TSTP Solution File: RNG077+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG077+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:32:48 EDT 2023
% Result : Theorem 4.96s 1.07s
% Output : CNFRefutation 4.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG077+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.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 : Tue May 30 10:32:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 4.96/1.07 % Refutation found
% 4.96/1.07 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.96/1.07 % SZS output start CNFRefutation for theBenchmark
% 4.96/1.07 fof(f10,axiom,(
% 4.96/1.07 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtpldt0(W0,W1)) ) )),
% 4.96/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.96/1.07 fof(f11,axiom,(
% 4.96/1.07 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtasdt0(W0,W1)) ) )),
% 4.96/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.96/1.07 fof(f14,axiom,(
% 4.96/1.07 (! [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) ) ) )),
% 4.96/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.96/1.07 fof(f48,hypothesis,(
% 4.96/1.07 ( aScalar0(xE)& xE = sdtasasdt0(xp,xq) ) ),
% 4.96/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.96/1.07 fof(f51,hypothesis,(
% 4.96/1.07 ( aScalar0(xH)& xH = sdtasdt0(xA,xB) ) ),
% 4.96/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.96/1.07 fof(f53,hypothesis,(
% 4.96/1.07 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 4.96/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.96/1.07 fof(f59,conjecture,(
% 4.96/1.07 sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) ),
% 4.96/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.96/1.07 fof(f60,negated_conjecture,(
% 4.96/1.07 ~(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) )),
% 4.96/1.07 inference(negated_conjecture,[status(cth)],[f59])).
% 4.96/1.07 fof(f82,plain,(
% 4.96/1.07 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtpldt0(W0,W1)))),
% 4.96/1.07 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 4.96/1.07 fof(f83,plain,(
% 4.96/1.07 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtpldt0(X0,X1)))),
% 4.96/1.07 inference(cnf_transformation,[status(esa)],[f82])).
% 4.96/1.07 fof(f84,plain,(
% 4.96/1.07 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtasdt0(W0,W1)))),
% 4.96/1.07 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 4.96/1.07 fof(f85,plain,(
% 4.96/1.07 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtasdt0(X0,X1)))),
% 4.96/1.07 inference(cnf_transformation,[status(esa)],[f84])).
% 4.96/1.07 fof(f97,plain,(
% 4.96/1.07 ![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)))),
% 4.96/1.07 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 4.96/1.07 fof(f98,plain,(
% 4.96/1.07 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(X0,sdtpldt0(X1,X2)))),
% 4.96/1.07 inference(cnf_transformation,[status(esa)],[f97])).
% 4.96/1.07 fof(f101,plain,(
% 4.96/1.07 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 4.96/1.07 inference(cnf_transformation,[status(esa)],[f97])).
% 4.96/1.07 fof(f177,plain,(
% 4.96/1.07 aScalar0(xE)),
% 4.96/1.07 inference(cnf_transformation,[status(esa)],[f48])).
% 4.96/1.07 fof(f183,plain,(
% 4.96/1.07 aScalar0(xH)),
% 4.96/1.07 inference(cnf_transformation,[status(esa)],[f51])).
% 4.96/1.07 fof(f187,plain,(
% 4.96/1.07 aScalar0(xP)),
% 4.96/1.07 inference(cnf_transformation,[status(esa)],[f53])).
% 4.96/1.07 fof(f188,plain,(
% 4.96/1.07 xP=sdtasdt0(xE,xH)),
% 4.96/1.07 inference(cnf_transformation,[status(esa)],[f53])).
% 4.96/1.07 fof(f196,plain,(
% 4.96/1.07 ~sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))=sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)))),
% 4.96/1.07 inference(cnf_transformation,[status(esa)],[f60])).
% 4.96/1.07 fof(f197,plain,(
% 4.96/1.07 spl0_0 <=> ~aScalar0(X0)),
% 4.96/1.07 introduced(split_symbol_definition)).
% 4.96/1.07 fof(f198,plain,(
% 4.96/1.07 ![X0]: (~aScalar0(X0)|~spl0_0)),
% 4.96/1.07 inference(component_clause,[status(thm)],[f197])).
% 4.96/1.07 fof(f208,plain,(
% 4.96/1.07 spl0_3 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)),
% 4.96/1.07 introduced(split_symbol_definition)).
% 4.96/1.07 fof(f209,plain,(
% 4.96/1.07 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)|~spl0_3)),
% 4.96/1.07 inference(component_clause,[status(thm)],[f208])).
% 4.96/1.07 fof(f211,plain,(
% 4.96/1.07 spl0_3|spl0_0),
% 4.96/1.07 inference(split_clause,[status(thm)],[f101,f208,f197])).
% 4.96/1.07 fof(f218,plain,(
% 4.96/1.07 aScalar0(sdtpldt0(xE,xE))),
% 4.96/1.07 inference(resolution,[status(thm)],[f83,f177])).
% 4.96/1.07 fof(f234,plain,(
% 4.96/1.07 aScalar0(sdtasdt0(xH,xH))),
% 4.96/1.07 inference(resolution,[status(thm)],[f85,f183])).
% 4.96/1.08 fof(f236,plain,(
% 4.96/1.08 aScalar0(sdtasdt0(xE,xE))),
% 4.96/1.08 inference(resolution,[status(thm)],[f85,f177])).
% 4.96/1.08 fof(f418,plain,(
% 4.96/1.08 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtpldt0(sdtpldt0(X0,xP),X1)=sdtpldt0(X0,sdtpldt0(xP,X1)))),
% 4.96/1.08 inference(resolution,[status(thm)],[f98,f187])).
% 4.96/1.08 fof(f776,plain,(
% 4.96/1.08 $false|~spl0_0),
% 4.96/1.08 inference(backward_subsumption_resolution,[status(thm)],[f236,f198])).
% 4.96/1.08 fof(f777,plain,(
% 4.96/1.08 ~spl0_0),
% 4.96/1.08 inference(contradiction_clause,[status(thm)],[f776])).
% 4.96/1.08 fof(f784,plain,(
% 4.96/1.08 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,xH)=sdtasdt0(xH,X0)|~spl0_3)),
% 4.96/1.08 inference(resolution,[status(thm)],[f183,f209])).
% 4.96/1.08 fof(f796,plain,(
% 4.96/1.08 spl0_10 <=> aScalar0(xP)),
% 4.96/1.08 introduced(split_symbol_definition)).
% 4.96/1.08 fof(f798,plain,(
% 4.96/1.08 ~aScalar0(xP)|spl0_10),
% 4.96/1.08 inference(component_clause,[status(thm)],[f796])).
% 4.96/1.08 fof(f840,plain,(
% 4.96/1.08 $false|spl0_10),
% 4.96/1.08 inference(forward_subsumption_resolution,[status(thm)],[f798,f187])).
% 4.96/1.08 fof(f841,plain,(
% 4.96/1.08 spl0_10),
% 4.96/1.08 inference(contradiction_clause,[status(thm)],[f840])).
% 4.96/1.08 fof(f923,plain,(
% 4.96/1.08 sdtasdt0(xE,xH)=sdtasdt0(xH,xE)|~spl0_3),
% 4.96/1.08 inference(resolution,[status(thm)],[f177,f784])).
% 4.96/1.08 fof(f944,plain,(
% 4.96/1.08 ~sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))=sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))|~spl0_3),
% 4.96/1.08 inference(backward_demodulation,[status(thm)],[f923,f196])).
% 4.96/1.08 fof(f1522,plain,(
% 4.96/1.08 ~sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))=sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(xP,sdtasdt0(xH,xH)))|~spl0_3),
% 4.96/1.08 inference(backward_demodulation,[status(thm)],[f188,f944])).
% 4.96/1.08 fof(f1523,plain,(
% 4.96/1.08 ~sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))=sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))|~spl0_3),
% 4.96/1.08 inference(forward_demodulation,[status(thm)],[f188,f1522])).
% 4.96/1.08 fof(f3684,plain,(
% 4.96/1.08 spl0_261 <=> aScalar0(sdtasdt0(xH,xH))),
% 4.96/1.08 introduced(split_symbol_definition)).
% 4.96/1.08 fof(f3686,plain,(
% 4.96/1.08 ~aScalar0(sdtasdt0(xH,xH))|spl0_261),
% 4.96/1.08 inference(component_clause,[status(thm)],[f3684])).
% 4.96/1.08 fof(f3701,plain,(
% 4.96/1.08 $false|spl0_261),
% 4.96/1.08 inference(forward_subsumption_resolution,[status(thm)],[f3686,f234])).
% 4.96/1.08 fof(f3702,plain,(
% 4.96/1.08 spl0_261),
% 4.96/1.08 inference(contradiction_clause,[status(thm)],[f3701])).
% 4.96/1.08 fof(f4417,plain,(
% 4.96/1.08 spl0_341 <=> aScalar0(sdtpldt0(xE,xE))),
% 4.96/1.08 introduced(split_symbol_definition)).
% 4.96/1.08 fof(f4419,plain,(
% 4.96/1.08 ~aScalar0(sdtpldt0(xE,xE))|spl0_341),
% 4.96/1.08 inference(component_clause,[status(thm)],[f4417])).
% 4.96/1.08 fof(f4439,plain,(
% 4.96/1.08 $false|spl0_341),
% 4.96/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4419,f218])).
% 4.96/1.08 fof(f4440,plain,(
% 4.96/1.08 spl0_341),
% 4.96/1.08 inference(contradiction_clause,[status(thm)],[f4439])).
% 4.96/1.08 fof(f4855,plain,(
% 4.96/1.08 ~aScalar0(xP)|~aScalar0(sdtasdt0(xH,xH))|~spl0_3),
% 4.96/1.08 inference(resolution,[status(thm)],[f418,f1523])).
% 4.96/1.08 fof(f4856,plain,(
% 4.96/1.08 ~spl0_10|~spl0_261|~spl0_3),
% 4.96/1.08 inference(split_clause,[status(thm)],[f4855,f796,f3684,f208])).
% 4.96/1.08 fof(f4879,plain,(
% 4.96/1.08 $false),
% 4.96/1.08 inference(sat_refutation,[status(thm)],[f211,f777,f841,f3702,f4440,f4856])).
% 4.96/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 4.96/1.09 % Elapsed time: 0.736465 seconds
% 4.96/1.09 % CPU time: 5.378295 seconds
% 4.96/1.09 % Memory used: 131.457 MB
%------------------------------------------------------------------------------