TSTP Solution File: NUM924+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM924+4 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:30:59 EDT 2023
% Result : Theorem 0.69s 1.01s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM924+4 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:53:53 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.57/0.78 % Drodi V3.5.1
% 0.69/1.01 % Refutation found
% 0.69/1.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.69/1.01 % SZS output start CNFRefutation for theBenchmark
% 0.69/1.01 fof(f6,hypothesis,(
% 0.69/1.01 is_int(one_one_int) ),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f7,hypothesis,(
% 0.69/1.01 is_int(zero_zero_int) ),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f34,hypothesis,(
% 0.69/1.01 (! [B_1_1,B_2_1] :( is_int(B_2_1)=> is_int(hAPP_int_int(B_1_1,B_2_1)) ) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f62,axiom,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))) ),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f63,axiom,(
% 0.69/1.01 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) ),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f124,axiom,(
% 0.69/1.01 (! [X,Y,Z_1] : hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_1)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),Y)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),Z_1)) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f154,axiom,(
% 0.69/1.01 (! [X_47,Y_35] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_47),X_47)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_35),Y_35)))) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f176,axiom,(
% 0.69/1.01 hAPP_int_nat(number_number_of_nat,pls) = zero_zero_nat ),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f191,axiom,(
% 0.69/1.01 (! [Z1,Z2,W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),W)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),W)) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f192,axiom,(
% 0.69/1.01 (! [W,Z1,Z2] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z2)) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f259,axiom,(
% 0.69/1.01 (! [Z_1,W] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f315,axiom,(
% 0.69/1.01 hAPP_int_int(bit0,pls) = pls ),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f316,axiom,(
% 0.69/1.01 pls = zero_zero_int ),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f323,axiom,(
% 0.69/1.01 (! [K_2] :( is_int(K_2)=> hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),pls) = K_2 ) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f324,axiom,(
% 0.69/1.01 (! [K_2] :( is_int(K_2)=> hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_2) = K_2 ) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f326,axiom,(
% 0.69/1.01 (! [K_2] : hAPP_int_int(bit0,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f416,axiom,(
% 0.69/1.01 (! [K_2] : hAPP_int_int(bit1,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f671,axiom,(
% 0.69/1.01 (! [B,A] :( ( is_int(B)& is_int(A) )=> ( B = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A)<=> A = zero_zero_int ) ) )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f780,axiom,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)) ),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f1029,axiom,(
% 0.69/1.01 (! [N_62] : hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,one_one_int),N_62) = one_one_int )),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f5480,conjecture,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)) ),
% 0.69/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.69/1.01 fof(f5481,negated_conjecture,(
% 0.69/1.01 ~(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)) )),
% 0.69/1.01 inference(negated_conjecture,[status(cth)],[f5480])).
% 0.69/1.01 fof(f5487,plain,(
% 0.69/1.01 is_int(one_one_int)),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f6])).
% 0.69/1.01 fof(f5488,plain,(
% 0.69/1.01 is_int(zero_zero_int)),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f7])).
% 0.69/1.01 fof(f5520,plain,(
% 0.69/1.01 ![B_1_1,B_2_1]: (~is_int(B_2_1)|is_int(hAPP_int_int(B_1_1,B_2_1)))),
% 0.69/1.01 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.69/1.01 fof(f5521,plain,(
% 0.69/1.01 ![B_2_1]: (~is_int(B_2_1)|(![B_1_1]: is_int(hAPP_int_int(B_1_1,B_2_1))))),
% 0.69/1.01 inference(miniscoping,[status(esa)],[f5520])).
% 0.69/1.01 fof(f5522,plain,(
% 0.69/1.01 ![X0,X1]: (~is_int(X0)|is_int(hAPP_int_int(X1,X0)))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f5521])).
% 0.69/1.01 fof(f5550,plain,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f62])).
% 0.69/1.01 fof(f5551,plain,(
% 0.69/1.01 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f63])).
% 0.69/1.01 fof(f5677,plain,(
% 0.69/1.01 ![X0,X1,X2]: (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),X1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),X2)))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f124])).
% 0.69/1.01 fof(f5753,plain,(
% 0.69/1.01 ![X0,X1]: (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X0)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1)))))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f154])).
% 0.69/1.01 fof(f5831,plain,(
% 0.69/1.01 hAPP_int_nat(number_number_of_nat,pls)=zero_zero_nat),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f176])).
% 0.69/1.01 fof(f5869,plain,(
% 0.69/1.01 ![X0,X1,X2]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),X1)),X2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X2)))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f191])).
% 0.69/1.01 fof(f5870,plain,(
% 0.69/1.01 ![X0,X1,X2]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),X2))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X2)))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f192])).
% 0.69/1.01 fof(f6060,plain,(
% 0.69/1.01 ![X0,X1]: (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),X1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),X0))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f259])).
% 0.69/1.01 fof(f6181,plain,(
% 0.69/1.01 hAPP_int_int(bit0,pls)=pls),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f315])).
% 0.69/1.01 fof(f6182,plain,(
% 0.69/1.01 pls=zero_zero_int),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f316])).
% 0.69/1.01 fof(f6201,plain,(
% 0.69/1.01 ![K_2]: (~is_int(K_2)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),pls)=K_2)),
% 0.69/1.01 inference(pre_NNF_transformation,[status(esa)],[f323])).
% 0.69/1.01 fof(f6202,plain,(
% 0.69/1.01 ![X0]: (~is_int(X0)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),pls)=X0)),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f6201])).
% 0.69/1.01 fof(f6203,plain,(
% 0.69/1.01 ![K_2]: (~is_int(K_2)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_2)=K_2)),
% 0.69/1.01 inference(pre_NNF_transformation,[status(esa)],[f324])).
% 0.69/1.01 fof(f6204,plain,(
% 0.69/1.01 ![X0]: (~is_int(X0)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),X0)=X0)),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f6203])).
% 0.69/1.01 fof(f6206,plain,(
% 0.69/1.01 ![X0]: (hAPP_int_int(bit0,X0)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),X0))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f326])).
% 0.69/1.01 fof(f6341,plain,(
% 0.69/1.01 ![X0]: (hAPP_int_int(bit1,X0)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),X0)),X0))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f416])).
% 0.69/1.01 fof(f6706,plain,(
% 0.69/1.01 ![B,A]: ((~is_int(B)|~is_int(A))|(B=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A)<=>A=zero_zero_int))),
% 0.69/1.01 inference(pre_NNF_transformation,[status(esa)],[f671])).
% 0.69/1.01 fof(f6707,plain,(
% 0.69/1.01 ![B,A]: ((~is_int(B)|~is_int(A))|((~B=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A)|A=zero_zero_int)&(B=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A)|~A=zero_zero_int)))),
% 0.69/1.01 inference(NNF_transformation,[status(esa)],[f6706])).
% 0.69/1.01 fof(f6708,plain,(
% 0.69/1.01 ![X0,X1]: (~is_int(X0)|~is_int(X1)|~X0=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),X1)|X1=zero_zero_int)),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f6707])).
% 0.69/1.01 fof(f6913,plain,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f780])).
% 0.69/1.01 fof(f7458,plain,(
% 0.69/1.01 ![X0]: (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,one_one_int),X0)=one_one_int)),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f1029])).
% 0.69/1.01 fof(f19074,plain,(
% 0.69/1.01 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int))),
% 0.69/1.01 inference(cnf_transformation,[status(esa)],[f5481])).
% 0.69/1.01 fof(f19912,plain,(
% 0.69/1.01 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),one_one_int)),zero_zero_int))),
% 0.69/1.01 inference(backward_demodulation,[status(thm)],[f6182,f19074])).
% 0.69/1.01 fof(f19915,plain,(
% 0.69/1.01 hAPP_int_nat(number_number_of_nat,zero_zero_int)=zero_zero_nat),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6182,f5831])).
% 0.69/1.01 fof(f19917,plain,(
% 0.69/1.01 hAPP_int_int(bit0,zero_zero_int)=pls),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6182,f6181])).
% 0.69/1.01 fof(f19918,plain,(
% 0.69/1.01 hAPP_int_int(bit0,zero_zero_int)=zero_zero_int),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6182,f19917])).
% 0.69/1.01 fof(f19933,plain,(
% 0.69/1.01 spl0_6 <=> is_int(one_one_int)),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f19935,plain,(
% 0.69/1.01 ~is_int(one_one_int)|spl0_6),
% 0.69/1.01 inference(component_clause,[status(thm)],[f19933])).
% 0.69/1.01 fof(f19949,plain,(
% 0.69/1.01 $false|spl0_6),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f19935,f5487])).
% 0.69/1.01 fof(f19950,plain,(
% 0.69/1.01 spl0_6),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f19949])).
% 0.69/1.01 fof(f19979,plain,(
% 0.69/1.01 ![X0]: (~is_int(X0)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),zero_zero_int)=X0)),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6182,f6202])).
% 0.69/1.01 fof(f19980,plain,(
% 0.69/1.01 ![X0]: (~is_int(X0)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),X0)=X0)),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6182,f6204])).
% 0.69/1.01 fof(f19982,plain,(
% 0.69/1.01 spl0_13 <=> is_int(zero_zero_int)),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f19984,plain,(
% 0.69/1.01 ~is_int(zero_zero_int)|spl0_13),
% 0.69/1.01 inference(component_clause,[status(thm)],[f19982])).
% 0.69/1.01 fof(f19997,plain,(
% 0.69/1.01 $false|spl0_13),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f19984,f5488])).
% 0.69/1.01 fof(f19998,plain,(
% 0.69/1.01 spl0_13),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f19997])).
% 0.69/1.01 fof(f20163,plain,(
% 0.69/1.01 spl0_41 <=> hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),zero_zero_int)=zero_zero_int),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f20165,plain,(
% 0.69/1.01 ~hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),zero_zero_int)=zero_zero_int|spl0_41),
% 0.69/1.01 inference(component_clause,[status(thm)],[f20163])).
% 0.69/1.01 fof(f20170,plain,(
% 0.69/1.01 ~hAPP_int_int(bit0,zero_zero_int)=zero_zero_int|spl0_41),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6206,f20165])).
% 0.69/1.01 fof(f20171,plain,(
% 0.69/1.01 ~zero_zero_int=zero_zero_int|spl0_41),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f20170])).
% 0.69/1.01 fof(f20172,plain,(
% 0.69/1.01 $false|spl0_41),
% 0.69/1.01 inference(trivial_equality_resolution,[status(esa)],[f20171])).
% 0.69/1.01 fof(f20173,plain,(
% 0.69/1.01 spl0_41),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f20172])).
% 0.69/1.01 fof(f20323,plain,(
% 0.69/1.01 ![X0]: (~is_int(X0)|~is_int(X0)|~X0=hAPP_int_int(bit0,X0)|X0=zero_zero_int)),
% 0.69/1.01 inference(paramodulation,[status(thm)],[f6206,f6708])).
% 0.69/1.01 fof(f20324,plain,(
% 0.69/1.01 ![X0]: (~is_int(X0)|~X0=hAPP_int_int(bit0,X0)|X0=zero_zero_int)),
% 0.69/1.01 inference(duplicate_literals_removal,[status(esa)],[f20323])).
% 0.69/1.01 fof(f20348,plain,(
% 0.69/1.01 ![X0,X1]: (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,one_one_int),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X0),X1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,one_one_int),X1)))),
% 0.69/1.01 inference(paramodulation,[status(thm)],[f7458,f5677])).
% 0.69/1.01 fof(f20349,plain,(
% 0.69/1.01 ![X0]: (one_one_int=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,one_one_int),X0)))),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f7458,f20348])).
% 0.69/1.01 fof(f20350,plain,(
% 0.69/1.01 one_one_int=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),one_one_int)),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f7458,f20349])).
% 0.69/1.01 fof(f20367,plain,(
% 0.69/1.01 ![X0]: (hAPP_int_int(bit1,X0)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),X0)))),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6060,f6341])).
% 0.69/1.01 fof(f20377,plain,(
% 0.69/1.01 spl0_49 <=> is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),zero_zero_int))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f20379,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),zero_zero_int))|spl0_49),
% 0.69/1.01 inference(component_clause,[status(thm)],[f20377])).
% 0.69/1.01 fof(f20380,plain,(
% 0.69/1.01 spl0_50 <=> hAPP_int_int(bit1,zero_zero_int)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),zero_zero_int)),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f20381,plain,(
% 0.69/1.01 hAPP_int_int(bit1,zero_zero_int)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),zero_zero_int)|~spl0_50),
% 0.69/1.01 inference(component_clause,[status(thm)],[f20380])).
% 0.69/1.01 fof(f20383,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),zero_zero_int))|hAPP_int_int(bit1,zero_zero_int)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),zero_zero_int)),
% 0.69/1.01 inference(paramodulation,[status(thm)],[f20367,f19980])).
% 0.69/1.01 fof(f20384,plain,(
% 0.69/1.01 ~spl0_49|spl0_50),
% 0.69/1.01 inference(split_clause,[status(thm)],[f20383,f20377,f20380])).
% 0.69/1.01 fof(f20515,plain,(
% 0.69/1.01 spl0_65 <=> hAPP_int_nat(number_number_of_nat,zero_zero_int)=zero_zero_nat),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f20517,plain,(
% 0.69/1.01 ~hAPP_int_nat(number_number_of_nat,zero_zero_int)=zero_zero_nat|spl0_65),
% 0.69/1.01 inference(component_clause,[status(thm)],[f20515])).
% 0.69/1.01 fof(f20523,plain,(
% 0.69/1.01 ~zero_zero_nat=zero_zero_nat|spl0_65),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19915,f20517])).
% 0.69/1.01 fof(f20524,plain,(
% 0.69/1.01 $false|spl0_65),
% 0.69/1.01 inference(trivial_equality_resolution,[status(esa)],[f20523])).
% 0.69/1.01 fof(f20525,plain,(
% 0.69/1.01 spl0_65),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f20524])).
% 0.69/1.01 fof(f20585,plain,(
% 0.69/1.01 spl0_72 <=> is_int(hAPP_int_int(bit0,zero_zero_int))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f20587,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,zero_zero_int))|spl0_72),
% 0.69/1.01 inference(component_clause,[status(thm)],[f20585])).
% 0.69/1.01 fof(f20655,plain,(
% 0.69/1.01 ![X0]: (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X0)))))),
% 0.69/1.01 inference(paramodulation,[status(thm)],[f6206,f5753])).
% 0.69/1.01 fof(f20721,plain,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(bit0,one_one_int)))),
% 0.69/1.01 inference(paramodulation,[status(thm)],[f20350,f20655])).
% 0.69/1.01 fof(f20801,plain,(
% 0.69/1.01 ![X0,X1]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),X0)),X1)=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X1)))),
% 0.69/1.01 inference(paramodulation,[status(thm)],[f6206,f5869])).
% 0.69/1.01 fof(f20802,plain,(
% 0.69/1.01 ![X0,X1]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,X0)),X1)=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X1)))),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6206,f20801])).
% 0.69/1.01 fof(f20839,plain,(
% 0.69/1.01 ![X0,X1]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),X1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),X0)),X1))),
% 0.69/1.01 inference(paramodulation,[status(thm)],[f5869,f5870])).
% 0.69/1.01 fof(f20840,plain,(
% 0.69/1.01 ![X0,X1]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),hAPP_int_int(bit0,X1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X0),X0)),X1))),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6206,f20839])).
% 0.69/1.01 fof(f20841,plain,(
% 0.69/1.01 ![X0,X1]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),hAPP_int_int(bit0,X1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,X0)),X1))),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6206,f20840])).
% 0.69/1.01 fof(f20972,plain,(
% 0.69/1.01 ![X0,X1]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),hAPP_int_int(bit0,X1))=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),X1)))),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f20802,f20841])).
% 0.69/1.01 fof(f20979,plain,(
% 0.69/1.01 ![X0]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),zero_zero_int)=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),zero_zero_int)))),
% 0.69/1.01 inference(paramodulation,[status(thm)],[f19918,f20972])).
% 0.69/1.01 fof(f21018,plain,(
% 0.69/1.01 ![X0]: (~is_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),zero_zero_int))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),zero_zero_int)=zero_zero_int)),
% 0.69/1.01 inference(resolution,[status(thm)],[f20979,f20324])).
% 0.69/1.01 fof(f21077,plain,(
% 0.69/1.01 ~is_int(zero_zero_int)|spl0_72),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f20587])).
% 0.69/1.01 fof(f21078,plain,(
% 0.69/1.01 $false|spl0_72),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f21077,f5488])).
% 0.69/1.01 fof(f21079,plain,(
% 0.69/1.01 spl0_72),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f21078])).
% 0.69/1.01 fof(f21082,plain,(
% 0.69/1.01 spl0_105 <=> is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f21084,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))|spl0_105),
% 0.69/1.01 inference(component_clause,[status(thm)],[f21082])).
% 0.69/1.01 fof(f21107,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,zero_zero_int))|spl0_105),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21084])).
% 0.69/1.01 fof(f21108,plain,(
% 0.69/1.01 ~is_int(zero_zero_int)|spl0_105),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21107])).
% 0.69/1.01 fof(f21109,plain,(
% 0.69/1.01 $false|spl0_105),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f21108,f5488])).
% 0.69/1.01 fof(f21110,plain,(
% 0.69/1.01 spl0_105),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f21109])).
% 0.69/1.01 fof(f21129,plain,(
% 0.69/1.01 spl0_112 <=> is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f21131,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))|spl0_112),
% 0.69/1.01 inference(component_clause,[status(thm)],[f21129])).
% 0.69/1.01 fof(f21154,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))|spl0_112),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21131])).
% 0.69/1.01 fof(f21155,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,zero_zero_int))|spl0_112),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21154])).
% 0.69/1.01 fof(f21156,plain,(
% 0.69/1.01 ~is_int(zero_zero_int)|spl0_112),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21155])).
% 0.69/1.01 fof(f21157,plain,(
% 0.69/1.01 $false|spl0_112),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f21156,f5488])).
% 0.69/1.01 fof(f21158,plain,(
% 0.69/1.01 spl0_112),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f21157])).
% 0.69/1.01 fof(f21182,plain,(
% 0.69/1.01 spl0_119 <=> is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f21184,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))))|spl0_119),
% 0.69/1.01 inference(component_clause,[status(thm)],[f21182])).
% 0.69/1.01 fof(f21207,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))|spl0_119),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21184])).
% 0.69/1.01 fof(f21208,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))|spl0_119),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21207])).
% 0.69/1.01 fof(f21209,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,zero_zero_int))|spl0_119),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21208])).
% 0.69/1.01 fof(f21210,plain,(
% 0.69/1.01 ~is_int(zero_zero_int)|spl0_119),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21209])).
% 0.69/1.01 fof(f21211,plain,(
% 0.69/1.01 $false|spl0_119),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f21210,f5488])).
% 0.69/1.01 fof(f21212,plain,(
% 0.69/1.01 spl0_119),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f21211])).
% 0.69/1.01 fof(f21241,plain,(
% 0.69/1.01 spl0_126 <=> is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f21243,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))))|spl0_126),
% 0.69/1.01 inference(component_clause,[status(thm)],[f21241])).
% 0.69/1.01 fof(f21266,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))))|spl0_126),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21243])).
% 0.69/1.01 fof(f21267,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))|spl0_126),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21266])).
% 0.69/1.01 fof(f21268,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))|spl0_126),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21267])).
% 0.69/1.01 fof(f21269,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,zero_zero_int))|spl0_126),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21268])).
% 0.69/1.01 fof(f21270,plain,(
% 0.69/1.01 ~is_int(zero_zero_int)|spl0_126),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21269])).
% 0.69/1.01 fof(f21271,plain,(
% 0.69/1.01 $false|spl0_126),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f21270,f5488])).
% 0.69/1.01 fof(f21272,plain,(
% 0.69/1.01 spl0_126),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f21271])).
% 0.69/1.01 fof(f21306,plain,(
% 0.69/1.01 spl0_133 <=> is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))))))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f21308,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))))))|spl0_133),
% 0.69/1.01 inference(component_clause,[status(thm)],[f21306])).
% 0.69/1.01 fof(f21331,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))))|spl0_133),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21308])).
% 0.69/1.01 fof(f21332,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))))|spl0_133),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21331])).
% 0.69/1.01 fof(f21333,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))|spl0_133),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21332])).
% 0.69/1.01 fof(f21334,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))|spl0_133),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21333])).
% 0.69/1.01 fof(f21335,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,zero_zero_int))|spl0_133),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21334])).
% 0.69/1.01 fof(f21336,plain,(
% 0.69/1.01 ~is_int(zero_zero_int)|spl0_133),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21335])).
% 0.69/1.01 fof(f21337,plain,(
% 0.69/1.01 $false|spl0_133),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f21336,f5488])).
% 0.69/1.01 fof(f21338,plain,(
% 0.69/1.01 spl0_133),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f21337])).
% 0.69/1.01 fof(f21377,plain,(
% 0.69/1.01 spl0_140 <=> is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))))))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f21379,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))))))|spl0_140),
% 0.69/1.01 inference(component_clause,[status(thm)],[f21377])).
% 0.69/1.01 fof(f21402,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))))))|spl0_140),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21379])).
% 0.69/1.01 fof(f21403,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))))|spl0_140),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21402])).
% 0.69/1.01 fof(f21404,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))))|spl0_140),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21403])).
% 0.69/1.01 fof(f21405,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int))))|spl0_140),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21404])).
% 0.69/1.01 fof(f21406,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,hAPP_int_int(bit0,zero_zero_int)))|spl0_140),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21405])).
% 0.69/1.01 fof(f21407,plain,(
% 0.69/1.01 ~is_int(hAPP_int_int(bit0,zero_zero_int))|spl0_140),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21406])).
% 0.69/1.01 fof(f21408,plain,(
% 0.69/1.01 ~is_int(zero_zero_int)|spl0_140),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f19918,f21407])).
% 0.69/1.01 fof(f21409,plain,(
% 0.69/1.01 $false|spl0_140),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f21408,f5488])).
% 0.69/1.01 fof(f21410,plain,(
% 0.69/1.01 spl0_140),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f21409])).
% 0.69/1.01 fof(f21498,plain,(
% 0.69/1.01 spl0_146 <=> hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),zero_zero_int)=zero_zero_int),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f21499,plain,(
% 0.69/1.01 ![X0]: (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),zero_zero_int)=zero_zero_int|~spl0_146)),
% 0.69/1.01 inference(component_clause,[status(thm)],[f21498])).
% 0.69/1.01 fof(f21501,plain,(
% 0.69/1.01 ![X0]: (~is_int(zero_zero_int)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X0),zero_zero_int)=zero_zero_int)),
% 0.69/1.01 inference(resolution,[status(thm)],[f5522,f21018])).
% 0.69/1.01 fof(f21502,plain,(
% 0.69/1.01 ~spl0_13|spl0_146),
% 0.69/1.01 inference(split_clause,[status(thm)],[f21501,f19982,f21498])).
% 0.69/1.01 fof(f21503,plain,(
% 0.69/1.01 ~is_int(zero_zero_int)|spl0_49),
% 0.69/1.01 inference(resolution,[status(thm)],[f5522,f20379])).
% 0.69/1.01 fof(f21504,plain,(
% 0.69/1.01 ~spl0_13|spl0_49),
% 0.69/1.01 inference(split_clause,[status(thm)],[f21503,f19982,f20377])).
% 0.69/1.01 fof(f21705,plain,(
% 0.69/1.01 spl0_160 <=> hAPP_int_int(bit1,zero_zero_int)=one_one_int),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f21706,plain,(
% 0.69/1.01 hAPP_int_int(bit1,zero_zero_int)=one_one_int|~spl0_160),
% 0.69/1.01 inference(component_clause,[status(thm)],[f21705])).
% 0.69/1.01 fof(f21708,plain,(
% 0.69/1.01 ~is_int(one_one_int)|hAPP_int_int(bit1,zero_zero_int)=one_one_int|~spl0_50),
% 0.69/1.01 inference(paramodulation,[status(thm)],[f20381,f19979])).
% 0.69/1.01 fof(f21709,plain,(
% 0.69/1.01 ~spl0_6|spl0_160|~spl0_50),
% 0.69/1.01 inference(split_clause,[status(thm)],[f21708,f19933,f21705,f20380])).
% 0.69/1.01 fof(f21767,plain,(
% 0.69/1.01 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,one_one_int)))),one_one_int)),zero_zero_int))|~spl0_160),
% 0.69/1.01 inference(backward_demodulation,[status(thm)],[f21706,f19912])).
% 0.69/1.01 fof(f21768,plain,(
% 0.69/1.01 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,one_one_int))))),zero_zero_int))|~spl0_160),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6060,f21767])).
% 0.69/1.01 fof(f22053,plain,(
% 0.69/1.01 spl0_180 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f22055,plain,(
% 0.69/1.01 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int))|spl0_180),
% 0.69/1.01 inference(component_clause,[status(thm)],[f22053])).
% 0.69/1.01 fof(f22068,plain,(
% 0.69/1.01 spl0_183 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)))),
% 0.69/1.01 introduced(split_symbol_definition)).
% 0.69/1.01 fof(f22070,plain,(
% 0.69/1.01 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)))|spl0_183),
% 0.69/1.01 inference(component_clause,[status(thm)],[f22068])).
% 0.69/1.01 fof(f22082,plain,(
% 0.69/1.01 $false|spl0_180),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f22055,f6913])).
% 0.69/1.01 fof(f22083,plain,(
% 0.69/1.01 spl0_180),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f22082])).
% 0.69/1.01 fof(f22084,plain,(
% 0.69/1.01 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(bit0,one_one_int)))|spl0_183),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6206,f22070])).
% 0.69/1.01 fof(f22085,plain,(
% 0.69/1.01 $false|spl0_183),
% 0.69/1.01 inference(forward_subsumption_resolution,[status(thm)],[f22084,f20721])).
% 0.69/1.01 fof(f22086,plain,(
% 0.69/1.01 spl0_183),
% 0.69/1.01 inference(contradiction_clause,[status(thm)],[f22085])).
% 0.69/1.01 fof(f22089,plain,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m))),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6060,f5550])).
% 0.69/1.01 fof(f22090,plain,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m))),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6182,f22089])).
% 0.69/1.01 fof(f22091,plain,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),m))),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))|~spl0_160),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f21706,f22090])).
% 0.69/1.01 fof(f22092,plain,(
% 0.69/1.01 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),m))),t)),zero_zero_int))|~spl0_146|~spl0_160),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f21499,f22091])).
% 0.69/1.01 fof(f22093,plain,(
% 0.69/1.01 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6060,f5551])).
% 0.69/1.01 fof(f22094,plain,(
% 0.69/1.01 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f6182,f22093])).
% 0.69/1.01 fof(f22095,plain,(
% 0.69/1.01 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,one_one_int))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)|~spl0_160),
% 0.69/1.01 inference(forward_demodulation,[status(thm)],[f21706,f22094])).
% 0.69/1.01 fof(f22096,plain,(
% 0.69/1.01 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,one_one_int))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m))),t)|~spl0_160),
% 1.79/1.15 inference(forward_demodulation,[status(thm)],[f6060,f22095])).
% 1.79/1.15 fof(f22097,plain,(
% 1.79/1.15 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,one_one_int))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m))),t)|~spl0_160),
% 1.79/1.15 inference(forward_demodulation,[status(thm)],[f6182,f22096])).
% 1.79/1.15 fof(f22098,plain,(
% 1.79/1.15 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,one_one_int))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),m))),t)|~spl0_160),
% 1.79/1.15 inference(forward_demodulation,[status(thm)],[f21706,f22097])).
% 1.79/1.15 fof(f22099,plain,(
% 1.79/1.15 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,one_one_int))))),zero_zero_int))|~spl0_146|~spl0_160),
% 1.79/1.15 inference(backward_demodulation,[status(thm)],[f22098,f22092])).
% 1.79/1.15 fof(f22100,plain,(
% 1.79/1.15 $false|~spl0_146|~spl0_160),
% 1.79/1.15 inference(forward_subsumption_resolution,[status(thm)],[f22099,f21768])).
% 1.79/1.15 fof(f22101,plain,(
% 1.79/1.15 ~spl0_146|~spl0_160),
% 1.79/1.15 inference(contradiction_clause,[status(thm)],[f22100])).
% 1.79/1.15 fof(f22102,plain,(
% 1.79/1.15 $false),
% 1.79/1.15 inference(sat_refutation,[status(thm)],[f19950,f19998,f20173,f20384,f20525,f21079,f21110,f21158,f21212,f21272,f21338,f21410,f21502,f21504,f21709,f22083,f22086,f22101])).
% 1.79/1.15 % SZS output end CNFRefutation for theBenchmark.p
% 1.79/1.15 % Elapsed time: 0.793455 seconds
% 1.79/1.15 % CPU time: 1.736343 seconds
% 1.79/1.15 % Memory used: 545.876 MB
%------------------------------------------------------------------------------