%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG436-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 11:49:24 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 1 unt; 2 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f374,axiom,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f375,axiom,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f376,negated_conjecture,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f377,negated_conjecture,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1158,plain,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f1159,plain,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f1160,plain,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f1161,plain,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(cnf_transformation,[status(thm)],[f377]) ).
fof(f1266,definition,
( sQ0_spl
<=> c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1269,definition,
( sQ1_spl
<=> c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1158,f1266,f1269]) ).
fof(f1273,plain,
( ~ sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1159,f1269,f1266]) ).
fof(f1274,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1160,f1269,f1266]) ).
fof(f1275,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1161,f1266,f1269]) ).
fof(f1276,plain,
$false,
inference(sat_refutation,[status(thm)],[f1272,f1273,f1274,f1275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG436-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 13:22:59 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.068864 seconds
% 0.12/0.42 % CPU time: 0.137394 seconds
% 0.12/0.42 % Total memory used: 62.792 MB
% 0.12/0.42 % Net memory used: 62.613 MB
%------------------------------------------------------------------------------