%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV633-1 : 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 : n011.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 02:52:56 PM UTC 2026
% Result : Unsatisfiable 0.50s 15.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV633-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/15.60 % CPULimit : 300
% 0.09/15.60 % WCLimit : 300
% 0.09/15.60 % DateTime : Mon Sep 21 09:15:29 UTC 2026
% 0.09/15.60 % CPUTime :
% 0.50/15.77 % Drodi V4.1.1
% 0.50/15.93 % Refutation found
% 0.50/15.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.50/15.93 % SZS output start CNFRefutation for theBenchmark
% 0.50/15.93 fof(f1114,axiom,(
% 0.50/15.93 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 0.50/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.50/15.93 fof(f1150,axiom,(
% 0.50/15.93 c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 0.50/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.50/15.93 fof(f1288,axiom,(
% 0.50/15.93 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 0.50/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.50/15.93 fof(f1326,axiom,(
% 0.50/15.93 (![V_m,V_n,V_k]: (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ))),
% 0.50/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.50/15.93 fof(f1346,axiom,(
% 0.50/15.93 (![V_m,V_n]: (c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ))),
% 0.50/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.50/15.93 fof(f1352,negated_conjecture,(
% 0.50/15.93 c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) ),
% 0.50/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.50/15.93 fof(f3241,plain,(
% 0.50/15.93 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 0.50/15.93 inference(cnf_transformation,[status(thm)],[f1114])).
% 0.50/15.93 fof(f3300,plain,(
% 0.50/15.93 c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)=c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
% 0.50/15.93 inference(cnf_transformation,[status(thm)],[f1150])).
% 0.50/15.93 fof(f3506,plain,(
% 0.50/15.93 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat)=c_HOL_Oone__class_Oone(tc_nat)),
% 0.50/15.93 inference(cnf_transformation,[status(thm)],[f1288])).
% 0.50/15.93 fof(f3565,plain,(
% 0.50/15.93 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)=c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))),
% 0.50/15.93 inference(cnf_transformation,[status(thm)],[f1326])).
% 0.50/15.93 fof(f3602,plain,(
% 0.50/15.93 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)=c_HOL_Otimes__class_Otimes(X1,X0,tc_nat))),
% 0.50/15.93 inference(cnf_transformation,[status(thm)],[f1346])).
% 0.50/15.93 fof(f3612,plain,(
% 0.50/15.93 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex)),
% 0.50/15.93 inference(cnf_transformation,[status(thm)],[f1352])).
% 0.50/15.93 fof(f3769,plain,(
% 0.50/15.93 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_Complex_Ocomplex)),
% 0.50/15.93 inference(paramodulation,[status(thm)],[f3602,f3612])).
% 0.50/15.93 fof(f3836,plain,(
% 0.50/15.93 c_HOL_Oone__class_Oone(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 0.50/15.93 inference(forward_demodulation,[status(thm)],[f3506,f3241])).
% 0.50/15.93 fof(f3863,plain,(
% 0.50/15.93 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_Complex_Ocomplex)),
% 0.50/15.93 inference(backward_demodulation,[status(thm)],[f3866,f3769])).
% 0.50/15.93 fof(f3866,plain,(
% 0.50/15.93 c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)=c_Suc(c_HOL_Oone__class_Oone(tc_nat))),
% 0.50/15.93 inference(forward_demodulation,[status(thm)],[f3836,f3300])).
% 0.50/15.93 fof(f3876,plain,(
% 0.50/15.93 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_Complex_Ocomplex)),
% 0.50/15.93 inference(forward_demodulation,[status(thm)],[f3866,f3863])).
% 0.50/15.93 fof(f3877,plain,(
% 0.50/15.93 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_Complex_Ocomplex)),
% 0.50/15.93 inference(forward_demodulation,[status(thm)],[f3866,f3876])).
% 0.50/15.93 fof(f3878,plain,(
% 0.50/15.93 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_Complex_Ocomplex)),
% 0.50/15.93 inference(forward_demodulation,[status(thm)],[f3866,f3877])).
% 0.50/15.93 fof(f4419,plain,(
% 0.50/15.93 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(v_j,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat),tc_Complex_Ocomplex)),
% 0.50/15.93 inference(backward_demodulation,[status(thm)],[f3565,f3878])).
% 0.50/15.93 fof(f4550,plain,(
% 0.50/15.93 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(v_j,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(v_j,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat),tc_Complex_Ocomplex)),
% 0.50/15.93 inference(paramodulation,[status(thm)],[f3602,f4419])).
% 0.50/15.93 fof(f4552,plain,(
% 0.50/15.93 $false),
% 0.50/15.93 inference(trivial_equality_resolution,[status(thm)],[f4550])).
% 0.50/15.93 % SZS output end CNFRefutation for theBenchmark.p
% 0.50/15.95 % Elapsed time: 0.340771 seconds
% 0.50/15.95 % CPU time: 1.315018 seconds
% 0.50/15.95 % Total memory used: 188.106 MB
% 0.50/15.95 % Net memory used: 186.764 MB
%------------------------------------------------------------------------------