TSTP Solution File: RNG072+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG072+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:37:53 EDT 2024
% Result : Theorem 8.76s 1.51s
% Output : CNFRefutation 8.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG072+2 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:31:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.36 % Drodi V3.6.0
% 8.76/1.51 % Refutation found
% 8.76/1.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.76/1.51 % SZS output start CNFRefutation for theBenchmark
% 8.76/1.51 fof(f10,axiom,(
% 8.76/1.51 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtpldt0(W0,W1)) ) )),
% 8.76/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.76/1.51 fof(f14,axiom,(
% 8.76/1.51 (! [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) ) ) )),
% 8.76/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.76/1.51 fof(f24,axiom,(
% 8.76/1.51 (! [W0,W1,W2,W3] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2)& aScalar0(W3) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(sz0z00,W2)& sdtlseqdt0(W2,W3) )=> sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) )),
% 8.76/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.76/1.51 fof(f52,hypothesis,(
% 8.76/1.51 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 8.76/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.76/1.51 fof(f53,hypothesis,(
% 8.76/1.51 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 8.76/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.76/1.51 fof(f54,hypothesis,(
% 8.76/1.51 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 8.76/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.76/1.51 fof(f61,hypothesis,(
% 8.76/1.51 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
% 8.76/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.76/1.51 fof(f62,hypothesis,(
% 8.76/1.51 ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ) ),
% 8.76/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.76/1.51 fof(f63,conjecture,(
% 8.76/1.51 sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
% 8.76/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.76/1.51 fof(f64,negated_conjecture,(
% 8.76/1.51 ~(sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) )),
% 8.76/1.51 inference(negated_conjecture,[status(cth)],[f63])).
% 8.76/1.51 fof(f86,plain,(
% 8.76/1.51 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtpldt0(W0,W1)))),
% 8.76/1.51 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 8.76/1.51 fof(f87,plain,(
% 8.76/1.51 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtpldt0(X0,X1)))),
% 8.76/1.51 inference(cnf_transformation,[status(esa)],[f86])).
% 8.76/1.51 fof(f101,plain,(
% 8.76/1.51 ![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)))),
% 8.76/1.51 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 8.76/1.51 fof(f103,plain,(
% 8.76/1.51 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0))),
% 8.76/1.51 inference(cnf_transformation,[status(esa)],[f101])).
% 8.76/1.51 fof(f126,plain,(
% 8.76/1.51 ![W0,W1,W2,W3]: ((((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|~aScalar0(W3))|(((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(sz0z00,W2))|~sdtlseqdt0(W2,W3))|sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3))))),
% 8.76/1.51 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 8.76/1.51 fof(f127,plain,(
% 8.76/1.51 ![X0,X1,X2,X3]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(X2,X3)|sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)))),
% 8.76/1.51 inference(cnf_transformation,[status(esa)],[f126])).
% 8.76/1.51 fof(f195,plain,(
% 8.76/1.51 aScalar0(xR)),
% 8.76/1.51 inference(cnf_transformation,[status(esa)],[f52])).
% 8.76/1.51 fof(f197,plain,(
% 8.76/1.51 aScalar0(xP)),
% 8.76/1.51 inference(cnf_transformation,[status(esa)],[f53])).
% 8.76/1.51 fof(f199,plain,(
% 8.76/1.51 aScalar0(xS)),
% 8.76/1.51 inference(cnf_transformation,[status(esa)],[f54])).
% 8.76/1.51 fof(f208,plain,(
% 8.76/1.51 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),
% 8.76/1.51 inference(cnf_transformation,[status(esa)],[f61])).
% 8.76/1.51 fof(f209,plain,(
% 8.76/1.51 sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))),
% 8.76/1.51 inference(cnf_transformation,[status(esa)],[f62])).
% 8.76/1.51 fof(f211,plain,(
% 8.76/1.51 ~sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),
% 8.76/1.51 inference(cnf_transformation,[status(esa)],[f64])).
% 8.76/1.51 fof(f212,plain,(
% 8.76/1.51 spl0_0 <=> ~aScalar0(X0)),
% 8.76/1.51 introduced(split_symbol_definition)).
% 8.76/1.51 fof(f213,plain,(
% 8.76/1.51 ![X0]: (~aScalar0(X0)|~spl0_0)),
% 8.76/1.51 inference(component_clause,[status(thm)],[f212])).
% 8.76/1.51 fof(f219,plain,(
% 8.76/1.51 spl0_2 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0)),
% 8.76/1.51 introduced(split_symbol_definition)).
% 8.76/1.51 fof(f220,plain,(
% 8.76/1.51 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0)|~spl0_2)),
% 8.76/1.51 inference(component_clause,[status(thm)],[f219])).
% 8.76/1.51 fof(f222,plain,(
% 8.76/1.51 spl0_2|spl0_0),
% 8.76/1.51 inference(split_clause,[status(thm)],[f103,f219,f212])).
% 8.76/1.51 fof(f240,plain,(
% 8.76/1.51 spl0_4 <=> aScalar0(xS)),
% 8.76/1.51 introduced(split_symbol_definition)).
% 8.76/1.51 fof(f242,plain,(
% 8.76/1.51 ~aScalar0(xS)|spl0_4),
% 8.76/1.51 inference(component_clause,[status(thm)],[f240])).
% 8.76/1.51 fof(f248,plain,(
% 8.76/1.51 $false|spl0_4),
% 8.76/1.51 inference(forward_subsumption_resolution,[status(thm)],[f242,f199])).
% 8.76/1.51 fof(f249,plain,(
% 8.76/1.51 spl0_4),
% 8.76/1.51 inference(contradiction_clause,[status(thm)],[f248])).
% 8.76/1.51 fof(f250,plain,(
% 8.76/1.51 spl0_6 <=> aScalar0(xP)),
% 8.76/1.51 introduced(split_symbol_definition)).
% 8.76/1.51 fof(f252,plain,(
% 8.76/1.51 ~aScalar0(xP)|spl0_6),
% 8.76/1.51 inference(component_clause,[status(thm)],[f250])).
% 8.76/1.51 fof(f258,plain,(
% 8.76/1.51 $false|spl0_6),
% 8.76/1.51 inference(forward_subsumption_resolution,[status(thm)],[f252,f197])).
% 8.76/1.51 fof(f259,plain,(
% 8.76/1.51 spl0_6),
% 8.76/1.51 inference(contradiction_clause,[status(thm)],[f258])).
% 8.76/1.51 fof(f260,plain,(
% 8.76/1.51 spl0_8 <=> aScalar0(xR)),
% 8.76/1.51 introduced(split_symbol_definition)).
% 8.76/1.51 fof(f262,plain,(
% 8.76/1.51 ~aScalar0(xR)|spl0_8),
% 8.76/1.51 inference(component_clause,[status(thm)],[f260])).
% 8.76/1.51 fof(f268,plain,(
% 8.76/1.51 $false|spl0_8),
% 8.76/1.51 inference(forward_subsumption_resolution,[status(thm)],[f262,f195])).
% 8.76/1.51 fof(f269,plain,(
% 8.76/1.51 spl0_8),
% 8.76/1.51 inference(contradiction_clause,[status(thm)],[f268])).
% 8.76/1.51 fof(f841,plain,(
% 8.76/1.51 $false|~spl0_0),
% 8.76/1.51 inference(backward_subsumption_resolution,[status(thm)],[f199,f213])).
% 8.76/1.51 fof(f842,plain,(
% 8.76/1.51 ~spl0_0),
% 8.76/1.51 inference(contradiction_clause,[status(thm)],[f841])).
% 8.76/1.51 fof(f879,plain,(
% 8.76/1.51 ![X0]: (~aScalar0(X0)|sdtpldt0(X0,xR)=sdtpldt0(xR,X0)|~spl0_2)),
% 8.76/1.51 inference(resolution,[status(thm)],[f220,f195])).
% 8.76/1.51 fof(f894,plain,(
% 8.76/1.51 sdtpldt0(xS,xR)=sdtpldt0(xR,xS)|~spl0_2),
% 8.76/1.51 inference(resolution,[status(thm)],[f879,f199])).
% 8.76/1.51 fof(f909,plain,(
% 8.76/1.51 spl0_47 <=> aScalar0(sdtpldt0(xR,xS))),
% 8.76/1.51 introduced(split_symbol_definition)).
% 8.76/1.51 fof(f912,plain,(
% 8.76/1.51 ~aScalar0(xS)|~aScalar0(xR)|aScalar0(sdtpldt0(xR,xS))|~spl0_2),
% 8.76/1.51 inference(paramodulation,[status(thm)],[f894,f87])).
% 8.76/1.51 fof(f913,plain,(
% 8.76/1.51 ~spl0_4|~spl0_8|spl0_47|~spl0_2),
% 8.76/1.51 inference(split_clause,[status(thm)],[f912,f240,f260,f909,f219])).
% 8.76/1.51 fof(f6538,plain,(
% 8.76/1.51 spl0_392 <=> aScalar0(sdtpldt0(xP,xP))),
% 8.76/1.51 introduced(split_symbol_definition)).
% 8.76/1.51 fof(f6540,plain,(
% 8.76/1.51 ~aScalar0(sdtpldt0(xP,xP))|spl0_392),
% 8.76/1.51 inference(component_clause,[status(thm)],[f6538])).
% 8.76/1.51 fof(f6541,plain,(
% 8.76/1.51 spl0_393 <=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),
% 8.76/1.51 introduced(split_symbol_definition)).
% 8.76/1.51 fof(f6543,plain,(
% 8.76/1.51 ~sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))|spl0_393),
% 8.76/1.51 inference(component_clause,[status(thm)],[f6541])).
% 8.76/1.51 fof(f6544,plain,(
% 8.76/1.51 spl0_394 <=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))),
% 8.76/1.51 introduced(split_symbol_definition)).
% 8.76/1.51 fof(f6546,plain,(
% 8.76/1.51 ~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))|spl0_394),
% 8.76/1.51 inference(component_clause,[status(thm)],[f6544])).
% 8.76/1.51 fof(f6547,plain,(
% 8.76/1.51 ~aScalar0(sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))|~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))|~sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),
% 8.76/1.51 inference(resolution,[status(thm)],[f127,f211])).
% 8.76/1.51 fof(f6548,plain,(
% 8.76/1.51 ~spl0_47|~spl0_392|~spl0_393|~spl0_394),
% 8.76/1.51 inference(split_clause,[status(thm)],[f6547,f909,f6538,f6541,f6544])).
% 8.76/1.51 fof(f6658,plain,(
% 8.76/1.51 $false|spl0_394),
% 8.76/1.51 inference(forward_subsumption_resolution,[status(thm)],[f6546,f209])).
% 8.76/1.51 fof(f6659,plain,(
% 8.76/1.51 spl0_394),
% 8.76/1.51 inference(contradiction_clause,[status(thm)],[f6658])).
% 8.76/1.51 fof(f6756,plain,(
% 8.76/1.51 $false|spl0_393),
% 8.76/1.51 inference(forward_subsumption_resolution,[status(thm)],[f6543,f208])).
% 8.76/1.51 fof(f6757,plain,(
% 8.76/1.51 spl0_393),
% 8.76/1.51 inference(contradiction_clause,[status(thm)],[f6756])).
% 8.76/1.51 fof(f6791,plain,(
% 8.76/1.51 ~aScalar0(xP)|~aScalar0(xP)|spl0_392),
% 8.76/1.51 inference(resolution,[status(thm)],[f6540,f87])).
% 8.76/1.51 fof(f6792,plain,(
% 8.76/1.51 ~spl0_6|spl0_392),
% 8.76/1.51 inference(split_clause,[status(thm)],[f6791,f250,f6538])).
% 8.76/1.51 fof(f6793,plain,(
% 8.76/1.51 $false),
% 8.76/1.51 inference(sat_refutation,[status(thm)],[f222,f249,f259,f269,f842,f913,f6548,f6659,f6757,f6792])).
% 8.76/1.52 % SZS output end CNFRefutation for theBenchmark.p
% 9.18/1.54 % Elapsed time: 1.173366 seconds
% 9.18/1.54 % CPU time: 9.210578 seconds
% 9.18/1.54 % Total memory used: 165.722 MB
% 9.18/1.54 % Net memory used: 157.834 MB
%------------------------------------------------------------------------------