TSTP Solution File: NUM924+8 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM924+8 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 60.98s 8.95s
% Output : CNFRefutation 62.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM924+8 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:16:33 EDT 2023
% 0.12/0.34 % CPUTime :
% 1.08/1.29 % Drodi V3.5.1
% 60.98/8.95 % Refutation found
% 60.98/8.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 60.98/8.95 % SZS output start CNFRefutation for theBenchmark
% 60.98/8.95 fof(f106,hypothesis,(
% 60.98/8.95 ti(int,pls) = pls ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f265,axiom,(
% 60.98/8.95 (! [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) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f266,axiom,(
% 60.98/8.95 (! [X_c,X_a,B_1_1,B_2_1] : ti(X_c,hAPP(X_a,X_c,B_1_1,B_2_1)) = hAPP(X_a,X_c,B_1_1,B_2_1) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f275,axiom,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,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)))) ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f276,axiom,(
% 60.98/8.95 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) ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f295,axiom,(
% 60.98/8.95 (! [K_4] : hAPP(int,int,number_number_of(int),K_4) = ti(int,K_4) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f298,axiom,(
% 60.98/8.95 (! [V,W] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),V)),hAPP(int,int,number_number_of(int),W)) = hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),V),W)) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f335,axiom,(
% 60.98/8.95 (! [W] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),W) = pls )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f338,axiom,(
% 60.98/8.95 (! [Z_1] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z_1),one_one(int)) = ti(int,Z_1) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f340,axiom,(
% 60.98/8.95 (! [V,W] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,number_number_of(int),V)),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),W)) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f372,axiom,(
% 60.98/8.95 (! [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) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f373,axiom,(
% 60.98/8.95 zero_zero(int) = hAPP(int,int,number_number_of(int),pls) ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f385,axiom,(
% 60.98/8.95 one_one(int) = hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)) ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f386,axiom,(
% 60.98/8.95 (! [K_4,L_4] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,K_4)),L_4) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),K_4),L_4))),L_4) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f395,axiom,(
% 60.98/8.95 hAPP(int,int,bit0,pls) = pls ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f396,axiom,(
% 60.98/8.95 pls = zero_zero(int) ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f403,axiom,(
% 60.98/8.95 (! [K_4] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),K_4),pls) = ti(int,K_4) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f404,axiom,(
% 60.98/8.95 (! [K_4] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),K_4) = ti(int,K_4) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f435,axiom,(
% 60.98/8.95 (! [K_4,L_4] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit1,K_4)),hAPP(int,int,bit0,L_4)) = hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),K_4),L_4)) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f493,axiom,(
% 60.98/8.95 (! [X_a] :( comm_semiring_1(X_a)=> (! [A_1,B] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),A_1) )) )),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f740,axiom,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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,number_number_of(int),min_1)) = 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)) ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f5303,axiom,(
% 60.98/8.95 comm_semiring_1(int) ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f5738,conjecture,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,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))) ),
% 60.98/8.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 60.98/8.95 fof(f5739,negated_conjecture,(
% 60.98/8.95 ~(hBOOL(hAPP(int,bool,hAPP(int,fun(int,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))) )),
% 60.98/8.95 inference(negated_conjecture,[status(cth)],[f5738])).
% 60.98/8.95 fof(f5878,plain,(
% 60.98/8.95 ti(int,pls)=pls),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f106])).
% 60.98/8.95 fof(f6080,plain,(
% 60.98/8.95 ![X0,X1,X2,X3]: (hAPP(X0,X1,X2,ti(X0,X3))=hAPP(X0,X1,X2,X3))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f265])).
% 60.98/8.95 fof(f6081,plain,(
% 60.98/8.95 ![X0,X1,X2,X3]: (ti(X0,hAPP(X1,X0,X2,X3))=hAPP(X1,X0,X2,X3))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f266])).
% 60.98/8.95 fof(f6093,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,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))))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f275])).
% 60.98/8.95 fof(f6094,plain,(
% 60.98/8.95 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)),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f276])).
% 60.98/8.95 fof(f6140,plain,(
% 60.98/8.95 ![X0]: (hAPP(int,int,number_number_of(int),X0)=ti(int,X0))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f295])).
% 60.98/8.95 fof(f6143,plain,(
% 60.98/8.95 ![X0,X1]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(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),times_times(int),X0),X1)))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f298])).
% 60.98/8.95 fof(f6265,plain,(
% 60.98/8.95 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),X0)=pls)),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f335])).
% 60.98/8.95 fof(f6271,plain,(
% 60.98/8.95 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),one_one(int))=ti(int,X0))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f338])).
% 60.98/8.95 fof(f6273,plain,(
% 60.98/8.95 ![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)))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f340])).
% 60.98/8.95 fof(f6372,plain,(
% 60.98/8.95 ![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))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f372])).
% 60.98/8.95 fof(f6373,plain,(
% 60.98/8.95 zero_zero(int)=hAPP(int,int,number_number_of(int),pls)),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f373])).
% 60.98/8.95 fof(f6405,plain,(
% 60.98/8.95 one_one(int)=hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f385])).
% 60.98/8.95 fof(f6406,plain,(
% 60.98/8.95 ![X0,X1]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,X0)),X1)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))),X1))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f386])).
% 60.98/8.95 fof(f6430,plain,(
% 60.98/8.95 hAPP(int,int,bit0,pls)=pls),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f395])).
% 60.98/8.95 fof(f6431,plain,(
% 60.98/8.95 pls=zero_zero(int)),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f396])).
% 60.98/8.95 fof(f6450,plain,(
% 60.98/8.95 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),pls)=ti(int,X0))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f403])).
% 60.98/8.95 fof(f6451,plain,(
% 60.98/8.95 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),X0)=ti(int,X0))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f404])).
% 60.98/8.95 fof(f6528,plain,(
% 60.98/8.95 ![X0,X1]: (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit1,X0)),hAPP(int,int,bit0,X1))=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1)))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f435])).
% 60.98/8.95 fof(f6674,plain,(
% 60.98/8.95 ![X_a]: (~comm_semiring_1(X_a)|(![A_1,B]: hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),A_1)))),
% 60.98/8.95 inference(pre_NNF_transformation,[status(esa)],[f493])).
% 60.98/8.95 fof(f6675,plain,(
% 60.98/8.95 ![X0,X1,X2]: (~comm_semiring_1(X0)|hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X1),X2)=hAPP(X0,X0,hAPP(X0,fun(X0,X0),times_times(X0),X2),X1))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f6674])).
% 60.98/8.95 fof(f7384,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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,number_number_of(int),min_1))=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))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f740])).
% 60.98/8.95 fof(f20526,plain,(
% 60.98/8.95 comm_semiring_1(int)),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f5303])).
% 60.98/8.95 fof(f20972,plain,(
% 60.98/8.95 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,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)))),
% 60.98/8.95 inference(cnf_transformation,[status(esa)],[f5739])).
% 60.98/8.95 fof(f21626,plain,(
% 60.98/8.95 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,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))),pls))),
% 60.98/8.95 inference(backward_demodulation,[status(thm)],[f6431,f20972])).
% 60.98/8.95 fof(f21627,plain,(
% 60.98/8.95 pls=hAPP(int,int,number_number_of(int),pls)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6431,f6373])).
% 60.98/8.95 fof(f22173,plain,(
% 60.98/8.95 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit1,X0)),pls)=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),pls)))),
% 60.98/8.95 inference(paramodulation,[status(thm)],[f6430,f6528])).
% 60.98/8.95 fof(f22174,plain,(
% 60.98/8.95 ![X0]: (ti(int,hAPP(int,int,bit1,X0))=hAPP(int,int,bit1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),pls)))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6450,f22173])).
% 60.98/8.95 fof(f22175,plain,(
% 60.98/8.95 ![X0]: (ti(int,hAPP(int,int,bit1,X0))=hAPP(int,int,bit1,ti(int,X0)))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6450,f22174])).
% 60.98/8.95 fof(f22176,plain,(
% 60.98/8.95 ti(int,hAPP(int,int,bit1,pls))=hAPP(int,int,bit1,pls)),
% 60.98/8.95 inference(paramodulation,[status(thm)],[f5878,f22175])).
% 60.98/8.95 fof(f22271,plain,(
% 60.98/8.95 ![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)))),
% 60.98/8.95 inference(paramodulation,[status(thm)],[f21627,f6273])).
% 60.98/8.95 fof(f22272,plain,(
% 60.98/8.95 ![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)))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6451,f22271])).
% 60.98/8.95 fof(f22273,plain,(
% 60.98/8.95 ![X0]: (ti(int,hAPP(int,int,number_number_of(int),X0))=hAPP(int,int,number_number_of(int),ti(int,X0)))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6451,f22272])).
% 60.98/8.95 fof(f22416,plain,(
% 60.98/8.95 spl0_69 <=> comm_semiring_1(int)),
% 60.98/8.95 introduced(split_symbol_definition)).
% 60.98/8.95 fof(f22418,plain,(
% 60.98/8.95 ~comm_semiring_1(int)|spl0_69),
% 60.98/8.95 inference(component_clause,[status(thm)],[f22416])).
% 60.98/8.95 fof(f22637,plain,(
% 60.98/8.95 ti(int,hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)))=hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls))),
% 60.98/8.95 inference(paramodulation,[status(thm)],[f22176,f22273])).
% 60.98/8.95 fof(f22638,plain,(
% 60.98/8.95 ti(int,one_one(int))=hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6405,f22637])).
% 60.98/8.95 fof(f22639,plain,(
% 60.98/8.95 ti(int,one_one(int))=one_one(int)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6405,f22638])).
% 60.98/8.95 fof(f23668,plain,(
% 60.98/8.95 $false|spl0_69),
% 60.98/8.95 inference(forward_subsumption_resolution,[status(thm)],[f20526,f22418])).
% 60.98/8.95 fof(f23669,plain,(
% 60.98/8.95 spl0_69),
% 60.98/8.95 inference(contradiction_clause,[status(thm)],[f23668])).
% 60.98/8.95 fof(f24404,plain,(
% 60.98/8.95 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,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,hAPP(int,int,bit1,pls)))))),pls))),
% 60.98/8.95 inference(paramodulation,[status(thm)],[f6372,f21626])).
% 60.98/8.95 fof(f24815,plain,(
% 60.98/8.95 ![X0,X1]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,X0)),X1)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6372,f6406])).
% 60.98/8.95 fof(f24825,plain,(
% 60.98/8.95 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,pls)),X0)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),hAPP(int,int,bit0,pls)))),
% 60.98/8.95 inference(paramodulation,[status(thm)],[f6265,f24815])).
% 60.98/8.95 fof(f24826,plain,(
% 60.98/8.95 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,pls)),X0)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),pls))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6430,f24825])).
% 60.98/8.95 fof(f24827,plain,(
% 60.98/8.95 ![X0]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,pls)),X0)=ti(int,X0))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6450,f24826])).
% 60.98/8.95 fof(f25312,plain,(
% 60.98/8.95 ti(int,one_one(int))=ti(int,hAPP(int,int,bit1,pls))),
% 60.98/8.95 inference(paramodulation,[status(thm)],[f24827,f6271])).
% 60.98/8.95 fof(f25313,plain,(
% 60.98/8.95 one_one(int)=ti(int,hAPP(int,int,bit1,pls))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f22639,f25312])).
% 60.98/8.95 fof(f25314,plain,(
% 60.98/8.95 one_one(int)=hAPP(int,int,bit1,pls)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f22176,f25313])).
% 60.98/8.95 fof(f25342,plain,(
% 60.98/8.95 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,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)))))),pls))),
% 60.98/8.95 inference(backward_demodulation,[status(thm)],[f25314,f24404])).
% 60.98/8.95 fof(f30650,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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,number_number_of(int),min_1))=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))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f25314,f7384])).
% 60.98/8.95 fof(f30651,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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,number_number_of(int),min_1))=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)))))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6372,f30650])).
% 60.98/8.95 fof(f30652,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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,number_number_of(int),min_1))=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)))))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f25314,f30651])).
% 60.98/8.95 fof(f34176,plain,(
% 60.98/8.95 spl0_516 <=> hAPP(int,int,number_number_of(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),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X0))),
% 60.98/8.95 introduced(split_symbol_definition)).
% 60.98/8.95 fof(f34177,plain,(
% 60.98/8.95 ![X0,X1]: (hAPP(int,int,number_number_of(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),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X0))|~spl0_516)),
% 60.98/8.95 inference(component_clause,[status(thm)],[f34176])).
% 60.98/8.95 fof(f34179,plain,(
% 60.98/8.95 ![X0,X1]: (~comm_semiring_1(int)|hAPP(int,int,number_number_of(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),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X0)))),
% 60.98/8.95 inference(paramodulation,[status(thm)],[f6143,f6675])).
% 60.98/8.95 fof(f34180,plain,(
% 60.98/8.95 ~spl0_69|spl0_516),
% 60.98/8.95 inference(split_clause,[status(thm)],[f34179,f22416,f34176])).
% 60.98/8.95 fof(f34209,plain,(
% 60.98/8.95 ![X0,X1]: (hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0))|~spl0_516)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6143,f34177])).
% 60.98/8.95 fof(f44135,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),ti(int,min_1))=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)))))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6140,f30652])).
% 60.98/8.95 fof(f44136,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)=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)))))),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6080,f44135])).
% 60.98/8.95 fof(f44722,plain,(
% 60.98/8.95 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)),pls))),
% 60.98/8.95 inference(backward_demodulation,[status(thm)],[f44136,f25342])).
% 60.98/8.95 fof(f45124,plain,(
% 60.98/8.95 ![X0,X1]: (ti(int,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1))=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0))|~spl0_516)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6140,f34209])).
% 60.98/8.95 fof(f45125,plain,(
% 60.98/8.95 ![X0,X1]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1)=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0))|~spl0_516)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6081,f45124])).
% 60.98/8.95 fof(f45126,plain,(
% 60.98/8.95 ![X0,X1]: (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1)=ti(int,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0))|~spl0_516)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6140,f45125])).
% 60.98/8.95 fof(f45127,plain,(
% 60.98/8.95 ![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)|~spl0_516)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6081,f45126])).
% 60.98/8.95 fof(f47484,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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)))),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f45127,f6093])).
% 60.98/8.95 fof(f47485,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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)))),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6372,f47484])).
% 60.98/8.95 fof(f47486,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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)))))))),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f45127,f47485])).
% 60.98/8.95 fof(f47496,plain,(
% 60.98/8.95 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)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6372,f6094])).
% 60.98/8.95 fof(f47497,plain,(
% 60.98/8.95 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)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f25314,f47496])).
% 60.98/8.95 fof(f47498,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)=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)),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f44136,f47497])).
% 60.98/8.95 fof(f47499,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f45127,f47498])).
% 60.98/8.95 fof(f47500,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6372,f47499])).
% 60.98/8.95 fof(f47501,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f45127,f47500])).
% 60.98/8.95 fof(f47515,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6140,f47501])).
% 60.98/8.95 fof(f47516,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6080,f47515])).
% 60.98/8.95 fof(f47517,plain,(
% 60.98/8.95 hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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,one_one(int))))))|~spl0_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f25314,f47516])).
% 60.98/8.95 fof(f47518,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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)))))))),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6140,f47486])).
% 60.98/8.95 fof(f47519,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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))))))),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6080,f47518])).
% 60.98/8.95 fof(f47520,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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,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))),zero_zero(int))))|~spl0_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f25314,f47519])).
% 60.98/8.95 fof(f47521,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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,one_one(int))))))),hAPP(int,int,hAPP(int,fun(int,int),times_times(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),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f45127,f47520])).
% 60.98/8.95 fof(f47522,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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,one_one(int))))))),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),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_516),
% 60.98/8.95 inference(forward_demodulation,[status(thm)],[f6431,f47521])).
% 60.98/8.95 fof(f47523,plain,(
% 60.98/8.95 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),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,one_one(int))))))),pls))|~spl0_516),
% 62.37/9.12 inference(forward_demodulation,[status(thm)],[f6265,f47522])).
% 62.37/9.12 fof(f48581,plain,(
% 62.37/9.12 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(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))))),min_1)),pls))|~spl0_516),
% 62.37/9.12 inference(forward_demodulation,[status(thm)],[f47517,f47523])).
% 62.37/9.12 fof(f48582,plain,(
% 62.37/9.12 $false|~spl0_516),
% 62.37/9.12 inference(forward_subsumption_resolution,[status(thm)],[f48581,f44722])).
% 62.37/9.12 fof(f48583,plain,(
% 62.37/9.12 ~spl0_516),
% 62.37/9.12 inference(contradiction_clause,[status(thm)],[f48582])).
% 62.37/9.12 fof(f48584,plain,(
% 62.37/9.12 $false),
% 62.37/9.12 inference(sat_refutation,[status(thm)],[f23669,f34180,f48583])).
% 62.37/9.12 % SZS output end CNFRefutation for theBenchmark.p
% 63.56/9.39 % Elapsed time: 9.035070 seconds
% 63.56/9.39 % CPU time: 62.566695 seconds
% 63.56/9.39 % Memory used: 1.478 GB
%------------------------------------------------------------------------------