TSTP Solution File: RNG045+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:32:42 EDT 2023
% Result : Theorem 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n017.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 : Tue May 30 10:02:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.51 % Refutation found
% 0.20/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.51 fof(f14,axiom,(
% 0.20/0.51 (! [W0,W1,W2] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2) )=> ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))& sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f15,axiom,(
% 0.20/0.51 (! [W0,W1,W2] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2) )=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) )),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f16,hypothesis,(
% 0.20/0.51 ( aScalar0(xx)& aScalar0(xy)& aScalar0(xu)& aScalar0(xv) ) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f17,hypothesis,(
% 0.20/0.51 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f18,conjecture,(
% 0.20/0.51 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f19,negated_conjecture,(
% 0.20/0.51 ~(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) )),
% 0.20/0.51 inference(negated_conjecture,[status(cth)],[f18])).
% 0.20/0.51 fof(f56,plain,(
% 0.20/0.51 ![W0,W1,W2]: (((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|(((sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))&sdtpldt0(W0,W1)=sdtpldt0(W1,W0))&sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)))&sdtasdt0(W0,W1)=sdtasdt0(W1,W0)))),
% 0.20/0.51 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.20/0.51 fof(f60,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f56])).
% 0.20/0.51 fof(f61,plain,(
% 0.20/0.51 ![W0,W1,W2]: (((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|(sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2))))),
% 0.20/0.51 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.20/0.51 fof(f62,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f61])).
% 0.20/0.51 fof(f63,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(sdtpldt0(X0,X1),X2)=sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f61])).
% 0.20/0.51 fof(f64,plain,(
% 0.20/0.51 aScalar0(xx)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.51 fof(f65,plain,(
% 0.20/0.51 aScalar0(xy)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.51 fof(f66,plain,(
% 0.20/0.51 aScalar0(xu)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.51 fof(f67,plain,(
% 0.20/0.51 aScalar0(xv)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.51 fof(f68,plain,(
% 0.20/0.51 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.51 fof(f69,plain,(
% 0.20/0.51 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.51 fof(f70,plain,(
% 0.20/0.51 spl0_0 <=> ~aScalar0(X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f71,plain,(
% 0.20/0.51 ![X0]: (~aScalar0(X0)|~spl0_0)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f70])).
% 0.20/0.51 fof(f81,plain,(
% 0.20/0.51 spl0_3 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f82,plain,(
% 0.20/0.51 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)|~spl0_3)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f81])).
% 0.20/0.51 fof(f84,plain,(
% 0.20/0.51 spl0_3|spl0_0),
% 0.20/0.51 inference(split_clause,[status(thm)],[f60,f81,f70])).
% 0.20/0.51 fof(f85,plain,(
% 0.20/0.51 $false|~spl0_0),
% 0.20/0.51 inference(backward_subsumption_resolution,[status(thm)],[f67,f71])).
% 0.20/0.52 fof(f86,plain,(
% 0.20/0.52 ~spl0_0),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f85])).
% 0.20/0.52 fof(f113,plain,(
% 0.20/0.52 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtpldt0(xu,X0),X1)=sdtpldt0(sdtasdt0(xu,X1),sdtasdt0(X0,X1)))),
% 0.20/0.52 inference(resolution,[status(thm)],[f63,f66])).
% 0.20/0.52 fof(f115,plain,(
% 0.20/0.52 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(xx,sdtpldt0(X0,X1))=sdtpldt0(sdtasdt0(xx,X0),sdtasdt0(xx,X1)))),
% 0.20/0.52 inference(resolution,[status(thm)],[f62,f64])).
% 0.20/0.52 fof(f116,plain,(
% 0.20/0.52 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(xy,sdtpldt0(X0,X1))=sdtpldt0(sdtasdt0(xy,X0),sdtasdt0(xy,X1)))),
% 0.20/0.52 inference(resolution,[status(thm)],[f62,f65])).
% 0.20/0.52 fof(f140,plain,(
% 0.20/0.52 ![X0]: (~aScalar0(X0)|sdtasdt0(xx,X0)=sdtasdt0(X0,xx)|~spl0_3)),
% 0.20/0.52 inference(resolution,[status(thm)],[f82,f64])).
% 0.20/0.52 fof(f141,plain,(
% 0.20/0.52 ![X0]: (~aScalar0(X0)|sdtasdt0(xy,X0)=sdtasdt0(X0,xy)|~spl0_3)),
% 0.20/0.52 inference(resolution,[status(thm)],[f82,f65])).
% 0.20/0.52 fof(f154,plain,(
% 0.20/0.52 sdtasdt0(xx,xu)=sdtasdt0(xu,xx)|~spl0_3),
% 0.20/0.52 inference(resolution,[status(thm)],[f140,f66])).
% 0.20/0.52 fof(f155,plain,(
% 0.20/0.52 sdtasdt0(xx,xv)=sdtasdt0(xv,xx)|~spl0_3),
% 0.20/0.52 inference(resolution,[status(thm)],[f140,f67])).
% 0.20/0.52 fof(f164,plain,(
% 0.20/0.52 sdtasdt0(xy,xu)=sdtasdt0(xu,xy)|~spl0_3),
% 0.20/0.52 inference(resolution,[status(thm)],[f141,f66])).
% 0.20/0.52 fof(f165,plain,(
% 0.20/0.52 sdtasdt0(xy,xv)=sdtasdt0(xv,xy)|~spl0_3),
% 0.20/0.52 inference(resolution,[status(thm)],[f141,f67])).
% 0.20/0.52 fof(f592,plain,(
% 0.20/0.52 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtpldt0(xu,xv),X0)=sdtpldt0(sdtasdt0(xu,X0),sdtasdt0(xv,X0)))),
% 0.20/0.52 inference(resolution,[status(thm)],[f113,f67])).
% 0.20/0.52 fof(f610,plain,(
% 0.20/0.52 sdtasdt0(sdtpldt0(xu,xv),xx)=sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xv,xx))),
% 0.20/0.52 inference(resolution,[status(thm)],[f592,f64])).
% 0.20/0.52 fof(f611,plain,(
% 0.20/0.52 sdtasdt0(sdtpldt0(xu,xv),xx)=sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xv,xx))|~spl0_3),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f154,f610])).
% 0.20/0.52 fof(f612,plain,(
% 0.20/0.52 sdtasdt0(sdtpldt0(xu,xv),xx)=sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv))|~spl0_3),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f155,f611])).
% 0.20/0.52 fof(f613,plain,(
% 0.20/0.52 sdtasdt0(sdtpldt0(xu,xv),xy)=sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xv,xy))),
% 0.20/0.52 inference(resolution,[status(thm)],[f592,f65])).
% 0.20/0.52 fof(f614,plain,(
% 0.20/0.52 sdtasdt0(sdtpldt0(xu,xv),xy)=sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xv,xy))|~spl0_3),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f164,f613])).
% 0.20/0.52 fof(f615,plain,(
% 0.20/0.52 sdtasdt0(sdtpldt0(xu,xv),xy)=sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))|~spl0_3),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f165,f614])).
% 0.20/0.52 fof(f619,plain,(
% 0.20/0.52 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xx),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))|~spl0_3),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f612,f69])).
% 0.20/0.52 fof(f620,plain,(
% 0.20/0.52 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xx),sdtasdt0(sdtpldt0(xu,xv),xy))|~spl0_3),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f615,f619])).
% 0.20/0.52 fof(f636,plain,(
% 0.20/0.52 ![X0]: (~aScalar0(X0)|sdtasdt0(xx,sdtpldt0(xu,X0))=sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,X0)))),
% 0.20/0.52 inference(resolution,[status(thm)],[f115,f66])).
% 0.20/0.52 fof(f663,plain,(
% 0.20/0.52 sdtasdt0(xx,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv))),
% 0.20/0.52 inference(resolution,[status(thm)],[f636,f67])).
% 0.20/0.52 fof(f664,plain,(
% 0.20/0.52 sdtasdt0(xx,sdtpldt0(xu,xv))=sdtasdt0(sdtpldt0(xu,xv),xx)|~spl0_3),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f612,f663])).
% 0.20/0.52 fof(f665,plain,(
% 0.20/0.52 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xx),sdtasdt0(xy,sdtpldt0(xu,xv)))|~spl0_3),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f664,f68])).
% 0.20/0.52 fof(f725,plain,(
% 0.20/0.52 ![X0]: (~aScalar0(X0)|sdtasdt0(xy,sdtpldt0(xu,X0))=sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,X0)))),
% 0.20/0.52 inference(resolution,[status(thm)],[f116,f66])).
% 0.20/0.52 fof(f752,plain,(
% 0.20/0.52 sdtasdt0(xy,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
% 0.20/0.52 inference(resolution,[status(thm)],[f725,f67])).
% 0.20/0.52 fof(f753,plain,(
% 0.20/0.52 sdtasdt0(xy,sdtpldt0(xu,xv))=sdtasdt0(sdtpldt0(xu,xv),xy)|~spl0_3),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f615,f752])).
% 0.20/0.52 fof(f754,plain,(
% 0.20/0.52 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xx),sdtasdt0(sdtpldt0(xu,xv),xy))|~spl0_3),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f753,f665])).
% 0.20/0.52 fof(f755,plain,(
% 0.20/0.52 $false|~spl0_3),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f754,f620])).
% 0.20/0.52 fof(f756,plain,(
% 0.20/0.52 ~spl0_3),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f755])).
% 0.20/0.52 fof(f757,plain,(
% 0.20/0.52 $false),
% 0.20/0.52 inference(sat_refutation,[status(thm)],[f84,f86,f756])).
% 0.20/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.52 % Elapsed time: 0.176795 seconds
% 0.20/0.52 % CPU time: 1.285281 seconds
% 0.20/0.52 % Memory used: 75.145 MB
%------------------------------------------------------------------------------