0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.09/0.31 % Computer : n013.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Tue Aug 9 02:58:00 EDT 2022 0.09/0.31 % CPUTime : 0.15/0.33 % Drodi V3.3.3 0.15/0.40 % Refutation found 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid 0.15/0.40 % SZS output start CNFRefutation for theBenchmark 0.15/0.40 fof(f34,axiom,( 0.15/0.40 rdn_translate(n0,rdn_pos(rdnn(n0))) ), 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.15/0.40 fof(f350,axiom,( 0.15/0.40 (! [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)) ) )), 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.15/0.40 fof(f362,axiom,( 0.15/0.40 (! [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) ) )), 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.15/0.40 fof(f394,axiom,( 0.15/0.40 rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)) ), 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.15/0.40 fof(f402,conjecture,( 0.15/0.40 (? [X] : sum(X,X,X) )), 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.15/0.40 fof(f403,negated_conjecture,( 0.15/0.40 ~((? [X] : sum(X,X,X) ))), 0.15/0.40 inference(negated_conjecture,[status(cth)],[f402])). 0.15/0.40 fof(f437,plain,( 0.15/0.40 rdn_translate(n0,rdn_pos(rdnn(n0)))), 0.15/0.40 inference(cnf_transformation,[status(esa)],[f34])). 0.15/0.40 fof(f796,plain,( 0.15/0.40 ![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)))), 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f350])). 0.15/0.40 fof(f797,plain,( 0.15/0.40 ![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)))), 0.15/0.40 inference(miniscoping,[status(esa)],[f796])). 0.15/0.40 fof(f798,plain,( 0.15/0.40 ![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)))), 0.15/0.40 inference(cnf_transformation,[status(esa)],[f797])). 0.15/0.40 fof(f812,plain,( 0.15/0.40 ![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))), 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f362])). 0.15/0.40 fof(f813,plain,( 0.15/0.40 ![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))), 0.15/0.40 inference(miniscoping,[status(esa)],[f812])). 0.15/0.40 fof(f814,plain,( 0.15/0.40 ![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))), 0.15/0.40 inference(cnf_transformation,[status(esa)],[f813])). 0.15/0.40 fof(f853,plain,( 0.15/0.40 rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0))), 0.15/0.40 inference(cnf_transformation,[status(esa)],[f394])). 0.15/0.40 fof(f861,plain,( 0.15/0.40 (![X]: ~sum(X,X,X))), 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f403])). 0.15/0.40 fof(f862,plain,( 0.15/0.40 ![X0]: (~sum(X0,X0,X0))), 0.15/0.40 inference(cnf_transformation,[status(esa)],[f861])). 0.15/0.40 fof(f1076,plain,( 0.15/0.40 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X0,rdn_pos(X2))|~rdn_add_with_carry(rdnn(n0),X1,X2,X3)|~rdn_translate(X0,rdn_pos(X3)))), 0.15/0.40 inference(resolution,[status(thm)],[f814,f862])). 0.15/0.40 fof(f1314,plain,( 0.15/0.40 ![X0,X1,X2,X3,X4]: (~rdn_translate(X0,rdn_pos(rdnn(X1)))|~rdn_translate(X0,rdn_pos(rdnn(X2)))|~rdn_translate(X0,rdn_pos(rdnn(X3)))|~rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))|~rdn_digit_add(rdnn(X4),rdnn(n0),rdnn(X3),rdnn(n0)))), 0.15/0.40 inference(resolution,[status(thm)],[f1076,f798])). 0.15/0.40 fof(f2698,plain,( 0.15/0.40 ![X0]: (~rdn_translate(X0,rdn_pos(rdnn(n0)))|~rdn_translate(X0,rdn_pos(rdnn(n0)))|~rdn_translate(X0,rdn_pos(rdnn(n0))))), 0.15/0.40 inference(resolution,[status(thm)],[f1314,f853])). 0.15/0.40 fof(f2699,plain,( 0.15/0.40 ![X0]: (~rdn_translate(X0,rdn_pos(rdnn(n0))))), 0.15/0.40 inference(duplicate_literals_removal,[status(esa)],[f2698])). 0.15/0.40 fof(f2780,plain,( 0.15/0.40 $false), 0.15/0.40 inference(backward_subsumption_resolution,[status(thm)],[f437,f2699])). 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p 0.15/0.41 % Elapsed time: 0.098612 seconds 0.15/0.41 % CPU time: 0.269989 seconds 0.15/0.41 % Memory used: 43.016 MB 0.15/0.41 EOF