%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM925+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.16s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM925+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.52 % Computer : n018.cluster.edu
% 0.08/0.52 % Model : x86_64 x86_64
% 0.08/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.52 % Memory : 8046.5625MB
% 0.08/0.52 % OS : Linux 6.8.0-71-generic
% 0.08/0.52 % CPULimit : 300
% 0.08/0.52 % WCLimit : 300
% 0.08/0.52 % DateTime : Mon Sep 21 03:19:43 UTC 2026
% 0.08/0.53 % CPUTime :
% 0.16/0.58 % Drodi V4.1.1
% 0.16/0.60 % Refutation found
% 0.16/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.60 fof(f6,axiom,(
% 0.16/0.60 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))) ),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f16,axiom,(
% 0.16/0.60 (! [A_24] :( hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int<=> A_24 = zero_zero_int ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f54,axiom,(
% 0.16/0.60 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)) ),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f104,axiom,(
% 0.16/0.60 pls = zero_zero_int ),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f708,conjecture,(
% 0.16/0.60 hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f709,negated_conjecture,(
% 0.16/0.60 ~(hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int )),
% 0.16/0.60 inference(negated_conjecture,[status(cth)],[f708])).
% 0.16/0.60 fof(f715,plain,(
% 0.16/0.60 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))))),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.60 fof(f733,plain,(
% 0.16/0.60 ![A_24]: ((~hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|A_24=zero_zero_int)&(hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|~A_24=zero_zero_int))),
% 0.16/0.60 inference(NNF_transformation,[status(thm)],[f16])).
% 0.16/0.60 fof(f734,plain,(
% 0.16/0.60 (![A_24]: (~hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|A_24=zero_zero_int))&(![A_24]: (hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|~A_24=zero_zero_int))),
% 0.16/0.60 inference(miniscoping,[status(thm)],[f733])).
% 0.16/0.60 fof(f735,plain,(
% 0.16/0.60 ![X0]: (~hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|X0=zero_zero_int)),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f734])).
% 0.16/0.60 fof(f804,plain,(
% 0.16/0.60 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls))),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f54])).
% 0.16/0.60 fof(f960,plain,(
% 0.16/0.60 pls=zero_zero_int),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f104])).
% 0.16/0.60 fof(f2553,plain,(
% 0.16/0.60 hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f709])).
% 0.16/0.60 fof(f2648,plain,(
% 0.16/0.60 hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(zero_zero_int))))=zero_zero_int),
% 0.16/0.60 inference(backward_demodulation,[status(thm)],[f960,f2553])).
% 0.16/0.60 fof(f2680,plain,(
% 0.16/0.60 ![X0]: (~hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(zero_zero_int))))=zero_zero_int|X0=zero_zero_int)),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f960,f735])).
% 0.16/0.60 fof(f2681,plain,(
% 0.16/0.60 hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int),
% 0.16/0.60 inference(resolution,[status(thm)],[f2680,f2648])).
% 0.16/0.60 fof(f2787,plain,(
% 0.16/0.60 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int))),
% 0.16/0.60 inference(backward_demodulation,[status(thm)],[f2681,f715])).
% 0.16/0.60 fof(f2929,plain,(
% 0.16/0.60 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),pls))),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f960,f804])).
% 0.16/0.60 fof(f2930,plain,(
% 0.16/0.60 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int))),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f960,f2929])).
% 0.16/0.60 fof(f2931,plain,(
% 0.16/0.60 $false),
% 0.16/0.60 inference(forward_subsumption_resolution,[status(thm)],[f2930,f2787])).
% 0.16/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.64 % Elapsed time: 0.106613 seconds
% 0.20/0.64 % CPU time: 0.261895 seconds
% 0.20/0.64 % Total memory used: 89.412 MB
% 0.20/0.64 % Net memory used: 88.970 MB
%------------------------------------------------------------------------------