TSTP Solution File: RNG112+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:32:56 EDT 2023
% Result : Theorem 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:32:36 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.38 % Refutation found
% 0.19/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.38 fof(f44,hypothesis,(
% 0.19/0.38 (? [W0] :( (! [W1] :( aElementOf0(W1,slsdtgt0(xa))<=> (? [W2] :( aElement0(W2)& sdtasdt0(xa,W2) = W1 ) )))& (! [W1] :( aElementOf0(W1,slsdtgt0(xb))<=> (? [W2] :( aElement0(W2)& sdtasdt0(xb,W2) = W1 ) )))& (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ))& aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))& W0 != sz00 ) )),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f45,hypothesis,(
% 0.19/0.38 (! [W0] :( ( ( (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ))| aElementOf0(W0,xI) )& W0 != sz00 )=> (? [W1] :( (? [W2,W3] :( aElementOf0(W2,slsdtgt0(xa))& aElementOf0(W3,slsdtgt0(xb))& sdtpldt0(W2,W3) = W1 ))& aElementOf0(W1,xI)& W1 != sz00& (! [W2] :( ( ( (? [W3,W4] :( aElementOf0(W3,slsdtgt0(xa))& aElementOf0(W4,slsdtgt0(xb))& sdtpldt0(W3,W4) = W2 ))| aElementOf0(W2,xI) )& W2 != sz00 )=> ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) ) )) )) )),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f46,conjecture,(
% 0.19/0.38 (? [W0] :( ( (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ))| aElementOf0(W0,xI) )& W0 != sz00& (! [W1] :( ( (? [W2,W3] :( aElementOf0(W2,slsdtgt0(xa))& aElementOf0(W3,slsdtgt0(xb))& sdtpldt0(W2,W3) = W1 ))& aElementOf0(W1,xI)& W1 != sz00 )=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) )) )),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f47,negated_conjecture,(
% 0.19/0.38 ~((? [W0] :( ( (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ))| aElementOf0(W0,xI) )& W0 != sz00& (! [W1] :( ( (? [W2,W3] :( aElementOf0(W2,slsdtgt0(xa))& aElementOf0(W3,slsdtgt0(xb))& sdtpldt0(W2,W3) = W1 ))& aElementOf0(W1,xI)& W1 != sz00 )=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) )) ))),
% 0.19/0.38 inference(negated_conjecture,[status(cth)],[f46])).
% 0.19/0.38 fof(f253,plain,(
% 0.19/0.38 ?[W0]: (((((![W1]: ((~aElementOf0(W1,slsdtgt0(xa))|(?[W2]: (aElement0(W2)&sdtasdt0(xa,W2)=W1)))&(aElementOf0(W1,slsdtgt0(xa))|(![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W1)))))&(![W1]: ((~aElementOf0(W1,slsdtgt0(xb))|(?[W2]: (aElement0(W2)&sdtasdt0(xb,W2)=W1)))&(aElementOf0(W1,slsdtgt0(xb))|(![W2]: (~aElement0(W2)|~sdtasdt0(xb,W2)=W1))))))&(?[W1,W2]: ((aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb)))&sdtpldt0(W1,W2)=W0)))&aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~W0=sz00)),
% 0.19/0.38 inference(NNF_transformation,[status(esa)],[f44])).
% 0.19/0.38 fof(f254,plain,(
% 0.19/0.38 ?[W0]: ((((((![W1]: (~aElementOf0(W1,slsdtgt0(xa))|(?[W2]: (aElement0(W2)&sdtasdt0(xa,W2)=W1))))&(![W1]: (aElementOf0(W1,slsdtgt0(xa))|(![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W1)))))&((![W1]: (~aElementOf0(W1,slsdtgt0(xb))|(?[W2]: (aElement0(W2)&sdtasdt0(xb,W2)=W1))))&(![W1]: (aElementOf0(W1,slsdtgt0(xb))|(![W2]: (~aElement0(W2)|~sdtasdt0(xb,W2)=W1))))))&(?[W1,W2]: ((aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb)))&sdtpldt0(W1,W2)=W0)))&aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~W0=sz00)),
% 0.19/0.38 inference(miniscoping,[status(esa)],[f253])).
% 0.19/0.38 fof(f255,plain,(
% 0.19/0.38 ((((((![W1]: (~aElementOf0(W1,slsdtgt0(xa))|(aElement0(sk0_32(W1))&sdtasdt0(xa,sk0_32(W1))=W1)))&(![W1]: (aElementOf0(W1,slsdtgt0(xa))|(![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W1)))))&((![W1]: (~aElementOf0(W1,slsdtgt0(xb))|(aElement0(sk0_33(W1))&sdtasdt0(xb,sk0_33(W1))=W1)))&(![W1]: (aElementOf0(W1,slsdtgt0(xb))|(![W2]: (~aElement0(W2)|~sdtasdt0(xb,W2)=W1))))))&((aElementOf0(sk0_34,slsdtgt0(xa))&aElementOf0(sk0_35,slsdtgt0(xb)))&sdtpldt0(sk0_34,sk0_35)=sk0_31))&aElementOf0(sk0_31,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~sk0_31=sz00)),
% 0.19/0.38 inference(skolemization,[status(esa)],[f254])).
% 0.19/0.38 fof(f262,plain,(
% 0.19/0.38 aElementOf0(sk0_34,slsdtgt0(xa))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f255])).
% 0.19/0.38 fof(f263,plain,(
% 0.19/0.38 aElementOf0(sk0_35,slsdtgt0(xb))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f255])).
% 0.19/0.38 fof(f264,plain,(
% 0.19/0.38 sdtpldt0(sk0_34,sk0_35)=sk0_31),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f255])).
% 0.19/0.38 fof(f266,plain,(
% 0.19/0.38 ~sk0_31=sz00),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f255])).
% 0.19/0.38 fof(f267,plain,(
% 0.19/0.38 ![W0]: ((((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00)|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&(![W2]: ((((![W3,W4]: ((~aElementOf0(W3,slsdtgt0(xa))|~aElementOf0(W4,slsdtgt0(xb)))|~sdtpldt0(W3,W4)=W2))&~aElementOf0(W2,xI))|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1)))))))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.19/0.38 fof(f268,plain,(
% 0.19/0.38 ![W0]: (pd0_4(W0)=>(((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00))),
% 0.19/0.38 introduced(predicate_definition,[f267])).
% 0.19/0.38 fof(f269,plain,(
% 0.19/0.38 ![W0]: (pd0_4(W0)|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&(![W2]: ((((![W3,W4]: ((~aElementOf0(W3,slsdtgt0(xa))|~aElementOf0(W4,slsdtgt0(xb)))|~sdtpldt0(W3,W4)=W2))&~aElementOf0(W2,xI))|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1)))))))),
% 0.19/0.38 inference(formula_renaming,[status(thm)],[f267,f268])).
% 0.19/0.38 fof(f270,plain,(
% 0.19/0.38 (![W0]: pd0_4(W0))|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&(![W2]: ((((![W3,W4]: ((~aElementOf0(W3,slsdtgt0(xa))|~aElementOf0(W4,slsdtgt0(xb)))|~sdtpldt0(W3,W4)=W2))&~aElementOf0(W2,xI))|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1))))))),
% 0.19/0.38 inference(miniscoping,[status(esa)],[f269])).
% 0.19/0.38 fof(f271,plain,(
% 0.19/0.38 (![W0]: pd0_4(W0))|(((((aElementOf0(sk0_37,slsdtgt0(xa))&aElementOf0(sk0_38,slsdtgt0(xb)))&sdtpldt0(sk0_37,sk0_38)=sk0_36)&aElementOf0(sk0_36,xI))&~sk0_36=sz00)&(![W2]: ((((![W3,W4]: ((~aElementOf0(W3,slsdtgt0(xa))|~aElementOf0(W4,slsdtgt0(xb)))|~sdtpldt0(W3,W4)=W2))&~aElementOf0(W2,xI))|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(sk0_36)))))),
% 0.19/0.38 inference(skolemization,[status(esa)],[f270])).
% 0.19/0.38 fof(f272,plain,(
% 0.19/0.38 ![X0]: (pd0_4(X0)|aElementOf0(sk0_37,slsdtgt0(xa)))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f271])).
% 0.19/0.38 fof(f273,plain,(
% 0.19/0.38 ![X0]: (pd0_4(X0)|aElementOf0(sk0_38,slsdtgt0(xb)))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f271])).
% 0.19/0.38 fof(f274,plain,(
% 0.19/0.38 ![X0]: (pd0_4(X0)|sdtpldt0(sk0_37,sk0_38)=sk0_36)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f271])).
% 0.19/0.38 fof(f276,plain,(
% 0.19/0.38 ![X0]: (pd0_4(X0)|~sk0_36=sz00)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f271])).
% 0.19/0.38 fof(f278,plain,(
% 0.19/0.38 ![X0,X1]: (pd0_4(X0)|~aElementOf0(X1,xI)|X1=sz00|~iLess0(sbrdtbr0(X1),sbrdtbr0(sk0_36)))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f271])).
% 0.19/0.38 fof(f279,plain,(
% 0.19/0.38 (![W0]: ((((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00)|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&iLess0(sbrdtbr0(W1),sbrdtbr0(W0))))))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.19/0.38 fof(f280,plain,(
% 0.19/0.38 ![W0]: (pd0_5(W0)=>(((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00))),
% 0.19/0.38 introduced(predicate_definition,[f279])).
% 0.19/0.38 fof(f281,plain,(
% 0.19/0.38 ![W0]: (pd0_5(W0)|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&iLess0(sbrdtbr0(W1),sbrdtbr0(W0)))))),
% 0.19/0.38 inference(formula_renaming,[status(thm)],[f279,f280])).
% 0.19/0.38 fof(f282,plain,(
% 0.19/0.38 ![W0]: (pd0_5(W0)|(((((aElementOf0(sk0_40(W0),slsdtgt0(xa))&aElementOf0(sk0_41(W0),slsdtgt0(xb)))&sdtpldt0(sk0_40(W0),sk0_41(W0))=sk0_39(W0))&aElementOf0(sk0_39(W0),xI))&~sk0_39(W0)=sz00)&iLess0(sbrdtbr0(sk0_39(W0)),sbrdtbr0(W0))))),
% 0.19/0.38 inference(skolemization,[status(esa)],[f281])).
% 0.19/0.38 fof(f286,plain,(
% 0.19/0.38 ![X0]: (pd0_5(X0)|aElementOf0(sk0_39(X0),xI))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f282])).
% 0.19/0.38 fof(f287,plain,(
% 0.19/0.38 ![X0]: (pd0_5(X0)|~sk0_39(X0)=sz00)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f282])).
% 0.19/0.38 fof(f288,plain,(
% 0.19/0.38 ![X0]: (pd0_5(X0)|iLess0(sbrdtbr0(sk0_39(X0)),sbrdtbr0(X0)))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f282])).
% 0.19/0.38 fof(f308,plain,(
% 0.19/0.38 ![W0]: (~pd0_4(W0)|(((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f268])).
% 0.19/0.38 fof(f310,plain,(
% 0.19/0.38 ![X0]: (~pd0_4(X0)|~aElementOf0(X0,xI)|X0=sz00)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f308])).
% 0.19/0.38 fof(f311,plain,(
% 0.19/0.38 ![W0]: (~pd0_5(W0)|(((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f280])).
% 0.19/0.38 fof(f312,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~pd0_5(X0)|~aElementOf0(X1,slsdtgt0(xa))|~aElementOf0(X2,slsdtgt0(xb))|~sdtpldt0(X1,X2)=X0|X0=sz00)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f311])).
% 0.19/0.38 fof(f325,plain,(
% 0.19/0.38 spl0_2 <=> pd0_4(X0)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f326,plain,(
% 0.19/0.38 ![X0]: (pd0_4(X0)|~spl0_2)),
% 0.19/0.38 inference(component_clause,[status(thm)],[f325])).
% 0.19/0.38 fof(f328,plain,(
% 0.19/0.38 spl0_3 <=> aElementOf0(sk0_37,slsdtgt0(xa))),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f331,plain,(
% 0.19/0.38 spl0_2|spl0_3),
% 0.19/0.38 inference(split_clause,[status(thm)],[f272,f325,f328])).
% 0.19/0.38 fof(f332,plain,(
% 0.19/0.38 spl0_4 <=> aElementOf0(sk0_38,slsdtgt0(xb))),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f335,plain,(
% 0.19/0.38 spl0_2|spl0_4),
% 0.19/0.38 inference(split_clause,[status(thm)],[f273,f325,f332])).
% 0.19/0.38 fof(f336,plain,(
% 0.19/0.38 spl0_5 <=> sdtpldt0(sk0_37,sk0_38)=sk0_36),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f337,plain,(
% 0.19/0.38 sdtpldt0(sk0_37,sk0_38)=sk0_36|~spl0_5),
% 0.19/0.38 inference(component_clause,[status(thm)],[f336])).
% 0.19/0.38 fof(f339,plain,(
% 0.19/0.38 spl0_2|spl0_5),
% 0.19/0.38 inference(split_clause,[status(thm)],[f274,f325,f336])).
% 0.19/0.38 fof(f344,plain,(
% 0.19/0.38 spl0_7 <=> sk0_36=sz00),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f346,plain,(
% 0.19/0.38 ~sk0_36=sz00|spl0_7),
% 0.19/0.38 inference(component_clause,[status(thm)],[f344])).
% 0.19/0.38 fof(f347,plain,(
% 0.19/0.38 spl0_2|~spl0_7),
% 0.19/0.38 inference(split_clause,[status(thm)],[f276,f325,f344])).
% 0.19/0.38 fof(f352,plain,(
% 0.19/0.38 spl0_9 <=> ~aElementOf0(X1,xI)|X1=sz00|~iLess0(sbrdtbr0(X1),sbrdtbr0(sk0_36))),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f353,plain,(
% 0.19/0.38 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~iLess0(sbrdtbr0(X0),sbrdtbr0(sk0_36))|~spl0_9)),
% 0.19/0.38 inference(component_clause,[status(thm)],[f352])).
% 0.19/0.38 fof(f355,plain,(
% 0.19/0.38 spl0_2|spl0_9),
% 0.19/0.38 inference(split_clause,[status(thm)],[f278,f325,f352])).
% 0.19/0.38 fof(f375,plain,(
% 0.19/0.38 ![X0,X1]: (~pd0_5(sdtpldt0(X0,X1))|~aElementOf0(X0,slsdtgt0(xa))|~aElementOf0(X1,slsdtgt0(xb))|sdtpldt0(X0,X1)=sz00)),
% 0.19/0.38 inference(destructive_equality_resolution,[status(esa)],[f312])).
% 0.19/0.38 fof(f750,plain,(
% 0.19/0.38 spl0_78 <=> aElementOf0(sk0_34,slsdtgt0(xa))),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f752,plain,(
% 0.19/0.38 ~aElementOf0(sk0_34,slsdtgt0(xa))|spl0_78),
% 0.19/0.38 inference(component_clause,[status(thm)],[f750])).
% 0.19/0.38 fof(f753,plain,(
% 0.19/0.38 spl0_79 <=> aElementOf0(sk0_35,slsdtgt0(xb))),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f755,plain,(
% 0.19/0.38 ~aElementOf0(sk0_35,slsdtgt0(xb))|spl0_79),
% 0.19/0.38 inference(component_clause,[status(thm)],[f753])).
% 0.19/0.38 fof(f764,plain,(
% 0.19/0.38 spl0_82 <=> pd0_5(sk0_31)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f766,plain,(
% 0.19/0.38 ~pd0_5(sk0_31)|spl0_82),
% 0.19/0.38 inference(component_clause,[status(thm)],[f764])).
% 0.19/0.38 fof(f767,plain,(
% 0.19/0.38 spl0_83 <=> sdtpldt0(sk0_34,sk0_35)=sz00),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f768,plain,(
% 0.19/0.38 sdtpldt0(sk0_34,sk0_35)=sz00|~spl0_83),
% 0.19/0.38 inference(component_clause,[status(thm)],[f767])).
% 0.19/0.38 fof(f774,plain,(
% 0.19/0.38 ~pd0_5(sk0_31)|~aElementOf0(sk0_34,slsdtgt0(xa))|~aElementOf0(sk0_35,slsdtgt0(xb))|sdtpldt0(sk0_34,sk0_35)=sz00),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f264,f375])).
% 0.19/0.38 fof(f775,plain,(
% 0.19/0.38 ~spl0_82|~spl0_78|~spl0_79|spl0_83),
% 0.19/0.38 inference(split_clause,[status(thm)],[f774,f764,f750,f753,f767])).
% 0.19/0.38 fof(f792,plain,(
% 0.19/0.38 $false|spl0_79),
% 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f755,f263])).
% 0.19/0.38 fof(f793,plain,(
% 0.19/0.38 spl0_79),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f792])).
% 0.19/0.38 fof(f794,plain,(
% 0.19/0.38 $false|spl0_78),
% 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f752,f262])).
% 0.19/0.40 fof(f795,plain,(
% 0.19/0.40 spl0_78),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f794])).
% 0.19/0.40 fof(f975,plain,(
% 0.19/0.40 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~spl0_2)),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f310,f326])).
% 0.19/0.40 fof(f979,plain,(
% 0.19/0.40 ![X0]: (sk0_39(X0)=sz00|pd0_5(X0)|~spl0_2)),
% 0.19/0.40 inference(resolution,[status(thm)],[f975,f286])).
% 0.19/0.40 fof(f980,plain,(
% 0.19/0.40 ![X0]: (pd0_5(X0)|~spl0_2)),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f979,f287])).
% 0.19/0.40 fof(f1031,plain,(
% 0.19/0.40 $false|~spl0_2|spl0_82),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f766,f980])).
% 0.19/0.40 fof(f1032,plain,(
% 0.19/0.40 ~spl0_2|spl0_82),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f1031])).
% 0.19/0.40 fof(f1161,plain,(
% 0.19/0.40 spl0_142 <=> pd0_5(sk0_36)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f1163,plain,(
% 0.19/0.40 ~pd0_5(sk0_36)|spl0_142),
% 0.19/0.40 inference(component_clause,[status(thm)],[f1161])).
% 0.19/0.40 fof(f1164,plain,(
% 0.19/0.40 spl0_143 <=> aElementOf0(sk0_39(sk0_36),xI)),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f1166,plain,(
% 0.19/0.40 ~aElementOf0(sk0_39(sk0_36),xI)|spl0_143),
% 0.19/0.40 inference(component_clause,[status(thm)],[f1164])).
% 0.19/0.40 fof(f1167,plain,(
% 0.19/0.40 spl0_144 <=> sk0_39(sk0_36)=sz00),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f1168,plain,(
% 0.19/0.40 sk0_39(sk0_36)=sz00|~spl0_144),
% 0.19/0.40 inference(component_clause,[status(thm)],[f1167])).
% 0.19/0.40 fof(f1170,plain,(
% 0.19/0.40 pd0_5(sk0_36)|~aElementOf0(sk0_39(sk0_36),xI)|sk0_39(sk0_36)=sz00|~spl0_9),
% 0.19/0.40 inference(resolution,[status(thm)],[f288,f353])).
% 0.19/0.40 fof(f1171,plain,(
% 0.19/0.40 spl0_142|~spl0_143|spl0_144|~spl0_9),
% 0.19/0.40 inference(split_clause,[status(thm)],[f1170,f1161,f1164,f1167,f352])).
% 0.19/0.40 fof(f1175,plain,(
% 0.19/0.40 spl0_145 <=> sdtpldt0(sk0_37,sk0_38)=sz00),
% 0.19/0.40 introduced(split_symbol_definition)).
% 0.19/0.40 fof(f1176,plain,(
% 0.19/0.40 sdtpldt0(sk0_37,sk0_38)=sz00|~spl0_145),
% 0.19/0.40 inference(component_clause,[status(thm)],[f1175])).
% 0.19/0.40 fof(f1178,plain,(
% 0.19/0.40 ~pd0_5(sk0_36)|~aElementOf0(sk0_37,slsdtgt0(xa))|~aElementOf0(sk0_38,slsdtgt0(xb))|sdtpldt0(sk0_37,sk0_38)=sz00|~spl0_5),
% 0.19/0.40 inference(paramodulation,[status(thm)],[f337,f375])).
% 0.19/0.40 fof(f1179,plain,(
% 0.19/0.40 ~spl0_142|~spl0_3|~spl0_4|spl0_145|~spl0_5),
% 0.19/0.40 inference(split_clause,[status(thm)],[f1178,f1161,f328,f332,f1175,f336])).
% 0.19/0.40 fof(f1182,plain,(
% 0.19/0.40 sk0_36=sz00|~spl0_5|~spl0_145),
% 0.19/0.40 inference(forward_demodulation,[status(thm)],[f337,f1176])).
% 0.19/0.40 fof(f1183,plain,(
% 0.19/0.40 $false|spl0_7|~spl0_5|~spl0_145),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1182,f346])).
% 0.19/0.40 fof(f1184,plain,(
% 0.19/0.40 spl0_7|~spl0_5|~spl0_145),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f1183])).
% 0.19/0.40 fof(f1632,plain,(
% 0.19/0.40 pd0_5(sk0_36)|spl0_143),
% 0.19/0.40 inference(resolution,[status(thm)],[f1166,f286])).
% 0.19/0.40 fof(f1633,plain,(
% 0.19/0.40 $false|spl0_142|spl0_143),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1632,f1163])).
% 0.19/0.40 fof(f1634,plain,(
% 0.19/0.40 spl0_142|spl0_143),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f1633])).
% 0.19/0.40 fof(f1669,plain,(
% 0.19/0.40 pd0_5(sk0_36)|~spl0_144),
% 0.19/0.40 inference(resolution,[status(thm)],[f1168,f287])).
% 0.19/0.40 fof(f1670,plain,(
% 0.19/0.40 $false|spl0_142|~spl0_144),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1669,f1163])).
% 0.19/0.40 fof(f1671,plain,(
% 0.19/0.40 spl0_142|~spl0_144),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f1670])).
% 0.19/0.40 fof(f1672,plain,(
% 0.19/0.40 sk0_31=sz00|~spl0_83),
% 0.19/0.40 inference(forward_demodulation,[status(thm)],[f264,f768])).
% 0.19/0.40 fof(f1673,plain,(
% 0.19/0.40 $false|~spl0_83),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1672,f266])).
% 0.19/0.40 fof(f1674,plain,(
% 0.19/0.40 ~spl0_83),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f1673])).
% 0.19/0.40 fof(f1675,plain,(
% 0.19/0.40 $false),
% 0.19/0.40 inference(sat_refutation,[status(thm)],[f331,f335,f339,f347,f355,f775,f793,f795,f1032,f1171,f1179,f1184,f1634,f1671,f1674])).
% 0.19/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.40 % Elapsed time: 0.048216 seconds
% 0.19/0.40 % CPU time: 0.188924 seconds
% 0.19/0.40 % Memory used: 25.107 MB
%------------------------------------------------------------------------------