%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM332+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:42:33 PM UTC 2026
% Result : Theorem 253.80s 32.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM332+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 02:22:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 253.80/32.47 % Refutation found
% 253.80/32.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 253.80/32.47 % SZS output start CNFRefutation for theBenchmark
% 253.80/32.47 fof(f3,axiom,(
% 253.80/32.47 rdn_translate(n2,rdn_pos(rdnn(n2))) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f4,axiom,(
% 253.80/32.47 rdn_translate(n3,rdn_pos(rdnn(n3))) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f6,axiom,(
% 253.80/32.47 rdn_translate(n5,rdn_pos(rdnn(n5))) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f7,axiom,(
% 253.80/32.47 rdn_translate(n6,rdn_pos(rdnn(n6))) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f10,axiom,(
% 253.80/32.47 rdn_translate(n9,rdn_pos(rdnn(n9))) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f12,axiom,(
% 253.80/32.47 rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f287,axiom,(
% 253.80/32.47 (! [X,Y,Z,RDN_X,RDN_Y,RDN_Z] :( ( rdn_translate(X,rdn_pos(RDN_X))& rdn_translate(Y,rdn_pos(RDN_Y))& rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z)& rdn_translate(Z,rdn_pos(RDN_Z)) )=> sum(X,Y,Z) ) )),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f293,axiom,(
% 253.80/32.47 (! [X,Y,Z1,Z2] :( ( sum(X,Y,Z1)& sum(X,Y,Z2) )=> Z1 = Z2 ) )),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f297,axiom,(
% 253.80/32.47 (! [C,D1,D2,RD,ID] :( ( rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(n0))& rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(n0)) )=> rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdnn(RD)) ) )),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f298,axiom,(
% 253.80/32.47 (! [C,D1,D2,ID,RD,IC1,IC2] :( ( rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(IC1))& rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(IC2))& rdn_digit_add(rdnn(IC1),rdnn(IC2),rdnn(n1),rdnn(n0)) )=> rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdn(rdnn(RD),rdnn(n1))) ) )),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f312,axiom,(
% 253.80/32.47 rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f325,axiom,(
% 253.80/32.47 rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f331,axiom,(
% 253.80/32.47 rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1)) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f338,axiom,(
% 253.80/32.47 rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0)) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f352,axiom,(
% 253.80/32.47 rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f358,axiom,(
% 253.80/32.47 rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1)) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f392,axiom,(
% 253.80/32.47 rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0)) ),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f402,conjecture,(
% 253.80/32.47 (! [Z1,Z2,Z3,Z4] :( ( sum(n2,n3,Z1)& sum(Z1,n6,Z2)& sum(n3,n6,Z3)& sum(n2,Z3,Z4) )=> Z2 = Z4 ) )),
% 253.80/32.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 253.80/32.47 fof(f403,negated_conjecture,(
% 253.80/32.47 ~((! [Z1,Z2,Z3,Z4] :( ( sum(n2,n3,Z1)& sum(Z1,n6,Z2)& sum(n3,n6,Z3)& sum(n2,Z3,Z4) )=> Z2 = Z4 ) ))),
% 253.80/32.47 inference(negated_conjecture,[status(cth)],[f402])).
% 253.80/32.47 fof(f406,plain,(
% 253.80/32.47 rdn_translate(n2,rdn_pos(rdnn(n2)))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f3])).
% 253.80/32.47 fof(f407,plain,(
% 253.80/32.47 rdn_translate(n3,rdn_pos(rdnn(n3)))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f4])).
% 253.80/32.47 fof(f409,plain,(
% 253.80/32.47 rdn_translate(n5,rdn_pos(rdnn(n5)))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f6])).
% 253.80/32.47 fof(f410,plain,(
% 253.80/32.47 rdn_translate(n6,rdn_pos(rdnn(n6)))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f7])).
% 253.80/32.47 fof(f413,plain,(
% 253.80/32.47 rdn_translate(n9,rdn_pos(rdnn(n9)))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f10])).
% 253.80/32.47 fof(f415,plain,(
% 253.80/32.47 rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1))))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f12])).
% 253.80/32.47 fof(f716,plain,(
% 253.80/32.47 ![X,Y,Z,RDN_X,RDN_Y,RDN_Z]: ((((~rdn_translate(X,rdn_pos(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|~rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z))|~rdn_translate(Z,rdn_pos(RDN_Z)))|sum(X,Y,Z))),
% 253.80/32.47 inference(pre_NNF_transformation,[status(thm)],[f287])).
% 253.80/32.47 fof(f717,plain,(
% 253.80/32.47 ![X,Y,Z]: ((![RDN_Z]: ((![RDN_X,RDN_Y]: ((~rdn_translate(X,rdn_pos(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|~rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z)))|~rdn_translate(Z,rdn_pos(RDN_Z))))|sum(X,Y,Z))),
% 253.80/32.47 inference(miniscoping,[status(thm)],[f716])).
% 253.80/32.47 fof(f718,plain,(
% 253.80/32.47 ![X0,X1,X2,X3,X4,X5]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X2,rdn_pos(X3))|~rdn_add_with_carry(rdnn(n0),X1,X3,X4)|~rdn_translate(X5,rdn_pos(X4))|sum(X0,X2,X5))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f717])).
% 253.80/32.47 fof(f734,plain,(
% 253.80/32.47 ![X,Y,Z1,Z2]: ((~sum(X,Y,Z1)|~sum(X,Y,Z2))|Z1=Z2)),
% 253.80/32.47 inference(pre_NNF_transformation,[status(thm)],[f293])).
% 253.80/32.47 fof(f735,plain,(
% 253.80/32.47 ![Z1,Z2]: ((![X,Y]: (~sum(X,Y,Z1)|~sum(X,Y,Z2)))|Z1=Z2)),
% 253.80/32.47 inference(miniscoping,[status(thm)],[f734])).
% 253.80/32.47 fof(f736,plain,(
% 253.80/32.47 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f735])).
% 253.80/32.47 fof(f747,plain,(
% 253.80/32.47 ![C,D1,D2,RD,ID]: ((~rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(n0))|~rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(n0)))|rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdnn(RD)))),
% 253.80/32.47 inference(pre_NNF_transformation,[status(thm)],[f297])).
% 253.80/32.47 fof(f748,plain,(
% 253.80/32.47 ![C,D1,D2,RD]: ((![ID]: (~rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(n0))|~rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(n0))))|rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdnn(RD)))),
% 253.80/32.47 inference(miniscoping,[status(thm)],[f747])).
% 253.80/32.47 fof(f749,plain,(
% 253.80/32.47 ![X0,X1,X2,X3,X4]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))|~rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X4),rdnn(n0))|rdn_add_with_carry(rdnn(X3),rdnn(X0),rdnn(X1),rdnn(X4)))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f748])).
% 253.80/32.47 fof(f750,plain,(
% 253.80/32.47 ![C,D1,D2,ID,RD,IC1,IC2]: (((~rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(IC1))|~rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(IC2)))|~rdn_digit_add(rdnn(IC1),rdnn(IC2),rdnn(n1),rdnn(n0)))|rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdn(rdnn(RD),rdnn(n1))))),
% 253.80/32.47 inference(pre_NNF_transformation,[status(thm)],[f298])).
% 253.80/32.47 fof(f751,plain,(
% 253.80/32.47 ![C,D1,D2,RD]: ((![IC1,IC2]: ((![ID]: (~rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(IC1))|~rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(IC2))))|~rdn_digit_add(rdnn(IC1),rdnn(IC2),rdnn(n1),rdnn(n0))))|rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdn(rdnn(RD),rdnn(n1))))),
% 253.80/32.47 inference(miniscoping,[status(thm)],[f750])).
% 253.80/32.47 fof(f752,plain,(
% 253.80/32.47 ![X0,X1,X2,X3,X4,X5,X6]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))|~rdn_digit_add(rdnn(X2),rdnn(X4),rdnn(X5),rdnn(X6))|~rdn_digit_add(rdnn(X3),rdnn(X6),rdnn(n1),rdnn(n0))|rdn_add_with_carry(rdnn(X4),rdnn(X0),rdnn(X1),rdn(rdnn(X5),rdnn(n1))))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f751])).
% 253.80/32.47 fof(f771,plain,(
% 253.80/32.47 rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f312])).
% 253.80/32.47 fof(f784,plain,(
% 253.80/32.47 rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f325])).
% 253.80/32.47 fof(f790,plain,(
% 253.80/32.47 rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f331])).
% 253.80/32.47 fof(f797,plain,(
% 253.80/32.47 rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f338])).
% 253.80/32.47 fof(f811,plain,(
% 253.80/32.47 rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f352])).
% 253.80/32.47 fof(f817,plain,(
% 253.80/32.47 rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f358])).
% 253.80/32.47 fof(f851,plain,(
% 253.80/32.47 rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0))),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f392])).
% 253.80/32.47 fof(f861,plain,(
% 253.80/32.47 (?[Z1,Z2,Z3,Z4]: ((((sum(n2,n3,Z1)&sum(Z1,n6,Z2))&sum(n3,n6,Z3))&sum(n2,Z3,Z4))&~Z2=Z4))),
% 253.80/32.47 inference(pre_NNF_transformation,[status(thm)],[f403])).
% 253.80/32.47 fof(f862,plain,(
% 253.80/32.47 ?[Z2,Z4]: ((?[Z3]: (((?[Z1]: (sum(n2,n3,Z1)&sum(Z1,n6,Z2)))&sum(n3,n6,Z3))&sum(n2,Z3,Z4)))&~Z2=Z4)),
% 253.80/32.47 inference(miniscoping,[status(thm)],[f861])).
% 253.80/32.47 fof(f863,plain,(
% 253.80/32.47 ((((sum(n2,n3,sK3_skl)&sum(sK3_skl,n6,sK0_skl))&sum(n3,n6,sK2_skl))&sum(n2,sK2_skl,sK1_skl))&~sK0_skl=sK1_skl)),
% 253.80/32.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Z2,sK0_skl),skolemize(Z4,sK1_skl),skolemize(Z3,sK2_skl),skolemize(Z1,sK3_skl)],[f862])).
% 253.80/32.47 fof(f864,plain,(
% 253.80/32.47 sum(n2,n3,sK3_skl)),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f863])).
% 253.80/32.47 fof(f865,plain,(
% 253.80/32.47 sum(sK3_skl,n6,sK0_skl)),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f863])).
% 253.80/32.47 fof(f866,plain,(
% 253.80/32.47 sum(n3,n6,sK2_skl)),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f863])).
% 253.80/32.47 fof(f867,plain,(
% 253.80/32.47 sum(n2,sK2_skl,sK1_skl)),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f863])).
% 253.80/32.47 fof(f868,plain,(
% 253.80/32.47 ~sK0_skl=sK1_skl),
% 253.80/32.47 inference(cnf_transformation,[status(thm)],[f863])).
% 253.80/32.47 fof(f871,plain,(
% 253.80/32.47 ![X0]: (~sum(n3,n6,X0)|X0=sK2_skl)),
% 253.80/32.47 inference(resolution,[status(thm)],[f736,f866])).
% 253.80/32.47 fof(f872,plain,(
% 253.80/32.47 ![X0]: (~sum(sK3_skl,n6,X0)|X0=sK0_skl)),
% 253.80/32.47 inference(resolution,[status(thm)],[f736,f865])).
% 253.80/32.47 fof(f873,plain,(
% 253.80/32.47 ![X0]: (~sum(n2,sK2_skl,X0)|X0=sK1_skl)),
% 253.80/32.47 inference(resolution,[status(thm)],[f736,f867])).
% 253.80/32.47 fof(f874,plain,(
% 253.80/32.47 ![X0]: (~sum(n2,n3,X0)|X0=sK3_skl)),
% 253.80/32.47 inference(resolution,[status(thm)],[f736,f864])).
% 253.80/32.47 fof(f1772,plain,(
% 253.80/32.47 ![X0,X1,X2,X3,X4,X5,X6]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))|~rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))|~rdn_translate(X4,rdn_pos(rdnn(X0)))|~rdn_translate(X5,rdn_pos(rdnn(X1)))|~rdn_translate(X6,rdn_pos(rdnn(X3)))|sum(X4,X5,X6))),
% 253.80/32.47 inference(resolution,[status(thm)],[f749,f718])).
% 253.80/32.47 fof(f1812,plain,(
% 253.80/32.47 ![X0,X1,X2,X3,X4]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n1))|~rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X4),rdnn(n0))|rdn_add_with_carry(rdnn(X3),rdnn(X0),rdnn(X1),rdn(rdnn(X4),rdnn(n1))))),
% 253.80/32.47 inference(resolution,[status(thm)],[f771,f752])).
% 253.80/32.47 fof(f2311,plain,(
% 253.80/32.47 ![X0,X1,X2,X3,X4]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n9),rdnn(n0))|~rdn_translate(X2,rdn_pos(rdnn(X0)))|~rdn_translate(X3,rdn_pos(rdnn(X1)))|~rdn_translate(X4,rdn_pos(rdnn(n9)))|sum(X2,X3,X4))),
% 253.80/32.47 inference(resolution,[status(thm)],[f1772,f851])).
% 253.80/32.47 fof(f2314,plain,(
% 253.80/32.47 ![X0,X1,X2,X3,X4]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))|~rdn_translate(X2,rdn_pos(rdnn(X0)))|~rdn_translate(X3,rdn_pos(rdnn(X1)))|~rdn_translate(X4,rdn_pos(rdnn(n5)))|sum(X2,X3,X4))),
% 253.80/32.47 inference(resolution,[status(thm)],[f1772,f811])).
% 253.80/32.47 fof(f2349,plain,(
% 253.80/32.47 ![X0,X1,X2,X3,X4,X5,X6]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n1))|~rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))|~rdn_translate(X4,rdn_pos(rdnn(X0)))|~rdn_translate(X5,rdn_pos(rdnn(X1)))|~rdn_translate(X6,rdn_pos(rdn(rdnn(X3),rdnn(n1))))|sum(X4,X5,X6))),
% 253.80/32.47 inference(resolution,[status(thm)],[f1812,f718])).
% 253.80/32.47 fof(f2983,plain,(
% 253.80/32.47 ![X0,X1,X2,X3]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n9),rdnn(n0))|~rdn_translate(X2,rdn_pos(rdnn(X0)))|~rdn_translate(X3,rdn_pos(rdnn(X1)))|sum(X2,X3,n9))),
% 253.80/32.47 inference(resolution,[status(thm)],[f2311,f413])).
% 253.80/32.47 fof(f2986,plain,(
% 253.80/32.47 ![X0,X1,X2,X3]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))|~rdn_translate(X2,rdn_pos(rdnn(X0)))|~rdn_translate(X3,rdn_pos(rdnn(X1)))|sum(X2,X3,n5))),
% 253.80/32.47 inference(resolution,[status(thm)],[f2314,f409])).
% 253.80/32.47 fof(f3068,plain,(
% 253.80/32.47 ![X0,X1,X2,X3,X4]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n1),rdnn(n1))|~rdn_translate(X2,rdn_pos(rdnn(X0)))|~rdn_translate(X3,rdn_pos(rdnn(X1)))|~rdn_translate(X4,rdn_pos(rdn(rdnn(n1),rdnn(n1))))|sum(X2,X3,X4))),
% 253.80/32.47 inference(resolution,[status(thm)],[f2349,f771])).
% 253.80/32.47 fof(f4210,plain,(
% 253.80/32.47 ![X0,X1]: (~rdn_translate(X0,rdn_pos(rdnn(n3)))|~rdn_translate(X1,rdn_pos(rdnn(n6)))|sum(X0,X1,n9))),
% 253.80/32.47 inference(resolution,[status(thm)],[f2983,f797])).
% 253.80/32.47 fof(f4246,plain,(
% 253.80/32.47 ![X0,X1]: (~rdn_translate(X0,rdn_pos(rdnn(n2)))|~rdn_translate(X1,rdn_pos(rdnn(n3)))|sum(X0,X1,n5))),
% 253.80/32.47 inference(resolution,[status(thm)],[f2986,f784])).
% 253.80/32.47 fof(f4389,plain,(
% 253.80/32.47 ![X0,X1,X2,X3]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n1),rdnn(n1))|~rdn_translate(X2,rdn_pos(rdnn(X0)))|~rdn_translate(X3,rdn_pos(rdnn(X1)))|sum(X2,X3,n11))),
% 253.80/32.47 inference(resolution,[status(thm)],[f3068,f415])).
% 253.80/32.47 fof(f8362,plain,(
% 253.80/32.47 ![X0]: (~rdn_translate(X0,rdn_pos(rdnn(n3)))|sum(X0,n6,n9))),
% 253.80/32.47 inference(resolution,[status(thm)],[f4210,f410])).
% 237.99/32.58 fof(f8370,plain,(
% 237.99/32.58 sum(n3,n6,n9)),
% 237.99/32.58 inference(resolution,[status(thm)],[f8362,f407])).
% 237.99/32.58 fof(f8374,plain,(
% 237.99/32.58 n9=sK2_skl),
% 237.99/32.58 inference(resolution,[status(thm)],[f8370,f871])).
% 237.99/32.58 fof(f8554,plain,(
% 237.99/32.58 rdn_digit_add(rdnn(n2),rdnn(sK2_skl),rdnn(n1),rdnn(n1))),
% 237.99/32.58 inference(backward_demodulation,[status(thm)],[f8374,f790])).
% 237.99/32.58 fof(f8620,plain,(
% 237.99/32.58 rdn_translate(n9,rdn_pos(rdnn(sK2_skl)))),
% 237.99/32.58 inference(backward_demodulation,[status(thm)],[f8374,f413])).
% 237.99/32.58 fof(f8650,plain,(
% 237.99/32.58 rdn_translate(sK2_skl,rdn_pos(rdnn(sK2_skl)))),
% 237.99/32.58 inference(forward_demodulation,[status(thm)],[f8374,f8620])).
% 237.99/32.58 fof(f9554,plain,(
% 237.99/32.58 ![X0]: (~rdn_translate(X0,rdn_pos(rdnn(n2)))|sum(X0,n3,n5))),
% 237.99/32.58 inference(resolution,[status(thm)],[f4246,f407])).
% 237.99/32.58 fof(f10161,plain,(
% 237.99/32.58 ![X0,X1]: (~rdn_translate(X0,rdn_pos(rdnn(n2)))|~rdn_translate(X1,rdn_pos(rdnn(sK2_skl)))|sum(X0,X1,n11))),
% 237.99/32.58 inference(resolution,[status(thm)],[f4389,f8554])).
% 237.99/32.58 fof(f11125,plain,(
% 237.99/32.58 sum(n2,n3,n5)),
% 237.99/32.58 inference(resolution,[status(thm)],[f9554,f406])).
% 237.99/32.58 fof(f11129,plain,(
% 237.99/32.58 n5=sK3_skl),
% 237.99/32.58 inference(resolution,[status(thm)],[f11125,f874])).
% 237.99/32.58 fof(f11552,plain,(
% 237.99/32.58 rdn_digit_add(rdnn(sK3_skl),rdnn(n6),rdnn(n1),rdnn(n1))),
% 237.99/32.58 inference(backward_demodulation,[status(thm)],[f11129,f817])).
% 237.99/32.58 fof(f11633,plain,(
% 237.99/32.58 rdn_translate(n5,rdn_pos(rdnn(sK3_skl)))),
% 237.99/32.58 inference(backward_demodulation,[status(thm)],[f11129,f409])).
% 237.99/32.58 fof(f11815,plain,(
% 237.99/32.58 rdn_translate(sK3_skl,rdn_pos(rdnn(sK3_skl)))),
% 237.99/32.58 inference(forward_demodulation,[status(thm)],[f11129,f11633])).
% 237.99/32.58 fof(f11897,plain,(
% 237.99/32.58 ![X0,X1]: (~rdn_translate(X0,rdn_pos(rdnn(sK3_skl)))|~rdn_translate(X1,rdn_pos(rdnn(n6)))|sum(X0,X1,n11))),
% 237.99/32.58 inference(resolution,[status(thm)],[f11552,f4389])).
% 237.99/32.58 fof(f14734,plain,(
% 237.99/32.58 ![X0]: (~rdn_translate(X0,rdn_pos(rdnn(sK2_skl)))|sum(n2,X0,n11))),
% 237.99/32.58 inference(resolution,[status(thm)],[f10161,f406])).
% 237.99/32.58 fof(f15583,plain,(
% 237.99/32.58 ![X0]: (~rdn_translate(X0,rdn_pos(rdnn(sK3_skl)))|sum(X0,n6,n11))),
% 237.99/32.58 inference(resolution,[status(thm)],[f11897,f410])).
% 237.99/32.58 fof(f20933,plain,(
% 237.99/32.58 sum(n2,sK2_skl,n11)),
% 237.99/32.58 inference(resolution,[status(thm)],[f14734,f8650])).
% 237.99/32.58 fof(f20941,plain,(
% 237.99/32.58 n11=sK1_skl),
% 237.99/32.58 inference(resolution,[status(thm)],[f20933,f873])).
% 237.99/32.58 fof(f21515,plain,(
% 237.99/32.58 ![X0]: (~rdn_translate(X0,rdn_pos(rdnn(sK3_skl)))|sum(X0,n6,sK1_skl))),
% 237.99/32.58 inference(forward_demodulation,[status(thm)],[f20941,f15583])).
% 237.99/32.58 fof(f21516,plain,(
% 237.99/32.58 sum(sK3_skl,n6,sK1_skl)),
% 237.99/32.58 inference(resolution,[status(thm)],[f21515,f11815])).
% 237.99/32.58 fof(f21518,plain,(
% 237.99/32.58 sK1_skl=sK0_skl),
% 237.99/32.58 inference(resolution,[status(thm)],[f21516,f872])).
% 237.99/32.58 fof(f21522,plain,(
% 237.99/32.58 $false),
% 237.99/32.58 inference(forward_subsumption_resolution,[status(thm)],[f21518,f868])).
% 237.99/32.58 % SZS output end CNFRefutation for theBenchmark.p
% 233.79/32.70 % Elapsed time: 32.317123 seconds
% 233.79/32.70 % CPU time: 255.397661 seconds
% 233.79/32.70 % Total memory used: 1.232 GB
% 233.79/32.70 % Net memory used: 1.169 GB
%------------------------------------------------------------------------------