%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV578-1 : 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 : 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 02:52:51 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV578-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 09:14:08 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.22/0.49 % Drodi V4.1.1
% 0.22/0.59 % Refutation found
% 0.22/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.59 fof(f1075,axiom,(
% 0.22/0.59 (![T_a,V_f,V_m,V_n]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat),tc_nat,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(V_f,V_m)),c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,V_m),V_n,tc_nat),tc_nat,T_a))| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(V_m,tc_nat),V_n)) ) ))),
% 0.22/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.59 fof(f1079,axiom,(
% 0.22/0.59 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_m,tc_nat),v_n)) ),
% 0.22/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.59 fof(f1080,axiom,(
% 0.22/0.59 (![V_l,V_u]: (c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,V_l),V_u,tc_nat) = c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,tc_nat) ))),
% 0.22/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.59 fof(f1100,negated_conjecture,(
% 0.22/0.59 class_OrderedGroup_Ocomm__monoid__add(t_a) ),
% 0.22/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.59 fof(f1101,negated_conjecture,(
% 0.22/0.59 hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(v_f,v_m)),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a)) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a) ),
% 0.22/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.59 fof(f3118,plain,(
% 0.22/0.59 ![V_m,V_n]: ((![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_f]: c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat),tc_nat,T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(V_f,V_m)),c_Finite__Set_Osetsum(V_f,c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,V_m),V_n,tc_nat),tc_nat,T_a)))))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(V_m,tc_nat),V_n)))),
% 0.22/0.59 inference(miniscoping,[status(thm)],[f1075])).
% 0.22/0.59 fof(f3119,plain,(
% 0.22/0.59 ![X0,X1,X2,X3]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X0)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X2),X3,tc_nat),tc_nat,X0))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)))),
% 0.22/0.59 inference(cnf_transformation,[status(thm)],[f3118])).
% 0.22/0.59 fof(f3124,plain,(
% 0.22/0.59 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_m,tc_nat),v_n))),
% 0.22/0.59 inference(cnf_transformation,[status(thm)],[f1079])).
% 0.22/0.59 fof(f3125,plain,(
% 0.22/0.59 ![X0,X1]: (c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X0),X1,tc_nat)=c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat))),
% 0.22/0.59 inference(cnf_transformation,[status(thm)],[f1080])).
% 0.22/0.59 fof(f3164,plain,(
% 0.22/0.59 class_OrderedGroup_Ocomm__monoid__add(t_a)),
% 0.22/0.59 inference(cnf_transformation,[status(thm)],[f1100])).
% 0.22/0.59 fof(f3165,plain,(
% 0.22/0.59 ~hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(v_f,v_m)),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a))=c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a)),
% 0.22/0.59 inference(cnf_transformation,[status(thm)],[f1101])).
% 0.22/0.59 fof(f3732,plain,(
% 0.22/0.59 ![X0,X1,X2,X3]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X0)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OgreaterThanLessThan(X2,X3,tc_nat),tc_nat,X0))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)))),
% 0.22/0.59 inference(forward_demodulation,[status(thm)],[f3125,f3119])).
% 0.22/0.59 fof(f3735,plain,(
% 0.22/0.59 ![X0,X1,X2]: (c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,tc_nat),tc_nat,t_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(X0,X1)),c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat,t_a))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)))),
% 0.22/0.59 inference(resolution,[status(thm)],[f3732,f3164])).
% 0.22/0.59 fof(f3741,plain,(
% 0.22/0.59 ![X0]: (c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(X0,v_m)),c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a)))),
% 0.22/0.60 inference(resolution,[status(thm)],[f3735,f3124])).
% 0.22/0.60 fof(f3747,plain,(
% 0.22/0.60 ~c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a)=c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a)),
% 0.22/0.60 inference(backward_demodulation,[status(thm)],[f3741,f3165])).
% 0.22/0.60 fof(f3759,plain,(
% 0.22/0.60 $false),
% 0.22/0.60 inference(trivial_equality_resolution,[status(thm)],[f3747])).
% 0.22/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.63 % Elapsed time: 0.247345 seconds
% 0.22/0.63 % CPU time: 0.909720 seconds
% 0.22/0.63 % Total memory used: 180.469 MB
% 0.22/0.63 % Net memory used: 179.408 MB
%------------------------------------------------------------------------------