TSTP Solution File: RNG103+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG103+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 : Wed May 31 12:32:54 EDT 2023
% Result : Theorem 14.58s 2.26s
% Output : CNFRefutation 14.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG103+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n001.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Tue May 30 11:06:00 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 14.58/2.26 % Refutation found
% 14.58/2.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.58/2.26 % SZS output start CNFRefutation for theBenchmark
% 14.58/2.26 fof(f14,axiom,(
% 14.58/2.26 (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2) )=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) )),
% 14.58/2.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.58/2.26 fof(f38,hypothesis,(
% 14.58/2.26 aElement0(xc) ),
% 14.58/2.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.58/2.26 fof(f40,hypothesis,(
% 14.58/2.26 ( aElement0(xu)& sdtasdt0(xc,xu) = xx ) ),
% 14.58/2.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.58/2.26 fof(f41,hypothesis,(
% 14.58/2.26 ( aElement0(xv)& sdtasdt0(xc,xv) = xy ) ),
% 14.58/2.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.58/2.26 fof(f42,conjecture,(
% 14.58/2.26 sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)) ),
% 14.58/2.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.58/2.26 fof(f43,negated_conjecture,(
% 14.58/2.26 ~(sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)) )),
% 14.58/2.26 inference(negated_conjecture,[status(cth)],[f42])).
% 14.58/2.26 fof(f72,plain,(
% 14.58/2.26 ![W0,W1,W2]: (((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|(sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))))),
% 14.58/2.26 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 14.58/2.26 fof(f73,plain,(
% 14.58/2.26 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 14.58/2.26 inference(cnf_transformation,[status(esa)],[f72])).
% 14.58/2.26 fof(f194,plain,(
% 14.58/2.26 aElement0(xc)),
% 14.58/2.26 inference(cnf_transformation,[status(esa)],[f38])).
% 14.58/2.26 fof(f203,plain,(
% 14.58/2.26 aElement0(xu)),
% 14.58/2.26 inference(cnf_transformation,[status(esa)],[f40])).
% 14.58/2.26 fof(f204,plain,(
% 14.58/2.26 sdtasdt0(xc,xu)=xx),
% 14.58/2.26 inference(cnf_transformation,[status(esa)],[f40])).
% 14.58/2.26 fof(f205,plain,(
% 14.58/2.26 aElement0(xv)),
% 14.58/2.26 inference(cnf_transformation,[status(esa)],[f41])).
% 14.58/2.26 fof(f206,plain,(
% 14.58/2.26 sdtasdt0(xc,xv)=xy),
% 14.58/2.26 inference(cnf_transformation,[status(esa)],[f41])).
% 14.58/2.26 fof(f207,plain,(
% 14.58/2.26 ~sdtpldt0(xx,xy)=sdtasdt0(xc,sdtpldt0(xu,xv))),
% 14.58/2.26 inference(cnf_transformation,[status(esa)],[f43])).
% 14.58/2.26 fof(f2642,plain,(
% 14.58/2.26 spl0_18 <=> aElement0(xu)),
% 14.58/2.26 introduced(split_symbol_definition)).
% 14.58/2.26 fof(f2644,plain,(
% 14.58/2.26 ~aElement0(xu)|spl0_18),
% 14.58/2.26 inference(component_clause,[status(thm)],[f2642])).
% 14.58/2.26 fof(f2666,plain,(
% 14.58/2.26 $false|spl0_18),
% 14.58/2.26 inference(forward_subsumption_resolution,[status(thm)],[f2644,f203])).
% 14.58/2.26 fof(f2667,plain,(
% 14.58/2.26 spl0_18),
% 14.58/2.26 inference(contradiction_clause,[status(thm)],[f2666])).
% 14.58/2.26 fof(f2670,plain,(
% 14.58/2.26 spl0_22 <=> aElement0(xc)),
% 14.58/2.26 introduced(split_symbol_definition)).
% 14.58/2.26 fof(f2672,plain,(
% 14.58/2.26 ~aElement0(xc)|spl0_22),
% 14.58/2.26 inference(component_clause,[status(thm)],[f2670])).
% 14.58/2.26 fof(f2694,plain,(
% 14.58/2.26 $false|spl0_22),
% 14.58/2.26 inference(forward_subsumption_resolution,[status(thm)],[f2672,f194])).
% 14.58/2.26 fof(f2695,plain,(
% 14.58/2.26 spl0_22),
% 14.58/2.26 inference(contradiction_clause,[status(thm)],[f2694])).
% 14.58/2.26 fof(f5097,plain,(
% 14.58/2.26 spl0_200 <=> ~aElement0(X0)|sdtasdt0(xc,sdtpldt0(xu,X0))=sdtpldt0(xx,sdtasdt0(xc,X0))),
% 14.58/2.26 introduced(split_symbol_definition)).
% 14.58/2.26 fof(f5098,plain,(
% 14.58/2.26 ![X0]: (~aElement0(X0)|sdtasdt0(xc,sdtpldt0(xu,X0))=sdtpldt0(xx,sdtasdt0(xc,X0))|~spl0_200)),
% 14.58/2.26 inference(component_clause,[status(thm)],[f5097])).
% 14.58/2.26 fof(f5100,plain,(
% 14.58/2.26 ![X0]: (~aElement0(xc)|~aElement0(xu)|~aElement0(X0)|sdtasdt0(xc,sdtpldt0(xu,X0))=sdtpldt0(xx,sdtasdt0(xc,X0)))),
% 14.58/2.26 inference(paramodulation,[status(thm)],[f204,f73])).
% 14.58/2.26 fof(f5101,plain,(
% 14.58/2.26 ~spl0_22|~spl0_18|spl0_200),
% 14.58/2.26 inference(split_clause,[status(thm)],[f5100,f2670,f2642,f5097])).
% 14.58/2.26 fof(f9282,plain,(
% 14.58/2.26 sdtasdt0(xc,sdtpldt0(xu,xv))=sdtpldt0(xx,sdtasdt0(xc,xv))|~spl0_200),
% 14.58/2.26 inference(resolution,[status(thm)],[f5098,f205])).
% 14.58/2.26 fof(f9283,plain,(
% 14.58/2.26 sdtasdt0(xc,sdtpldt0(xu,xv))=sdtpldt0(xx,xy)|~spl0_200),
% 14.58/2.26 inference(forward_demodulation,[status(thm)],[f206,f9282])).
% 14.58/2.26 fof(f9284,plain,(
% 14.58/2.26 $false|~spl0_200),
% 14.58/2.26 inference(forward_subsumption_resolution,[status(thm)],[f9283,f207])).
% 14.58/2.26 fof(f9285,plain,(
% 14.58/2.26 ~spl0_200),
% 14.58/2.26 inference(contradiction_clause,[status(thm)],[f9284])).
% 14.58/2.26 fof(f9286,plain,(
% 14.58/2.26 $false),
% 14.58/2.26 inference(sat_refutation,[status(thm)],[f2667,f2695,f5101,f9285])).
% 14.58/2.28 % SZS output end CNFRefutation for theBenchmark.p
% 14.98/2.31 % Elapsed time: 1.983504 seconds
% 14.98/2.31 % CPU time: 15.140187 seconds
% 14.98/2.31 % Memory used: 169.938 MB
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