TSTP Solution File: NUM926+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM926+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:36:08 EDT 2024
% Result : Theorem 3.60s 0.85s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM926+2 : TPTP v8.1.2. Released v5.3.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:35:11 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.38 % Drodi V3.6.0
% 3.60/0.85 % Refutation found
% 3.60/0.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.60/0.85 % SZS output start CNFRefutation for theBenchmark
% 3.60/0.85 fof(f2,hypothesis,(
% 3.60/0.85 is_int(one_one_int) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f5,axiom,(
% 3.60/0.85 is_int(zero_zero_int) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f8,hypothesis,(
% 3.60/0.85 (! [B_1_1] :( is_int(B_1_1)=> is_int(bit1(B_1_1)) ) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f9,axiom,(
% 3.60/0.85 is_int(min) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f11,hypothesis,(
% 3.60/0.85 (! [B_1_1] :( is_int(B_1_1)=> is_int(number_number_of_int(B_1_1)) ) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f15,hypothesis,(
% 3.60/0.85 is_int(m) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f17,axiom,(
% 3.60/0.85 is_int(s) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f18,axiom,(
% 3.60/0.85 is_int(t) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f19,axiom,(
% 3.60/0.85 ord_less_eq_int(one_one_int,t) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f20,axiom,(
% 3.60/0.85 ( t = one_one_int=> (? [X,Y] :( is_int(X)& is_int(Y)& plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) )) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f21,axiom,(
% 3.60/0.85 ( ord_less_int(one_one_int,t)=> (? [X,Y] :( is_int(X)& is_int(Y)& plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) )) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f40,axiom,(
% 3.60/0.85 (! [X_21] : times_times_int(X_21,X_21) = power_power_int(X_21,number_number_of_nat(bit0(bit1(pls)))) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f56,axiom,(
% 3.60/0.85 (! [Z_1,W_1] :( ( is_int(Z_1)& is_int(W_1) )=> ( ord_less_int(Z_1,W_1)<=> ( ord_less_eq_int(Z_1,W_1)& Z_1 != W_1 ) ) ) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f133,axiom,(
% 3.60/0.85 (! [A_56,B_17] : times_times_int(A_56,B_17) = times_times_int(B_17,A_56) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f151,axiom,(
% 3.60/0.85 (! [A_50,C_5] : plus_plus_int(A_50,C_5) = plus_plus_int(C_5,A_50) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f161,axiom,(
% 3.60/0.85 (! [K] :( is_int(K)=> number_number_of_int(K) = K ) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f217,axiom,(
% 3.60/0.85 bit0(pls) = pls ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f223,axiom,(
% 3.60/0.85 (! [K] : bit0(K) = plus_plus_int(K,K) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f279,axiom,(
% 3.60/0.85 number_number_of_int(bit1(pls)) = one_one_int ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f325,axiom,(
% 3.60/0.85 (? [X] :( is_int(X)& ord_less_eq_int(zero_zero_int,X)& ord_less_int(X,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))& zcong(s1,X,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))& (! [Y] :( is_int(Y)=> ( ( ord_less_eq_int(zero_zero_int,Y)& ord_less_int(Y,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))& zcong(s1,Y,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) )=> Y = X ) ) )) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f326,axiom,(
% 3.60/0.85 ~ (! [S] :( is_int(S)=> ~ ( ord_less_eq_int(zero_zero_int,S)& ord_less_int(S,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))& zcong(s1,S,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ) ) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f375,axiom,(
% 3.60/0.85 pls = zero_zero_int ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f409,axiom,(
% 3.60/0.85 zero_zero_int = number_number_of_int(pls) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f711,axiom,(
% 3.60/0.85 ord_less_eq_int(zero_zero_int,one_one_int) ),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f717,conjecture,(
% 3.60/0.85 (? [X,Y] : plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )),
% 3.60/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.60/0.85 fof(f718,negated_conjecture,(
% 3.60/0.85 ~((? [X,Y] : plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ))),
% 3.60/0.85 inference(negated_conjecture,[status(cth)],[f717])).
% 3.60/0.85 fof(f721,plain,(
% 3.60/0.85 is_int(one_one_int)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f2])).
% 3.60/0.85 fof(f726,plain,(
% 3.60/0.85 is_int(zero_zero_int)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f5])).
% 3.60/0.85 fof(f730,plain,(
% 3.60/0.85 ![B_1_1]: (~is_int(B_1_1)|is_int(bit1(B_1_1)))),
% 3.60/0.85 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.60/0.85 fof(f731,plain,(
% 3.60/0.85 ![X0]: (~is_int(X0)|is_int(bit1(X0)))),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f730])).
% 3.60/0.85 fof(f732,plain,(
% 3.60/0.85 is_int(min)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f9])).
% 3.60/0.85 fof(f734,plain,(
% 3.60/0.85 ![B_1_1]: (~is_int(B_1_1)|is_int(number_number_of_int(B_1_1)))),
% 3.60/0.85 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 3.60/0.85 fof(f735,plain,(
% 3.60/0.85 ![X0]: (~is_int(X0)|is_int(number_number_of_int(X0)))),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f734])).
% 3.60/0.85 fof(f742,plain,(
% 3.60/0.85 is_int(m)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f15])).
% 3.60/0.85 fof(f744,plain,(
% 3.60/0.85 is_int(s)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f17])).
% 3.60/0.85 fof(f745,plain,(
% 3.60/0.85 is_int(t)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f18])).
% 3.60/0.85 fof(f746,plain,(
% 3.60/0.85 ord_less_eq_int(one_one_int,t)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f19])).
% 3.60/0.85 fof(f747,plain,(
% 3.60/0.85 ~t=one_one_int|(?[X,Y]: ((is_int(X)&is_int(Y))&plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))),
% 3.60/0.85 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 3.60/0.85 fof(f748,plain,(
% 3.60/0.85 ~t=one_one_int|((is_int(sk0_0)&is_int(sk0_1))&plus_plus_int(power_power_int(sk0_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sk0_1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))),
% 3.60/0.85 inference(skolemization,[status(esa)],[f747])).
% 3.60/0.85 fof(f751,plain,(
% 3.60/0.85 ~t=one_one_int|plus_plus_int(power_power_int(sk0_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sk0_1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f748])).
% 3.60/0.85 fof(f752,plain,(
% 3.60/0.85 ~ord_less_int(one_one_int,t)|(?[X,Y]: ((is_int(X)&is_int(Y))&plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))),
% 3.60/0.85 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.60/0.85 fof(f753,plain,(
% 3.60/0.85 ~ord_less_int(one_one_int,t)|((is_int(sk0_2)&is_int(sk0_3))&plus_plus_int(power_power_int(sk0_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sk0_3,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))),
% 3.60/0.85 inference(skolemization,[status(esa)],[f752])).
% 3.60/0.85 fof(f756,plain,(
% 3.60/0.85 ~ord_less_int(one_one_int,t)|plus_plus_int(power_power_int(sk0_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sk0_3,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f753])).
% 3.60/0.85 fof(f775,plain,(
% 3.60/0.85 ![X0]: (times_times_int(X0,X0)=power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))))),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f40])).
% 3.60/0.85 fof(f794,plain,(
% 3.60/0.85 ![Z_1,W_1]: ((~is_int(Z_1)|~is_int(W_1))|(ord_less_int(Z_1,W_1)<=>(ord_less_eq_int(Z_1,W_1)&~Z_1=W_1)))),
% 3.60/0.85 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 3.60/0.85 fof(f795,plain,(
% 3.60/0.85 ![Z_1,W_1]: ((~is_int(Z_1)|~is_int(W_1))|((~ord_less_int(Z_1,W_1)|(ord_less_eq_int(Z_1,W_1)&~Z_1=W_1))&(ord_less_int(Z_1,W_1)|(~ord_less_eq_int(Z_1,W_1)|Z_1=W_1))))),
% 3.60/0.85 inference(NNF_transformation,[status(esa)],[f794])).
% 3.60/0.85 fof(f798,plain,(
% 3.60/0.85 ![X0,X1]: (~is_int(X0)|~is_int(X1)|ord_less_int(X0,X1)|~ord_less_eq_int(X0,X1)|X0=X1)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f795])).
% 3.60/0.85 fof(f968,plain,(
% 3.60/0.85 ![X0,X1]: (times_times_int(X0,X1)=times_times_int(X1,X0))),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f133])).
% 3.60/0.85 fof(f986,plain,(
% 3.60/0.85 ![X0,X1]: (plus_plus_int(X0,X1)=plus_plus_int(X1,X0))),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f151])).
% 3.60/0.85 fof(f1018,plain,(
% 3.60/0.85 ![K]: (~is_int(K)|number_number_of_int(K)=K)),
% 3.60/0.85 inference(pre_NNF_transformation,[status(esa)],[f161])).
% 3.60/0.85 fof(f1019,plain,(
% 3.60/0.85 ![X0]: (~is_int(X0)|number_number_of_int(X0)=X0)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f1018])).
% 3.60/0.85 fof(f1165,plain,(
% 3.60/0.85 bit0(pls)=pls),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f217])).
% 3.60/0.85 fof(f1173,plain,(
% 3.60/0.85 ![X0]: (bit0(X0)=plus_plus_int(X0,X0))),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f223])).
% 3.60/0.85 fof(f1247,plain,(
% 3.60/0.85 number_number_of_int(bit1(pls))=one_one_int),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f279])).
% 3.60/0.85 fof(f1326,plain,(
% 3.60/0.85 ?[X]: ((((is_int(X)&ord_less_eq_int(zero_zero_int,X))&ord_less_int(X,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))&zcong(s1,X,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))&(![Y]: (~is_int(Y)|(((~ord_less_eq_int(zero_zero_int,Y)|~ord_less_int(Y,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))|~zcong(s1,Y,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))|Y=X))))),
% 3.60/0.85 inference(pre_NNF_transformation,[status(esa)],[f325])).
% 3.60/0.85 fof(f1327,plain,(
% 3.60/0.85 ((((is_int(sk0_5)&ord_less_eq_int(zero_zero_int,sk0_5))&ord_less_int(sk0_5,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))&zcong(s1,sk0_5,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))&(![Y]: (~is_int(Y)|(((~ord_less_eq_int(zero_zero_int,Y)|~ord_less_int(Y,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))|~zcong(s1,Y,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))|Y=sk0_5))))),
% 3.60/0.85 inference(skolemization,[status(esa)],[f1326])).
% 3.60/0.85 fof(f1328,plain,(
% 3.60/0.85 is_int(sk0_5)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f1327])).
% 3.60/0.85 fof(f1333,plain,(
% 3.60/0.85 (?[S]: (is_int(S)&((ord_less_eq_int(zero_zero_int,S)&ord_less_int(S,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))&zcong(s1,S,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))))),
% 3.60/0.85 inference(pre_NNF_transformation,[status(esa)],[f326])).
% 3.60/0.85 fof(f1334,plain,(
% 3.60/0.85 (is_int(sk0_6)&((ord_less_eq_int(zero_zero_int,sk0_6)&ord_less_int(sk0_6,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))&zcong(s1,sk0_6,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))))),
% 3.60/0.85 inference(skolemization,[status(esa)],[f1333])).
% 3.60/0.85 fof(f1335,plain,(
% 3.60/0.85 is_int(sk0_6)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f1334])).
% 3.60/0.85 fof(f1470,plain,(
% 3.60/0.85 pls=zero_zero_int),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f375])).
% 3.60/0.85 fof(f1573,plain,(
% 3.60/0.85 zero_zero_int=number_number_of_int(pls)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f409])).
% 3.60/0.85 fof(f2389,plain,(
% 3.60/0.85 ord_less_eq_int(zero_zero_int,one_one_int)),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f711])).
% 3.60/0.85 fof(f2405,plain,(
% 3.60/0.85 (![X,Y]: ~plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))),
% 3.60/0.85 inference(pre_NNF_transformation,[status(esa)],[f718])).
% 3.60/0.85 fof(f2406,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))),
% 3.60/0.85 inference(cnf_transformation,[status(esa)],[f2405])).
% 3.60/0.85 fof(f2407,plain,(
% 3.60/0.85 spl0_0 <=> t=one_one_int),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f2418,plain,(
% 3.60/0.85 spl0_3 <=> plus_plus_int(power_power_int(sk0_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sk0_1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f2419,plain,(
% 3.60/0.85 plus_plus_int(power_power_int(sk0_0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sk0_1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_3),
% 3.60/0.85 inference(component_clause,[status(thm)],[f2418])).
% 3.60/0.85 fof(f2421,plain,(
% 3.60/0.85 ~spl0_0|spl0_3),
% 3.60/0.85 inference(split_clause,[status(thm)],[f751,f2407,f2418])).
% 3.60/0.85 fof(f2422,plain,(
% 3.60/0.85 spl0_4 <=> ord_less_int(one_one_int,t)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f2433,plain,(
% 3.60/0.85 spl0_7 <=> plus_plus_int(power_power_int(sk0_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sk0_3,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f2434,plain,(
% 3.60/0.85 plus_plus_int(power_power_int(sk0_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sk0_3,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_7),
% 3.60/0.85 inference(component_clause,[status(thm)],[f2433])).
% 3.60/0.85 fof(f2436,plain,(
% 3.60/0.85 ~spl0_4|spl0_7),
% 3.60/0.85 inference(split_clause,[status(thm)],[f756,f2422,f2433])).
% 3.60/0.85 fof(f2534,plain,(
% 3.60/0.85 spl0_10 <=> is_int(pls)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f2536,plain,(
% 3.60/0.85 ~is_int(pls)|spl0_10),
% 3.60/0.85 inference(component_clause,[status(thm)],[f2534])).
% 3.60/0.85 fof(f2537,plain,(
% 3.60/0.85 spl0_11 <=> is_int(zero_zero_int)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f2540,plain,(
% 3.60/0.85 ~is_int(pls)|is_int(zero_zero_int)),
% 3.60/0.85 inference(paramodulation,[status(thm)],[f1573,f735])).
% 3.60/0.85 fof(f2541,plain,(
% 3.60/0.85 ~spl0_10|spl0_11),
% 3.60/0.85 inference(split_clause,[status(thm)],[f2540,f2534,f2537])).
% 3.60/0.85 fof(f2547,plain,(
% 3.60/0.85 zero_zero_int=number_number_of_int(zero_zero_int)),
% 3.60/0.85 inference(backward_demodulation,[status(thm)],[f1470,f1573])).
% 3.60/0.85 fof(f2548,plain,(
% 3.60/0.85 bit0(pls)=zero_zero_int),
% 3.60/0.85 inference(backward_demodulation,[status(thm)],[f1470,f1165])).
% 3.60/0.85 fof(f2549,plain,(
% 3.60/0.85 bit0(zero_zero_int)=zero_zero_int),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f2548])).
% 3.60/0.85 fof(f2551,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int)))),m),one_one_int))),
% 3.60/0.85 inference(backward_demodulation,[status(thm)],[f1470,f2406])).
% 3.60/0.85 fof(f2552,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(zero_zero_int)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int)))),m),one_one_int))),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f2551])).
% 3.60/0.85 fof(f2553,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(zero_zero_int)))),power_power_int(X1,number_number_of_nat(bit0(bit1(zero_zero_int)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int)))),m),one_one_int))),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f2552])).
% 3.60/0.85 fof(f2556,plain,(
% 3.60/0.85 ~is_int(zero_zero_int)|spl0_10),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f2536])).
% 3.60/0.85 fof(f2557,plain,(
% 3.60/0.85 $false|spl0_10),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f2556,f726])).
% 3.60/0.85 fof(f2558,plain,(
% 3.60/0.85 spl0_10),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f2557])).
% 3.60/0.85 fof(f2596,plain,(
% 3.60/0.85 spl0_14 <=> is_int(one_one_int)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f2682,plain,(
% 3.60/0.85 ![X0]: (times_times_int(X0,X0)=power_power_int(X0,number_number_of_nat(bit0(bit1(zero_zero_int)))))),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f775])).
% 3.60/0.85 fof(f2711,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(times_times_int(X0,X0),power_power_int(X1,number_number_of_nat(bit0(bit1(zero_zero_int)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int)))),m),one_one_int))),
% 3.60/0.85 inference(paramodulation,[status(thm)],[f2682,f2553])).
% 3.60/0.85 fof(f2909,plain,(
% 3.60/0.85 number_number_of_int(bit1(zero_zero_int))=one_one_int),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f1247])).
% 3.60/0.85 fof(f2939,plain,(
% 3.60/0.85 spl0_15 <=> is_int(bit1(zero_zero_int))),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f2941,plain,(
% 3.60/0.85 ~is_int(bit1(zero_zero_int))|spl0_15),
% 3.60/0.85 inference(component_clause,[status(thm)],[f2939])).
% 3.60/0.85 fof(f2942,plain,(
% 3.60/0.85 spl0_16 <=> one_one_int=bit1(zero_zero_int)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f2943,plain,(
% 3.60/0.85 one_one_int=bit1(zero_zero_int)|~spl0_16),
% 3.60/0.85 inference(component_clause,[status(thm)],[f2942])).
% 3.60/0.85 fof(f2945,plain,(
% 3.60/0.85 ~is_int(bit1(zero_zero_int))|one_one_int=bit1(zero_zero_int)),
% 3.60/0.85 inference(paramodulation,[status(thm)],[f2909,f1019])).
% 3.60/0.85 fof(f2946,plain,(
% 3.60/0.85 ~spl0_15|spl0_16),
% 3.60/0.85 inference(split_clause,[status(thm)],[f2945,f2939,f2942])).
% 3.60/0.85 fof(f2993,plain,(
% 3.60/0.85 ~is_int(zero_zero_int)|spl0_15),
% 3.60/0.85 inference(resolution,[status(thm)],[f2941,f731])).
% 3.60/0.85 fof(f2994,plain,(
% 3.60/0.85 $false|spl0_15),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f2993,f726])).
% 3.60/0.85 fof(f2995,plain,(
% 3.60/0.85 spl0_15),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f2994])).
% 3.60/0.85 fof(f3019,plain,(
% 3.60/0.85 ![X0]: (times_times_int(X0,X0)=power_power_int(X0,number_number_of_nat(bit0(one_one_int)))|~spl0_16)),
% 3.60/0.85 inference(backward_demodulation,[status(thm)],[f2943,f2682])).
% 3.60/0.85 fof(f3073,plain,(
% 3.60/0.85 ~is_int(zero_zero_int)|is_int(one_one_int)|~spl0_16),
% 3.60/0.85 inference(paramodulation,[status(thm)],[f2943,f731])).
% 3.60/0.85 fof(f3074,plain,(
% 3.60/0.85 ~spl0_11|spl0_14|~spl0_16),
% 3.60/0.85 inference(split_clause,[status(thm)],[f3073,f2537,f2596,f2942])).
% 3.60/0.85 fof(f3348,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(times_times_int(X0,X0),power_power_int(X1,number_number_of_nat(bit0(one_one_int))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int)))),m),one_one_int)|~spl0_16)),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2943,f2711])).
% 3.60/0.85 fof(f3349,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(times_times_int(X0,X0),power_power_int(X1,number_number_of_nat(bit0(one_one_int))))=plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int)))),m))|~spl0_16)),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f986,f3348])).
% 3.60/0.85 fof(f3350,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(times_times_int(X0,X0),power_power_int(X1,number_number_of_nat(bit0(one_one_int))))=plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(zero_zero_int))))))|~spl0_16)),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f968,f3349])).
% 3.60/0.85 fof(f3351,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(times_times_int(X0,X0),power_power_int(X1,number_number_of_nat(bit0(one_one_int))))=plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(one_one_int)))))|~spl0_16)),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2943,f3350])).
% 3.60/0.85 fof(f3360,plain,(
% 3.60/0.85 ![X0,X1]: (~plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1))=plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(one_one_int)))))|~spl0_16)),
% 3.60/0.85 inference(paramodulation,[status(thm)],[f3019,f3351])).
% 3.60/0.85 fof(f3415,plain,(
% 3.60/0.85 spl0_29 <=> is_int(t)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f3417,plain,(
% 3.60/0.85 ~is_int(t)|spl0_29),
% 3.60/0.85 inference(component_clause,[status(thm)],[f3415])).
% 3.60/0.85 fof(f3458,plain,(
% 3.60/0.85 $false|spl0_29),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f3417,f745])).
% 3.60/0.85 fof(f3459,plain,(
% 3.60/0.85 spl0_29),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f3458])).
% 3.60/0.85 fof(f3460,plain,(
% 3.60/0.85 spl0_33 <=> is_int(m)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f3462,plain,(
% 3.60/0.85 ~is_int(m)|spl0_33),
% 3.60/0.85 inference(component_clause,[status(thm)],[f3460])).
% 3.60/0.85 fof(f3468,plain,(
% 3.60/0.85 $false|spl0_33),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f3462,f742])).
% 3.60/0.85 fof(f3469,plain,(
% 3.60/0.85 spl0_33),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f3468])).
% 3.60/0.85 fof(f3567,plain,(
% 3.60/0.85 spl0_45 <=> is_int(plus_plus_int(zero_zero_int,zero_zero_int))),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f3569,plain,(
% 3.60/0.85 ~is_int(plus_plus_int(zero_zero_int,zero_zero_int))|spl0_45),
% 3.60/0.85 inference(component_clause,[status(thm)],[f3567])).
% 3.60/0.85 fof(f3592,plain,(
% 3.60/0.85 ~is_int(bit0(zero_zero_int))|spl0_45),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1173,f3569])).
% 3.60/0.85 fof(f3593,plain,(
% 3.60/0.85 ~is_int(zero_zero_int)|spl0_45),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2549,f3592])).
% 3.60/0.85 fof(f3594,plain,(
% 3.60/0.85 $false|spl0_45),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f3593,f726])).
% 3.60/0.85 fof(f3595,plain,(
% 3.60/0.85 spl0_45),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f3594])).
% 3.60/0.85 fof(f3672,plain,(
% 3.60/0.85 spl0_48 <=> is_int(min)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f3674,plain,(
% 3.60/0.85 ~is_int(min)|spl0_48),
% 3.60/0.85 inference(component_clause,[status(thm)],[f3672])).
% 3.60/0.85 fof(f3732,plain,(
% 3.60/0.85 spl0_53 <=> ord_less_eq_int(number_number_of_int(zero_zero_int),one_one_int)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f3734,plain,(
% 3.60/0.85 ~ord_less_eq_int(number_number_of_int(zero_zero_int),one_one_int)|spl0_53),
% 3.60/0.85 inference(component_clause,[status(thm)],[f3732])).
% 3.60/0.85 fof(f3744,plain,(
% 3.60/0.85 ~ord_less_eq_int(zero_zero_int,one_one_int)|spl0_53),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2547,f3734])).
% 3.60/0.85 fof(f3745,plain,(
% 3.60/0.85 $false|spl0_53),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f3744,f2389])).
% 3.60/0.85 fof(f3746,plain,(
% 3.60/0.85 spl0_53),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f3745])).
% 3.60/0.85 fof(f4286,plain,(
% 3.60/0.85 spl0_89 <=> is_int(bit1(one_one_int))),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f4288,plain,(
% 3.60/0.85 ~is_int(bit1(one_one_int))|spl0_89),
% 3.60/0.85 inference(component_clause,[status(thm)],[f4286])).
% 3.60/0.85 fof(f4302,plain,(
% 3.60/0.85 ~is_int(one_one_int)|spl0_89),
% 3.60/0.85 inference(resolution,[status(thm)],[f4288,f731])).
% 3.60/0.85 fof(f4303,plain,(
% 3.60/0.85 $false|spl0_89),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f4302,f721])).
% 3.60/0.85 fof(f4304,plain,(
% 3.60/0.85 spl0_89),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f4303])).
% 3.60/0.85 fof(f4524,plain,(
% 3.60/0.85 spl0_95 <=> is_int(number_number_of_int(zero_zero_int))),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f4526,plain,(
% 3.60/0.85 ~is_int(number_number_of_int(zero_zero_int))|spl0_95),
% 3.60/0.85 inference(component_clause,[status(thm)],[f4524])).
% 3.60/0.85 fof(f4535,plain,(
% 3.60/0.85 ~is_int(zero_zero_int)|spl0_95),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2547,f4526])).
% 3.60/0.85 fof(f4536,plain,(
% 3.60/0.85 $false|spl0_95),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f4535,f726])).
% 3.60/0.85 fof(f4537,plain,(
% 3.60/0.85 spl0_95),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f4536])).
% 3.60/0.85 fof(f5108,plain,(
% 3.60/0.85 spl0_111 <=> ~X0=X0),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f5109,plain,(
% 3.60/0.85 ![X0]: (~X0=X0|~spl0_111)),
% 3.60/0.85 inference(component_clause,[status(thm)],[f5108])).
% 3.60/0.85 fof(f5118,plain,(
% 3.60/0.85 $false|~spl0_111),
% 3.60/0.85 inference(trivial_equality_resolution,[status(esa)],[f5109])).
% 3.60/0.85 fof(f5119,plain,(
% 3.60/0.85 ~spl0_111),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f5118])).
% 3.60/0.85 fof(f6341,plain,(
% 3.60/0.85 spl0_122 <=> is_int(number_number_of_int(min))),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f6343,plain,(
% 3.60/0.85 ~is_int(number_number_of_int(min))|spl0_122),
% 3.60/0.85 inference(component_clause,[status(thm)],[f6341])).
% 3.60/0.85 fof(f6351,plain,(
% 3.60/0.85 ~is_int(min)|spl0_122),
% 3.60/0.85 inference(resolution,[status(thm)],[f6343,f735])).
% 3.60/0.85 fof(f6352,plain,(
% 3.60/0.85 $false|spl0_122),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f6351,f732])).
% 3.60/0.85 fof(f6353,plain,(
% 3.60/0.85 spl0_122),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f6352])).
% 3.60/0.85 fof(f8027,plain,(
% 3.60/0.85 spl0_132 <=> ~X0=one_one_nat),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f8028,plain,(
% 3.60/0.85 ![X0]: (~X0=one_one_nat|~spl0_132)),
% 3.60/0.85 inference(component_clause,[status(thm)],[f8027])).
% 3.60/0.85 fof(f8043,plain,(
% 3.60/0.85 $false|~spl0_132),
% 3.60/0.85 inference(destructive_equality_resolution,[status(esa)],[f8028])).
% 3.60/0.85 fof(f8044,plain,(
% 3.60/0.85 ~spl0_132),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f8043])).
% 3.60/0.85 fof(f8129,plain,(
% 3.60/0.85 $false|spl0_48),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f3674,f732])).
% 3.60/0.85 fof(f8130,plain,(
% 3.60/0.85 spl0_48),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f8129])).
% 3.60/0.85 fof(f8210,plain,(
% 3.60/0.85 ~is_int(one_one_int)|~is_int(t)|ord_less_int(one_one_int,t)|one_one_int=t),
% 3.60/0.85 inference(resolution,[status(thm)],[f798,f746])).
% 3.60/0.85 fof(f8211,plain,(
% 3.60/0.85 ~spl0_14|~spl0_29|spl0_4|spl0_0),
% 3.60/0.85 inference(split_clause,[status(thm)],[f8210,f2596,f3415,f2422,f2407])).
% 3.60/0.85 fof(f8217,plain,(
% 3.60/0.85 spl0_166 <=> is_int(sk0_6)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f8219,plain,(
% 3.60/0.85 ~is_int(sk0_6)|spl0_166),
% 3.60/0.85 inference(component_clause,[status(thm)],[f8217])).
% 3.60/0.85 fof(f8228,plain,(
% 3.60/0.85 spl0_169 <=> is_int(sk0_5)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f8230,plain,(
% 3.60/0.85 ~is_int(sk0_5)|spl0_169),
% 3.60/0.85 inference(component_clause,[status(thm)],[f8228])).
% 3.60/0.85 fof(f8239,plain,(
% 3.60/0.85 spl0_172 <=> is_int(s)),
% 3.60/0.85 introduced(split_symbol_definition)).
% 3.60/0.85 fof(f8241,plain,(
% 3.60/0.85 ~is_int(s)|spl0_172),
% 3.60/0.85 inference(component_clause,[status(thm)],[f8239])).
% 3.60/0.85 fof(f8256,plain,(
% 3.60/0.85 $false|spl0_172),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f8241,f744])).
% 3.60/0.85 fof(f8257,plain,(
% 3.60/0.85 spl0_172),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f8256])).
% 3.60/0.85 fof(f8258,plain,(
% 3.60/0.85 $false|spl0_169),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f8230,f1328])).
% 3.60/0.85 fof(f8259,plain,(
% 3.60/0.85 spl0_169),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f8258])).
% 3.60/0.85 fof(f8260,plain,(
% 3.60/0.85 $false|spl0_166),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f8219,f1335])).
% 3.60/0.85 fof(f8261,plain,(
% 3.60/0.85 spl0_166),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f8260])).
% 3.60/0.85 fof(f8262,plain,(
% 3.60/0.85 plus_plus_int(power_power_int(sk0_2,number_number_of_nat(bit0(bit1(zero_zero_int)))),power_power_int(sk0_3,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f2434])).
% 3.60/0.85 fof(f8263,plain,(
% 3.60/0.85 plus_plus_int(power_power_int(sk0_2,number_number_of_nat(bit0(one_one_int))),power_power_int(sk0_3,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2943,f8262])).
% 3.60/0.85 fof(f8264,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_2,sk0_2),power_power_int(sk0_3,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f3019,f8263])).
% 3.60/0.85 fof(f8265,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_2,sk0_2),power_power_int(sk0_3,number_number_of_nat(bit0(bit1(zero_zero_int)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f8264])).
% 3.60/0.85 fof(f8266,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_2,sk0_2),power_power_int(sk0_3,number_number_of_nat(bit0(one_one_int))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2943,f8265])).
% 3.60/0.85 fof(f8267,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_2,sk0_2),times_times_int(sk0_3,sk0_3))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f3019,f8266])).
% 3.60/0.85 fof(f8268,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_2,sk0_2),times_times_int(sk0_3,sk0_3))=plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m))|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f986,f8267])).
% 3.60/0.85 fof(f8269,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_2,sk0_2),times_times_int(sk0_3,sk0_3))=plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls))))))|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f968,f8268])).
% 3.60/0.85 fof(f8270,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_2,sk0_2),times_times_int(sk0_3,sk0_3))=plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(zero_zero_int))))))|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f8269])).
% 3.60/0.85 fof(f8271,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_2,sk0_2),times_times_int(sk0_3,sk0_3))=plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(one_one_int)))))|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2943,f8270])).
% 3.60/0.85 fof(f8272,plain,(
% 3.60/0.85 $false|~spl0_16|~spl0_7),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f8271,f3360])).
% 3.60/0.85 fof(f8273,plain,(
% 3.60/0.85 ~spl0_16|~spl0_7),
% 3.60/0.85 inference(contradiction_clause,[status(thm)],[f8272])).
% 3.60/0.85 fof(f8274,plain,(
% 3.60/0.85 plus_plus_int(power_power_int(sk0_0,number_number_of_nat(bit0(bit1(zero_zero_int)))),power_power_int(sk0_1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f2419])).
% 3.60/0.85 fof(f8275,plain,(
% 3.60/0.85 plus_plus_int(power_power_int(sk0_0,number_number_of_nat(bit0(one_one_int))),power_power_int(sk0_1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2943,f8274])).
% 3.60/0.85 fof(f8276,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_0,sk0_0),power_power_int(sk0_1,number_number_of_nat(bit0(bit1(pls)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f3019,f8275])).
% 3.60/0.85 fof(f8277,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_0,sk0_0),power_power_int(sk0_1,number_number_of_nat(bit0(bit1(zero_zero_int)))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f8276])).
% 3.60/0.85 fof(f8278,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_0,sk0_0),power_power_int(sk0_1,number_number_of_nat(bit0(one_one_int))))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2943,f8277])).
% 3.60/0.85 fof(f8279,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_0,sk0_0),times_times_int(sk0_1,sk0_1))=plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f3019,f8278])).
% 3.60/0.85 fof(f8280,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_0,sk0_0),times_times_int(sk0_1,sk0_1))=plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m))|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f986,f8279])).
% 3.60/0.85 fof(f8281,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_0,sk0_0),times_times_int(sk0_1,sk0_1))=plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls))))))|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f968,f8280])).
% 3.60/0.85 fof(f8282,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_0,sk0_0),times_times_int(sk0_1,sk0_1))=plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(zero_zero_int))))))|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f1470,f8281])).
% 3.60/0.85 fof(f8283,plain,(
% 3.60/0.85 plus_plus_int(times_times_int(sk0_0,sk0_0),times_times_int(sk0_1,sk0_1))=plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(one_one_int)))))|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_demodulation,[status(thm)],[f2943,f8282])).
% 3.60/0.85 fof(f8284,plain,(
% 3.60/0.85 $false|~spl0_16|~spl0_3),
% 3.60/0.85 inference(forward_subsumption_resolution,[status(thm)],[f8283,f3360])).
% 3.60/0.86 fof(f8285,plain,(
% 3.60/0.86 ~spl0_16|~spl0_3),
% 3.60/0.86 inference(contradiction_clause,[status(thm)],[f8284])).
% 3.60/0.86 fof(f8286,plain,(
% 3.60/0.86 $false),
% 3.60/0.86 inference(sat_refutation,[status(thm)],[f2421,f2436,f2541,f2558,f2946,f2995,f3074,f3459,f3469,f3595,f3746,f4304,f4537,f5119,f6353,f8044,f8130,f8211,f8257,f8259,f8261,f8273,f8285])).
% 3.60/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 3.60/0.88 % Elapsed time: 0.527323 seconds
% 3.60/0.88 % CPU time: 3.771502 seconds
% 3.60/0.88 % Total memory used: 142.036 MB
% 3.60/0.88 % Net memory used: 140.182 MB
%------------------------------------------------------------------------------