TSTP Solution File: NUM926+8 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM926+8 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : Tue Apr 30 20:36:09 EDT 2024
% Result : Theorem 100.24s 13.84s
% Output : CNFRefutation 100.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM926+8 : TPTP v8.1.2. Released v5.3.0.
% 0.10/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n013.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Apr 29 20:36:34 EDT 2024
% 0.11/0.35 % CPUTime :
% 1.02/1.27 % Drodi V3.6.0
% 100.24/13.84 % Refutation found
% 100.24/13.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 100.24/13.84 % SZS output start CNFRefutation for theBenchmark
% 100.24/13.84 fof(f265,axiom,(
% 100.24/13.84 (! [X_a,X_c,B_1_1,B_2_1] : hAPP(X_a,X_c,B_1_1,ti(X_a,B_2_1)) = hAPP(X_a,X_c,B_1_1,B_2_1) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f272,axiom,(
% 100.24/13.84 ti(int,t) = t ),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f273,axiom,(
% 100.24/13.84 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)) ),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f274,axiom,(
% 100.24/13.84 ( t = one_one(int)=> (? [X,Y] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X),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),Y),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = 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)) )) ),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f275,axiom,(
% 100.24/13.84 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))=> (? [X,Y] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X),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),Y),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = 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)) )) ),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f295,axiom,(
% 100.24/13.84 (! [Z,W_1] :( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z),W_1))<=> ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z),W_1))& ti(int,Z) != ti(int,W_1) ) ) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f301,axiom,(
% 100.24/13.84 (! [X_1,Y_1,Z_1] : hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X_1),Y_1)),Z_1) = hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),Y_1),Z_1)) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f308,axiom,(
% 100.24/13.84 (! [Z_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),Z_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Z_1),Z_1) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f309,axiom,(
% 100.24/13.84 (! [Z_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),Z_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Z_1),Z_1) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f361,axiom,(
% 100.24/13.84 (! [Z_1,W] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z_1),W) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),W),Z_1) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f362,axiom,(
% 100.24/13.84 (! [K_4] : hAPP(int,int,number_number_of(int),K_4) = ti(int,K_4) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f363,axiom,(
% 100.24/13.84 (! [Z1,Z2,Z3] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z1),Z2)),Z3) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z2),Z3)) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f365,axiom,(
% 100.24/13.84 (! [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) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f396,axiom,(
% 100.24/13.84 hAPP(int,int,bit0,pls) = pls ),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f398,axiom,(
% 100.24/13.84 (! [K_4,L_4] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,K_4)),L_4) = hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),K_4),L_4)) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f399,axiom,(
% 100.24/13.84 (! [K_4] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),K_4),pls) = ti(int,K_4) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f400,axiom,(
% 100.24/13.84 (! [K_4] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),K_4) = ti(int,K_4) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f402,axiom,(
% 100.24/13.84 (! [K_4] : hAPP(int,int,bit0,K_4) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),K_4),K_4) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f404,axiom,(
% 100.24/13.84 (! [Z_1] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),Z_1) = ti(int,Z_1) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f406,axiom,(
% 100.24/13.84 (! [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)) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f407,axiom,(
% 100.24/13.84 (! [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)) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f408,axiom,(
% 100.24/13.84 (! [V_1,W] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,number_number_of(int),V_1)),hAPP(int,int,number_number_of(int),W)) = hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),V_1),W)) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f427,axiom,(
% 100.24/13.84 (! [K_4] : hAPP(int,int,bit1,K_4) = 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_4)),K_4) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f434,axiom,(
% 100.24/13.84 one_one(int) = hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)) ),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f479,axiom,(
% 100.24/13.84 pls = zero_zero(int) ),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f502,axiom,(
% 100.24/13.84 zero_zero(int) = hAPP(int,int,number_number_of(int),pls) ),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f503,axiom,(
% 100.24/13.84 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),one_one(int))) ),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f519,axiom,(
% 100.24/13.84 (! [N,Ma] :( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),Ma))=> ( hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Ma),N) = one_one(int)<=> ( ti(int,Ma) = one_one(int)& ti(int,N) = one_one(int) ) ) ) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f986,axiom,(
% 100.24/13.84 (! [N_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),N_1),one_one(nat)) = N_1 )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f5738,conjecture,(
% 100.24/13.84 (? [X,Y] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X),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),Y),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = 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)) )),
% 100.24/13.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.24/13.84 fof(f5739,negated_conjecture,(
% 100.24/13.84 ~((? [X,Y] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X),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),Y),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = 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)) ))),
% 100.24/13.84 inference(negated_conjecture,[status(cth)],[f5738])).
% 100.24/13.84 fof(f6080,plain,(
% 100.24/13.84 ![X0,X1,X2,X3]: (hAPP(X0,X1,X2,ti(X0,X3))=hAPP(X0,X1,X2,X3))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f265])).
% 100.24/13.84 fof(f6090,plain,(
% 100.24/13.84 ti(int,t)=t),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f272])).
% 100.24/13.84 fof(f6091,plain,(
% 100.24/13.84 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f273])).
% 100.24/13.84 fof(f6092,plain,(
% 100.24/13.84 ~t=one_one(int)|(?[X,Y]: hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X),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),Y),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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)))),
% 100.24/13.84 inference(pre_NNF_transformation,[status(esa)],[f274])).
% 100.24/13.84 fof(f6093,plain,(
% 100.24/13.84 ~t=one_one(int)|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),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),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))),
% 100.24/13.84 inference(skolemization,[status(esa)],[f6092])).
% 100.24/13.84 fof(f6094,plain,(
% 100.24/13.84 ~t=one_one(int)|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),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),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f6093])).
% 100.24/13.84 fof(f6095,plain,(
% 100.24/13.84 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))|(?[X,Y]: hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X),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),Y),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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)))),
% 100.24/13.84 inference(pre_NNF_transformation,[status(esa)],[f275])).
% 100.24/13.84 fof(f6096,plain,(
% 100.24/13.84 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),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),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))),
% 100.24/13.84 inference(skolemization,[status(esa)],[f6095])).
% 100.24/13.84 fof(f6097,plain,(
% 100.24/13.84 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),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),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f6096])).
% 100.24/13.84 fof(f6128,plain,(
% 100.24/13.84 ![Z,W_1]: ((~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z),W_1))|(hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z),W_1))&~ti(int,Z)=ti(int,W_1)))&(hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z),W_1))|(~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z),W_1))|ti(int,Z)=ti(int,W_1))))),
% 100.24/13.84 inference(NNF_transformation,[status(esa)],[f295])).
% 100.24/13.84 fof(f6129,plain,(
% 100.24/13.84 (![Z,W_1]: (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z),W_1))|(hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z),W_1))&~ti(int,Z)=ti(int,W_1))))&(![Z,W_1]: (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z),W_1))|(~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z),W_1))|ti(int,Z)=ti(int,W_1))))),
% 100.24/13.84 inference(miniscoping,[status(esa)],[f6128])).
% 100.24/13.84 fof(f6132,plain,(
% 100.24/13.84 ![X0,X1]: (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X0),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X0),X1))|ti(int,X0)=ti(int,X1))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f6129])).
% 100.24/13.84 fof(f6143,plain,(
% 100.24/13.84 ![X0,X1,X2]: (hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),X1)),X2)=hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f301])).
% 100.24/13.84 fof(f6165,plain,(
% 100.24/13.84 ![X0]: (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),X0)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),X0))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f308])).
% 100.24/13.84 fof(f6166,plain,(
% 100.24/13.84 ![X0]: (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),X0))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f309])).
% 100.24/13.84 fof(f6316,plain,(
% 100.24/13.84 ![X0,X1]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f361])).
% 100.24/13.84 fof(f6317,plain,(
% 100.24/13.84 ![X0]: (hAPP(int,int,number_number_of(int),X0)=ti(int,X0))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f362])).
% 100.24/13.84 fof(f6318,plain,(
% 100.24/13.84 ![X0,X1,X2]: (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(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),X0),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f363])).
% 100.24/13.84 fof(f6320,plain,(
% 100.24/13.84 ![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))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f365])).
% 100.24/13.84 fof(f6424,plain,(
% 100.24/13.84 hAPP(int,int,bit0,pls)=pls),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f396])).
% 100.24/13.84 fof(f6426,plain,(
% 100.24/13.84 ![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)))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f398])).
% 100.24/13.84 fof(f6427,plain,(
% 100.24/13.84 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),pls)=ti(int,X0))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f399])).
% 100.24/13.84 fof(f6428,plain,(
% 100.24/13.84 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),X0)=ti(int,X0))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f400])).
% 100.24/13.84 fof(f6430,plain,(
% 100.24/13.84 ![X0]: (hAPP(int,int,bit0,X0)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X0))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f402])).
% 100.24/13.84 fof(f6432,plain,(
% 100.24/13.84 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X0)=ti(int,X0))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f404])).
% 100.24/13.84 fof(f6434,plain,(
% 100.24/13.84 ![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)))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f406])).
% 100.24/13.84 fof(f6435,plain,(
% 100.24/13.84 ![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)))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f407])).
% 100.24/13.84 fof(f6436,plain,(
% 100.24/13.84 ![X0,X1]: (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,number_number_of(int),X0)),hAPP(int,int,number_number_of(int),X1))=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1)))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f408])).
% 100.24/13.84 fof(f6472,plain,(
% 100.24/13.84 ![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))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f427])).
% 100.24/13.84 fof(f6485,plain,(
% 100.24/13.84 one_one(int)=hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f434])).
% 100.24/13.84 fof(f6603,plain,(
% 100.24/13.84 pls=zero_zero(int)),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f479])).
% 100.24/13.84 fof(f6669,plain,(
% 100.24/13.84 zero_zero(int)=hAPP(int,int,number_number_of(int),pls)),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f502])).
% 100.24/13.84 fof(f6670,plain,(
% 100.24/13.84 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),one_one(int)))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f503])).
% 100.24/13.84 fof(f6724,plain,(
% 100.24/13.84 ![N,Ma]: (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),Ma))|(hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Ma),N)=one_one(int)<=>(ti(int,Ma)=one_one(int)&ti(int,N)=one_one(int))))),
% 100.24/13.84 inference(pre_NNF_transformation,[status(esa)],[f519])).
% 100.24/13.84 fof(f6725,plain,(
% 100.24/13.84 ![N,Ma]: (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),Ma))|((~hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Ma),N)=one_one(int)|(ti(int,Ma)=one_one(int)&ti(int,N)=one_one(int)))&(hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Ma),N)=one_one(int)|(~ti(int,Ma)=one_one(int)|~ti(int,N)=one_one(int)))))),
% 100.24/13.84 inference(NNF_transformation,[status(esa)],[f6724])).
% 100.24/13.84 fof(f6726,plain,(
% 100.24/13.84 ![Ma]: (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),Ma))|((![N]: (~hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Ma),N)=one_one(int)|(ti(int,Ma)=one_one(int)&ti(int,N)=one_one(int))))&(![N]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Ma),N)=one_one(int)|(~ti(int,Ma)=one_one(int)|~ti(int,N)=one_one(int))))))),
% 100.24/13.84 inference(miniscoping,[status(esa)],[f6725])).
% 100.24/13.84 fof(f6727,plain,(
% 100.24/13.84 ![X0,X1]: (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X0))|~hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1)=one_one(int)|ti(int,X0)=one_one(int))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f6726])).
% 100.24/13.84 fof(f8099,plain,(
% 100.24/13.84 ![X0]: (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X0),one_one(nat))=X0)),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f986])).
% 100.24/13.84 fof(f20976,plain,(
% 100.24/13.84 (![X,Y]: ~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X),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),Y),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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)))),
% 100.24/13.84 inference(pre_NNF_transformation,[status(esa)],[f5739])).
% 100.24/13.84 fof(f20977,plain,(
% 100.24/13.84 ![X0,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)))))=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)))),
% 100.24/13.84 inference(cnf_transformation,[status(esa)],[f20976])).
% 100.24/13.84 fof(f21352,plain,(
% 100.24/13.84 spl0_0 <=> t=one_one(int)),
% 100.24/13.84 introduced(split_symbol_definition)).
% 100.24/13.84 fof(f21354,plain,(
% 100.24/13.84 ~t=one_one(int)|spl0_0),
% 100.24/13.84 inference(component_clause,[status(thm)],[f21352])).
% 100.24/13.84 fof(f21355,plain,(
% 100.24/13.84 spl0_1 <=> hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),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),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))),
% 100.24/13.84 introduced(split_symbol_definition)).
% 100.24/13.84 fof(f21356,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),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),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))|~spl0_1),
% 100.24/13.84 inference(component_clause,[status(thm)],[f21355])).
% 100.24/13.84 fof(f21358,plain,(
% 100.24/13.84 ~spl0_0|spl0_1),
% 100.24/13.84 inference(split_clause,[status(thm)],[f6094,f21352,f21355])).
% 100.24/13.84 fof(f21359,plain,(
% 100.24/13.84 spl0_2 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))),
% 100.24/13.84 introduced(split_symbol_definition)).
% 100.24/13.84 fof(f21362,plain,(
% 100.24/13.84 spl0_3 <=> hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),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),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))),
% 100.24/13.84 introduced(split_symbol_definition)).
% 100.24/13.84 fof(f21363,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),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),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))|~spl0_3),
% 100.24/13.84 inference(component_clause,[status(thm)],[f21362])).
% 100.24/13.84 fof(f21365,plain,(
% 100.24/13.84 ~spl0_2|spl0_3),
% 100.24/13.84 inference(split_clause,[status(thm)],[f6097,f21359,f21362])).
% 100.24/13.84 fof(f21640,plain,(
% 100.24/13.84 pls=hAPP(int,int,number_number_of(int),pls)),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6603,f6669])).
% 100.24/13.84 fof(f21690,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~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(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))=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)))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f6143,f20977])).
% 100.24/13.84 fof(f21915,plain,(
% 100.24/13.84 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),one_one(int)))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6603,f6670])).
% 100.24/13.84 fof(f22031,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~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(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X2)))=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)))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f6166,f21690])).
% 100.24/13.84 fof(f22475,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~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(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),X2)))=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)))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f6165,f22031])).
% 100.24/13.84 fof(f26138,plain,(
% 100.24/13.84 ![X0,X1]: (hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),hAPP(int,int,bit0,X0)))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f6426,f6316])).
% 100.24/13.84 fof(f26560,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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)))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f6320,f22475])).
% 100.24/13.84 fof(f26561,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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)))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6320,f26560])).
% 100.24/13.84 fof(f26562,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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),m),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6316,f26561])).
% 100.24/13.84 fof(f33220,plain,(
% 100.24/13.84 ![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))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f6434,f6435])).
% 100.24/13.84 fof(f33221,plain,(
% 100.24/13.84 ![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))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6430,f33220])).
% 100.24/13.84 fof(f33222,plain,(
% 100.24/13.84 ![X0,X1]: (hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X1)),X0))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f26138,f33221])).
% 100.24/13.84 fof(f33223,plain,(
% 100.24/13.84 ![X0,X1]: (hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,X1)),X0))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6430,f33222])).
% 100.24/13.84 fof(f33224,plain,(
% 100.24/13.84 ![X0,X1]: (hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))=hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0)))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6426,f33223])).
% 100.24/13.84 fof(f33355,plain,(
% 100.24/13.84 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),hAPP(int,int,number_number_of(int),X0))=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),X0)))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f21640,f6436])).
% 100.24/13.84 fof(f33356,plain,(
% 100.24/13.84 ![X0]: (ti(int,hAPP(int,int,number_number_of(int),X0))=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),X0)))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6428,f33355])).
% 100.24/13.84 fof(f33357,plain,(
% 100.24/13.84 ![X0]: (ti(int,hAPP(int,int,number_number_of(int),X0))=hAPP(int,int,number_number_of(int),ti(int,X0)))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6428,f33356])).
% 100.24/13.84 fof(f33358,plain,(
% 100.24/13.84 ![X0]: (ti(int,hAPP(int,int,number_number_of(int),X0))=hAPP(int,int,number_number_of(int),X0))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6080,f33357])).
% 100.24/13.84 fof(f33420,plain,(
% 100.24/13.84 ![X0]: (hAPP(int,int,bit1,X0)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X0)))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6318,f6472])).
% 100.24/13.84 fof(f33421,plain,(
% 100.24/13.84 ![X0]: (hAPP(int,int,bit1,X0)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(int,int,bit0,X0)))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6430,f33420])).
% 100.24/13.84 fof(f33426,plain,(
% 100.24/13.84 hAPP(int,int,bit1,pls)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),pls)),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f6424,f33421])).
% 100.24/13.84 fof(f33427,plain,(
% 100.24/13.84 hAPP(int,int,bit1,pls)=ti(int,one_one(int))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6427,f33426])).
% 100.24/13.84 fof(f36445,plain,(
% 100.24/13.84 one_one(int)=hAPP(int,int,number_number_of(int),ti(int,one_one(int)))),
% 100.24/13.84 inference(backward_demodulation,[status(thm)],[f33427,f6485])).
% 100.24/13.84 fof(f36446,plain,(
% 100.24/13.84 one_one(int)=hAPP(int,int,number_number_of(int),one_one(int))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6080,f36445])).
% 100.24/13.84 fof(f36755,plain,(
% 100.24/13.84 ti(int,one_one(int))=hAPP(int,int,number_number_of(int),one_one(int))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f36446,f33358])).
% 100.24/13.84 fof(f36756,plain,(
% 100.24/13.84 ti(int,one_one(int))=one_one(int)),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f36446,f36755])).
% 100.24/13.84 fof(f36800,plain,(
% 100.24/13.84 hAPP(int,int,bit1,pls)=one_one(int)),
% 100.24/13.84 inference(backward_demodulation,[status(thm)],[f36756,f33427])).
% 100.24/13.84 fof(f38149,plain,(
% 100.24/13.84 ![X0,X1]: (hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0))))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f33224,f33421])).
% 100.24/13.84 fof(f38150,plain,(
% 100.24/13.84 ![X0,X1]: (hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0)))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f33421,f38149])).
% 100.24/13.84 fof(f40075,plain,(
% 100.24/13.84 ![X0,X1]: (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X0))|~hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1)=one_one(int)|ti(int,X0)=one_one(int))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6603,f6727])).
% 100.24/13.84 fof(f40148,plain,(
% 100.24/13.84 spl0_530 <=> ~hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X0)=one_one(int)),
% 100.24/13.84 introduced(split_symbol_definition)).
% 100.24/13.84 fof(f40149,plain,(
% 100.24/13.84 ![X0]: (~hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X0)=one_one(int)|~spl0_530)),
% 100.24/13.84 inference(component_clause,[status(thm)],[f40148])).
% 100.24/13.84 fof(f40151,plain,(
% 100.24/13.84 spl0_531 <=> ti(int,one_one(int))=one_one(int)),
% 100.24/13.84 introduced(split_symbol_definition)).
% 100.24/13.84 fof(f40152,plain,(
% 100.24/13.84 ti(int,one_one(int))=one_one(int)|~spl0_531),
% 100.24/13.84 inference(component_clause,[status(thm)],[f40151])).
% 100.24/13.84 fof(f40154,plain,(
% 100.24/13.84 ![X0]: (~hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X0)=one_one(int)|ti(int,one_one(int))=one_one(int))),
% 100.24/13.84 inference(resolution,[status(thm)],[f40075,f21915])).
% 100.24/13.84 fof(f40155,plain,(
% 100.24/13.84 spl0_530|spl0_531),
% 100.24/13.84 inference(split_clause,[status(thm)],[f40154,f40148,f40151])).
% 100.24/13.84 fof(f40181,plain,(
% 100.24/13.84 ![X0]: (~ti(int,X0)=one_one(int)|~spl0_530)),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6432,f40149])).
% 100.24/13.84 fof(f40240,plain,(
% 100.24/13.84 $false|~spl0_530),
% 100.24/13.84 inference(backward_subsumption_resolution,[status(thm)],[f36756,f40181])).
% 100.24/13.84 fof(f40241,plain,(
% 100.24/13.84 ~spl0_530),
% 100.24/13.84 inference(contradiction_clause,[status(thm)],[f40240])).
% 100.24/13.84 fof(f50643,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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),m),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f36800,f26562])).
% 100.24/13.84 fof(f50644,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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),m),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f36800,f50643])).
% 100.24/13.84 fof(f50645,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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),m),ti(int,hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6317,f50644])).
% 100.24/13.84 fof(f50646,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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),m),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6080,f50645])).
% 100.24/13.84 fof(f50647,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))),m))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f26138,f50646])).
% 100.24/13.84 fof(f50648,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))),m)))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f33421,f50647])).
% 100.24/13.84 fof(f50649,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f38150,f50648])).
% 100.24/13.84 fof(f50650,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,pls)),m))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f26138,f50649])).
% 100.24/13.84 fof(f50651,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),hAPP(int,int,bit1,pls)))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f33224,f50650])).
% 100.24/13.84 fof(f50652,plain,(
% 100.24/13.84 ![X0,X1,X2]: (~hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))),X1))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),one_one(int)))))),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f36800,f50651])).
% 100.24/13.84 fof(f50659,plain,(
% 100.24/13.84 ![X0,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,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),one_one(int)))))),
% 100.24/13.84 inference(paramodulation,[status(thm)],[f8099,f50652])).
% 100.24/13.84 fof(f57388,plain,(
% 100.24/13.84 spl0_1385 <=> ti(int,one_one(int))=ti(int,t)),
% 100.24/13.84 introduced(split_symbol_definition)).
% 100.24/13.84 fof(f57389,plain,(
% 100.24/13.84 ti(int,one_one(int))=ti(int,t)|~spl0_1385),
% 100.24/13.84 inference(component_clause,[status(thm)],[f57388])).
% 100.24/13.84 fof(f57391,plain,(
% 100.24/13.84 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))|ti(int,one_one(int))=ti(int,t)),
% 100.24/13.84 inference(resolution,[status(thm)],[f6132,f6091])).
% 100.24/13.84 fof(f57392,plain,(
% 100.24/13.84 spl0_2|spl0_1385),
% 100.24/13.84 inference(split_clause,[status(thm)],[f57391,f21359,f57388])).
% 100.24/13.84 fof(f57515,plain,(
% 100.24/13.84 one_one(int)=ti(int,t)|~spl0_531|~spl0_1385),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f40152,f57389])).
% 100.24/13.84 fof(f57516,plain,(
% 100.24/13.84 one_one(int)=t|~spl0_531|~spl0_1385),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6090,f57515])).
% 100.24/13.84 fof(f57517,plain,(
% 100.24/13.84 $false|spl0_0|~spl0_531|~spl0_1385),
% 100.24/13.84 inference(forward_subsumption_resolution,[status(thm)],[f57516,f21354])).
% 100.24/13.84 fof(f57518,plain,(
% 100.24/13.84 spl0_0|~spl0_531|~spl0_1385),
% 100.24/13.84 inference(contradiction_clause,[status(thm)],[f57517])).
% 100.24/13.84 fof(f57519,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f36800,f21363])).
% 100.24/13.84 fof(f57520,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f36800,f57519])).
% 100.24/13.84 fof(f57521,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6320,f57520])).
% 100.24/13.84 fof(f57522,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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),m),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6316,f57521])).
% 100.24/13.84 fof(f57523,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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),m),ti(int,hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6317,f57522])).
% 100.24/13.84 fof(f57524,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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),m),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6080,f57523])).
% 100.24/13.84 fof(f57525,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))),m)))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f26138,f57524])).
% 100.24/13.84 fof(f57526,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))),m))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f33421,f57525])).
% 100.24/13.84 fof(f57527,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f38150,f57526])).
% 100.24/13.84 fof(f57528,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,pls)),m)))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f26138,f57527])).
% 100.24/13.84 fof(f57529,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),hAPP(int,int,bit1,pls))))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f33224,f57528])).
% 100.24/13.84 fof(f57530,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_3),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),one_one(int))))|~spl0_3),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f36800,f57529])).
% 100.24/13.84 fof(f57531,plain,(
% 100.24/13.84 $false|~spl0_3),
% 100.24/13.84 inference(forward_subsumption_resolution,[status(thm)],[f57530,f50659])).
% 100.24/13.84 fof(f57532,plain,(
% 100.24/13.84 ~spl0_3),
% 100.24/13.84 inference(contradiction_clause,[status(thm)],[f57531])).
% 100.24/13.84 fof(f57535,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))=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))|~spl0_1),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f36800,f21356])).
% 100.24/13.84 fof(f57536,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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))|~spl0_1),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f36800,f57535])).
% 100.24/13.84 fof(f57537,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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))|~spl0_1),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6320,f57536])).
% 100.24/13.84 fof(f57538,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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),m),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))|~spl0_1),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6316,f57537])).
% 100.24/13.84 fof(f57539,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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),m),ti(int,hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))|~spl0_1),
% 100.24/13.84 inference(forward_demodulation,[status(thm)],[f6317,f57538])).
% 100.24/13.84 fof(f57540,plain,(
% 100.24/13.84 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(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),m),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))))|~spl0_1),
% 100.24/13.85 inference(forward_demodulation,[status(thm)],[f6080,f57539])).
% 100.24/13.85 fof(f57541,plain,(
% 100.24/13.85 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))),m)))|~spl0_1),
% 100.24/13.85 inference(forward_demodulation,[status(thm)],[f26138,f57540])).
% 100.24/13.85 fof(f57542,plain,(
% 100.24/13.85 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))),m))|~spl0_1),
% 100.24/13.85 inference(forward_demodulation,[status(thm)],[f33421,f57541])).
% 100.24/13.85 fof(f57543,plain,(
% 100.24/13.85 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))|~spl0_1),
% 100.24/13.85 inference(forward_demodulation,[status(thm)],[f38150,f57542])).
% 100.24/13.85 fof(f57544,plain,(
% 100.24/13.85 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,pls)),m)))|~spl0_1),
% 100.24/13.85 inference(forward_demodulation,[status(thm)],[f26138,f57543])).
% 100.24/13.85 fof(f57545,plain,(
% 100.24/13.85 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),hAPP(int,int,bit1,pls))))|~spl0_1),
% 100.24/13.85 inference(forward_demodulation,[status(thm)],[f33224,f57544])).
% 100.24/13.85 fof(f57546,plain,(
% 100.24/13.85 hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),sk0_1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,one_one(int)))))=hAPP(int,int,bit1,hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),one_one(int))))|~spl0_1),
% 100.24/13.85 inference(forward_demodulation,[status(thm)],[f36800,f57545])).
% 100.24/13.85 fof(f57547,plain,(
% 100.24/13.85 $false|~spl0_1),
% 100.24/13.85 inference(forward_subsumption_resolution,[status(thm)],[f57546,f50659])).
% 100.24/13.85 fof(f57548,plain,(
% 100.24/13.85 ~spl0_1),
% 100.24/13.85 inference(contradiction_clause,[status(thm)],[f57547])).
% 100.24/13.85 fof(f57549,plain,(
% 100.24/13.85 $false),
% 100.24/13.85 inference(sat_refutation,[status(thm)],[f21358,f21365,f40155,f40241,f57392,f57518,f57532,f57548])).
% 100.24/13.85 % SZS output end CNFRefutation for theBenchmark.p
% 104.71/14.45 % Elapsed time: 14.075751 seconds
% 104.71/14.45 % CPU time: 104.238876 seconds
% 104.71/14.45 % Total memory used: 2.150 GB
% 104.71/14.45 % Net memory used: 2.124 GB
%------------------------------------------------------------------------------