TSTP Solution File: RNG065+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG065+1 : 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 20:37:51 EDT 2024
% Result : Theorem 14.48s 2.24s
% Output : CNFRefutation 14.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG065+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:32:28 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 14.48/2.24 % Refutation found
% 14.48/2.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.48/2.24 % SZS output start CNFRefutation for theBenchmark
% 14.48/2.24 fof(f10,axiom,(
% 14.48/2.24 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtpldt0(W0,W1)) ) )),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f11,axiom,(
% 14.48/2.24 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtasdt0(W0,W1)) ) )),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f22,axiom,(
% 14.48/2.24 (! [W0,W1,W2] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f23,axiom,(
% 14.48/2.24 (! [W0,W1,W2,W3] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2)& aScalar0(W3) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W2,W3) )=> sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) )),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f25,axiom,(
% 14.48/2.24 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> ( sdtlseqdt0(W0,W1)| sdtlseqdt0(W1,W0) ) ) )),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f52,hypothesis,(
% 14.48/2.24 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f53,hypothesis,(
% 14.48/2.24 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f54,hypothesis,(
% 14.48/2.24 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f55,hypothesis,(
% 14.48/2.24 ( aScalar0(xN)& xN = sdtasdt0(xR,xS) ) ),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f57,hypothesis,(
% 14.48/2.24 sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f64,hypothesis,(
% 14.48/2.24 sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f65,conjecture,(
% 14.48/2.24 sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
% 14.48/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.48/2.24 fof(f66,negated_conjecture,(
% 14.48/2.24 ~(sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) )),
% 14.48/2.24 inference(negated_conjecture,[status(cth)],[f65])).
% 14.48/2.24 fof(f88,plain,(
% 14.48/2.24 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtpldt0(W0,W1)))),
% 14.48/2.24 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 14.48/2.24 fof(f89,plain,(
% 14.48/2.24 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtpldt0(X0,X1)))),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f88])).
% 14.48/2.24 fof(f90,plain,(
% 14.48/2.24 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtasdt0(W0,W1)))),
% 14.48/2.24 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 14.48/2.24 fof(f91,plain,(
% 14.48/2.24 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtasdt0(X0,X1)))),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f90])).
% 14.48/2.24 fof(f124,plain,(
% 14.48/2.24 ![W0,W1,W2]: (((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 14.48/2.24 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 14.48/2.24 fof(f125,plain,(
% 14.48/2.24 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f124])).
% 14.48/2.24 fof(f126,plain,(
% 14.48/2.24 ![W0,W1,W2,W3]: ((((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|~aScalar0(W3))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W2,W3))|sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3))))),
% 14.48/2.24 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 14.48/2.24 fof(f127,plain,(
% 14.48/2.24 ![X0,X1,X2,X3]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X2,X3)|sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)))),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f126])).
% 14.48/2.24 fof(f130,plain,(
% 14.48/2.24 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|(sdtlseqdt0(W0,W1)|sdtlseqdt0(W1,W0)))),
% 14.48/2.24 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 14.48/2.24 fof(f131,plain,(
% 14.48/2.24 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f130])).
% 14.48/2.24 fof(f191,plain,(
% 14.48/2.24 aScalar0(xR)),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f52])).
% 14.48/2.24 fof(f193,plain,(
% 14.48/2.24 aScalar0(xP)),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f53])).
% 14.48/2.24 fof(f195,plain,(
% 14.48/2.24 aScalar0(xS)),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f54])).
% 14.48/2.24 fof(f197,plain,(
% 14.48/2.24 aScalar0(xN)),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f55])).
% 14.48/2.24 fof(f200,plain,(
% 14.48/2.24 sdtlseqdt0(sdtasdt0(xP,xP),xN)),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f57])).
% 14.48/2.24 fof(f209,plain,(
% 14.48/2.24 sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f64])).
% 14.48/2.24 fof(f210,plain,(
% 14.48/2.24 ~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))),
% 14.48/2.24 inference(cnf_transformation,[status(esa)],[f66])).
% 14.48/2.24 fof(f232,plain,(
% 14.48/2.24 spl0_4 <=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f234,plain,(
% 14.48/2.24 ~aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))|spl0_4),
% 14.48/2.24 inference(component_clause,[status(thm)],[f232])).
% 14.48/2.24 fof(f235,plain,(
% 14.48/2.24 spl0_5 <=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f237,plain,(
% 14.48/2.24 ~aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|spl0_5),
% 14.48/2.24 inference(component_clause,[status(thm)],[f235])).
% 14.48/2.24 fof(f243,plain,(
% 14.48/2.24 spl0_7 <=> aScalar0(sdtasdt0(xR,xR))),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f245,plain,(
% 14.48/2.24 ~aScalar0(sdtasdt0(xR,xR))|spl0_7),
% 14.48/2.24 inference(component_clause,[status(thm)],[f243])).
% 14.48/2.24 fof(f246,plain,(
% 14.48/2.24 spl0_8 <=> aScalar0(sdtasdt0(xS,xS))),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f248,plain,(
% 14.48/2.24 ~aScalar0(sdtasdt0(xS,xS))|spl0_8),
% 14.48/2.24 inference(component_clause,[status(thm)],[f246])).
% 14.48/2.24 fof(f249,plain,(
% 14.48/2.24 ~aScalar0(sdtasdt0(xR,xR))|~aScalar0(sdtasdt0(xS,xS))|spl0_5),
% 14.48/2.24 inference(resolution,[status(thm)],[f237,f89])).
% 14.48/2.24 fof(f250,plain,(
% 14.48/2.24 ~spl0_7|~spl0_8|spl0_5),
% 14.48/2.24 inference(split_clause,[status(thm)],[f249,f243,f246,f235])).
% 14.48/2.24 fof(f251,plain,(
% 14.48/2.24 spl0_9 <=> aScalar0(xS)),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f253,plain,(
% 14.48/2.24 ~aScalar0(xS)|spl0_9),
% 14.48/2.24 inference(component_clause,[status(thm)],[f251])).
% 14.48/2.24 fof(f254,plain,(
% 14.48/2.24 ~aScalar0(xS)|~aScalar0(xS)|spl0_8),
% 14.48/2.24 inference(resolution,[status(thm)],[f248,f91])).
% 14.48/2.24 fof(f255,plain,(
% 14.48/2.24 ~spl0_9|spl0_8),
% 14.48/2.24 inference(split_clause,[status(thm)],[f254,f251,f246])).
% 14.48/2.24 fof(f256,plain,(
% 14.48/2.24 $false|spl0_9),
% 14.48/2.24 inference(forward_subsumption_resolution,[status(thm)],[f253,f195])).
% 14.48/2.24 fof(f257,plain,(
% 14.48/2.24 spl0_9),
% 14.48/2.24 inference(contradiction_clause,[status(thm)],[f256])).
% 14.48/2.24 fof(f258,plain,(
% 14.48/2.24 spl0_10 <=> aScalar0(xR)),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f260,plain,(
% 14.48/2.24 ~aScalar0(xR)|spl0_10),
% 14.48/2.24 inference(component_clause,[status(thm)],[f258])).
% 14.48/2.24 fof(f261,plain,(
% 14.48/2.24 ~aScalar0(xR)|~aScalar0(xR)|spl0_7),
% 14.48/2.24 inference(resolution,[status(thm)],[f245,f91])).
% 14.48/2.24 fof(f262,plain,(
% 14.48/2.24 ~spl0_10|spl0_7),
% 14.48/2.24 inference(split_clause,[status(thm)],[f261,f258,f243])).
% 14.48/2.24 fof(f263,plain,(
% 14.48/2.24 $false|spl0_10),
% 14.48/2.24 inference(forward_subsumption_resolution,[status(thm)],[f260,f191])).
% 14.48/2.24 fof(f264,plain,(
% 14.48/2.24 spl0_10),
% 14.48/2.24 inference(contradiction_clause,[status(thm)],[f263])).
% 14.48/2.24 fof(f265,plain,(
% 14.48/2.24 spl0_11 <=> aScalar0(sdtasdt0(xP,xP))),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f267,plain,(
% 14.48/2.24 ~aScalar0(sdtasdt0(xP,xP))|spl0_11),
% 14.48/2.24 inference(component_clause,[status(thm)],[f265])).
% 14.48/2.24 fof(f268,plain,(
% 14.48/2.24 ~aScalar0(sdtasdt0(xP,xP))|~aScalar0(sdtasdt0(xP,xP))|spl0_4),
% 14.48/2.24 inference(resolution,[status(thm)],[f234,f89])).
% 14.48/2.24 fof(f269,plain,(
% 14.48/2.24 ~spl0_11|spl0_4),
% 14.48/2.24 inference(split_clause,[status(thm)],[f268,f265,f232])).
% 14.48/2.24 fof(f270,plain,(
% 14.48/2.24 spl0_12 <=> aScalar0(xP)),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f272,plain,(
% 14.48/2.24 ~aScalar0(xP)|spl0_12),
% 14.48/2.24 inference(component_clause,[status(thm)],[f270])).
% 14.48/2.24 fof(f273,plain,(
% 14.48/2.24 ~aScalar0(xP)|~aScalar0(xP)|spl0_11),
% 14.48/2.24 inference(resolution,[status(thm)],[f267,f91])).
% 14.48/2.24 fof(f274,plain,(
% 14.48/2.24 ~spl0_12|spl0_11),
% 14.48/2.24 inference(split_clause,[status(thm)],[f273,f270,f265])).
% 14.48/2.24 fof(f275,plain,(
% 14.48/2.24 $false|spl0_12),
% 14.48/2.24 inference(forward_subsumption_resolution,[status(thm)],[f272,f193])).
% 14.48/2.24 fof(f276,plain,(
% 14.48/2.24 spl0_12),
% 14.48/2.24 inference(contradiction_clause,[status(thm)],[f275])).
% 14.48/2.24 fof(f277,plain,(
% 14.48/2.24 spl0_13 <=> ~aScalar0(X0)|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)|~sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f278,plain,(
% 14.48/2.24 ![X0]: (~aScalar0(X0)|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)|~sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|~spl0_13)),
% 14.48/2.24 inference(component_clause,[status(thm)],[f277])).
% 14.48/2.24 fof(f280,plain,(
% 14.48/2.24 ![X0]: (~aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))|~aScalar0(X0)|~aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)|~sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))))),
% 14.48/2.24 inference(resolution,[status(thm)],[f125,f210])).
% 14.48/2.24 fof(f281,plain,(
% 14.48/2.24 ~spl0_4|spl0_13|~spl0_5),
% 14.48/2.24 inference(split_clause,[status(thm)],[f280,f232,f277,f235])).
% 14.48/2.24 fof(f282,plain,(
% 14.48/2.24 spl0_14 <=> ~aScalar0(X0)|~sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|~aScalar0(X1)|~aScalar0(X0)|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X1)|~sdtlseqdt0(X1,X0)),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f283,plain,(
% 14.48/2.24 ![X0,X1]: (~aScalar0(X0)|~sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|~aScalar0(X1)|~aScalar0(X0)|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X1)|~sdtlseqdt0(X1,X0)|~spl0_14)),
% 14.48/2.24 inference(component_clause,[status(thm)],[f282])).
% 14.48/2.24 fof(f285,plain,(
% 14.48/2.24 ![X0,X1]: (~aScalar0(X0)|~sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|~aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))|~aScalar0(X1)|~aScalar0(X0)|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X1)|~sdtlseqdt0(X1,X0)|~spl0_13)),
% 14.48/2.24 inference(resolution,[status(thm)],[f278,f125])).
% 14.48/2.24 fof(f286,plain,(
% 14.48/2.24 spl0_14|~spl0_4|~spl0_13),
% 14.48/2.24 inference(split_clause,[status(thm)],[f285,f282,f232,f277])).
% 14.48/2.24 fof(f309,plain,(
% 14.48/2.24 ![X0,X1]: (~aScalar0(X0)|~sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|~aScalar0(X1)|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X1)|~sdtlseqdt0(X1,X0)|~spl0_14)),
% 14.48/2.24 inference(duplicate_literals_removal,[status(esa)],[f283])).
% 14.48/2.24 fof(f349,plain,(
% 14.48/2.24 spl0_22 <=> sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f351,plain,(
% 14.48/2.24 ~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))|spl0_22),
% 14.48/2.24 inference(component_clause,[status(thm)],[f349])).
% 14.48/2.24 fof(f370,plain,(
% 14.48/2.24 spl0_25 <=> aScalar0(xN)),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f372,plain,(
% 14.48/2.24 ~aScalar0(xN)|spl0_25),
% 14.48/2.24 inference(component_clause,[status(thm)],[f370])).
% 14.48/2.24 fof(f410,plain,(
% 14.48/2.24 $false|spl0_25),
% 14.48/2.24 inference(forward_subsumption_resolution,[status(thm)],[f372,f197])).
% 14.48/2.24 fof(f411,plain,(
% 14.48/2.24 spl0_25),
% 14.48/2.24 inference(contradiction_clause,[status(thm)],[f410])).
% 14.48/2.24 fof(f1533,plain,(
% 14.48/2.24 spl0_83 <=> sdtlseqdt0(sdtasdt0(xP,xP),xN)),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f1535,plain,(
% 14.48/2.24 ~sdtlseqdt0(sdtasdt0(xP,xP),xN)|spl0_83),
% 14.48/2.24 inference(component_clause,[status(thm)],[f1533])).
% 14.48/2.24 fof(f2250,plain,(
% 14.48/2.24 ![X0,X1,X2,X3]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X2,X3)|~aScalar0(sdtpldt0(X1,X3))|~sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|~aScalar0(sdtpldt0(X0,X2))|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(X0,X2))|~spl0_14)),
% 14.48/2.24 inference(resolution,[status(thm)],[f127,f309])).
% 14.48/2.24 fof(f2251,plain,(
% 14.48/2.24 ![X0,X1,X2,X3]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X2,X3)|~aScalar0(sdtpldt0(X1,X3))|~sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(X0,X2))|~spl0_14)),
% 14.48/2.24 inference(forward_subsumption_resolution,[status(thm)],[f2250,f89])).
% 14.48/2.24 fof(f3373,plain,(
% 14.48/2.24 spl0_206 <=> aScalar0(sdtpldt0(xN,xN))),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f3375,plain,(
% 14.48/2.24 ~aScalar0(sdtpldt0(xN,xN))|spl0_206),
% 14.48/2.24 inference(component_clause,[status(thm)],[f3373])).
% 14.48/2.24 fof(f3376,plain,(
% 14.48/2.24 spl0_207 <=> sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))),
% 14.48/2.24 introduced(split_symbol_definition)).
% 14.48/2.24 fof(f3378,plain,(
% 14.48/2.24 ~sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|spl0_207),
% 14.48/2.25 inference(component_clause,[status(thm)],[f3376])).
% 14.48/2.25 fof(f3379,plain,(
% 14.48/2.25 ~aScalar0(sdtasdt0(xP,xP))|~aScalar0(xN)|~aScalar0(sdtasdt0(xP,xP))|~aScalar0(xN)|~aScalar0(sdtpldt0(xN,xN))|~sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))|~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))|~spl0_14),
% 14.48/2.25 inference(resolution,[status(thm)],[f2251,f200])).
% 14.48/2.25 fof(f3380,plain,(
% 14.48/2.25 ~spl0_11|~spl0_25|~spl0_206|~spl0_207|~spl0_22|~spl0_14),
% 14.48/2.25 inference(split_clause,[status(thm)],[f3379,f265,f370,f3373,f3376,f349,f282])).
% 14.48/2.25 fof(f3704,plain,(
% 14.48/2.25 $false|spl0_207),
% 14.48/2.25 inference(forward_subsumption_resolution,[status(thm)],[f3378,f209])).
% 14.48/2.25 fof(f3705,plain,(
% 14.48/2.25 spl0_207),
% 14.48/2.25 inference(contradiction_clause,[status(thm)],[f3704])).
% 14.48/2.25 fof(f3736,plain,(
% 14.48/2.25 ~aScalar0(xN)|~aScalar0(xN)|spl0_206),
% 14.48/2.25 inference(resolution,[status(thm)],[f3375,f89])).
% 14.48/2.25 fof(f3737,plain,(
% 14.48/2.25 ~spl0_25|spl0_206),
% 14.48/2.25 inference(split_clause,[status(thm)],[f3736,f370,f3373])).
% 14.48/2.25 fof(f3885,plain,(
% 14.48/2.25 $false|spl0_83),
% 14.48/2.25 inference(forward_subsumption_resolution,[status(thm)],[f1535,f200])).
% 14.48/2.25 fof(f3886,plain,(
% 14.48/2.25 spl0_83),
% 14.48/2.25 inference(contradiction_clause,[status(thm)],[f3885])).
% 14.48/2.25 fof(f4023,plain,(
% 14.48/2.25 ~aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))|~aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))|sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))|spl0_22),
% 14.48/2.25 inference(resolution,[status(thm)],[f351,f131])).
% 14.48/2.25 fof(f4024,plain,(
% 14.48/2.25 ~spl0_4|spl0_22),
% 14.48/2.25 inference(split_clause,[status(thm)],[f4023,f232,f349])).
% 14.48/2.25 fof(f4027,plain,(
% 14.48/2.25 $false),
% 14.48/2.25 inference(sat_refutation,[status(thm)],[f250,f255,f257,f262,f264,f269,f274,f276,f281,f286,f411,f3380,f3705,f3737,f3886,f4024])).
% 14.48/2.25 % SZS output end CNFRefutation for theBenchmark.p
% 14.98/2.29 % Elapsed time: 1.916962 seconds
% 14.98/2.29 % CPU time: 15.030246 seconds
% 14.98/2.29 % Total memory used: 171.770 MB
% 14.98/2.29 % Net memory used: 163.250 MB
%------------------------------------------------------------------------------