TSTP Solution File: RNG055+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG055+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG055+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:20:58 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.46 % Refutation found
% 0.19/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.46 fof(f11,axiom,(
% 0.19/0.46 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtasdt0(W0,W1)) ) )),
% 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f14,axiom,(
% 0.19/0.46 (! [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) ) ) )),
% 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f48,hypothesis,(
% 0.19/0.46 ( aScalar0(xE)& xE = sdtasasdt0(xp,xq) ) ),
% 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f51,hypothesis,(
% 0.19/0.46 ( aScalar0(xH)& xH = sdtasdt0(xA,xB) ) ),
% 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f53,hypothesis,(
% 0.19/0.46 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f55,hypothesis,(
% 0.19/0.46 ( aScalar0(xN)& xN = sdtasdt0(xR,xS) ) ),
% 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f57,conjecture,(
% 0.19/0.46 sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) ),
% 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f58,negated_conjecture,(
% 0.19/0.46 ~(sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) )),
% 0.19/0.46 inference(negated_conjecture,[status(cth)],[f57])).
% 0.19/0.46 fof(f82,plain,(
% 0.19/0.46 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtasdt0(W0,W1)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.19/0.46 fof(f83,plain,(
% 0.19/0.46 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtasdt0(X0,X1)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f82])).
% 0.19/0.46 fof(f95,plain,(
% 0.19/0.46 ![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)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.19/0.46 fof(f98,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(sdtasdt0(X0,X1),X2)=sdtasdt0(X0,sdtasdt0(X1,X2)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f95])).
% 0.19/0.46 fof(f99,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f95])).
% 0.19/0.46 fof(f175,plain,(
% 0.19/0.46 aScalar0(xE)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f48])).
% 0.19/0.46 fof(f181,plain,(
% 0.19/0.46 aScalar0(xH)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f51])).
% 0.19/0.46 fof(f185,plain,(
% 0.19/0.46 aScalar0(xP)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f53])).
% 0.19/0.46 fof(f186,plain,(
% 0.19/0.46 xP=sdtasdt0(xE,xH)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f53])).
% 0.19/0.46 fof(f189,plain,(
% 0.19/0.46 aScalar0(xN)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f55])).
% 0.19/0.46 fof(f192,plain,(
% 0.19/0.46 ~sdtasdt0(xP,xP)=sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f58])).
% 0.19/0.46 fof(f193,plain,(
% 0.19/0.46 spl0_0 <=> ~aScalar0(X0)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f194,plain,(
% 0.19/0.46 ![X0]: (~aScalar0(X0)|~spl0_0)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f193])).
% 0.19/0.46 fof(f204,plain,(
% 0.19/0.46 spl0_3 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f205,plain,(
% 0.19/0.46 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)|~spl0_3)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f204])).
% 0.19/0.46 fof(f207,plain,(
% 0.19/0.46 spl0_3|spl0_0),
% 0.19/0.46 inference(split_clause,[status(thm)],[f99,f204,f193])).
% 0.19/0.46 fof(f212,plain,(
% 0.19/0.46 $false|~spl0_0),
% 0.19/0.46 inference(backward_subsumption_resolution,[status(thm)],[f189,f194])).
% 0.19/0.46 fof(f213,plain,(
% 0.19/0.46 ~spl0_0),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f212])).
% 0.19/0.46 fof(f214,plain,(
% 0.19/0.46 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,xE)=sdtasdt0(xE,X0)|~spl0_3)),
% 0.19/0.46 inference(resolution,[status(thm)],[f205,f175])).
% 0.19/0.46 fof(f217,plain,(
% 0.19/0.46 sdtasdt0(xH,xE)=sdtasdt0(xE,xH)|~spl0_3),
% 0.19/0.46 inference(resolution,[status(thm)],[f214,f181])).
% 0.19/0.46 fof(f218,plain,(
% 0.19/0.46 sdtasdt0(xH,xE)=xP|~spl0_3),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f186,f217])).
% 0.19/0.47 fof(f219,plain,(
% 0.19/0.47 sdtasdt0(xP,xE)=sdtasdt0(xE,xP)|~spl0_3),
% 0.19/0.47 inference(resolution,[status(thm)],[f214,f185])).
% 0.19/0.47 fof(f225,plain,(
% 0.19/0.47 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xE),xE)=sdtasdt0(X0,sdtasdt0(xE,xE)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f98,f175])).
% 0.19/0.47 fof(f226,plain,(
% 0.19/0.47 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtasdt0(X0,xE),X1)=sdtasdt0(X0,sdtasdt0(xE,X1)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f98,f175])).
% 0.19/0.47 fof(f228,plain,(
% 0.19/0.47 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtasdt0(X0,xH),X1)=sdtasdt0(X0,sdtasdt0(xH,X1)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f98,f181])).
% 0.19/0.47 fof(f239,plain,(
% 0.19/0.47 sdtasdt0(sdtasdt0(xH,xE),xE)=sdtasdt0(xH,sdtasdt0(xE,xE))),
% 0.19/0.47 inference(resolution,[status(thm)],[f225,f181])).
% 0.19/0.47 fof(f240,plain,(
% 0.19/0.47 sdtasdt0(xP,xE)=sdtasdt0(xH,sdtasdt0(xE,xE))|~spl0_3),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f218,f239])).
% 0.19/0.47 fof(f241,plain,(
% 0.19/0.47 sdtasdt0(xE,xP)=sdtasdt0(xH,sdtasdt0(xE,xE))|~spl0_3),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f219,f240])).
% 0.19/0.47 fof(f244,plain,(
% 0.19/0.47 ![X0]: (~aScalar0(X0)|aScalar0(sdtasdt0(xE,X0)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f83,f175])).
% 0.19/0.47 fof(f250,plain,(
% 0.19/0.47 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xE),xP)=sdtasdt0(X0,sdtasdt0(xE,xP)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f226,f185])).
% 0.19/0.47 fof(f266,plain,(
% 0.19/0.47 sdtasdt0(sdtasdt0(xH,xE),xP)=sdtasdt0(xH,sdtasdt0(xE,xP))),
% 0.19/0.47 inference(resolution,[status(thm)],[f250,f181])).
% 0.19/0.47 fof(f267,plain,(
% 0.19/0.47 sdtasdt0(xP,xP)=sdtasdt0(xH,sdtasdt0(xE,xP))|~spl0_3),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f218,f266])).
% 0.19/0.47 fof(f310,plain,(
% 0.19/0.47 aScalar0(sdtasdt0(xE,xE))),
% 0.19/0.47 inference(resolution,[status(thm)],[f244,f175])).
% 0.19/0.47 fof(f325,plain,(
% 0.19/0.47 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xH),sdtasdt0(xE,xE))=sdtasdt0(X0,sdtasdt0(xH,sdtasdt0(xE,xE))))),
% 0.19/0.47 inference(resolution,[status(thm)],[f310,f228])).
% 0.19/0.47 fof(f326,plain,(
% 0.19/0.47 ![X0]: (~aScalar0(X0)|sdtasdt0(sdtasdt0(X0,xH),sdtasdt0(xE,xE))=sdtasdt0(X0,sdtasdt0(xE,xP))|~spl0_3)),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f241,f325])).
% 0.19/0.47 fof(f389,plain,(
% 0.19/0.47 sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))=sdtasdt0(xH,sdtasdt0(xE,xP))|~spl0_3),
% 0.19/0.47 inference(resolution,[status(thm)],[f326,f181])).
% 0.19/0.47 fof(f390,plain,(
% 0.19/0.47 sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))=sdtasdt0(xP,xP)|~spl0_3),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f267,f389])).
% 0.19/0.47 fof(f391,plain,(
% 0.19/0.47 $false|~spl0_3),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f390,f192])).
% 0.19/0.47 fof(f392,plain,(
% 0.19/0.47 ~spl0_3),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f391])).
% 0.19/0.47 fof(f393,plain,(
% 0.19/0.47 $false),
% 0.19/0.47 inference(sat_refutation,[status(thm)],[f207,f213,f392])).
% 0.19/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.47 % Elapsed time: 0.125939 seconds
% 0.19/0.47 % CPU time: 0.859940 seconds
% 0.19/0.47 % Total memory used: 74.504 MB
% 0.19/0.47 % Net memory used: 73.641 MB
%------------------------------------------------------------------------------