%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV677-1 : 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 : n026.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 17.77s 7.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV677-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n026.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.46 % CPULimit : 300
% 0.18/5.46 % WCLimit : 300
% 0.18/5.46 % DateTime : Mon Sep 21 09:21:27 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.23/5.53 % Drodi V4.1.1
% 17.77/7.88 % Refutation found
% 17.77/7.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.77/7.88 % SZS output start CNFRefutation for theBenchmark
% 17.77/7.88 fof(f426,axiom,(
% 17.77/7.88 ( ~ class_Ring__and__Field_Ofield(t_a)| v_a != c_HOL_Ozero__class_Ozero(t_a) ) ),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f556,axiom,(
% 17.77/7.88 (![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) ) ))),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f568,axiom,(
% 17.77/7.88 (![T_a,V_a,V_n,V_m]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_n,V_m,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_m,V_n,tc_nat)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f582,axiom,(
% 17.77/7.88 (![V_m,V_n]: (( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f583,axiom,(
% 17.77/7.88 (![V_m,V_n]: (( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)| ~ c_lessequals(V_m,V_n,tc_nat) ) ))),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f603,axiom,(
% 17.77/7.88 (![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) ) ))),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f604,axiom,(
% 17.77/7.88 (![V_n,V_m]: (( c_lessequals(V_n,V_m,tc_nat)| c_lessequals(V_m,V_n,tc_nat) ) ))),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f638,negated_conjecture,(
% 17.77/7.88 class_Ring__and__Field_Ofield(t_a) ),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f639,negated_conjecture,(
% 17.77/7.88 ( 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(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)| c_lessequals(v_n,v_m,tc_nat) ) ),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f640,negated_conjecture,(
% 17.77/7.88 ( 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) ) ),
% 17.77/7.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.77/7.88 fof(f1337,plain,(
% 17.77/7.88 ~class_Ring__and__Field_Ofield(t_a)|~v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f426])).
% 17.77/7.88 fof(f1530,plain,(
% 17.77/7.88 ![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)))),
% 17.77/7.88 inference(miniscoping,[status(thm)],[f556])).
% 17.77/7.88 fof(f1531,plain,(
% 17.77/7.88 ![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))),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f1530])).
% 17.77/7.88 fof(f1550,plain,(
% 17.77/7.88 ![T_a,V_a]: ((![V_n,V_m]: ((~class_Ring__and__Field_Ofield(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_n,V_m,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_m,V_n,tc_nat)))|V_a=c_HOL_Ozero__class_Ozero(T_a))),
% 17.77/7.88 inference(miniscoping,[status(thm)],[f568])).
% 17.77/7.88 fof(f1551,plain,(
% 17.77/7.88 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ofield(X0)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)|~c_lessequals(X3,X2,tc_nat)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f1550])).
% 17.77/7.88 fof(f1570,plain,(
% 17.77/7.88 ![X0,X1]: (~c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(X0,X1,tc_nat))),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f582])).
% 17.77/7.88 fof(f1571,plain,(
% 17.77/7.88 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f583])).
% 17.77/7.88 fof(f1602,plain,(
% 17.77/7.88 ![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))),
% 17.77/7.88 inference(miniscoping,[status(thm)],[f603])).
% 17.77/7.88 fof(f1603,plain,(
% 17.77/7.88 ![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))),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f1602])).
% 17.77/7.88 fof(f1604,plain,(
% 17.77/7.88 ![X0,X1]: (c_lessequals(X0,X1,tc_nat)|c_lessequals(X1,X0,tc_nat))),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f604])).
% 17.77/7.88 fof(f1661,plain,(
% 17.77/7.88 class_Ring__and__Field_Ofield(t_a)),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f638])).
% 17.77/7.88 fof(f1662,plain,(
% 17.77/7.88 ~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(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)|c_lessequals(v_n,v_m,tc_nat)),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f639])).
% 17.77/7.88 fof(f1663,plain,(
% 17.77/7.88 ~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)),
% 17.77/7.88 inference(cnf_transformation,[status(thm)],[f640])).
% 17.77/7.88 fof(f1753,plain,(
% 17.77/7.88 ~v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 17.77/7.88 inference(forward_subsumption_resolution,[status(thm)],[f1337,f1661])).
% 17.77/7.88 fof(f2126,plain,(
% 17.77/7.88 ![X0]: (c_HOL_Oinverse__class_Oinverse(X0,t_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a))),
% 17.77/7.88 inference(resolution,[status(thm)],[f1531,f1661])).
% 17.77/7.88 fof(f2173,plain,(
% 17.77/7.88 ~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(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)|c_lessequals(v_n,v_m,tc_nat)),
% 17.77/7.88 inference(backward_demodulation,[status(thm)],[f2126,f1662])).
% 17.77/7.88 fof(f2195,plain,(
% 17.77/7.88 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X0,X1,t_a),t_a)|~c_lessequals(X2,X1,tc_nat)|X0=c_HOL_Ozero__class_Ozero(t_a))),
% 17.77/7.88 inference(resolution,[status(thm)],[f1551,f1661])).
% 17.77/7.88 fof(f2572,plain,(
% 17.77/7.88 ![X0,X1,X2]: (~c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,t_a),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),t_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X0,t_a),c_Power_Opower__class_Opower(X2,X1,t_a),t_a)|X2=c_HOL_Ozero__class_Ozero(t_a))),
% 17.77/7.88 inference(resolution,[status(thm)],[f1570,f2195])).
% 17.77/7.88 fof(f2706,plain,(
% 17.77/7.88 ![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))),
% 17.77/7.92 inference(resolution,[status(thm)],[f1603,f1661])).
% 17.77/7.92 fof(f2922,plain,(
% 17.77/7.92 ![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)|X0=c_HOL_Ozero__class_Ozero(t_a)|~c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 17.77/7.92 inference(resolution,[status(thm)],[f2706,f1570])).
% 17.77/7.92 fof(f16172,plain,(
% 17.77/7.92 v_a=c_HOL_Ozero__class_Ozero(t_a)|~c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(v_n,v_m,tc_nat)),
% 17.77/7.92 inference(resolution,[status(thm)],[f2922,f1663])).
% 17.77/7.92 fof(f16199,plain,(
% 17.77/7.92 ~c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(v_n,v_m,tc_nat)),
% 17.77/7.92 inference(forward_subsumption_resolution,[status(thm)],[f16172,f1753])).
% 17.77/7.92 fof(f16934,plain,(
% 17.77/7.92 ~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(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)),
% 17.77/7.92 inference(backward_subsumption_resolution,[status(thm)],[f2173,f16935])).
% 17.77/7.92 fof(f16935,plain,(
% 17.77/7.92 ~c_lessequals(v_n,v_m,tc_nat)),
% 17.77/7.92 inference(forward_subsumption_resolution,[status(thm)],[f16199,f1571])).
% 17.77/7.92 fof(f16944,plain,(
% 17.77/7.92 c_lessequals(v_m,v_n,tc_nat)),
% 17.77/7.92 inference(resolution,[status(thm)],[f16935,f1604])).
% 17.77/7.92 fof(f16947,plain,(
% 17.77/7.92 ~c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|v_a=c_HOL_Ozero__class_Ozero(t_a)),
% 17.77/7.92 inference(resolution,[status(thm)],[f16934,f2572])).
% 17.77/7.92 fof(f16948,plain,(
% 17.77/7.92 ~c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 17.77/7.92 inference(forward_subsumption_resolution,[status(thm)],[f16947,f1753])).
% 17.77/7.92 fof(f16995,plain,(
% 17.77/7.92 c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 17.77/7.92 inference(resolution,[status(thm)],[f16944,f1571])).
% 17.77/7.92 fof(f18545,plain,(
% 17.77/7.92 $false),
% 17.77/7.92 inference(forward_subsumption_resolution,[status(thm)],[f16995,f16948])).
% 17.77/7.92 % SZS output end CNFRefutation for theBenchmark.p
% 5.39/7.95 % Elapsed time: 2.474296 seconds
% 5.39/7.95 % CPU time: 18.505871 seconds
% 5.39/7.95 % Total memory used: 292.666 MB
% 5.39/7.95 % Net memory used: 283.722 MB
%------------------------------------------------------------------------------