%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM924+3 : 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 : n013.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 01:44:04 PM UTC 2026
% Result : Theorem 4.18s 1.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM924+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:16:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.11/0.45 % Drodi V4.1.1
% 4.18/1.01 % Refutation found
% 4.18/1.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.18/1.01 % SZS output start CNFRefutation for theBenchmark
% 4.18/1.01 fof(f28,axiom,(
% 4.18/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))) ),
% 4.18/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.18/1.01 fof(f29,axiom,(
% 4.18/1.01 hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) ),
% 4.18/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.18/1.01 fof(f198,axiom,(
% 4.18/1.01 pls = zero_zero_int ),
% 4.18/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.18/1.01 fof(f393,axiom,(
% 4.18/1.01 (! [A_90] : hAPP_int_int(times_times_int(A_90),zero_zero_int) = zero_zero_int )),
% 4.18/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.18/1.01 fof(f1230,conjecture,(
% 4.18/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)) ),
% 4.18/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.18/1.01 fof(f1231,negated_conjecture,(
% 4.18/1.01 ~(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)) )),
% 4.18/1.01 inference(negated_conjecture,[status(cth)],[f1230])).
% 4.18/1.01 fof(f1275,plain,(
% 4.18/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)))),
% 4.18/1.01 inference(cnf_transformation,[status(thm)],[f28])).
% 4.18/1.01 fof(f1276,plain,(
% 4.18/1.01 hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),
% 4.18/1.01 inference(cnf_transformation,[status(thm)],[f29])).
% 4.18/1.01 fof(f1710,plain,(
% 4.18/1.01 pls=zero_zero_int),
% 4.18/1.01 inference(cnf_transformation,[status(thm)],[f198])).
% 4.18/1.01 fof(f2052,plain,(
% 4.18/1.01 ![X0]: (hAPP_int_int(times_times_int(X0),zero_zero_int)=zero_zero_int)),
% 4.18/1.01 inference(cnf_transformation,[status(thm)],[f393])).
% 4.18/1.01 fof(f4406,plain,(
% 4.18/1.01 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int))),
% 4.18/1.01 inference(cnf_transformation,[status(thm)],[f1231])).
% 4.18/1.01 fof(f4457,plain,(
% 4.18/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)))),
% 4.18/1.01 inference(backward_demodulation,[status(thm)],[f1276,f1275])).
% 4.18/1.01 fof(f5222,plain,(
% 4.18/1.01 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(zero_zero_int))))),one_one_int)),zero_zero_int))),
% 4.18/1.01 inference(forward_demodulation,[status(thm)],[f1710,f4406])).
% 4.18/1.01 fof(f5226,plain,(
% 4.18/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(zero_zero_int))))),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int)))),
% 4.18/1.02 inference(forward_demodulation,[status(thm)],[f1710,f4457])).
% 4.18/1.02 fof(f5227,plain,(
% 4.18/1.02 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(zero_zero_int))))),one_one_int)),zero_zero_int))),
% 4.18/1.02 inference(forward_demodulation,[status(thm)],[f2052,f5226])).
% 4.18/1.02 fof(f5228,plain,(
% 4.18/1.02 $false),
% 4.18/1.02 inference(forward_subsumption_resolution,[status(thm)],[f5227,f5222])).
% 4.18/1.02 % SZS output end CNFRefutation for theBenchmark.p
% 4.18/1.05 % Elapsed time: 0.691302 seconds
% 4.18/1.05 % CPU time: 4.564943 seconds
% 4.18/1.05 % Total memory used: 282.466 MB
% 4.18/1.05 % Net memory used: 276.301 MB
%------------------------------------------------------------------------------