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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : NUM925+4 : 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 : n003.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 01:44:06 PM UTC 2026

% Result   : Theorem 0.66s 1.10s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM925+4 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Computer : n003.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8046.5625MB
% 0.13/0.36  % OS       : Linux 6.8.0-71-generic
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Mon Sep 21 03:19:00 UTC 2026
% 0.13/0.37  % CPUTime  : 
% 0.57/0.86  % Drodi V4.1.1
% 0.66/1.10  % Refutation found
% 0.66/1.10  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.66/1.10  % SZS output start CNFRefutation for theBenchmark
% 0.66/1.10  fof(f7,hypothesis,(
% 0.66/1.10    is_int(zero_zero_int) ),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f34,hypothesis,(
% 0.66/1.10    (! [B_1_1,B_2_1] :( is_int(B_2_1)=> is_int(hAPP_int_int(B_1_1,B_2_1)) ) )),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f36,hypothesis,(
% 0.66/1.10    (! [B_1_1,B_2_1] : is_int(hAPP_nat_int(B_1_1,B_2_1)) )),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f67,axiom,(
% 0.66/1.10    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))) ),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f71,axiom,(
% 0.66/1.10    (! [Xa,Ya] :( ( is_int(Xa)& is_int(Ya) )=> ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Xa),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = zero_zero_int<=> ( Xa = zero_zero_int& Ya = zero_zero_int ) ) ) )),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f85,axiom,(
% 0.66/1.10    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = zero_zero_int ),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f197,axiom,(
% 0.66/1.10    (! [A_1] :( is_int(A_1)=> ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),A_1) = zero_zero_int<=> A_1 = zero_zero_int ) ) )),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f218,axiom,(
% 0.66/1.10    pls = zero_zero_int ),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f277,axiom,(
% 0.66/1.10    (! [A_1] :( is_int(A_1)=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))<=> A_1 != zero_zero_int ) ) )),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f5487,conjecture,(
% 0.66/1.10    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != zero_zero_int ),
% 0.66/1.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/1.10  fof(f5488,negated_conjecture,(
% 0.66/1.10    ~(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != zero_zero_int )),
% 0.66/1.10    inference(negated_conjecture,[status(cth)],[f5487])).
% 0.66/1.10  fof(f5495,plain,(
% 0.66/1.10    is_int(zero_zero_int)),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f7])).
% 0.66/1.10  fof(f5527,plain,(
% 0.66/1.10    ![B_1_1,B_2_1]: (~is_int(B_2_1)|is_int(hAPP_int_int(B_1_1,B_2_1)))),
% 0.66/1.10    inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.66/1.10  fof(f5528,plain,(
% 0.66/1.10    ![B_2_1]: (~is_int(B_2_1)|(![B_1_1]: is_int(hAPP_int_int(B_1_1,B_2_1))))),
% 0.66/1.10    inference(miniscoping,[status(thm)],[f5527])).
% 0.66/1.10  fof(f5529,plain,(
% 0.66/1.10    ![X0,X1]: (~is_int(X0)|is_int(hAPP_int_int(X1,X0)))),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f5528])).
% 0.66/1.10  fof(f5531,plain,(
% 0.66/1.10    ![X0,X1]: (is_int(hAPP_nat_int(X0,X1)))),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f36])).
% 0.66/1.10  fof(f5562,plain,(
% 0.66/1.10    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))))),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f67])).
% 0.66/1.10  fof(f5574,plain,(
% 0.66/1.10    ![Xa,Ya]: ((~is_int(Xa)|~is_int(Ya))|(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Xa),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_int<=>(Xa=zero_zero_int&Ya=zero_zero_int)))),
% 0.66/1.10    inference(pre_NNF_transformation,[status(thm)],[f71])).
% 0.66/1.10  fof(f5575,plain,(
% 0.66/1.10    ![Xa,Ya]: ((~is_int(Xa)|~is_int(Ya))|((~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Xa),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_int|(Xa=zero_zero_int&Ya=zero_zero_int))&(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Xa),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_int|(~Xa=zero_zero_int|~Ya=zero_zero_int))))),
% 0.66/1.10    inference(NNF_transformation,[status(thm)],[f5574])).
% 0.66/1.10  fof(f5576,plain,(
% 0.66/1.10    ![X0,X1]: (~is_int(X0)|~is_int(X1)|~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_int|X0=zero_zero_int)),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f5575])).
% 0.66/1.10  fof(f5592,plain,(
% 0.66/1.10    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f85])).
% 0.66/1.10  fof(f5893,plain,(
% 0.66/1.10    ![A_1]: (~is_int(A_1)|(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),A_1)=zero_zero_int<=>A_1=zero_zero_int))),
% 0.66/1.10    inference(pre_NNF_transformation,[status(thm)],[f197])).
% 0.66/1.10  fof(f5894,plain,(
% 0.66/1.10    ![A_1]: (~is_int(A_1)|((~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),A_1)=zero_zero_int|A_1=zero_zero_int)&(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),A_1)=zero_zero_int|~A_1=zero_zero_int)))),
% 0.66/1.10    inference(NNF_transformation,[status(thm)],[f5893])).
% 0.66/1.10  fof(f5896,plain,(
% 0.66/1.10    ![X0]: (~is_int(X0)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),X0)=zero_zero_int|~X0=zero_zero_int)),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f5894])).
% 0.66/1.10  fof(f5944,plain,(
% 0.66/1.10    pls=zero_zero_int),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f218])).
% 0.66/1.10  fof(f6044,plain,(
% 0.66/1.10    ![A_1]: (~is_int(A_1)|(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))<=>~A_1=zero_zero_int))),
% 0.66/1.10    inference(pre_NNF_transformation,[status(thm)],[f277])).
% 0.66/1.10  fof(f6045,plain,(
% 0.66/1.10    ![A_1]: (~is_int(A_1)|((~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))|~A_1=zero_zero_int)&(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))|A_1=zero_zero_int)))),
% 0.66/1.10    inference(NNF_transformation,[status(thm)],[f6044])).
% 0.66/1.10  fof(f6046,plain,(
% 0.66/1.10    ![X0]: (~is_int(X0)|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))|~X0=zero_zero_int)),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f6045])).
% 0.66/1.10  fof(f19302,plain,(
% 0.66/1.10    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int),
% 0.66/1.10    inference(cnf_transformation,[status(thm)],[f5488])).
% 0.66/1.10  fof(f19731,plain,(
% 0.66/1.10    ~is_int(zero_zero_int)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),zero_zero_int)=zero_zero_int),
% 0.66/1.10    inference(destructive_equality_resolution,[status(thm)],[f5896])).
% 0.66/1.10  fof(f19743,plain,(
% 0.66/1.10    ~is_int(zero_zero_int)|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),
% 0.66/1.10    inference(destructive_equality_resolution,[status(thm)],[f6046])).
% 0.66/1.10  fof(f20341,plain,(
% 0.66/1.10    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))=zero_zero_int),
% 0.66/1.10    inference(backward_demodulation,[status(thm)],[f5944,f19302])).
% 0.66/1.10  fof(f20342,plain,(
% 0.66/1.10    ![X0,X1]: (~is_int(X0)|~is_int(X1)|~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_int|X0=zero_zero_int)),
% 0.66/1.10    inference(forward_demodulation,[status(thm)],[f5944,f5576])).
% 0.66/1.10  fof(f20343,plain,(
% 0.66/1.10    ![X0,X1]: (~is_int(X0)|~is_int(X1)|~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))))=zero_zero_int|X0=zero_zero_int)),
% 0.66/1.10    inference(forward_demodulation,[status(thm)],[f5944,f20342])).
% 0.66/1.10  fof(f20362,plain,(
% 0.66/1.10    ![X0]: (~is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))|~is_int(X0)|~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))))=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int)),
% 0.66/1.10    inference(paramodulation,[status(thm)],[f20341,f20343])).
% 0.66/1.10  fof(f20370,plain,(
% 0.66/1.10    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))=zero_zero_int),
% 0.66/1.10    inference(forward_demodulation,[status(thm)],[f5944,f5592])).
% 0.66/1.10  fof(f20485,plain,(
% 0.66/1.10    ![X0]: (~is_int(hAPP_nat_int(semiri1621563631at_int,n))|~is_int(X0)|~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))))=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int)),
% 0.66/1.10    inference(resolution,[status(thm)],[f5529,f20362])).
% 0.66/1.10  fof(f20493,plain,(
% 0.66/1.10    ![X0]: (~is_int(X0)|~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))))=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int)),
% 0.66/1.10    inference(forward_subsumption_resolution,[status(thm)],[f20485,f5531])).
% 0.66/1.10  fof(f20523,plain,(
% 0.66/1.10    ~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))))=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int),
% 0.66/1.10    inference(resolution,[status(thm)],[f20493,f5495])).
% 0.66/1.10  fof(f20526,plain,(
% 0.66/1.10    ~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),zero_zero_int)=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int),
% 0.66/1.15    inference(forward_demodulation,[status(thm)],[f20370,f20523])).
% 0.66/1.15  fof(f20836,plain,(
% 0.66/1.15    ~zero_zero_int=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int),
% 0.66/1.15    inference(backward_demodulation,[status(thm)],[f20837,f20526])).
% 0.66/1.15  fof(f20837,plain,(
% 0.66/1.15    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),zero_zero_int)=zero_zero_int),
% 0.66/1.15    inference(forward_subsumption_resolution,[status(thm)],[f19731,f5495])).
% 0.66/1.15  fof(f20844,plain,(
% 0.66/1.15    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int),
% 0.66/1.15    inference(trivial_equality_resolution,[status(thm)],[f20836])).
% 0.66/1.15  fof(f21007,plain,(
% 0.66/1.15    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int))),
% 0.66/1.15    inference(backward_demodulation,[status(thm)],[f20844,f5562])).
% 0.66/1.15  fof(f21295,plain,(
% 0.66/1.15    ~is_int(zero_zero_int)|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))))),
% 0.66/1.15    inference(forward_demodulation,[status(thm)],[f5944,f19743])).
% 0.66/1.15  fof(f21296,plain,(
% 0.66/1.15    ~is_int(zero_zero_int)|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int))),
% 0.66/1.15    inference(forward_demodulation,[status(thm)],[f20370,f21295])).
% 0.66/1.15  fof(f21298,plain,(
% 0.66/1.15    ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int))),
% 0.66/1.15    inference(forward_subsumption_resolution,[status(thm)],[f21296,f5495])).
% 0.66/1.15  fof(f21299,plain,(
% 0.66/1.15    $false),
% 0.66/1.15    inference(backward_subsumption_resolution,[status(thm)],[f21007,f21298])).
% 0.66/1.15  % SZS output end CNFRefutation for theBenchmark.p
% 0.92/1.24  % Elapsed time: 0.849936 seconds
% 0.92/1.24  % CPU time: 2.436993 seconds
% 0.92/1.24  % Total memory used: 620.172 MB
% 0.92/1.24  % Net memory used: 614.932 MB
%------------------------------------------------------------------------------