TSTP Solution File: NUM292+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:30:32 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n012.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Apr 29 20:41:27 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.20/0.42 % Refutation found
% 0.20/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.42 fof(f3,axiom,(
% 0.20/0.42 rdn_translate(n2,rdn_pos(rdnn(n2))) ),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f14,axiom,(
% 0.20/0.42 rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))) ),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f257,axiom,(
% 0.20/0.42 rdn_non_zero_digit(rdnn(n1)) ),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f278,axiom,(
% 0.20/0.42 (! [D,Db,Ob] :( rdn_non_zero(Ob)=> rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob)) ) )),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f279,axiom,(
% 0.20/0.42 (! [X] :( rdn_non_zero_digit(rdnn(X))=> rdn_non_zero(rdnn(X)) ) )),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f281,axiom,(
% 0.20/0.42 (! [X,Y,RDN_X,RDN_Y] :( ( rdn_translate(X,rdn_pos(RDN_X))& rdn_translate(Y,rdn_pos(RDN_Y))& rdn_positive_less(RDN_X,RDN_Y) )=> less(X,Y) ) )),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f402,conjecture,(
% 0.20/0.42 less(n2,n13) ),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f403,negated_conjecture,(
% 0.20/0.42 ~(less(n2,n13) )),
% 0.20/0.42 inference(negated_conjecture,[status(cth)],[f402])).
% 0.20/0.42 fof(f406,plain,(
% 0.20/0.42 rdn_translate(n2,rdn_pos(rdnn(n2)))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.42 fof(f417,plain,(
% 0.20/0.42 rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.42 fof(f660,plain,(
% 0.20/0.42 rdn_non_zero_digit(rdnn(n1))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f257])).
% 0.20/0.42 fof(f686,plain,(
% 0.20/0.42 ![D,Db,Ob]: (~rdn_non_zero(Ob)|rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob)))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f278])).
% 0.20/0.42 fof(f687,plain,(
% 0.20/0.42 ![Ob]: (~rdn_non_zero(Ob)|(![D,Db]: rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob))))),
% 0.20/0.42 inference(miniscoping,[status(esa)],[f686])).
% 0.20/0.42 fof(f688,plain,(
% 0.20/0.42 ![X0,X1,X2]: (~rdn_non_zero(X0)|rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f687])).
% 0.20/0.42 fof(f689,plain,(
% 0.20/0.42 ![X]: (~rdn_non_zero_digit(rdnn(X))|rdn_non_zero(rdnn(X)))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f279])).
% 0.20/0.42 fof(f690,plain,(
% 0.20/0.42 ![X0]: (~rdn_non_zero_digit(rdnn(X0))|rdn_non_zero(rdnn(X0)))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f689])).
% 0.20/0.42 fof(f694,plain,(
% 0.20/0.42 ![X,Y,RDN_X,RDN_Y]: (((~rdn_translate(X,rdn_pos(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|~rdn_positive_less(RDN_X,RDN_Y))|less(X,Y))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f281])).
% 0.20/0.42 fof(f695,plain,(
% 0.20/0.42 ![X,Y]: ((![RDN_X,RDN_Y]: ((~rdn_translate(X,rdn_pos(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|~rdn_positive_less(RDN_X,RDN_Y)))|less(X,Y))),
% 0.20/0.42 inference(miniscoping,[status(esa)],[f694])).
% 0.20/0.42 fof(f696,plain,(
% 0.20/0.42 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X2,rdn_pos(X3))|~rdn_positive_less(X1,X3)|less(X0,X2))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f695])).
% 0.20/0.42 fof(f861,plain,(
% 0.20/0.42 ~less(n2,n13)),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f403])).
% 0.20/0.42 fof(f864,plain,(
% 0.20/0.42 ![X0,X1]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_positive_less(X1,rdn(rdnn(n3),rdnn(n1)))|less(X0,n13))),
% 0.20/0.42 inference(resolution,[status(thm)],[f696,f417])).
% 0.20/0.42 fof(f899,plain,(
% 0.20/0.42 spl0_6 <=> rdn_non_zero(rdnn(n1))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f901,plain,(
% 0.20/0.42 ~rdn_non_zero(rdnn(n1))|spl0_6),
% 0.20/0.42 inference(component_clause,[status(thm)],[f899])).
% 0.20/0.42 fof(f902,plain,(
% 0.20/0.42 spl0_7 <=> ~rdn_translate(X0,rdn_pos(rdnn(X1)))|less(X0,n13)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f903,plain,(
% 0.20/0.42 ![X0,X1]: (~rdn_translate(X0,rdn_pos(rdnn(X1)))|less(X0,n13)|~spl0_7)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f902])).
% 0.20/0.42 fof(f905,plain,(
% 0.20/0.42 ![X0,X1]: (~rdn_non_zero(rdnn(n1))|~rdn_translate(X0,rdn_pos(rdnn(X1)))|less(X0,n13))),
% 0.20/0.42 inference(resolution,[status(thm)],[f688,f864])).
% 0.20/0.42 fof(f906,plain,(
% 0.20/0.42 ~spl0_6|spl0_7),
% 0.20/0.42 inference(split_clause,[status(thm)],[f905,f899,f902])).
% 0.20/0.42 fof(f907,plain,(
% 0.20/0.42 ~rdn_non_zero_digit(rdnn(n1))|spl0_6),
% 0.20/0.42 inference(resolution,[status(thm)],[f901,f690])).
% 0.20/0.42 fof(f908,plain,(
% 0.20/0.42 $false|spl0_6),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f907,f660])).
% 0.20/0.43 fof(f909,plain,(
% 0.20/0.43 spl0_6),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f908])).
% 0.20/0.43 fof(f910,plain,(
% 0.20/0.43 ![X0]: (~rdn_translate(n2,rdn_pos(rdnn(X0)))|~spl0_7)),
% 0.20/0.43 inference(resolution,[status(thm)],[f903,f861])).
% 0.20/0.43 fof(f913,plain,(
% 0.20/0.43 $false|~spl0_7),
% 0.20/0.43 inference(backward_subsumption_resolution,[status(thm)],[f406,f910])).
% 0.20/0.43 fof(f914,plain,(
% 0.20/0.43 ~spl0_7),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f913])).
% 0.20/0.43 fof(f915,plain,(
% 0.20/0.43 $false),
% 0.20/0.43 inference(sat_refutation,[status(thm)],[f906,f909,f914])).
% 0.20/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.44 % Elapsed time: 0.102612 seconds
% 0.20/0.44 % CPU time: 0.641095 seconds
% 0.20/0.44 % Total memory used: 75.698 MB
% 0.20/0.44 % Net memory used: 75.133 MB
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