TSTP Solution File: RNG072+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 10.39s 1.71s
% Output : CNFRefutation 10.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n028.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 : Mon Apr 29 22:42:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 10.39/1.71 % Refutation found
% 10.39/1.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.39/1.71 % SZS output start CNFRefutation for theBenchmark
% 10.39/1.71 fof(f10,axiom,(
% 10.39/1.71 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtpldt0(W0,W1)) ) )),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f14,axiom,(
% 10.39/1.71 (! [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) ) ) )),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f24,axiom,(
% 10.39/1.71 (! [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)) ) ) )),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f52,hypothesis,(
% 10.39/1.71 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f53,hypothesis,(
% 10.39/1.71 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f54,hypothesis,(
% 10.39/1.71 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f55,hypothesis,(
% 10.39/1.71 ( aScalar0(xN)& xN = sdtasdt0(xR,xS) ) ),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f61,hypothesis,(
% 10.39/1.71 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f62,hypothesis,(
% 10.39/1.71 ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ) ),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f63,conjecture,(
% 10.39/1.71 sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
% 10.39/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.39/1.71 fof(f64,negated_conjecture,(
% 10.39/1.71 ~(sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) )),
% 10.39/1.71 inference(negated_conjecture,[status(cth)],[f63])).
% 10.39/1.71 fof(f86,plain,(
% 10.39/1.71 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtpldt0(W0,W1)))),
% 10.39/1.71 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 10.39/1.71 fof(f87,plain,(
% 10.39/1.71 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtpldt0(X0,X1)))),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f86])).
% 10.39/1.71 fof(f101,plain,(
% 10.39/1.71 ![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)))),
% 10.39/1.71 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 10.39/1.71 fof(f103,plain,(
% 10.39/1.71 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0))),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f101])).
% 10.39/1.71 fof(f126,plain,(
% 10.39/1.71 ![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))))),
% 10.39/1.71 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 10.39/1.71 fof(f127,plain,(
% 10.39/1.71 ![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)))),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f126])).
% 10.39/1.71 fof(f189,plain,(
% 10.39/1.71 aScalar0(xR)),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f52])).
% 10.39/1.71 fof(f191,plain,(
% 10.39/1.71 aScalar0(xP)),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f53])).
% 10.39/1.71 fof(f193,plain,(
% 10.39/1.71 aScalar0(xS)),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f54])).
% 10.39/1.71 fof(f195,plain,(
% 10.39/1.71 aScalar0(xN)),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f55])).
% 10.39/1.71 fof(f202,plain,(
% 10.39/1.71 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f61])).
% 10.39/1.71 fof(f203,plain,(
% 10.39/1.71 sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f62])).
% 10.39/1.71 fof(f205,plain,(
% 10.39/1.71 ~sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),
% 10.39/1.71 inference(cnf_transformation,[status(esa)],[f64])).
% 10.39/1.72 fof(f206,plain,(
% 10.39/1.72 spl0_0 <=> ~aScalar0(X0)),
% 10.39/1.72 introduced(split_symbol_definition)).
% 10.39/1.72 fof(f207,plain,(
% 10.39/1.72 ![X0]: (~aScalar0(X0)|~spl0_0)),
% 10.39/1.72 inference(component_clause,[status(thm)],[f206])).
% 10.39/1.72 fof(f213,plain,(
% 10.39/1.72 spl0_2 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0)),
% 10.39/1.72 introduced(split_symbol_definition)).
% 10.39/1.72 fof(f214,plain,(
% 10.39/1.72 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0)|~spl0_2)),
% 10.39/1.72 inference(component_clause,[status(thm)],[f213])).
% 10.39/1.72 fof(f216,plain,(
% 10.39/1.72 spl0_2|spl0_0),
% 10.39/1.72 inference(split_clause,[status(thm)],[f103,f213,f206])).
% 10.39/1.72 fof(f236,plain,(
% 10.39/1.72 spl0_4 <=> aScalar0(xS)),
% 10.39/1.72 introduced(split_symbol_definition)).
% 10.39/1.72 fof(f238,plain,(
% 10.39/1.72 ~aScalar0(xS)|spl0_4),
% 10.39/1.72 inference(component_clause,[status(thm)],[f236])).
% 10.39/1.72 fof(f249,plain,(
% 10.39/1.72 $false|spl0_4),
% 10.39/1.72 inference(forward_subsumption_resolution,[status(thm)],[f238,f193])).
% 10.39/1.72 fof(f250,plain,(
% 10.39/1.72 spl0_4),
% 10.39/1.72 inference(contradiction_clause,[status(thm)],[f249])).
% 10.39/1.72 fof(f251,plain,(
% 10.39/1.72 spl0_7 <=> aScalar0(xP)),
% 10.39/1.72 introduced(split_symbol_definition)).
% 10.39/1.72 fof(f253,plain,(
% 10.39/1.72 ~aScalar0(xP)|spl0_7),
% 10.39/1.72 inference(component_clause,[status(thm)],[f251])).
% 10.39/1.72 fof(f264,plain,(
% 10.39/1.72 $false|spl0_7),
% 10.39/1.72 inference(forward_subsumption_resolution,[status(thm)],[f253,f191])).
% 10.39/1.72 fof(f265,plain,(
% 10.39/1.72 spl0_7),
% 10.39/1.72 inference(contradiction_clause,[status(thm)],[f264])).
% 10.39/1.72 fof(f397,plain,(
% 10.39/1.72 $false|~spl0_0),
% 10.39/1.72 inference(backward_subsumption_resolution,[status(thm)],[f195,f207])).
% 10.39/1.72 fof(f398,plain,(
% 10.39/1.72 ~spl0_0),
% 10.39/1.72 inference(contradiction_clause,[status(thm)],[f397])).
% 10.39/1.72 fof(f400,plain,(
% 10.39/1.72 ![X0]: (~aScalar0(X0)|sdtpldt0(X0,xS)=sdtpldt0(xS,X0)|~spl0_2)),
% 10.39/1.72 inference(resolution,[status(thm)],[f193,f214])).
% 10.39/1.72 fof(f409,plain,(
% 10.39/1.72 sdtpldt0(xR,xS)=sdtpldt0(xS,xR)|~spl0_2),
% 10.39/1.72 inference(resolution,[status(thm)],[f189,f400])).
% 10.39/1.72 fof(f429,plain,(
% 10.39/1.72 spl0_10 <=> aScalar0(xR)),
% 10.39/1.72 introduced(split_symbol_definition)).
% 10.39/1.72 fof(f431,plain,(
% 10.39/1.72 ~aScalar0(xR)|spl0_10),
% 10.39/1.72 inference(component_clause,[status(thm)],[f429])).
% 10.39/1.72 fof(f447,plain,(
% 10.39/1.72 $false|spl0_10),
% 10.39/1.72 inference(forward_subsumption_resolution,[status(thm)],[f431,f189])).
% 10.39/1.72 fof(f448,plain,(
% 10.39/1.72 spl0_10),
% 10.39/1.72 inference(contradiction_clause,[status(thm)],[f447])).
% 10.39/1.72 fof(f560,plain,(
% 10.39/1.72 spl0_17 <=> aScalar0(sdtpldt0(xR,xS))),
% 10.39/1.72 introduced(split_symbol_definition)).
% 10.39/1.72 fof(f563,plain,(
% 10.39/1.72 ~aScalar0(xS)|~aScalar0(xR)|aScalar0(sdtpldt0(xR,xS))|~spl0_2),
% 10.39/1.72 inference(paramodulation,[status(thm)],[f409,f87])).
% 10.39/1.72 fof(f564,plain,(
% 10.39/1.72 ~spl0_4|~spl0_10|spl0_17|~spl0_2),
% 10.39/1.72 inference(split_clause,[status(thm)],[f563,f236,f429,f560,f213])).
% 10.39/1.72 fof(f8299,plain,(
% 10.39/1.72 spl0_662 <=> aScalar0(sdtpldt0(xP,xP))),
% 10.39/1.72 introduced(split_symbol_definition)).
% 10.39/1.72 fof(f8301,plain,(
% 10.39/1.72 ~aScalar0(sdtpldt0(xP,xP))|spl0_662),
% 10.39/1.72 inference(component_clause,[status(thm)],[f8299])).
% 10.39/1.72 fof(f8302,plain,(
% 10.39/1.72 spl0_663 <=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),
% 10.39/1.72 introduced(split_symbol_definition)).
% 10.39/1.72 fof(f8304,plain,(
% 10.39/1.72 ~sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))|spl0_663),
% 10.39/1.72 inference(component_clause,[status(thm)],[f8302])).
% 10.39/1.72 fof(f8305,plain,(
% 10.39/1.72 spl0_664 <=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))),
% 10.39/1.72 introduced(split_symbol_definition)).
% 10.39/1.72 fof(f8307,plain,(
% 10.39/1.72 ~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))|spl0_664),
% 10.39/1.72 inference(component_clause,[status(thm)],[f8305])).
% 10.39/1.72 fof(f8308,plain,(
% 10.39/1.72 ~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))),
% 10.39/1.72 inference(resolution,[status(thm)],[f127,f205])).
% 10.39/1.72 fof(f8309,plain,(
% 10.39/1.72 ~spl0_17|~spl0_662|~spl0_663|~spl0_664),
% 10.39/1.72 inference(split_clause,[status(thm)],[f8308,f560,f8299,f8302,f8305])).
% 10.39/1.72 fof(f8846,plain,(
% 10.39/1.72 $false|spl0_664),
% 10.39/1.72 inference(forward_subsumption_resolution,[status(thm)],[f8307,f203])).
% 10.39/1.72 fof(f8847,plain,(
% 10.39/1.72 spl0_664),
% 10.39/1.72 inference(contradiction_clause,[status(thm)],[f8846])).
% 10.39/1.72 fof(f8848,plain,(
% 10.39/1.72 $false|spl0_663),
% 10.39/1.72 inference(forward_subsumption_resolution,[status(thm)],[f8304,f202])).
% 10.39/1.72 fof(f8849,plain,(
% 10.39/1.72 spl0_663),
% 10.39/1.72 inference(contradiction_clause,[status(thm)],[f8848])).
% 10.39/1.72 fof(f8947,plain,(
% 10.39/1.73 ~aScalar0(xP)|~aScalar0(xP)|spl0_662),
% 10.39/1.73 inference(resolution,[status(thm)],[f8301,f87])).
% 10.39/1.73 fof(f8948,plain,(
% 10.39/1.73 ~spl0_7|spl0_662),
% 10.39/1.73 inference(split_clause,[status(thm)],[f8947,f251,f8299])).
% 10.39/1.73 fof(f8949,plain,(
% 10.39/1.73 $false),
% 10.39/1.73 inference(sat_refutation,[status(thm)],[f216,f250,f265,f398,f448,f564,f8309,f8847,f8849,f8948])).
% 10.39/1.73 % SZS output end CNFRefutation for theBenchmark.p
% 10.75/1.75 % Elapsed time: 1.384646 seconds
% 10.75/1.75 % CPU time: 10.750623 seconds
% 10.75/1.75 % Total memory used: 154.205 MB
% 10.75/1.75 % Net memory used: 146.953 MB
%------------------------------------------------------------------------------