%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM924+6 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 01:44:05 PM UTC 2026
% Result : Theorem 0.94s 0.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM924+6 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.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 03:21:38 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.41 % Drodi V4.1.1
% 0.94/0.66 % Refutation found
% 0.94/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.94/0.66 % SZS output start CNFRefutation for theBenchmark
% 0.94/0.66 fof(f42,hypothesis,(
% 0.94/0.66 (! [B_1_1] : ti(int,bit1(B_1_1)) = bit1(B_1_1) )),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f43,axiom,(
% 0.94/0.66 ti(int,min) = min ),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f44,hypothesis,(
% 0.94/0.66 ti(int,pls) = pls ),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f68,axiom,(
% 0.94/0.66 ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))) ),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f69,axiom,(
% 0.94/0.66 plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) ),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f88,axiom,(
% 0.94/0.66 (! [K] : number_number_of(int,K) = ti(int,K) )),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f89,axiom,(
% 0.94/0.66 (! [Z,W] : times_times(int,Z,W) = times_times(int,W,Z) )),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f128,axiom,(
% 0.94/0.66 (! [W] : times_times(int,pls,W) = pls )),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f162,axiom,(
% 0.94/0.66 (! [Z,W] : plus_plus(int,Z,W) = plus_plus(int,W,Z) )),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f163,axiom,(
% 0.94/0.66 zero_zero(int) = number_number_of(int,pls) ),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f175,axiom,(
% 0.94/0.66 one_one(int) = number_number_of(int,bit1(pls)) ),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f390,axiom,(
% 0.94/0.66 minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) ),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f650,conjecture,(
% 0.94/0.66 ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)) ),
% 0.94/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.94/0.66 fof(f651,negated_conjecture,(
% 0.94/0.66 ~(ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)) )),
% 0.94/0.66 inference(negated_conjecture,[status(cth)],[f650])).
% 0.94/0.66 fof(f759,plain,(
% 0.94/0.66 ![X0]: (ti(int,bit1(X0))=bit1(X0))),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f42])).
% 0.94/0.66 fof(f760,plain,(
% 0.94/0.66 ti(int,min)=min),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f43])).
% 0.94/0.66 fof(f761,plain,(
% 0.94/0.66 ti(int,pls)=pls),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f44])).
% 0.94/0.66 fof(f828,plain,(
% 0.94/0.66 ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f68])).
% 0.94/0.66 fof(f829,plain,(
% 0.94/0.66 plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))=times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f69])).
% 0.94/0.66 fof(f875,plain,(
% 0.94/0.66 ![X0]: (number_number_of(int,X0)=ti(int,X0))),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f88])).
% 0.94/0.66 fof(f876,plain,(
% 0.94/0.66 ![X0,X1]: (times_times(int,X0,X1)=times_times(int,X1,X0))),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f89])).
% 0.94/0.66 fof(f1000,plain,(
% 0.94/0.66 ![X0]: (times_times(int,pls,X0)=pls)),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f128])).
% 0.94/0.66 fof(f1099,plain,(
% 0.94/0.66 ![X0,X1]: (plus_plus(int,X0,X1)=plus_plus(int,X1,X0))),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f162])).
% 0.94/0.66 fof(f1100,plain,(
% 0.94/0.66 zero_zero(int)=number_number_of(int,pls)),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f163])).
% 0.94/0.66 fof(f1132,plain,(
% 0.94/0.66 one_one(int)=number_number_of(int,bit1(pls))),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f175])).
% 0.94/0.66 fof(f1674,plain,(
% 0.94/0.66 minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min))=plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f390])).
% 0.94/0.66 fof(f2259,plain,(
% 0.94/0.66 ~ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int))),
% 0.94/0.66 inference(cnf_transformation,[status(thm)],[f651])).
% 0.94/0.66 fof(f2274,plain,(
% 0.94/0.66 ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))),
% 0.94/0.66 inference(backward_demodulation,[status(thm)],[f829,f828])).
% 0.94/0.66 fof(f2297,plain,(
% 0.94/0.66 zero_zero(int)=ti(int,pls)),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f875,f1100])).
% 0.94/0.66 fof(f2302,plain,(
% 0.94/0.66 zero_zero(int)=pls),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f761,f2297])).
% 0.94/0.66 fof(f2304,plain,(
% 0.94/0.66 one_one(int)=ti(int,bit1(pls))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f875,f1132])).
% 0.94/0.66 fof(f2337,plain,(
% 0.94/0.66 one_one(int)=bit1(pls)),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f759,f2304])).
% 0.94/0.66 fof(f2662,plain,(
% 0.94/0.66 minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),number_number_of(int,min))=plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f2337,f1674])).
% 0.94/0.66 fof(f2663,plain,(
% 0.94/0.66 minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),ti(int,min))=plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f875,f2662])).
% 0.94/0.66 fof(f2664,plain,(
% 0.94/0.66 minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),min)=plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f760,f2663])).
% 0.94/0.66 fof(f2665,plain,(
% 0.94/0.66 minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),min)=plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f1099,f2664])).
% 0.94/0.66 fof(f2667,plain,(
% 0.94/0.66 minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),min)=plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(one_one(int)))))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f2337,f2665])).
% 0.94/0.66 fof(f2786,plain,(
% 0.94/0.66 ~ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),zero_zero(int))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f1099,f2259])).
% 0.94/0.66 fof(f2787,plain,(
% 0.94/0.66 ~ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(one_one(int))))),zero_zero(int))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f2337,f2786])).
% 0.94/0.66 fof(f2788,plain,(
% 0.94/0.66 ~ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),min),zero_zero(int))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f2667,f2787])).
% 0.94/0.66 fof(f2789,plain,(
% 0.94/0.66 ~ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),min),pls)),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f2302,f2788])).
% 0.94/0.66 fof(f2798,plain,(
% 0.94/0.66 ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f1099,f2274])).
% 0.94/0.66 fof(f2799,plain,(
% 0.94/0.66 ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(one_one(int))))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))),
% 0.94/0.66 inference(forward_demodulation,[status(thm)],[f2337,f2798])).
% 0.94/0.66 fof(f2800,plain,(
% 0.94/0.66 ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),min),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))),
% 0.94/0.68 inference(forward_demodulation,[status(thm)],[f2667,f2799])).
% 0.94/0.68 fof(f2801,plain,(
% 0.94/0.68 ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),min),times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))),
% 0.94/0.68 inference(forward_demodulation,[status(thm)],[f876,f2800])).
% 0.94/0.68 fof(f2802,plain,(
% 0.94/0.68 ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),min),times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))),
% 0.94/0.68 inference(forward_demodulation,[status(thm)],[f2302,f2801])).
% 0.94/0.68 fof(f2803,plain,(
% 0.94/0.68 ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(one_one(int)))),min),pls)),
% 0.94/0.68 inference(forward_demodulation,[status(thm)],[f1000,f2802])).
% 0.94/0.68 fof(f2804,plain,(
% 0.94/0.68 $false),
% 0.94/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2803,f2789])).
% 0.94/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.94/0.71 % Elapsed time: 0.328863 seconds
% 0.94/0.71 % CPU time: 1.963348 seconds
% 0.94/0.71 % Total memory used: 172.829 MB
% 0.94/0.71 % Net memory used: 171.457 MB
%------------------------------------------------------------------------------