TSTP Solution File: RNG108+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG108+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:32:55 EDT 2023
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : RNG108+4 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:36:46 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.32 fof(f2,axiom,(
% 0.14/0.32 aElement0(sz00) ),
% 0.14/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f3,axiom,(
% 0.14/0.32 aElement0(sz10) ),
% 0.14/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f6,axiom,(
% 0.14/0.32 (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> aElement0(sdtasdt0(W0,W1)) ) )),
% 0.14/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f13,axiom,(
% 0.14/0.32 (! [W0] :( aElement0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 0.14/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f16,axiom,(
% 0.14/0.32 (! [W0] :( aElement0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 0.14/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f41,hypothesis,(
% 0.14/0.32 ( aElement0(xc)& (? [W0] :( aElement0(W0)& sdtasdt0(xc,W0) = xa ))& doDivides0(xc,xa)& aDivisorOf0(xc,xa)& aElement0(xc)& (? [W0] :( aElement0(W0)& sdtasdt0(xc,W0) = xb ))& doDivides0(xc,xb)& aDivisorOf0(xc,xb)& (! [W0] :( ( ( ( aElement0(W0)& ( (? [W1] :( aElement0(W1)& sdtasdt0(W0,W1) = xa ))| doDivides0(W0,xa) ) )| aDivisorOf0(W0,xa) )& ( (? [W1] :( aElement0(W1)& sdtasdt0(W0,W1) = xb ))| doDivides0(W0,xb)| aDivisorOf0(W0,xb) ) )=> ( (? [W1] :( aElement0(W1)& sdtasdt0(W0,W1) = xc ))& doDivides0(W0,xc) ) ))& aGcdOfAnd0(xc,xa,xb) ) ),
% 0.14/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f43,conjecture,(
% 0.14/0.32 ( ( (? [W0] :( aElement0(W0)& sdtasdt0(xa,W0) = sz00 ))| aElementOf0(sz00,slsdtgt0(xa)) )& ( (? [W0] :( aElement0(W0)& sdtasdt0(xa,W0) = xa ))| aElementOf0(xa,slsdtgt0(xa)) )& ( (? [W0] :( aElement0(W0)& sdtasdt0(xb,W0) = sz00 ))| aElementOf0(sz00,slsdtgt0(xb)) )& ( (? [W0] :( aElement0(W0)& sdtasdt0(xb,W0) = xb ))| aElementOf0(xb,slsdtgt0(xb)) ) ) ),
% 0.14/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f44,negated_conjecture,(
% 0.14/0.32 ~(( ( (? [W0] :( aElement0(W0)& sdtasdt0(xa,W0) = sz00 ))| aElementOf0(sz00,slsdtgt0(xa)) )& ( (? [W0] :( aElement0(W0)& sdtasdt0(xa,W0) = xa ))| aElementOf0(xa,slsdtgt0(xa)) )& ( (? [W0] :( aElement0(W0)& sdtasdt0(xb,W0) = sz00 ))| aElementOf0(sz00,slsdtgt0(xb)) )& ( (? [W0] :( aElement0(W0)& sdtasdt0(xb,W0) = xb ))| aElementOf0(xb,slsdtgt0(xb)) ) ) )),
% 0.14/0.32 inference(negated_conjecture,[status(cth)],[f43])).
% 0.14/0.32 fof(f48,plain,(
% 0.14/0.32 aElement0(sz00)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.32 fof(f49,plain,(
% 0.14/0.32 aElement0(sz10)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.32 fof(f54,plain,(
% 0.14/0.32 ![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|aElement0(sdtasdt0(W0,W1)))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.14/0.32 fof(f55,plain,(
% 0.14/0.32 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|aElement0(sdtasdt0(X0,X1)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f54])).
% 0.14/0.32 fof(f70,plain,(
% 0.14/0.32 ![W0]: (~aElement0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.14/0.32 fof(f71,plain,(
% 0.14/0.32 ![X0]: (~aElement0(X0)|sdtasdt0(X0,sz10)=X0)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f70])).
% 0.14/0.32 fof(f79,plain,(
% 0.14/0.32 ![W0]: (~aElement0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.14/0.32 fof(f80,plain,(
% 0.14/0.32 ![X0]: (~aElement0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f79])).
% 0.14/0.32 fof(f200,plain,(
% 0.14/0.32 ((((((((aElement0(xc)&(?[W0]: (aElement0(W0)&sdtasdt0(xc,W0)=xa)))&doDivides0(xc,xa))&aDivisorOf0(xc,xa))&aElement0(xc))&(?[W0]: (aElement0(W0)&sdtasdt0(xc,W0)=xb)))&doDivides0(xc,xb))&aDivisorOf0(xc,xb))&(![W0]: ((((~aElement0(W0)|((![W1]: (~aElement0(W1)|~sdtasdt0(W0,W1)=xa))&~doDivides0(W0,xa)))&~aDivisorOf0(W0,xa))|(((![W1]: (~aElement0(W1)|~sdtasdt0(W0,W1)=xb))&~doDivides0(W0,xb))&~aDivisorOf0(W0,xb)))|((?[W1]: (aElement0(W1)&sdtasdt0(W0,W1)=xc))&doDivides0(W0,xc)))))&aGcdOfAnd0(xc,xa,xb)),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.14/0.32 fof(f201,plain,(
% 0.14/0.32 ![W0]: (pd0_3(W0)=>(((~aElement0(W0)|((![W1]: (~aElement0(W1)|~sdtasdt0(W0,W1)=xa))&~doDivides0(W0,xa)))&~aDivisorOf0(W0,xa))|(((![W1]: (~aElement0(W1)|~sdtasdt0(W0,W1)=xb))&~doDivides0(W0,xb))&~aDivisorOf0(W0,xb))))),
% 0.14/0.32 introduced(predicate_definition,[f200])).
% 0.14/0.32 fof(f202,plain,(
% 0.14/0.32 ((((((((aElement0(xc)&(?[W0]: (aElement0(W0)&sdtasdt0(xc,W0)=xa)))&doDivides0(xc,xa))&aDivisorOf0(xc,xa))&aElement0(xc))&(?[W0]: (aElement0(W0)&sdtasdt0(xc,W0)=xb)))&doDivides0(xc,xb))&aDivisorOf0(xc,xb))&(![W0]: (pd0_3(W0)|((?[W1]: (aElement0(W1)&sdtasdt0(W0,W1)=xc))&doDivides0(W0,xc)))))&aGcdOfAnd0(xc,xa,xb)),
% 0.14/0.32 inference(formula_renaming,[status(thm)],[f200,f201])).
% 0.14/0.32 fof(f203,plain,(
% 0.14/0.32 ((((((((aElement0(xc)&(aElement0(sk0_20)&sdtasdt0(xc,sk0_20)=xa))&doDivides0(xc,xa))&aDivisorOf0(xc,xa))&aElement0(xc))&(aElement0(sk0_21)&sdtasdt0(xc,sk0_21)=xb))&doDivides0(xc,xb))&aDivisorOf0(xc,xb))&(![W0]: (pd0_3(W0)|((aElement0(sk0_22(W0))&sdtasdt0(W0,sk0_22(W0))=xc)&doDivides0(W0,xc)))))&aGcdOfAnd0(xc,xa,xb)),
% 0.14/0.32 inference(skolemization,[status(esa)],[f202])).
% 0.14/0.32 fof(f204,plain,(
% 0.14/0.32 aElement0(xc)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f203])).
% 0.14/0.32 fof(f205,plain,(
% 0.14/0.32 aElement0(sk0_20)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f203])).
% 0.14/0.32 fof(f206,plain,(
% 0.14/0.32 sdtasdt0(xc,sk0_20)=xa),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f203])).
% 0.14/0.32 fof(f210,plain,(
% 0.14/0.32 aElement0(sk0_21)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f203])).
% 0.14/0.32 fof(f211,plain,(
% 0.14/0.32 sdtasdt0(xc,sk0_21)=xb),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f203])).
% 0.14/0.32 fof(f237,plain,(
% 0.14/0.32 (((((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xa)))|((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=xa))&~aElementOf0(xa,slsdtgt0(xa))))|((![W0]: (~aElement0(W0)|~sdtasdt0(xb,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xb))))|((![W0]: (~aElement0(W0)|~sdtasdt0(xb,W0)=xb))&~aElementOf0(xb,slsdtgt0(xb))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.14/0.32 fof(f238,plain,(
% 0.14/0.32 pd0_4=>((((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xa)))|((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=xa))&~aElementOf0(xa,slsdtgt0(xa))))|((![W0]: (~aElement0(W0)|~sdtasdt0(xb,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xb))))),
% 0.14/0.32 introduced(predicate_definition,[f237])).
% 0.14/0.32 fof(f239,plain,(
% 0.14/0.32 pd0_4|((![W0]: (~aElement0(W0)|~sdtasdt0(xb,W0)=xb))&~aElementOf0(xb,slsdtgt0(xb)))),
% 0.14/0.32 inference(formula_renaming,[status(thm)],[f237,f238])).
% 0.14/0.32 fof(f240,plain,(
% 0.14/0.32 ![X0]: (pd0_4|~aElement0(X0)|~sdtasdt0(xb,X0)=xb)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f239])).
% 0.14/0.32 fof(f261,plain,(
% 0.14/0.32 ~pd0_4|((((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xa)))|((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=xa))&~aElementOf0(xa,slsdtgt0(xa))))|((![W0]: (~aElement0(W0)|~sdtasdt0(xb,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xb))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f238])).
% 0.14/0.32 fof(f262,plain,(
% 0.14/0.32 pd0_6=>(((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xa)))|((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=xa))&~aElementOf0(xa,slsdtgt0(xa))))),
% 0.14/0.32 introduced(predicate_definition,[f261])).
% 0.14/0.32 fof(f263,plain,(
% 0.14/0.32 ~pd0_4|(pd0_6|((![W0]: (~aElement0(W0)|~sdtasdt0(xb,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xb))))),
% 0.14/0.32 inference(formula_renaming,[status(thm)],[f261,f262])).
% 0.14/0.32 fof(f264,plain,(
% 0.14/0.32 ![X0]: (~pd0_4|pd0_6|~aElement0(X0)|~sdtasdt0(xb,X0)=sz00)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f263])).
% 0.14/0.32 fof(f270,plain,(
% 0.14/0.32 ~pd0_6|(((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xa)))|((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=xa))&~aElementOf0(xa,slsdtgt0(xa))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f262])).
% 0.14/0.32 fof(f271,plain,(
% 0.14/0.32 pd0_7=>((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xa)))),
% 0.14/0.32 introduced(predicate_definition,[f270])).
% 0.14/0.32 fof(f272,plain,(
% 0.14/0.32 ~pd0_6|(pd0_7|((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=xa))&~aElementOf0(xa,slsdtgt0(xa))))),
% 0.14/0.32 inference(formula_renaming,[status(thm)],[f270,f271])).
% 0.14/0.32 fof(f273,plain,(
% 0.14/0.32 ![X0]: (~pd0_6|pd0_7|~aElement0(X0)|~sdtasdt0(xa,X0)=xa)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f272])).
% 0.14/0.32 fof(f275,plain,(
% 0.14/0.32 ~pd0_7|((![W0]: (~aElement0(W0)|~sdtasdt0(xa,W0)=sz00))&~aElementOf0(sz00,slsdtgt0(xa)))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f271])).
% 0.14/0.32 fof(f276,plain,(
% 0.14/0.32 ![X0]: (~pd0_7|~aElement0(X0)|~sdtasdt0(xa,X0)=sz00)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f275])).
% 0.14/0.32 fof(f285,plain,(
% 0.14/0.32 spl0_2 <=> pd0_4),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f288,plain,(
% 0.14/0.32 spl0_3 <=> ~aElement0(X0)|~sdtasdt0(xb,X0)=xb),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f289,plain,(
% 0.14/0.32 ![X0]: (~aElement0(X0)|~sdtasdt0(xb,X0)=xb|~spl0_3)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f288])).
% 0.14/0.32 fof(f291,plain,(
% 0.14/0.32 spl0_2|spl0_3),
% 0.14/0.32 inference(split_clause,[status(thm)],[f240,f285,f288])).
% 0.14/0.32 fof(f296,plain,(
% 0.14/0.32 spl0_5 <=> pd0_6),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f299,plain,(
% 0.14/0.32 spl0_6 <=> ~aElement0(X0)|~sdtasdt0(xb,X0)=sz00),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f300,plain,(
% 0.14/0.32 ![X0]: (~aElement0(X0)|~sdtasdt0(xb,X0)=sz00|~spl0_6)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f299])).
% 0.14/0.32 fof(f302,plain,(
% 0.14/0.32 ~spl0_2|spl0_5|spl0_6),
% 0.14/0.32 inference(split_clause,[status(thm)],[f264,f285,f296,f299])).
% 0.14/0.32 fof(f307,plain,(
% 0.14/0.32 spl0_8 <=> pd0_7),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f310,plain,(
% 0.14/0.32 spl0_9 <=> ~aElement0(X0)|~sdtasdt0(xa,X0)=xa),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f311,plain,(
% 0.14/0.32 ![X0]: (~aElement0(X0)|~sdtasdt0(xa,X0)=xa|~spl0_9)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f310])).
% 0.14/0.32 fof(f313,plain,(
% 0.14/0.32 ~spl0_5|spl0_8|spl0_9),
% 0.14/0.32 inference(split_clause,[status(thm)],[f273,f296,f307,f310])).
% 0.14/0.32 fof(f318,plain,(
% 0.14/0.32 spl0_11 <=> ~aElement0(X0)|~sdtasdt0(xa,X0)=sz00),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f319,plain,(
% 0.14/0.32 ![X0]: (~aElement0(X0)|~sdtasdt0(xa,X0)=sz00|~spl0_11)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f318])).
% 0.14/0.32 fof(f321,plain,(
% 0.14/0.32 ~spl0_8|spl0_11),
% 0.14/0.32 inference(split_clause,[status(thm)],[f276,f307,f318])).
% 0.14/0.32 fof(f345,plain,(
% 0.14/0.32 spl0_14 <=> aElement0(sz00)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f347,plain,(
% 0.14/0.32 ~aElement0(sz00)|spl0_14),
% 0.14/0.32 inference(component_clause,[status(thm)],[f345])).
% 0.14/0.32 fof(f355,plain,(
% 0.14/0.32 $false|spl0_14),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f347,f48])).
% 0.14/0.32 fof(f356,plain,(
% 0.14/0.32 spl0_14),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f355])).
% 0.14/0.32 fof(f360,plain,(
% 0.14/0.32 spl0_16 <=> aElement0(xc)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f362,plain,(
% 0.14/0.32 ~aElement0(xc)|spl0_16),
% 0.14/0.32 inference(component_clause,[status(thm)],[f360])).
% 0.14/0.32 fof(f363,plain,(
% 0.14/0.32 spl0_17 <=> aElement0(sk0_20)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f365,plain,(
% 0.14/0.32 ~aElement0(sk0_20)|spl0_17),
% 0.14/0.32 inference(component_clause,[status(thm)],[f363])).
% 0.14/0.32 fof(f384,plain,(
% 0.14/0.32 spl0_22 <=> aElement0(xa)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f387,plain,(
% 0.14/0.32 ~aElement0(xc)|~aElement0(sk0_20)|aElement0(xa)),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f206,f55])).
% 0.14/0.32 fof(f388,plain,(
% 0.14/0.32 ~spl0_16|~spl0_17|spl0_22),
% 0.14/0.32 inference(split_clause,[status(thm)],[f387,f360,f363,f384])).
% 0.14/0.32 fof(f389,plain,(
% 0.14/0.32 $false|spl0_17),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f365,f205])).
% 0.14/0.32 fof(f390,plain,(
% 0.14/0.32 spl0_17),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f389])).
% 0.14/0.32 fof(f391,plain,(
% 0.14/0.32 $false|spl0_16),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f362,f204])).
% 0.14/0.32 fof(f392,plain,(
% 0.14/0.32 spl0_16),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f391])).
% 0.14/0.32 fof(f393,plain,(
% 0.14/0.32 spl0_23 <=> aElement0(sk0_21)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f395,plain,(
% 0.14/0.32 ~aElement0(sk0_21)|spl0_23),
% 0.14/0.32 inference(component_clause,[status(thm)],[f393])).
% 0.14/0.32 fof(f411,plain,(
% 0.14/0.32 spl0_27 <=> aElement0(xb)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f414,plain,(
% 0.14/0.32 ~aElement0(xc)|~aElement0(sk0_21)|aElement0(xb)),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f211,f55])).
% 0.14/0.32 fof(f415,plain,(
% 0.14/0.32 ~spl0_16|~spl0_23|spl0_27),
% 0.14/0.32 inference(split_clause,[status(thm)],[f414,f360,f393,f411])).
% 0.14/0.32 fof(f416,plain,(
% 0.14/0.32 $false|spl0_23),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f395,f210])).
% 0.14/0.32 fof(f417,plain,(
% 0.14/0.32 spl0_23),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f416])).
% 0.14/0.32 fof(f418,plain,(
% 0.14/0.32 ~aElement0(sz00)|~aElement0(xa)|~spl0_11),
% 0.14/0.32 inference(resolution,[status(thm)],[f319,f80])).
% 0.14/0.32 fof(f419,plain,(
% 0.14/0.32 ~spl0_14|~spl0_22|~spl0_11),
% 0.14/0.32 inference(split_clause,[status(thm)],[f418,f345,f384,f318])).
% 0.15/0.57 fof(f434,plain,(
% 0.15/0.57 ~aElement0(sz00)|~aElement0(xb)|~spl0_6),
% 0.15/0.57 inference(resolution,[status(thm)],[f300,f80])).
% 0.15/0.57 fof(f435,plain,(
% 0.15/0.57 ~spl0_14|~spl0_27|~spl0_6),
% 0.15/0.57 inference(split_clause,[status(thm)],[f434,f345,f411,f299])).
% 0.15/0.57 fof(f440,plain,(
% 0.15/0.57 spl0_28 <=> aElement0(sz10)),
% 0.15/0.57 introduced(split_symbol_definition)).
% 0.15/0.57 fof(f442,plain,(
% 0.15/0.57 ~aElement0(sz10)|spl0_28),
% 0.15/0.57 inference(component_clause,[status(thm)],[f440])).
% 0.15/0.57 fof(f443,plain,(
% 0.15/0.57 ~aElement0(xa)|~aElement0(sz10)|~spl0_9),
% 0.15/0.57 inference(resolution,[status(thm)],[f71,f311])).
% 0.15/0.57 fof(f444,plain,(
% 0.15/0.57 ~spl0_22|~spl0_28|~spl0_9),
% 0.15/0.57 inference(split_clause,[status(thm)],[f443,f384,f440,f310])).
% 0.15/0.57 fof(f445,plain,(
% 0.15/0.57 ~aElement0(xb)|~aElement0(sz10)|~spl0_3),
% 0.15/0.57 inference(resolution,[status(thm)],[f71,f289])).
% 0.15/0.57 fof(f446,plain,(
% 0.15/0.57 ~spl0_27|~spl0_28|~spl0_3),
% 0.15/0.57 inference(split_clause,[status(thm)],[f445,f411,f440,f288])).
% 0.15/0.57 fof(f452,plain,(
% 0.15/0.57 $false|spl0_28),
% 0.15/0.57 inference(forward_subsumption_resolution,[status(thm)],[f442,f49])).
% 0.15/0.57 fof(f453,plain,(
% 0.15/0.57 spl0_28),
% 0.15/0.57 inference(contradiction_clause,[status(thm)],[f452])).
% 0.15/0.57 fof(f454,plain,(
% 0.15/0.57 $false),
% 0.15/0.57 inference(sat_refutation,[status(thm)],[f291,f302,f313,f321,f356,f388,f390,f392,f415,f417,f419,f435,f444,f446,f453])).
% 0.15/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.57 % Elapsed time: 0.043109 seconds
% 0.15/0.57 % CPU time: 0.019496 seconds
% 0.15/0.57 % Memory used: 4.029 MB
%------------------------------------------------------------------------------