TSTP Solution File: RNG057+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG057+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:32:44 EDT 2023
% Result : Theorem 251.17s 32.04s
% Output : CNFRefutation 252.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : RNG057+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n016.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:04:14 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 251.17/32.04 % Refutation found
% 251.17/32.04 % SZS status Theorem for theBenchmark: Theorem is valid
% 251.17/32.04 % SZS output start CNFRefutation for theBenchmark
% 251.17/32.04 fof(f11,axiom,(
% 251.17/32.04 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtasdt0(W0,W1)) ) )),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f20,axiom,(
% 251.17/32.04 (! [W0] :( aScalar0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f24,axiom,(
% 251.17/32.04 (! [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)) ) ) )),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f27,axiom,(
% 251.17/32.04 (! [W0] :( aScalar0(W0)=> sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) )),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f46,hypothesis,(
% 251.17/32.04 ( aScalar0(xC)& xC = sdtasasdt0(xp,xp) ) ),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f47,hypothesis,(
% 251.17/32.04 ( aScalar0(xD)& xD = sdtasasdt0(xq,xq) ) ),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f48,hypothesis,(
% 251.17/32.04 ( aScalar0(xE)& xE = sdtasasdt0(xp,xq) ) ),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f51,hypothesis,(
% 251.17/32.04 ( aScalar0(xH)& xH = sdtasdt0(xA,xB) ) ),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f56,hypothesis,(
% 251.17/32.04 sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f57,hypothesis,(
% 251.17/32.04 sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) ),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f58,hypothesis,(
% 251.17/32.04 xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)) ),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f59,conjecture,(
% 251.17/32.04 sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
% 251.17/32.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 251.17/32.04 fof(f60,negated_conjecture,(
% 251.17/32.04 ~(sdtlseqdt0(sdtasdt0(xP,xP),xN) )),
% 251.17/32.04 inference(negated_conjecture,[status(cth)],[f59])).
% 251.17/32.04 fof(f84,plain,(
% 251.17/32.04 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtasdt0(W0,W1)))),
% 251.17/32.04 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 251.17/32.04 fof(f85,plain,(
% 251.17/32.04 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtasdt0(X0,X1)))),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f84])).
% 251.17/32.04 fof(f114,plain,(
% 251.17/32.04 ![W0]: (~aScalar0(W0)|sdtlseqdt0(W0,W0))),
% 251.17/32.04 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 251.17/32.04 fof(f115,plain,(
% 251.17/32.04 ![X0]: (~aScalar0(X0)|sdtlseqdt0(X0,X0))),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f114])).
% 251.17/32.04 fof(f122,plain,(
% 251.17/32.04 ![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))))),
% 251.17/32.04 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 251.17/32.04 fof(f123,plain,(
% 251.17/32.04 ![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)))),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f122])).
% 251.17/32.04 fof(f129,plain,(
% 251.17/32.04 ![W0]: (~aScalar0(W0)|sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)))),
% 251.17/32.04 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 251.17/32.04 fof(f130,plain,(
% 251.17/32.04 ![X0]: (~aScalar0(X0)|sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)))),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f129])).
% 251.17/32.04 fof(f179,plain,(
% 251.17/32.04 aScalar0(xC)),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f46])).
% 251.17/32.04 fof(f181,plain,(
% 251.17/32.04 aScalar0(xD)),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f47])).
% 251.17/32.04 fof(f183,plain,(
% 251.17/32.04 aScalar0(xE)),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f48])).
% 251.17/32.04 fof(f189,plain,(
% 251.17/32.04 aScalar0(xH)),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f51])).
% 251.17/32.04 fof(f199,plain,(
% 251.17/32.04 sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f56])).
% 251.17/32.04 fof(f200,plain,(
% 251.17/32.04 sdtasdt0(xP,xP)=sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f57])).
% 251.17/32.04 fof(f201,plain,(
% 251.17/32.04 xN=sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD))),
% 251.17/32.04 inference(cnf_transformation,[status(esa)],[f58])).
% 251.17/32.04 fof(f202,plain,(
% 251.17/32.04 ~sdtlseqdt0(sdtasdt0(xP,xP),xN)),
% 251.17/32.06 inference(cnf_transformation,[status(esa)],[f60])).
% 251.17/32.06 fof(f223,plain,(
% 251.17/32.06 spl0_4 <=> aScalar0(xE)),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f225,plain,(
% 251.17/32.06 ~aScalar0(xE)|spl0_4),
% 251.17/32.06 inference(component_clause,[status(thm)],[f223])).
% 251.17/32.06 fof(f226,plain,(
% 251.17/32.06 spl0_5 <=> aScalar0(xH)),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f228,plain,(
% 251.17/32.06 ~aScalar0(xH)|spl0_5),
% 251.17/32.06 inference(component_clause,[status(thm)],[f226])).
% 251.17/32.06 fof(f234,plain,(
% 251.17/32.06 $false|spl0_5),
% 251.17/32.06 inference(forward_subsumption_resolution,[status(thm)],[f228,f189])).
% 251.17/32.06 fof(f235,plain,(
% 251.17/32.06 spl0_5),
% 251.17/32.06 inference(contradiction_clause,[status(thm)],[f234])).
% 251.17/32.06 fof(f236,plain,(
% 251.17/32.06 $false|spl0_4),
% 251.17/32.06 inference(forward_subsumption_resolution,[status(thm)],[f225,f183])).
% 251.17/32.06 fof(f237,plain,(
% 251.17/32.06 spl0_4),
% 251.17/32.06 inference(contradiction_clause,[status(thm)],[f236])).
% 251.17/32.06 fof(f263,plain,(
% 251.17/32.06 spl0_11 <=> aScalar0(sdtasdt0(xH,xH))),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f264,plain,(
% 251.17/32.06 aScalar0(sdtasdt0(xH,xH))|~spl0_11),
% 251.17/32.06 inference(component_clause,[status(thm)],[f263])).
% 251.17/32.06 fof(f265,plain,(
% 251.17/32.06 ~aScalar0(sdtasdt0(xH,xH))|spl0_11),
% 251.17/32.06 inference(component_clause,[status(thm)],[f263])).
% 251.17/32.06 fof(f266,plain,(
% 251.17/32.06 spl0_12 <=> aScalar0(sdtasdt0(xC,xD))),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f268,plain,(
% 251.17/32.06 ~aScalar0(sdtasdt0(xC,xD))|spl0_12),
% 251.17/32.06 inference(component_clause,[status(thm)],[f266])).
% 251.17/32.06 fof(f311,plain,(
% 251.17/32.06 spl0_18 <=> aScalar0(sdtasdt0(xE,xE))),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f313,plain,(
% 251.17/32.06 ~aScalar0(sdtasdt0(xE,xE))|spl0_18),
% 251.17/32.06 inference(component_clause,[status(thm)],[f311])).
% 251.17/32.06 fof(f866,plain,(
% 251.17/32.06 spl0_119 <=> aScalar0(xC)),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f868,plain,(
% 251.17/32.06 ~aScalar0(xC)|spl0_119),
% 251.17/32.06 inference(component_clause,[status(thm)],[f866])).
% 251.17/32.06 fof(f869,plain,(
% 251.17/32.06 spl0_120 <=> aScalar0(xD)),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f871,plain,(
% 251.17/32.06 ~aScalar0(xD)|spl0_120),
% 251.17/32.06 inference(component_clause,[status(thm)],[f869])).
% 251.17/32.06 fof(f872,plain,(
% 251.17/32.06 ~aScalar0(xC)|~aScalar0(xD)|spl0_12),
% 251.17/32.06 inference(resolution,[status(thm)],[f268,f85])).
% 251.17/32.06 fof(f873,plain,(
% 251.17/32.06 ~spl0_119|~spl0_120|spl0_12),
% 251.17/32.06 inference(split_clause,[status(thm)],[f872,f866,f869,f266])).
% 251.17/32.06 fof(f874,plain,(
% 251.17/32.06 $false|spl0_120),
% 251.17/32.06 inference(forward_subsumption_resolution,[status(thm)],[f871,f181])).
% 251.17/32.06 fof(f875,plain,(
% 251.17/32.06 spl0_120),
% 251.17/32.06 inference(contradiction_clause,[status(thm)],[f874])).
% 251.17/32.06 fof(f876,plain,(
% 251.17/32.06 $false|spl0_119),
% 251.17/32.06 inference(forward_subsumption_resolution,[status(thm)],[f868,f179])).
% 251.17/32.06 fof(f877,plain,(
% 251.17/32.06 spl0_119),
% 251.17/32.06 inference(contradiction_clause,[status(thm)],[f876])).
% 251.17/32.06 fof(f878,plain,(
% 251.17/32.06 ~aScalar0(xH)|~aScalar0(xH)|spl0_11),
% 251.17/32.06 inference(resolution,[status(thm)],[f265,f85])).
% 251.17/32.06 fof(f879,plain,(
% 251.17/32.06 ~spl0_5|spl0_11),
% 251.17/32.06 inference(split_clause,[status(thm)],[f878,f226,f263])).
% 251.17/32.06 fof(f880,plain,(
% 251.17/32.06 ~aScalar0(xE)|~aScalar0(xE)|spl0_18),
% 251.17/32.06 inference(resolution,[status(thm)],[f313,f85])).
% 251.17/32.06 fof(f881,plain,(
% 251.17/32.06 ~spl0_4|spl0_18),
% 251.17/32.06 inference(split_clause,[status(thm)],[f880,f223,f311])).
% 251.17/32.06 fof(f6327,plain,(
% 251.17/32.06 spl0_1015 <=> sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f6329,plain,(
% 251.17/32.06 ~sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))|spl0_1015),
% 251.17/32.06 inference(component_clause,[status(thm)],[f6327])).
% 251.17/32.06 fof(f6341,plain,(
% 251.17/32.06 sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))|~spl0_11),
% 251.17/32.06 inference(resolution,[status(thm)],[f264,f115])).
% 251.17/32.06 fof(f6342,plain,(
% 251.17/32.06 $false|~spl0_11|spl0_1015),
% 251.17/32.06 inference(forward_subsumption_resolution,[status(thm)],[f6329,f6341])).
% 251.17/32.06 fof(f6343,plain,(
% 251.17/32.06 ~spl0_11|spl0_1015),
% 251.17/32.06 inference(contradiction_clause,[status(thm)],[f6342])).
% 251.17/32.06 fof(f6723,plain,(
% 251.17/32.06 spl0_1092 <=> sdtlseqdt0(sdtasdt0(xP,xP),xN)),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f6724,plain,(
% 251.17/32.06 sdtlseqdt0(sdtasdt0(xP,xP),xN)|~spl0_1092),
% 251.17/32.06 inference(component_clause,[status(thm)],[f6723])).
% 251.17/32.06 fof(f6865,plain,(
% 251.17/32.06 $false|~spl0_1092),
% 251.17/32.06 inference(forward_subsumption_resolution,[status(thm)],[f6724,f202])).
% 251.17/32.06 fof(f6866,plain,(
% 251.17/32.06 ~spl0_1092),
% 251.17/32.06 inference(contradiction_clause,[status(thm)],[f6865])).
% 251.17/32.06 fof(f6977,plain,(
% 251.17/32.06 spl0_1139 <=> sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))),
% 251.17/32.06 introduced(split_symbol_definition)).
% 251.17/32.06 fof(f6979,plain,(
% 252.21/32.13 ~sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))|spl0_1139),
% 252.21/32.13 inference(component_clause,[status(thm)],[f6977])).
% 252.21/32.13 fof(f20381,plain,(
% 252.21/32.13 sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))),
% 252.21/32.13 inference(resolution,[status(thm)],[f130,f183])).
% 252.21/32.13 fof(f22442,plain,(
% 252.21/32.13 $false|spl0_1139),
% 252.21/32.13 inference(forward_subsumption_resolution,[status(thm)],[f6979,f20381])).
% 252.21/32.13 fof(f22443,plain,(
% 252.21/32.13 spl0_1139),
% 252.21/32.13 inference(contradiction_clause,[status(thm)],[f22442])).
% 252.21/32.13 fof(f27154,plain,(
% 252.21/32.13 spl0_3628 <=> ~aScalar0(X0)|~aScalar0(X1)|~sdtlseqdt0(sdtasdt0(xH,xH),X0)|~sdtlseqdt0(sdtasdt0(xE,xE),X1)|sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(X0,X1))),
% 252.21/32.13 introduced(split_symbol_definition)).
% 252.21/32.13 fof(f27155,plain,(
% 252.21/32.13 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|~sdtlseqdt0(sdtasdt0(xH,xH),X0)|~sdtlseqdt0(sdtasdt0(xE,xE),X1)|sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(X0,X1))|~spl0_3628)),
% 252.21/32.13 inference(component_clause,[status(thm)],[f27154])).
% 252.21/32.13 fof(f27157,plain,(
% 252.21/32.13 ![X0,X1]: (~aScalar0(sdtasdt0(xH,xH))|~aScalar0(X0)|~aScalar0(sdtasdt0(xE,xE))|~aScalar0(X1)|~sdtlseqdt0(sdtasdt0(xH,xH),X0)|~sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))|~sdtlseqdt0(sdtasdt0(xE,xE),X1)|sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(X0,X1)))),
% 252.21/32.13 inference(paramodulation,[status(thm)],[f200,f123])).
% 252.21/32.13 fof(f27158,plain,(
% 252.21/32.13 ~spl0_11|spl0_3628|~spl0_18|~spl0_1139),
% 252.21/32.13 inference(split_clause,[status(thm)],[f27157,f263,f27154,f311,f6977])).
% 252.21/32.13 fof(f30992,plain,(
% 252.21/32.13 spl0_4278 <=> sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))),
% 252.21/32.13 introduced(split_symbol_definition)).
% 252.21/32.13 fof(f30994,plain,(
% 252.21/32.13 ~sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))|spl0_4278),
% 252.21/32.13 inference(component_clause,[status(thm)],[f30992])).
% 252.21/32.13 fof(f30995,plain,(
% 252.21/32.13 ~aScalar0(sdtasdt0(xH,xH))|~aScalar0(sdtasdt0(xC,xD))|~sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))|~sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))|sdtlseqdt0(sdtasdt0(xP,xP),xN)|~spl0_3628),
% 252.21/32.13 inference(paramodulation,[status(thm)],[f201,f27155])).
% 252.21/32.13 fof(f30996,plain,(
% 252.21/32.13 ~spl0_11|~spl0_12|~spl0_1015|~spl0_4278|spl0_1092|~spl0_3628),
% 252.21/32.13 inference(split_clause,[status(thm)],[f30995,f263,f266,f6327,f30992,f6723,f27154])).
% 252.21/32.13 fof(f31028,plain,(
% 252.21/32.13 $false|spl0_4278),
% 252.21/32.13 inference(forward_subsumption_resolution,[status(thm)],[f30994,f199])).
% 252.21/32.13 fof(f31029,plain,(
% 252.21/32.13 spl0_4278),
% 252.21/32.13 inference(contradiction_clause,[status(thm)],[f31028])).
% 252.21/32.13 fof(f31030,plain,(
% 252.21/32.13 $false),
% 252.21/32.13 inference(sat_refutation,[status(thm)],[f235,f237,f873,f875,f877,f879,f881,f6343,f6866,f22443,f27158,f30996,f31029])).
% 252.21/32.13 % SZS output end CNFRefutation for theBenchmark.p
% 253.53/33.27 % Elapsed time: 32.759012 seconds
% 253.53/33.27 % CPU time: 244.601274 seconds
% 253.53/33.27 % Memory used: 619.930 MB
%------------------------------------------------------------------------------