).
fof(f1744,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1534,f1362]) ).
fof(f1745,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1744]) ).
fof(f1746,plain,
$false,
inference(sat_refutation,[status(thm)],[f1734,f1743,f1745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG384-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 13:21:36 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.25/0.51 % Drodi V4.1.1
% 0.25/0.63 % Refutation found
% 0.25/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.25/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.65 % Elapsed time: 0.182541 seconds
% 0.25/0.65 % CPU time: 0.802857 seconds
% 0.25/0.65 % Total memory used: 137.007 MB
% 0.25/0.65 % Net memory used: 136.454 MB
%------------------------------------------------------------------------------