TSTP Solution File: RNG055+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG055+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:37:50 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : RNG055+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n005.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 22:15:11 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.38 fof(f11,axiom,(
% 0.15/0.38 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtasdt0(W0,W1)) ) )),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f14,axiom,(
% 0.15/0.38 (! [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) ) ) )),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f48,hypothesis,(
% 0.15/0.38 ( aScalar0(xE)& xE = sdtasasdt0(xp,xq) ) ),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f51,hypothesis,(
% 0.15/0.38 ( aScalar0(xH)& xH = sdtasdt0(xA,xB) ) ),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f53,hypothesis,(
% 0.15/0.38 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f55,hypothesis,(
% 0.15/0.38 ( aScalar0(xN)& xN = sdtasdt0(xR,xS) ) ),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f57,conjecture,(
% 0.15/0.38 sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) ),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f58,negated_conjecture,(
% 0.15/0.38 ~(sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) )),
% 0.15/0.38 inference(negated_conjecture,[status(cth)],[f57])).
% 0.15/0.38 fof(f82,plain,(
% 0.15/0.38 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtasdt0(W0,W1)))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.15/0.38 fof(f83,plain,(
% 0.15/0.38 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtasdt0(X0,X1)))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f82])).
% 0.15/0.38 fof(f95,plain,(
% 0.15/0.38 ![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)))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.38 fof(f98,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(sdtasdt0(X0,X1),X2)=sdtasdt0(X0,sdtasdt0(X1,X2)))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f95])).
% 0.15/0.38 fof(f99,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f95])).
% 0.15/0.38 fof(f181,plain,(
% 0.15/0.38 aScalar0(xE)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f48])).
% 0.15/0.38 fof(f187,plain,(
% 0.15/0.38 aScalar0(xH)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f51])).
% 0.15/0.38 fof(f191,plain,(
% 0.15/0.38 aScalar0(xP)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f53])).
% 0.15/0.38 fof(f192,plain,(
% 0.15/0.38 xP=sdtasdt0(xE,xH)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f53])).
% 0.15/0.38 fof(f195,plain,(
% 0.15/0.38 aScalar0(xN)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f55])).
% 0.15/0.38 fof(f198,plain,(
% 0.15/0.38 ~sdtasdt0(xP,xP)=sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f58])).
% 0.15/0.38 fof(f199,plain,(
% 0.15/0.38 spl0_0 <=> ~aScalar0(X0)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f200,plain,(
% 0.15/0.38 ![X0]: (~aScalar0(X0)|~spl0_0)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f199])).
% 0.15/0.38 fof(f210,plain,(
% 0.15/0.38 spl0_3 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f211,plain,(
% 0.15/0.38 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)|~spl0_3)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f210])).
% 0.15/0.38 fof(f213,plain,(
% 0.15/0.38 spl0_3|spl0_0),
% 0.15/0.38 inference(split_clause,[status(thm)],[f99,f210,f199])).
% 0.15/0.38 fof(f219,plain,(
% 0.15/0.38 $false|~spl0_0),
% 0.15/0.38 inference(backward_subsumption_resolution,[status(thm)],[f195,f200])).
% 0.15/0.38 fof(f220,plain,(
% 0.15/0.38 ~spl0_0),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f219])).
% 0.15/0.38 fof(f221,plain,(
% 0.15/0.38 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,xE)=sdtasdt0(xE,X0)|~spl0_3)),
% 0.15/0.38 inference(resolution,[status(thm)],[f211,f181])).
% 0.15/0.38 fof(f224,plain,(
% 0.15/0.38 sdtasdt0(xH,xE)=sdtasdt0(xE,xH)|~spl0_3),
% 0.15/0.38 inference(resolution,[status(thm)],[f221,f187])).
% 0.15/0.38 fof(f225,plain,(
% 0.15/0.38 sdtasdt0(xH,xE)=xP|~spl0_3),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f192,f224])).
% 0.15/0.39 fof(f226,plain,(
% 0.15/0.39 sdtasdt0(xP,xE)=sdtasdt0(xE,xP)|~spl0_3),
% 0.15/0.39 inference(resolution,[status(thm)],[f221,f191])).
% 0.15/0.39 fof(f232,plain,(
% 0.15/0.39 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xE),xE)=sdtasdt0(X0,sdtasdt0(xE,xE)))),
% 0.15/0.39 inference(resolution,[status(thm)],[f98,f181])).
% 0.15/0.39 fof(f233,plain,(
% 0.15/0.39 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtasdt0(X0,xE),X1)=sdtasdt0(X0,sdtasdt0(xE,X1)))),
% 0.15/0.39 inference(resolution,[status(thm)],[f98,f181])).
% 0.15/0.39 fof(f235,plain,(
% 0.15/0.39 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtasdt0(X0,xH),X1)=sdtasdt0(X0,sdtasdt0(xH,X1)))),
% 0.15/0.39 inference(resolution,[status(thm)],[f98,f187])).
% 0.15/0.39 fof(f245,plain,(
% 0.15/0.39 ![X0]: (~aScalar0(X0)|aScalar0(sdtasdt0(xE,X0)))),
% 0.15/0.39 inference(resolution,[status(thm)],[f83,f181])).
% 0.15/0.39 fof(f249,plain,(
% 0.15/0.39 sdtasdt0(sdtasdt0(xH,xE),xE)=sdtasdt0(xH,sdtasdt0(xE,xE))),
% 0.15/0.39 inference(resolution,[status(thm)],[f232,f187])).
% 0.15/0.39 fof(f250,plain,(
% 0.15/0.39 sdtasdt0(xP,xE)=sdtasdt0(xH,sdtasdt0(xE,xE))|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f225,f249])).
% 0.15/0.39 fof(f251,plain,(
% 0.15/0.39 sdtasdt0(xE,xP)=sdtasdt0(xH,sdtasdt0(xE,xE))|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f226,f250])).
% 0.15/0.39 fof(f266,plain,(
% 0.15/0.39 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xE),xP)=sdtasdt0(X0,sdtasdt0(xE,xP)))),
% 0.15/0.39 inference(resolution,[status(thm)],[f233,f191])).
% 0.15/0.39 fof(f292,plain,(
% 0.15/0.39 sdtasdt0(sdtasdt0(xH,xE),xP)=sdtasdt0(xH,sdtasdt0(xE,xP))),
% 0.15/0.39 inference(resolution,[status(thm)],[f266,f187])).
% 0.15/0.39 fof(f293,plain,(
% 0.15/0.39 sdtasdt0(xP,xP)=sdtasdt0(xH,sdtasdt0(xE,xP))|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f225,f292])).
% 0.15/0.39 fof(f317,plain,(
% 0.15/0.39 aScalar0(sdtasdt0(xE,xE))),
% 0.15/0.39 inference(resolution,[status(thm)],[f245,f181])).
% 0.15/0.39 fof(f334,plain,(
% 0.15/0.39 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xH),sdtasdt0(xE,xE))=sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xE,xE))))),
% 0.15/0.39 inference(resolution,[status(thm)],[f317,f235])).
% 0.15/0.39 fof(f335,plain,(
% 0.15/0.39 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xH),sdtasdt0(xE,xE))=sdtasdt0(X0,sdtasdt0(xE,xP))|~spl0_3)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f251,f334])).
% 0.15/0.39 fof(f396,plain,(
% 0.15/0.39 sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))=sdtasdt0(xH,sdtasdt0(xE,xP))|~spl0_3),
% 0.15/0.39 inference(resolution,[status(thm)],[f335,f187])).
% 0.15/0.39 fof(f397,plain,(
% 0.15/0.39 sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))=sdtasdt0(xP,xP)|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f293,f396])).
% 0.15/0.39 fof(f398,plain,(
% 0.15/0.39 $false|~spl0_3),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f397,f198])).
% 0.15/0.39 fof(f399,plain,(
% 0.15/0.39 ~spl0_3),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f398])).
% 0.15/0.39 fof(f400,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(sat_refutation,[status(thm)],[f213,f220,f399])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.40 % Elapsed time: 0.088244 seconds
% 0.15/0.40 % CPU time: 0.600133 seconds
% 0.15/0.40 % Total memory used: 73.788 MB
% 0.15/0.40 % Net memory used: 73.093 MB
%------------------------------------------------------------------------------