%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV675-1 : 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 : n004.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 02:53:00 PM UTC 2026
% Result : Unsatisfiable 0.37s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV675-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n004.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 09:18:50 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.24/0.52 % Drodi V4.1.1
% 0.37/0.57 % Refutation found
% 0.37/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.37/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.37/0.57 fof(f953,axiom,(
% 0.37/0.57 (![V_m,V_n]: (( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| ~ c_lessequals(V_m,V_n,tc_nat) ) ))),
% 0.37/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.37/0.57 fof(f961,axiom,(
% 0.37/0.57 (![V_m,V_n]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ))),
% 0.37/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.37/0.57 fof(f989,axiom,(
% 0.37/0.57 (![V_m,V_n]: (( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ))),
% 0.37/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.37/0.57 fof(f1224,axiom,(
% 0.37/0.57 (![V_m]: (c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 0.37/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.37/0.57 fof(f1266,negated_conjecture,(
% 0.37/0.57 c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 0.37/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.37/0.57 fof(f2923,plain,(
% 0.37/0.57 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 0.37/0.57 inference(cnf_transformation,[status(thm)],[f953])).
% 0.37/0.57 fof(f2935,plain,(
% 0.37/0.57 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat))),
% 0.37/0.57 inference(cnf_transformation,[status(thm)],[f961])).
% 0.37/0.57 fof(f2978,plain,(
% 0.37/0.57 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat))),
% 0.37/0.57 inference(cnf_transformation,[status(thm)],[f989])).
% 0.37/0.57 fof(f3334,plain,(
% 0.37/0.57 ![X0]: (c_HOL_Ominus__class_Ominus(X0,X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 0.37/0.57 inference(cnf_transformation,[status(thm)],[f1224])).
% 0.37/0.57 fof(f3401,plain,(
% 0.37/0.57 c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 0.37/0.57 inference(cnf_transformation,[status(thm)],[f1266])).
% 0.37/0.57 fof(f3651,plain,(
% 0.37/0.57 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat))),
% 0.37/0.57 inference(paramodulation,[status(thm)],[f3334,f2935])).
% 0.37/0.57 fof(f3829,plain,(
% 0.37/0.57 c_HOL_Oord__class_Oless(c_Suc(v_y),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)),
% 0.37/0.57 inference(resolution,[status(thm)],[f2923,f3401])).
% 0.37/0.57 fof(f3930,plain,(
% 0.37/0.57 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(v_y),tc_nat)),
% 0.37/0.57 inference(resolution,[status(thm)],[f2978,f3829])).
% 0.37/0.57 fof(f3943,plain,(
% 0.37/0.57 $false),
% 0.37/0.57 inference(forward_subsumption_resolution,[status(thm)],[f3930,f3651])).
% 0.37/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.37/0.61 % Elapsed time: 0.180631 seconds
% 0.37/0.61 % CPU time: 0.414242 seconds
% 0.37/0.61 % Total memory used: 176.256 MB
% 0.37/0.61 % Net memory used: 175.163 MB
%------------------------------------------------------------------------------