TSTP Solution File: NUM344+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM344+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:30:37 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : NUM344+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:38:44 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f1,axiom,(
% 0.14/0.37 rdn_translate(n0,rdn_pos(rdnn(n0))) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f2,axiom,(
% 0.14/0.37 rdn_translate(n1,rdn_pos(rdnn(n1))) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f129,axiom,(
% 0.14/0.37 rdn_translate(nn1,rdn_neg(rdnn(n1))) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f282,axiom,(
% 0.14/0.37 (! [X,Y,RDN_X,RDN_Y] :( ( rdn_translate(X,rdn_neg(RDN_X))& rdn_translate(Y,rdn_pos(RDN_Y)) )=> less(X,Y) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f291,axiom,(
% 0.14/0.37 (! [POS_X,NEG_X,RDN_X] :( ( rdn_translate(POS_X,rdn_pos(RDN_X))& rdn_translate(NEG_X,rdn_neg(RDN_X)) )=> sum(POS_X,NEG_X,n0) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f292,axiom,(
% 0.14/0.37 (! [X,Y,Z,RDN_X,RDN_Y] :( ( rdn_translate(X,rdn_neg(RDN_X))& rdn_translate(Y,rdn_pos(RDN_Y))& sum(Y,X,Z) )=> sum(X,Y,Z) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f402,conjecture,(
% 0.14/0.37 (? [X,Y] :( sum(X,n1,Y)& less(X,Y) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f403,negated_conjecture,(
% 0.14/0.37 ~((? [X,Y] :( sum(X,n1,Y)& less(X,Y) ) ))),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f402])).
% 0.14/0.37 fof(f404,plain,(
% 0.14/0.37 rdn_translate(n0,rdn_pos(rdnn(n0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.37 fof(f405,plain,(
% 0.14/0.37 rdn_translate(n1,rdn_pos(rdnn(n1)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.37 fof(f532,plain,(
% 0.14/0.37 rdn_translate(nn1,rdn_neg(rdnn(n1)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f129])).
% 0.14/0.37 fof(f697,plain,(
% 0.14/0.37 ![X,Y,RDN_X,RDN_Y]: ((~rdn_translate(X,rdn_neg(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|less(X,Y))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f282])).
% 0.14/0.37 fof(f698,plain,(
% 0.14/0.37 ![X,Y]: (((![RDN_X]: ~rdn_translate(X,rdn_neg(RDN_X)))|(![RDN_Y]: ~rdn_translate(Y,rdn_pos(RDN_Y))))|less(X,Y))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f697])).
% 0.14/0.37 fof(f699,plain,(
% 0.14/0.37 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_neg(X1))|~rdn_translate(X2,rdn_pos(X3))|less(X0,X2))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f698])).
% 0.14/0.37 fof(f728,plain,(
% 0.14/0.37 ![POS_X,NEG_X,RDN_X]: ((~rdn_translate(POS_X,rdn_pos(RDN_X))|~rdn_translate(NEG_X,rdn_neg(RDN_X)))|sum(POS_X,NEG_X,n0))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f291])).
% 0.14/0.37 fof(f729,plain,(
% 0.14/0.37 ![POS_X,NEG_X]: ((![RDN_X]: (~rdn_translate(POS_X,rdn_pos(RDN_X))|~rdn_translate(NEG_X,rdn_neg(RDN_X))))|sum(POS_X,NEG_X,n0))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f728])).
% 0.14/0.37 fof(f730,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X2,rdn_neg(X1))|sum(X0,X2,n0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f729])).
% 0.14/0.37 fof(f731,plain,(
% 0.14/0.37 ![X,Y,Z,RDN_X,RDN_Y]: (((~rdn_translate(X,rdn_neg(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|~sum(Y,X,Z))|sum(X,Y,Z))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f292])).
% 0.14/0.37 fof(f732,plain,(
% 0.14/0.37 ![X,Y,Z]: ((((![RDN_X]: ~rdn_translate(X,rdn_neg(RDN_X)))|(![RDN_Y]: ~rdn_translate(Y,rdn_pos(RDN_Y))))|~sum(Y,X,Z))|sum(X,Y,Z))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f731])).
% 0.14/0.37 fof(f733,plain,(
% 0.14/0.37 ![X0,X1,X2,X3,X4]: (~rdn_translate(X0,rdn_neg(X1))|~rdn_translate(X2,rdn_pos(X3))|~sum(X2,X0,X4)|sum(X0,X2,X4))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f732])).
% 0.14/0.37 fof(f861,plain,(
% 0.14/0.37 (![X,Y]: (~sum(X,n1,Y)|~less(X,Y)))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f403])).
% 0.14/0.37 fof(f862,plain,(
% 0.14/0.37 ![X0,X1]: (~sum(X0,n1,X1)|~less(X0,X1))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f861])).
% 0.14/0.37 fof(f877,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~rdn_translate(X0,rdn_pos(X1))|~sum(X0,nn1,X2)|sum(nn1,X0,X2))),
% 0.14/0.37 inference(resolution,[status(thm)],[f532,f733])).
% 0.14/0.37 fof(f879,plain,(
% 0.14/0.37 ![X0]: (~rdn_translate(X0,rdn_pos(rdnn(n1)))|sum(X0,nn1,n0))),
% 0.14/0.37 inference(resolution,[status(thm)],[f532,f730])).
% 0.14/0.37 fof(f880,plain,(
% 0.14/0.37 ![X0,X1]: (~rdn_translate(X0,rdn_pos(X1))|less(nn1,X0))),
% 0.14/0.37 inference(resolution,[status(thm)],[f532,f699])).
% 0.14/0.37 fof(f892,plain,(
% 0.14/0.37 less(nn1,n0)),
% 0.14/0.37 inference(resolution,[status(thm)],[f880,f404])).
% 0.14/0.37 fof(f965,plain,(
% 0.14/0.37 sum(n1,nn1,n0)),
% 0.14/0.37 inference(resolution,[status(thm)],[f879,f405])).
% 0.14/0.37 fof(f966,plain,(
% 0.14/0.37 spl0_12 <=> ~rdn_translate(n1,rdn_pos(X0))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f967,plain,(
% 0.14/0.37 ![X0]: (~rdn_translate(n1,rdn_pos(X0))|~spl0_12)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f966])).
% 0.14/0.37 fof(f969,plain,(
% 0.14/0.37 spl0_13 <=> sum(nn1,n1,n0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f970,plain,(
% 0.14/0.37 sum(nn1,n1,n0)|~spl0_13),
% 0.14/0.37 inference(component_clause,[status(thm)],[f969])).
% 0.14/0.37 fof(f972,plain,(
% 0.14/0.37 ![X0]: (~rdn_translate(n1,rdn_pos(X0))|sum(nn1,n1,n0))),
% 0.14/0.37 inference(resolution,[status(thm)],[f965,f877])).
% 0.14/0.37 fof(f973,plain,(
% 0.14/0.37 spl0_12|spl0_13),
% 0.14/0.37 inference(split_clause,[status(thm)],[f972,f966,f969])).
% 0.14/0.37 fof(f977,plain,(
% 0.14/0.37 $false|~spl0_12),
% 0.14/0.37 inference(backward_subsumption_resolution,[status(thm)],[f405,f967])).
% 0.14/0.37 fof(f978,plain,(
% 0.14/0.37 ~spl0_12),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f977])).
% 0.14/0.37 fof(f1164,plain,(
% 0.14/0.37 ~less(nn1,n0)|~spl0_13),
% 0.14/0.37 inference(resolution,[status(thm)],[f970,f862])).
% 0.14/0.37 fof(f1165,plain,(
% 0.14/0.37 $false|~spl0_13),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1164,f892])).
% 0.14/0.37 fof(f1166,plain,(
% 0.14/0.37 ~spl0_13),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f1165])).
% 0.14/0.37 fof(f1167,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(sat_refutation,[status(thm)],[f973,f978,f1166])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.031991 seconds
% 0.14/0.38 % CPU time: 0.061126 seconds
% 0.14/0.38 % Total memory used: 17.088 MB
% 0.14/0.38 % Net memory used: 17.062 MB
%------------------------------------------------------------------------------