%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV678-1 : 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 : n003.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 0.27s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV678-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n003.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 09:20:31 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.27/0.51 % Drodi V4.1.1
% 0.27/0.68 % Refutation found
% 0.27/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.68 % SZS output start CNFRefutation for theBenchmark
% 0.27/0.68 fof(f426,axiom,(
% 0.27/0.68 ( ~ class_Ring__and__Field_Ofield(t_a)| v_a != c_HOL_Ozero__class_Ozero(t_a) ) ),
% 0.27/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.68 fof(f603,axiom,(
% 0.27/0.68 (![T_a,V_a,V_m,V_n]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_Power_Opower__class_Opower(V_a,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| ~ c_lessequals(V_n,V_m,tc_nat)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 0.27/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.68 fof(f613,axiom,(
% 0.27/0.68 c_lessequals(v_n,v_m,tc_nat) ),
% 0.27/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.68 fof(f641,negated_conjecture,(
% 0.27/0.68 class_Ring__and__Field_Ofield(t_a) ),
% 0.27/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.68 fof(f643,negated_conjecture,(
% 0.27/0.68 ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)| ~ c_lessequals(v_n,v_m,tc_nat) ) ),
% 0.27/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.68 fof(f1340,plain,(
% 0.27/0.68 ~class_Ring__and__Field_Ofield(t_a)|~v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 0.27/0.68 inference(cnf_transformation,[status(thm)],[f426])).
% 0.27/0.68 fof(f1605,plain,(
% 0.27/0.68 ![T_a,V_a]: ((![V_m,V_n]: ((~class_Ring__and__Field_Ofield(T_a)|c_Power_Opower__class_Opower(V_a,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a))|~c_lessequals(V_n,V_m,tc_nat)))|V_a=c_HOL_Ozero__class_Ozero(T_a))),
% 0.27/0.68 inference(miniscoping,[status(thm)],[f603])).
% 0.27/0.68 fof(f1606,plain,(
% 0.27/0.68 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ofield(X0)|c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)|~c_lessequals(X3,X2,tc_nat)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 0.27/0.68 inference(cnf_transformation,[status(thm)],[f1605])).
% 0.27/0.68 fof(f1621,plain,(
% 0.27/0.68 c_lessequals(v_n,v_m,tc_nat)),
% 0.27/0.68 inference(cnf_transformation,[status(thm)],[f613])).
% 0.27/0.68 fof(f1667,plain,(
% 0.27/0.68 class_Ring__and__Field_Ofield(t_a)),
% 0.27/0.68 inference(cnf_transformation,[status(thm)],[f641])).
% 0.27/0.68 fof(f1669,plain,(
% 0.27/0.68 ~c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)=c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)|~c_lessequals(v_n,v_m,tc_nat)),
% 0.27/0.68 inference(cnf_transformation,[status(thm)],[f643])).
% 0.27/0.68 fof(f1715,plain,(
% 0.27/0.68 ~c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)=c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)),
% 0.27/0.68 inference(backward_subsumption_resolution,[status(thm)],[f1669,f1621])).
% 0.27/0.68 fof(f1746,plain,(
% 0.27/0.68 ![X0,X1,X2]: (c_Power_Opower__class_Opower(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,t_a),c_Power_Opower__class_Opower(X0,X2,t_a),t_a)|~c_lessequals(X2,X1,tc_nat)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 0.27/0.68 inference(resolution,[status(thm)],[f1606,f1667])).
% 0.27/0.68 fof(f1751,plain,(
% 0.27/0.68 ![X0]: (c_Power_Opower__class_Opower(X0,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,v_m,t_a),c_Power_Opower__class_Opower(X0,v_n,t_a),t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 0.27/0.68 inference(resolution,[status(thm)],[f1746,f1621])).
% 0.27/0.68 fof(f1904,plain,(
% 0.27/0.68 v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 0.27/0.68 inference(resolution,[status(thm)],[f1715,f1751])).
% 0.27/0.68 fof(f1931,plain,(
% 0.27/0.68 ~class_Ring__and__Field_Ofield(t_a)|~v_a=v_a),
% 0.27/0.68 inference(forward_demodulation,[status(thm)],[f1904,f1340])).
% 0.27/0.68 fof(f1932,plain,(
% 0.27/0.68 ~class_Ring__and__Field_Ofield(t_a)),
% 0.27/0.68 inference(trivial_equality_resolution,[status(thm)],[f1931])).
% 0.27/0.68 fof(f1933,plain,(
% 0.27/0.70 $false),
% 0.27/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1932,f1667])).
% 0.27/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.72 % Elapsed time: 0.272909 seconds
% 0.27/0.72 % CPU time: 1.456282 seconds
% 0.27/0.72 % Total memory used: 147.322 MB
% 0.27/0.72 % Net memory used: 146.485 MB
%------------------------------------------------------------------------------