%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV674-1 : 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 : n020.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 02:52:59 PM UTC 2026
% Result : Unsatisfiable 52.10s 7.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV674-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 09:19:33 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.43 % Drodi V4.1.1
% 52.10/7.16 % Refutation found
% 52.10/7.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 52.10/7.16 % SZS output start CNFRefutation for theBenchmark
% 52.10/7.16 fof(f346,axiom,(
% 52.10/7.16 (![T_a,V_x]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ))),
% 52.10/7.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.10/7.16 fof(f366,axiom,(
% 52.10/7.16 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ))),
% 52.10/7.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.10/7.16 fof(f536,axiom,(
% 52.10/7.16 (![T_a,V_a,V_n]: (( ~ class_Ring__and__Field_Odivision__ring(T_a)| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 52.10/7.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.10/7.16 fof(f571,axiom,(
% 52.10/7.16 ( ~ class_Ring__and__Field_Ofield(t_a)| v_a != c_HOL_Ozero__class_Ozero(t_a) ) ),
% 52.10/7.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.10/7.16 fof(f580,axiom,(
% 52.10/7.16 (![V_m]: (c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ))),
% 52.10/7.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.10/7.16 fof(f613,negated_conjecture,(
% 52.10/7.16 class_Ring__and__Field_Ofield(t_a) ),
% 52.10/7.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.10/7.16 fof(f615,negated_conjecture,(
% 52.10/7.16 c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) ),
% 52.10/7.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.10/7.16 fof(f619,axiom,(
% 52.10/7.16 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_Ring__and__Field_Ocomm__semiring__1(T) ) ))),
% 52.10/7.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.10/7.16 fof(f622,axiom,(
% 52.10/7.16 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_Ring__and__Field_Odivision__ring(T) ) ))),
% 52.10/7.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.10/7.16 fof(f1253,plain,(
% 52.10/7.16 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_x]: c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a)))),
% 52.10/7.16 inference(miniscoping,[status(thm)],[f346])).
% 52.10/7.16 fof(f1254,plain,(
% 52.10/7.16 ![X0,X1]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0)=c_HOL_Oone__class_Oone(X0))),
% 52.10/7.16 inference(cnf_transformation,[status(thm)],[f1253])).
% 52.10/7.16 fof(f1277,plain,(
% 52.10/7.16 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a]: c_HOL_Oinverse__class_Oinverse(V_a,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a)))),
% 52.10/7.16 inference(miniscoping,[status(thm)],[f366])).
% 52.10/7.16 fof(f1278,plain,(
% 52.10/7.16 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Oinverse(X1,X0)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0))),
% 52.10/7.16 inference(cnf_transformation,[status(thm)],[f1277])).
% 52.10/7.16 fof(f1535,plain,(
% 52.10/7.16 ![T_a,V_a]: ((~class_Ring__and__Field_Odivision__ring(T_a)|(![V_n]: c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)))|V_a=c_HOL_Ozero__class_Ozero(T_a))),
% 52.10/7.16 inference(miniscoping,[status(thm)],[f536])).
% 52.10/7.16 fof(f1536,plain,(
% 52.10/7.16 ![X0,X1,X2]: (~class_Ring__and__Field_Odivision__ring(X0)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 52.10/7.16 inference(cnf_transformation,[status(thm)],[f1535])).
% 52.10/7.16 fof(f1588,plain,(
% 52.10/7.16 ~class_Ring__and__Field_Ofield(t_a)|~v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 52.10/7.16 inference(cnf_transformation,[status(thm)],[f571])).
% 52.10/7.16 fof(f1604,plain,(
% 52.10/7.16 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0)),
% 52.10/7.16 inference(cnf_transformation,[status(thm)],[f580])).
% 52.10/7.21 fof(f1661,plain,(
% 52.10/7.21 class_Ring__and__Field_Ofield(t_a)),
% 52.10/7.21 inference(cnf_transformation,[status(thm)],[f613])).
% 52.10/7.21 fof(f1663,plain,(
% 52.10/7.21 ~c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)),
% 52.10/7.21 inference(cnf_transformation,[status(thm)],[f615])).
% 52.10/7.21 fof(f1667,plain,(
% 52.10/7.21 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_Ring__and__Field_Ocomm__semiring__1(X0))),
% 52.10/7.21 inference(cnf_transformation,[status(thm)],[f619])).
% 52.10/7.21 fof(f1670,plain,(
% 52.10/7.21 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_Ring__and__Field_Odivision__ring(X0))),
% 52.10/7.21 inference(cnf_transformation,[status(thm)],[f622])).
% 52.10/7.21 fof(f1749,plain,(
% 52.10/7.21 ~v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 52.10/7.21 inference(forward_subsumption_resolution,[status(thm)],[f1588,f1661])).
% 52.10/7.21 fof(f1763,plain,(
% 52.10/7.21 ~c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)),
% 52.10/7.21 inference(backward_demodulation,[status(thm)],[f1604,f1663])).
% 52.10/7.21 fof(f2021,plain,(
% 52.10/7.21 ![X0]: (c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a))),
% 52.10/7.21 inference(resolution,[status(thm)],[f1278,f1661])).
% 52.10/7.21 fof(f3023,plain,(
% 52.10/7.21 class_Ring__and__Field_Ocomm__semiring__1(t_a)),
% 52.10/7.21 inference(resolution,[status(thm)],[f1667,f1661])).
% 52.10/7.21 fof(f3253,plain,(
% 52.10/7.21 class_Ring__and__Field_Odivision__ring(t_a)),
% 52.10/7.21 inference(resolution,[status(thm)],[f1670,f1661])).
% 52.10/7.21 fof(f9995,plain,(
% 52.10/7.21 ![X0]: (c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),t_a)=c_HOL_Oone__class_Oone(t_a))),
% 52.10/7.21 inference(resolution,[status(thm)],[f1254,f3023])).
% 52.10/7.21 fof(f10003,plain,(
% 52.10/7.21 ~c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)),
% 52.10/7.21 inference(backward_demodulation,[status(thm)],[f9995,f1763])).
% 52.10/7.21 fof(f10024,plain,(
% 52.10/7.21 ~c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a)=c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)),
% 52.10/7.21 inference(forward_demodulation,[status(thm)],[f2021,f10003])).
% 52.10/7.21 fof(f14465,plain,(
% 52.10/7.21 ![X0,X1]: (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,t_a),t_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),X1,t_a)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 52.10/7.21 inference(resolution,[status(thm)],[f1536,f3253])).
% 52.10/7.21 fof(f14473,plain,(
% 52.10/7.21 v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 52.10/7.21 inference(resolution,[status(thm)],[f14465,f10024])).
% 52.10/7.21 fof(f14497,plain,(
% 52.10/7.21 $false),
% 52.10/7.21 inference(forward_subsumption_resolution,[status(thm)],[f14473,f1749])).
% 52.10/7.21 % SZS output end CNFRefutation for theBenchmark.p
% 52.10/7.26 % Elapsed time: 6.876639 seconds
% 52.10/7.26 % CPU time: 53.571084 seconds
% 52.10/7.26 % Total memory used: 403.763 MB
% 52.10/7.26 % Net memory used: 383.557 MB
%------------------------------------------------------------------------------