%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG436-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 11:50:11 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG436-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 % Computer : n009.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Mon Sep 21 13:20:57 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.48 % Drodi V4.1.1
% 0.25/0.52 % Refutation found
% 0.25/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.25/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.25/0.52 fof(f374,axiom,(
% 0.25/0.52 ( 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)) ) ),
% 0.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.52 fof(f375,axiom,(
% 0.25/0.52 ( 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)) ) ),
% 0.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.52 fof(f376,negated_conjecture,(
% 0.25/0.52 ( ~ 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)) ) ),
% 0.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.52 fof(f377,negated_conjecture,(
% 0.25/0.52 ( 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)) ) ),
% 0.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.52 fof(f1158,plain,(
% 0.25/0.52 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))),
% 0.25/0.52 inference(cnf_transformation,[status(thm)],[f374])).
% 0.25/0.52 fof(f1159,plain,(
% 0.25/0.52 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))),
% 0.25/0.52 inference(cnf_transformation,[status(thm)],[f375])).
% 0.25/0.52 fof(f1160,plain,(
% 0.25/0.52 ~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))),
% 0.25/0.52 inference(cnf_transformation,[status(thm)],[f376])).
% 0.25/0.52 fof(f1161,plain,(
% 0.25/0.52 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))),
% 0.25/0.52 inference(cnf_transformation,[status(thm)],[f377])).
% 0.25/0.52 fof(f1266,definition,(
% 0.25/0.52 sQ0_spl <=> (c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.25/0.52 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.25/0.52 fof(f1269,definition,(
% 0.25/0.52 sQ1_spl <=> (c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
% 0.25/0.52 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.25/0.52 fof(f1272,plain,(
% 0.25/0.52 sQ0_spl|~sQ1_spl),
% 0.25/0.52 inference(split_clause,[status(thm)],[f1158,f1266,f1269])).
% 0.25/0.52 fof(f1273,plain,(
% 0.25/0.52 sQ1_spl|~sQ0_spl),
% 0.25/0.52 inference(split_clause,[status(thm)],[f1159,f1269,f1266])).
% 0.25/0.52 fof(f1274,plain,(
% 0.25/0.52 ~sQ1_spl|~sQ0_spl),
% 0.25/0.52 inference(split_clause,[status(thm)],[f1160,f1269,f1266])).
% 0.25/0.52 fof(f1275,plain,(
% 0.25/0.52 sQ0_spl|sQ1_spl),
% 0.25/0.52 inference(split_clause,[status(thm)],[f1161,f1266,f1269])).
% 0.25/0.52 fof(f1276,plain,(
% 0.25/0.52 $false),
% 0.25/0.52 inference(sat_refutation,[status(thm)],[f1272,f1273,f1274,f1275])).
% 0.25/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.54 % Elapsed time: 0.102063 seconds
% 0.25/0.54 % CPU time: 0.205006 seconds
% 0.25/0.54 % Total memory used: 62.821 MB
% 0.25/0.54 % Net memory used: 62.646 MB
%------------------------------------------------------------------------------