%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM925+1 : 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 : 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 01:44:05 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM925+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % 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
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:17:41 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 ord_less_int(zero_zero_int,plus_plus_int(one_one_int,semiri1621563631at_int(n))) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (! [Xa,Ya] :( plus_plus_int(power_power_int(Xa,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Ya,number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int<=> ( Xa = zero_zero_int& Ya = zero_zero_int ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f37,axiom,(
% 0.12/0.39 ~ ord_less_int(pls,pls) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f79,axiom,(
% 0.12/0.39 pls = zero_zero_int ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f82,axiom,(
% 0.12/0.39 (! [K] : plus_plus_int(pls,K) = K )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f107,conjecture,(
% 0.12/0.39 power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f108,negated_conjecture,(
% 0.12/0.39 ~(power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int )),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f107])).
% 0.12/0.39 fof(f109,plain,(
% 0.12/0.39 ord_less_int(zero_zero_int,plus_plus_int(one_one_int,semiri1621563631at_int(n)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f111,plain,(
% 0.12/0.39 ![Xa,Ya]: ((~plus_plus_int(power_power_int(Xa,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Ya,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|(Xa=zero_zero_int&Ya=zero_zero_int))&(plus_plus_int(power_power_int(Xa,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Ya,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|(~Xa=zero_zero_int|~Ya=zero_zero_int)))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 (![Xa,Ya]: (~plus_plus_int(power_power_int(Xa,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Ya,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|(Xa=zero_zero_int&Ya=zero_zero_int)))&(![Xa,Ya]: (plus_plus_int(power_power_int(Xa,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Ya,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|(~Xa=zero_zero_int|~Ya=zero_zero_int)))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f111])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 ![X0,X1]: (~plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|X0=zero_zero_int)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f112])).
% 0.12/0.39 fof(f173,plain,(
% 0.12/0.39 ~ord_less_int(pls,pls)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.39 fof(f297,plain,(
% 0.12/0.39 pls=zero_zero_int),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f79])).
% 0.12/0.39 fof(f300,plain,(
% 0.12/0.39 ![X0]: (plus_plus_int(pls,X0)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f82])).
% 0.12/0.39 fof(f340,plain,(
% 0.12/0.39 power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f108])).
% 0.12/0.39 fof(f352,plain,(
% 0.12/0.39 power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls))))=pls),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f297,f340])).
% 0.12/0.39 fof(f354,plain,(
% 0.12/0.39 ord_less_int(pls,plus_plus_int(one_one_int,semiri1621563631at_int(n)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f297,f109])).
% 0.12/0.39 fof(f359,plain,(
% 0.12/0.39 ![X0,X1]: (~plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))=pls|X0=zero_zero_int)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f297,f113])).
% 0.12/0.39 fof(f360,plain,(
% 0.12/0.39 ![X0,X1]: (~plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))=pls|X0=pls)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f297,f359])).
% 0.12/0.39 fof(f361,plain,(
% 0.12/0.39 ![X0]: (~plus_plus_int(pls,power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))))=pls|plus_plus_int(one_one_int,semiri1621563631at_int(n))=pls)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f352,f360])).
% 0.12/0.39 fof(f363,definition,(
% 0.12/0.39 ![X0]: (sQ0_spl <=> (~plus_plus_int(pls,power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))))=pls))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f364,plain,(
% 0.12/0.39 ![X0]: (~plus_plus_int(pls,power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))))=pls|~sQ0_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f363])).
% 0.12/0.39 fof(f366,definition,(
% 0.12/0.39 sQ1_spl <=> (plus_plus_int(one_one_int,semiri1621563631at_int(n))=pls)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f367,plain,(
% 0.12/0.39 plus_plus_int(one_one_int,semiri1621563631at_int(n))=pls|~sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f366])).
% 0.12/0.39 fof(f369,plain,(
% 0.12/0.39 sQ0_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f361,f363,f366])).
% 0.12/0.39 fof(f415,plain,(
% 0.12/0.39 ord_less_int(pls,pls)|~sQ1_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f367,f354])).
% 0.12/0.39 fof(f417,plain,(
% 0.12/0.39 $false|~sQ1_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f415,f173])).
% 0.12/0.39 fof(f418,plain,(
% 0.12/0.39 ~sQ1_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f417])).
% 0.12/0.39 fof(f419,plain,(
% 0.12/0.39 ![X0]: (~power_power_int(X0,number_number_of_nat(bit0(bit1(pls))))=pls|~sQ0_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f300,f364])).
% 0.12/0.39 fof(f423,plain,(
% 0.12/0.39 $false|~sQ0_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f352,f419])).
% 0.12/0.39 fof(f424,plain,(
% 0.12/0.39 ~sQ0_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f423])).
% 0.12/0.39 fof(f425,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f369,f418,f424])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.063270 seconds
% 0.12/0.42 % CPU time: 0.167189 seconds
% 0.12/0.42 % Total memory used: 107.157 MB
% 0.12/0.42 % Net memory used: 107.009 MB
%------------------------------------------------------------------------------