%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM334+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 : n008.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 0.12s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM334+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
% 0.10/0.34 % Computer : n008.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 02:23:25 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.47 % Refutation found
% 0.12/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.47 fof(f3,axiom,(
% 0.12/0.47 rdn_translate(n2,rdn_pos(rdnn(n2))) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f6,axiom,(
% 0.12/0.47 rdn_translate(n5,rdn_pos(rdnn(n5))) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f8,axiom,(
% 0.12/0.47 rdn_translate(n7,rdn_pos(rdnn(n7))) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f287,axiom,(
% 0.12/0.47 (! [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) ) )),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f296,axiom,(
% 0.12/0.47 (! [X,Y,Z] :( sum(Y,Z,X)<=> difference(X,Y,Z) ) )),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f297,axiom,(
% 0.12/0.47 (! [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)) ) )),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f354,axiom,(
% 0.12/0.47 rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(n7),rdnn(n0)) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f372,axiom,(
% 0.12/0.47 rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f402,conjecture,(
% 0.12/0.47 difference(n7,n5,n2) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f403,negated_conjecture,(
% 0.12/0.47 ~(difference(n7,n5,n2) )),
% 0.12/0.47 inference(negated_conjecture,[status(cth)],[f402])).
% 0.12/0.47 fof(f406,plain,(
% 0.12/0.47 rdn_translate(n2,rdn_pos(rdnn(n2)))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.47 fof(f409,plain,(
% 0.12/0.47 rdn_translate(n5,rdn_pos(rdnn(n5)))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.47 fof(f411,plain,(
% 0.12/0.47 rdn_translate(n7,rdn_pos(rdnn(n7)))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.47 fof(f716,plain,(
% 0.12/0.47 ![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))),
% 0.12/0.47 inference(pre_NNF_transformation,[status(thm)],[f287])).
% 0.12/0.47 fof(f717,plain,(
% 0.12/0.47 ![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))),
% 0.12/0.47 inference(miniscoping,[status(thm)],[f716])).
% 0.12/0.47 fof(f718,plain,(
% 0.12/0.47 ![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))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f717])).
% 0.12/0.47 fof(f743,plain,(
% 0.12/0.47 ![X,Y,Z]: ((~sum(Y,Z,X)|difference(X,Y,Z))&(sum(Y,Z,X)|~difference(X,Y,Z)))),
% 0.12/0.47 inference(NNF_transformation,[status(thm)],[f296])).
% 0.12/0.47 fof(f744,plain,(
% 0.12/0.47 (![X,Y,Z]: (~sum(Y,Z,X)|difference(X,Y,Z)))&(![X,Y,Z]: (sum(Y,Z,X)|~difference(X,Y,Z)))),
% 0.12/0.47 inference(miniscoping,[status(thm)],[f743])).
% 0.12/0.47 fof(f745,plain,(
% 0.12/0.47 ![X0,X1,X2]: (~sum(X0,X1,X2)|difference(X2,X0,X1))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f744])).
% 0.12/0.47 fof(f747,plain,(
% 0.12/0.47 ![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)))),
% 0.12/0.47 inference(pre_NNF_transformation,[status(thm)],[f297])).
% 0.12/0.47 fof(f748,plain,(
% 0.12/0.47 ![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)))),
% 0.12/0.47 inference(miniscoping,[status(thm)],[f747])).
% 0.12/0.47 fof(f749,plain,(
% 0.12/0.47 ![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)))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f748])).
% 0.12/0.47 fof(f813,plain,(
% 0.12/0.47 rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(n7),rdnn(n0))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f354])).
% 0.12/0.48 fof(f831,plain,(
% 0.12/0.48 rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f372])).
% 0.12/0.48 fof(f861,plain,(
% 0.12/0.48 ~difference(n7,n5,n2)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f403])).
% 0.12/0.48 fof(f1017,plain,(
% 0.12/0.48 ![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))),
% 0.12/0.48 inference(resolution,[status(thm)],[f749,f718])).
% 0.12/0.48 fof(f1142,plain,(
% 0.12/0.48 ![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)))|difference(X6,X4,X5))),
% 0.12/0.48 inference(resolution,[status(thm)],[f1017,f745])).
% 0.12/0.48 fof(f1144,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))|~rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))|~rdn_translate(n5,rdn_pos(rdnn(X0)))|~rdn_translate(n2,rdn_pos(rdnn(X1)))|~rdn_translate(n7,rdn_pos(rdnn(X3))))),
% 0.12/0.48 inference(resolution,[status(thm)],[f1142,f861])).
% 0.12/0.48 fof(f1146,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))|~rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(n7),rdnn(n0))|~rdn_translate(n5,rdn_pos(rdnn(X0)))|~rdn_translate(n2,rdn_pos(rdnn(X1))))),
% 0.12/0.48 inference(resolution,[status(thm)],[f1144,f411])).
% 0.12/0.48 fof(f1147,plain,(
% 0.12/0.48 ![X0,X1]: (~rdn_digit_add(rdnn(n5),rdnn(X0),rdnn(X1),rdnn(n0))|~rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n7),rdnn(n0))|~rdn_translate(n2,rdn_pos(rdnn(X0))))),
% 0.12/0.48 inference(resolution,[status(thm)],[f1146,f409])).
% 0.12/0.48 fof(f1149,plain,(
% 0.12/0.48 ![X0]: (~rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(X0),rdnn(n0))|~rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(n0)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f1147,f406])).
% 0.12/0.48 fof(f1151,plain,(
% 0.12/0.48 ~rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0))),
% 0.12/0.48 inference(resolution,[status(thm)],[f1149,f813])).
% 0.12/0.48 fof(f1152,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1151,f831])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.50 % Elapsed time: 0.150776 seconds
% 0.12/0.50 % CPU time: 0.782105 seconds
% 0.12/0.50 % Total memory used: 121.189 MB
% 0.12/0.50 % Net memory used: 120.074 MB
%------------------------------------------------------------------------------