%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG428-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 11:50:10 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG428-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n002.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 13:23:17 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.73 % Refutation found
% 0.16/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.73 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.73 fof(f78,axiom,(
% 0.16/0.73 (![V_n]: (( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ))),
% 0.16/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.73 fof(f667,axiom,(
% 0.16/0.73 (![V_n]: (( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)| V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ))),
% 0.16/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.73 fof(f787,axiom,(
% 0.16/0.73 c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 0.16/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.73 fof(f792,negated_conjecture,(
% 0.16/0.73 ~ v_thesis____ ),
% 0.16/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.73 fof(f793,negated_conjecture,(
% 0.16/0.73 (![V_x]: (( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(V_x)| v_thesis____ ) ))),
% 0.16/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.73 fof(f1019,plain,(
% 0.16/0.73 ![X0]: (c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=X0|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat))),
% 0.16/0.73 inference(cnf_transformation,[status(thm)],[f78])).
% 0.16/0.73 fof(f1987,plain,(
% 0.16/0.73 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|X0=c_HOL_Ozero__class_Ozero(tc_nat))),
% 0.16/0.73 inference(cnf_transformation,[status(thm)],[f667])).
% 0.16/0.73 fof(f2150,plain,(
% 0.16/0.73 ~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 0.16/0.73 inference(cnf_transformation,[status(thm)],[f787])).
% 0.16/0.73 fof(f2155,plain,(
% 0.16/0.73 ~v_thesis____),
% 0.16/0.73 inference(cnf_transformation,[status(thm)],[f792])).
% 0.16/0.73 fof(f2156,plain,(
% 0.16/0.73 (![V_x]: ~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_Suc(V_x))|v_thesis____),
% 0.16/0.73 inference(miniscoping,[status(thm)],[f793])).
% 0.16/0.73 fof(f2157,plain,(
% 0.16/0.73 ![X0]: (~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_Suc(X0)|v_thesis____)),
% 0.16/0.73 inference(cnf_transformation,[status(thm)],[f2156])).
% 0.16/0.73 fof(f2257,plain,(
% 0.16/0.73 ![X0]: (~c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_Suc(X0))),
% 0.16/0.73 inference(forward_subsumption_resolution,[status(thm)],[f2157,f2155])).
% 0.16/0.73 fof(f2432,plain,(
% 0.16/0.73 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=X0)),
% 0.16/0.73 inference(resolution,[status(thm)],[f1987,f1019])).
% 0.16/0.73 fof(f2494,plain,(
% 0.16/0.73 c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 0.16/0.73 inference(resolution,[status(thm)],[f2432,f2257])).
% 0.16/0.73 fof(f2620,plain,(
% 0.16/0.73 ~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 0.16/0.73 inference(forward_demodulation,[status(thm)],[f2494,f2150])).
% 0.16/0.73 fof(f2621,plain,(
% 0.16/0.73 $false),
% 0.16/0.73 inference(trivial_equality_resolution,[status(thm)],[f2620])).
% 0.16/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 0.56/0.74 % Elapsed time: 0.390684 seconds
% 0.56/0.74 % CPU time: 2.132439 seconds
% 0.56/0.74 % Total memory used: 163.331 MB
% 0.56/0.74 % Net memory used: 161.653 MB
%------------------------------------------------------------------------------