TSTP Solution File: COM017+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:03:55 EDT 2023
% Result : Theorem 2.63s 0.72s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:51:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 2.63/0.72 % Refutation found
% 2.63/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.63/0.72 % SZS output start CNFRefutation for theBenchmark
% 2.63/0.72 fof(f3,axiom,(
% 2.63/0.72 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aReductOfIn0(W2,W0,W1)=> aElement0(W2) ) )) )),
% 2.63/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.72 fof(f15,hypothesis,(
% 2.63/0.72 aRewritingSystem0(xR) ),
% 2.63/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.72 fof(f16,hypothesis,(
% 2.63/0.72 ( (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2)& aReductOfIn0(W1,W0,xR)& aReductOfIn0(W2,W0,xR) )=> (? [W3] :( aElement0(W3)& ( W1 = W3| ( ( aReductOfIn0(W3,W1,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W1,xR)& sdtmndtplgtdt0(W4,xR,W3) ) ))& sdtmndtplgtdt0(W1,xR,W3) ) )& sdtmndtasgtdt0(W1,xR,W3)& ( W2 = W3| ( ( aReductOfIn0(W3,W2,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W2,xR)& sdtmndtplgtdt0(W4,xR,W3) ) ))& sdtmndtplgtdt0(W2,xR,W3) ) )& sdtmndtasgtdt0(W2,xR,W3) ) )))& isLocallyConfluent0(xR)& (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> ( ( aReductOfIn0(W1,W0,xR)| (? [W2] :( aElement0(W2)& aReductOfIn0(W2,W0,xR)& sdtmndtplgtdt0(W2,xR,W1) ))| sdtmndtplgtdt0(W0,xR,W1) )=> iLess0(W1,W0) ) ))& isTerminating0(xR) ) ),
% 2.63/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.72 fof(f17,hypothesis,(
% 2.63/0.72 ( aElement0(xa)& aElement0(xb)& aElement0(xc) ) ),
% 2.63/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.72 fof(f20,hypothesis,(
% 2.63/0.72 ( aElement0(xu)& aReductOfIn0(xu,xa,xR)& ( xu = xb| ( ( aReductOfIn0(xb,xu,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xu,xR)& sdtmndtplgtdt0(W0,xR,xb) ) ))& sdtmndtplgtdt0(xu,xR,xb) ) )& sdtmndtasgtdt0(xu,xR,xb) ) ),
% 2.63/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.72 fof(f21,hypothesis,(
% 2.63/0.72 ( aElement0(xv)& aReductOfIn0(xv,xa,xR)& ( xv = xc| ( ( aReductOfIn0(xc,xv,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xv,xR)& sdtmndtplgtdt0(W0,xR,xc) ) ))& sdtmndtplgtdt0(xv,xR,xc) ) )& sdtmndtasgtdt0(xv,xR,xc) ) ),
% 2.63/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.72 fof(f22,conjecture,(
% 2.63/0.72 (? [W0] :( aElement0(W0)& ( xu = W0| aReductOfIn0(W0,xu,xR)| (? [W1] :( aElement0(W1)& aReductOfIn0(W1,xu,xR)& sdtmndtplgtdt0(W1,xR,W0) ))| sdtmndtplgtdt0(xu,xR,W0)| sdtmndtasgtdt0(xu,xR,W0) )& ( xv = W0| aReductOfIn0(W0,xv,xR)| (? [W1] :( aElement0(W1)& aReductOfIn0(W1,xv,xR)& sdtmndtplgtdt0(W1,xR,W0) ))| sdtmndtplgtdt0(xv,xR,W0)| sdtmndtasgtdt0(xv,xR,W0) ) ) )),
% 2.63/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.72 fof(f23,negated_conjecture,(
% 2.63/0.72 ~((? [W0] :( aElement0(W0)& ( xu = W0| aReductOfIn0(W0,xu,xR)| (? [W1] :( aElement0(W1)& aReductOfIn0(W1,xu,xR)& sdtmndtplgtdt0(W1,xR,W0) ))| sdtmndtplgtdt0(xu,xR,W0)| sdtmndtasgtdt0(xu,xR,W0) )& ( xv = W0| aReductOfIn0(W0,xv,xR)| (? [W1] :( aElement0(W1)& aReductOfIn0(W1,xv,xR)& sdtmndtplgtdt0(W1,xR,W0) ))| sdtmndtplgtdt0(xv,xR,W0)| sdtmndtasgtdt0(xv,xR,W0) ) ) ))),
% 2.63/0.72 inference(negated_conjecture,[status(cth)],[f22])).
% 2.63/0.72 fof(f30,plain,(
% 2.63/0.72 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (~aReductOfIn0(W2,W0,W1)|aElement0(W2))))),
% 2.63/0.72 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.63/0.72 fof(f31,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aReductOfIn0(X2,X0,X1)|aElement0(X2))),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f30])).
% 2.63/0.72 fof(f98,plain,(
% 2.63/0.72 aRewritingSystem0(xR)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f15])).
% 2.63/0.72 fof(f99,plain,(
% 2.63/0.72 (((![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~aReductOfIn0(W1,W0,xR))|~aReductOfIn0(W2,W0,xR))|(?[W3]: ((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3)))))&isLocallyConfluent0(xR))&(![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|(((~aReductOfIn0(W1,W0,xR)&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))|iLess0(W1,W0)))))&isTerminating0(xR)),
% 2.63/0.72 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 2.63/0.72 fof(f100,plain,(
% 2.63/0.72 (((![W1,W2]: ((![W0]: ((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~aReductOfIn0(W1,W0,xR))|~aReductOfIn0(W2,W0,xR)))|(?[W3]: ((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3)))))&isLocallyConfluent0(xR))&(![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|(((~aReductOfIn0(W1,W0,xR)&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))|iLess0(W1,W0)))))&isTerminating0(xR)),
% 2.63/0.72 inference(miniscoping,[status(esa)],[f99])).
% 2.63/0.72 fof(f101,plain,(
% 2.63/0.72 (((![W1,W2]: ((![W0]: ((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~aReductOfIn0(W1,W0,xR))|~aReductOfIn0(W2,W0,xR)))|((((aElement0(sk0_13(W2,W1))&(W1=sk0_13(W2,W1)|((aReductOfIn0(sk0_13(W2,W1),W1,xR)|((aElement0(sk0_14(W2,W1))&aReductOfIn0(sk0_14(W2,W1),W1,xR))&sdtmndtplgtdt0(sk0_14(W2,W1),xR,sk0_13(W2,W1))))&sdtmndtplgtdt0(W1,xR,sk0_13(W2,W1)))))&sdtmndtasgtdt0(W1,xR,sk0_13(W2,W1)))&(W2=sk0_13(W2,W1)|((aReductOfIn0(sk0_13(W2,W1),W2,xR)|((aElement0(sk0_15(W2,W1))&aReductOfIn0(sk0_15(W2,W1),W2,xR))&sdtmndtplgtdt0(sk0_15(W2,W1),xR,sk0_13(W2,W1))))&sdtmndtplgtdt0(W2,xR,sk0_13(W2,W1)))))&sdtmndtasgtdt0(W2,xR,sk0_13(W2,W1)))))&isLocallyConfluent0(xR))&(![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|(((~aReductOfIn0(W1,W0,xR)&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))|iLess0(W1,W0)))))&isTerminating0(xR)),
% 2.63/0.72 inference(skolemization,[status(esa)],[f100])).
% 2.63/0.72 fof(f102,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~aReductOfIn0(X1,X0,xR)|~aReductOfIn0(X2,X0,xR)|aElement0(sk0_13(X2,X1)))),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f101])).
% 2.63/0.72 fof(f106,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~aReductOfIn0(X1,X0,xR)|~aReductOfIn0(X2,X0,xR)|X1=sk0_13(X2,X1)|sdtmndtplgtdt0(X1,xR,sk0_13(X2,X1)))),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f101])).
% 2.63/0.72 fof(f112,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~aReductOfIn0(X1,X0,xR)|~aReductOfIn0(X2,X0,xR)|sdtmndtasgtdt0(X2,xR,sk0_13(X2,X1)))),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f101])).
% 2.63/0.72 fof(f113,plain,(
% 2.63/0.72 isLocallyConfluent0(xR)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f101])).
% 2.63/0.72 fof(f117,plain,(
% 2.63/0.72 isTerminating0(xR)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f101])).
% 2.63/0.72 fof(f118,plain,(
% 2.63/0.72 aElement0(xa)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f17])).
% 2.63/0.72 fof(f119,plain,(
% 2.63/0.72 aElement0(xb)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f17])).
% 2.63/0.72 fof(f120,plain,(
% 2.63/0.72 aElement0(xc)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f17])).
% 2.63/0.72 fof(f189,plain,(
% 2.63/0.72 ((aElement0(xu)&aReductOfIn0(xu,xa,xR))&(xu=xb|((aReductOfIn0(xb,xu,xR)|((aElement0(sk0_21)&aReductOfIn0(sk0_21,xu,xR))&sdtmndtplgtdt0(sk0_21,xR,xb)))&sdtmndtplgtdt0(xu,xR,xb))))&sdtmndtasgtdt0(xu,xR,xb)),
% 2.63/0.72 inference(skolemization,[status(esa)],[f20])).
% 2.63/0.72 fof(f190,plain,(
% 2.63/0.72 aElement0(xu)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f189])).
% 2.63/0.72 fof(f191,plain,(
% 2.63/0.72 aReductOfIn0(xu,xa,xR)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f189])).
% 2.63/0.72 fof(f197,plain,(
% 2.63/0.72 ((aElement0(xv)&aReductOfIn0(xv,xa,xR))&(xv=xc|((aReductOfIn0(xc,xv,xR)|((aElement0(sk0_22)&aReductOfIn0(sk0_22,xv,xR))&sdtmndtplgtdt0(sk0_22,xR,xc)))&sdtmndtplgtdt0(xv,xR,xc))))&sdtmndtasgtdt0(xv,xR,xc)),
% 2.63/0.72 inference(skolemization,[status(esa)],[f21])).
% 2.63/0.72 fof(f198,plain,(
% 2.63/0.72 aElement0(xv)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f197])).
% 2.63/0.72 fof(f199,plain,(
% 2.63/0.72 aReductOfIn0(xv,xa,xR)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f197])).
% 2.63/0.72 fof(f205,plain,(
% 2.63/0.72 (![W0]: ((~aElement0(W0)|((((~xu=W0&~aReductOfIn0(W0,xu,xR))&(![W1]: ((~aElement0(W1)|~aReductOfIn0(W1,xu,xR))|~sdtmndtplgtdt0(W1,xR,W0))))&~sdtmndtplgtdt0(xu,xR,W0))&~sdtmndtasgtdt0(xu,xR,W0)))|((((~xv=W0&~aReductOfIn0(W0,xv,xR))&(![W1]: ((~aElement0(W1)|~aReductOfIn0(W1,xv,xR))|~sdtmndtplgtdt0(W1,xR,W0))))&~sdtmndtplgtdt0(xv,xR,W0))&~sdtmndtasgtdt0(xv,xR,W0))))),
% 2.63/0.72 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 2.63/0.72 fof(f206,plain,(
% 2.63/0.72 ![W0]: (pd0_1(W0)=>((((~xu=W0&~aReductOfIn0(W0,xu,xR))&(![W1]: ((~aElement0(W1)|~aReductOfIn0(W1,xu,xR))|~sdtmndtplgtdt0(W1,xR,W0))))&~sdtmndtplgtdt0(xu,xR,W0))&~sdtmndtasgtdt0(xu,xR,W0)))),
% 2.63/0.72 introduced(predicate_definition,[f205])).
% 2.63/0.72 fof(f207,plain,(
% 2.63/0.72 ![W0]: ((~aElement0(W0)|pd0_1(W0))|((((~xv=W0&~aReductOfIn0(W0,xv,xR))&(![W1]: ((~aElement0(W1)|~aReductOfIn0(W1,xv,xR))|~sdtmndtplgtdt0(W1,xR,W0))))&~sdtmndtplgtdt0(xv,xR,W0))&~sdtmndtasgtdt0(xv,xR,W0)))),
% 2.63/0.72 inference(formula_renaming,[status(thm)],[f205,f206])).
% 2.63/0.72 fof(f212,plain,(
% 2.63/0.72 ![X0]: (~aElement0(X0)|pd0_1(X0)|~sdtmndtasgtdt0(xv,xR,X0))),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f207])).
% 2.63/0.72 fof(f219,plain,(
% 2.63/0.72 ![W0]: (~pd0_1(W0)|((((~xu=W0&~aReductOfIn0(W0,xu,xR))&(![W1]: ((~aElement0(W1)|~aReductOfIn0(W1,xu,xR))|~sdtmndtplgtdt0(W1,xR,W0))))&~sdtmndtplgtdt0(xu,xR,W0))&~sdtmndtasgtdt0(xu,xR,W0)))),
% 2.63/0.72 inference(pre_NNF_transformation,[status(esa)],[f206])).
% 2.63/0.72 fof(f220,plain,(
% 2.63/0.72 ![X0]: (~pd0_1(X0)|~xu=X0)),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f219])).
% 2.63/0.72 fof(f223,plain,(
% 2.63/0.72 ![X0]: (~pd0_1(X0)|~sdtmndtplgtdt0(xu,xR,X0))),
% 2.63/0.72 inference(cnf_transformation,[status(esa)],[f219])).
% 2.63/0.72 fof(f347,plain,(
% 2.63/0.72 ![X0,X1]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|aElement0(X1))),
% 2.63/0.72 inference(resolution,[status(thm)],[f98,f31])).
% 2.63/0.72 fof(f372,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aReductOfIn0(X2,X0,xR)|~aReductOfIn0(X1,X0,xR)|sdtmndtasgtdt0(X1,xR,sk0_13(X1,X2)))),
% 2.63/0.72 inference(backward_subsumption_resolution,[status(thm)],[f112,f347])).
% 2.63/0.72 fof(f373,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|~aReductOfIn0(X2,X0,xR)|sdtmndtasgtdt0(X2,xR,sk0_13(X2,X1)))),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f372,f347])).
% 2.63/0.72 fof(f384,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aReductOfIn0(X2,X0,xR)|~aReductOfIn0(X1,X0,xR)|X2=sk0_13(X1,X2)|sdtmndtplgtdt0(X2,xR,sk0_13(X1,X2)))),
% 2.63/0.72 inference(backward_subsumption_resolution,[status(thm)],[f106,f347])).
% 2.63/0.72 fof(f385,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|~aReductOfIn0(X2,X0,xR)|X1=sk0_13(X2,X1)|sdtmndtplgtdt0(X1,xR,sk0_13(X2,X1)))),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f384,f347])).
% 2.63/0.72 fof(f392,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aReductOfIn0(X2,X0,xR)|~aReductOfIn0(X1,X0,xR)|aElement0(sk0_13(X1,X2)))),
% 2.63/0.72 inference(backward_subsumption_resolution,[status(thm)],[f102,f347])).
% 2.63/0.72 fof(f393,plain,(
% 2.63/0.72 ![X0,X1,X2]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|~aReductOfIn0(X2,X0,xR)|aElement0(sk0_13(X2,X1)))),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f392,f347])).
% 2.63/0.72 fof(f420,plain,(
% 2.63/0.72 spl0_29 <=> aElement0(xa)),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f422,plain,(
% 2.63/0.72 ~aElement0(xa)|spl0_29),
% 2.63/0.72 inference(component_clause,[status(thm)],[f420])).
% 2.63/0.72 fof(f451,plain,(
% 2.63/0.72 $false|spl0_29),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f422,f118])).
% 2.63/0.72 fof(f452,plain,(
% 2.63/0.72 spl0_29),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f451])).
% 2.63/0.72 fof(f453,plain,(
% 2.63/0.72 spl0_34 <=> aElement0(xb)),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f455,plain,(
% 2.63/0.72 ~aElement0(xb)|spl0_34),
% 2.63/0.72 inference(component_clause,[status(thm)],[f453])).
% 2.63/0.72 fof(f466,plain,(
% 2.63/0.72 spl0_37 <=> aRewritingSystem0(xR)),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f468,plain,(
% 2.63/0.72 ~aRewritingSystem0(xR)|spl0_37),
% 2.63/0.72 inference(component_clause,[status(thm)],[f466])).
% 2.63/0.72 fof(f484,plain,(
% 2.63/0.72 $false|spl0_34),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f455,f119])).
% 2.63/0.72 fof(f485,plain,(
% 2.63/0.72 spl0_34),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f484])).
% 2.63/0.72 fof(f488,plain,(
% 2.63/0.72 $false|spl0_37),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f468,f98])).
% 2.63/0.72 fof(f489,plain,(
% 2.63/0.72 spl0_37),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f488])).
% 2.63/0.72 fof(f496,plain,(
% 2.63/0.72 spl0_42 <=> aElement0(xc)),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f498,plain,(
% 2.63/0.72 ~aElement0(xc)|spl0_42),
% 2.63/0.72 inference(component_clause,[status(thm)],[f496])).
% 2.63/0.72 fof(f524,plain,(
% 2.63/0.72 $false|spl0_42),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f498,f120])).
% 2.63/0.72 fof(f525,plain,(
% 2.63/0.72 spl0_42),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f524])).
% 2.63/0.72 fof(f540,plain,(
% 2.63/0.72 spl0_50 <=> aElement0(xu)),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f542,plain,(
% 2.63/0.72 ~aElement0(xu)|spl0_50),
% 2.63/0.72 inference(component_clause,[status(thm)],[f540])).
% 2.63/0.72 fof(f547,plain,(
% 2.63/0.72 spl0_51 <=> aElement0(xv)),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f549,plain,(
% 2.63/0.72 ~aElement0(xv)|spl0_51),
% 2.63/0.72 inference(component_clause,[status(thm)],[f547])).
% 2.63/0.72 fof(f635,plain,(
% 2.63/0.72 $false|spl0_51),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f549,f198])).
% 2.63/0.72 fof(f636,plain,(
% 2.63/0.72 spl0_51),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f635])).
% 2.63/0.72 fof(f702,plain,(
% 2.63/0.72 $false|spl0_50),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f542,f190])).
% 2.63/0.72 fof(f703,plain,(
% 2.63/0.72 spl0_50),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f702])).
% 2.63/0.72 fof(f1197,plain,(
% 2.63/0.72 spl0_170 <=> isTerminating0(xR)),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f1199,plain,(
% 2.63/0.72 ~isTerminating0(xR)|spl0_170),
% 2.63/0.72 inference(component_clause,[status(thm)],[f1197])).
% 2.63/0.72 fof(f1205,plain,(
% 2.63/0.72 $false|spl0_170),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1199,f117])).
% 2.63/0.72 fof(f1206,plain,(
% 2.63/0.72 spl0_170),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f1205])).
% 2.63/0.72 fof(f1252,plain,(
% 2.63/0.72 ![X0,X1]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|~aReductOfIn0(xv,X0,xR)|~aElement0(sk0_13(xv,X1))|pd0_1(sk0_13(xv,X1)))),
% 2.63/0.72 inference(resolution,[status(thm)],[f373,f212])).
% 2.63/0.72 fof(f1253,plain,(
% 2.63/0.72 ![X0,X1]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|~aReductOfIn0(xv,X0,xR)|pd0_1(sk0_13(xv,X1)))),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1252,f393])).
% 2.63/0.72 fof(f1255,plain,(
% 2.63/0.72 spl0_180 <=> ~aReductOfIn0(X0,xa,xR)|pd0_1(sk0_13(xv,X0))),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f1256,plain,(
% 2.63/0.72 ![X0]: (~aReductOfIn0(X0,xa,xR)|pd0_1(sk0_13(xv,X0))|~spl0_180)),
% 2.63/0.72 inference(component_clause,[status(thm)],[f1255])).
% 2.63/0.72 fof(f1258,plain,(
% 2.63/0.72 ![X0]: (~aElement0(xa)|~aReductOfIn0(X0,xa,xR)|pd0_1(sk0_13(xv,X0)))),
% 2.63/0.72 inference(resolution,[status(thm)],[f1253,f199])).
% 2.63/0.72 fof(f1259,plain,(
% 2.63/0.72 ~spl0_29|spl0_180),
% 2.63/0.72 inference(split_clause,[status(thm)],[f1258,f420,f1255])).
% 2.63/0.72 fof(f1379,plain,(
% 2.63/0.72 spl0_203 <=> isLocallyConfluent0(xR)),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f1381,plain,(
% 2.63/0.72 ~isLocallyConfluent0(xR)|spl0_203),
% 2.63/0.72 inference(component_clause,[status(thm)],[f1379])).
% 2.63/0.72 fof(f1387,plain,(
% 2.63/0.72 $false|spl0_203),
% 2.63/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1381,f113])).
% 2.63/0.72 fof(f1388,plain,(
% 2.63/0.72 spl0_203),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f1387])).
% 2.63/0.72 fof(f1437,plain,(
% 2.63/0.72 spl0_213 <=> xu=xu),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f1439,plain,(
% 2.63/0.72 ~xu=xu|spl0_213),
% 2.63/0.72 inference(component_clause,[status(thm)],[f1437])).
% 2.63/0.72 fof(f1468,plain,(
% 2.63/0.72 $false|spl0_213),
% 2.63/0.72 inference(equality_resolution,[status(esa)],[f1439])).
% 2.63/0.72 fof(f1469,plain,(
% 2.63/0.72 spl0_213),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f1468])).
% 2.63/0.72 fof(f1485,plain,(
% 2.63/0.72 pd0_1(sk0_13(xv,xu))|~spl0_180),
% 2.63/0.72 inference(resolution,[status(thm)],[f1256,f191])).
% 2.63/0.72 fof(f1503,plain,(
% 2.63/0.72 ~sdtmndtplgtdt0(xu,xR,sk0_13(xv,xu))|~spl0_180),
% 2.63/0.72 inference(resolution,[status(thm)],[f1485,f223])).
% 2.63/0.72 fof(f1505,plain,(
% 2.63/0.72 ~xu=sk0_13(xv,xu)|~spl0_180),
% 2.63/0.72 inference(resolution,[status(thm)],[f1485,f220])).
% 2.63/0.72 fof(f1528,plain,(
% 2.63/0.72 spl0_224 <=> sk0_19=sk0_19),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f1530,plain,(
% 2.63/0.72 ~sk0_19=sk0_19|spl0_224),
% 2.63/0.72 inference(component_clause,[status(thm)],[f1528])).
% 2.63/0.72 fof(f1538,plain,(
% 2.63/0.72 spl0_226 <=> sk0_20=sk0_20),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f1540,plain,(
% 2.63/0.72 ~sk0_20=sk0_20|spl0_226),
% 2.63/0.72 inference(component_clause,[status(thm)],[f1538])).
% 2.63/0.72 fof(f1613,plain,(
% 2.63/0.72 spl0_241 <=> sk0_21=sk0_21),
% 2.63/0.72 introduced(split_symbol_definition)).
% 2.63/0.72 fof(f1615,plain,(
% 2.63/0.72 ~sk0_21=sk0_21|spl0_241),
% 2.63/0.72 inference(component_clause,[status(thm)],[f1613])).
% 2.63/0.72 fof(f1623,plain,(
% 2.63/0.72 $false|spl0_224),
% 2.63/0.72 inference(equality_resolution,[status(esa)],[f1530])).
% 2.63/0.72 fof(f1624,plain,(
% 2.63/0.72 spl0_224),
% 2.63/0.72 inference(contradiction_clause,[status(thm)],[f1623])).
% 2.63/0.73 fof(f1630,plain,(
% 2.63/0.73 $false|spl0_226),
% 2.63/0.73 inference(equality_resolution,[status(esa)],[f1540])).
% 2.63/0.73 fof(f1631,plain,(
% 2.63/0.73 spl0_226),
% 2.63/0.73 inference(contradiction_clause,[status(thm)],[f1630])).
% 2.63/0.73 fof(f1637,plain,(
% 2.63/0.73 $false|spl0_241),
% 2.63/0.73 inference(equality_resolution,[status(esa)],[f1615])).
% 2.63/0.73 fof(f1638,plain,(
% 2.63/0.73 spl0_241),
% 2.63/0.73 inference(contradiction_clause,[status(thm)],[f1637])).
% 2.63/0.73 fof(f1755,plain,(
% 2.63/0.73 spl0_265 <=> ~aReductOfIn0(X0,xa,xR)|X0=sk0_13(xv,X0)|sdtmndtplgtdt0(X0,xR,sk0_13(xv,X0))),
% 2.63/0.73 introduced(split_symbol_definition)).
% 2.63/0.73 fof(f1756,plain,(
% 2.63/0.73 ![X0]: (~aReductOfIn0(X0,xa,xR)|X0=sk0_13(xv,X0)|sdtmndtplgtdt0(X0,xR,sk0_13(xv,X0))|~spl0_265)),
% 2.63/0.73 inference(component_clause,[status(thm)],[f1755])).
% 2.63/0.73 fof(f1758,plain,(
% 2.63/0.73 ![X0]: (~aElement0(xa)|~aReductOfIn0(X0,xa,xR)|X0=sk0_13(xv,X0)|sdtmndtplgtdt0(X0,xR,sk0_13(xv,X0)))),
% 2.63/0.73 inference(resolution,[status(thm)],[f385,f199])).
% 2.63/0.73 fof(f1759,plain,(
% 2.63/0.73 ~spl0_29|spl0_265),
% 2.63/0.73 inference(split_clause,[status(thm)],[f1758,f420,f1755])).
% 2.63/0.73 fof(f3347,plain,(
% 2.63/0.73 spl0_567 <=> xu=sk0_13(xv,xu)),
% 2.63/0.73 introduced(split_symbol_definition)).
% 2.63/0.73 fof(f3348,plain,(
% 2.63/0.73 xu=sk0_13(xv,xu)|~spl0_567),
% 2.63/0.73 inference(component_clause,[status(thm)],[f3347])).
% 2.63/0.73 fof(f3380,plain,(
% 2.63/0.73 spl0_572 <=> sdtmndtplgtdt0(xu,xR,sk0_13(xv,xu))),
% 2.63/0.73 introduced(split_symbol_definition)).
% 2.63/0.73 fof(f3381,plain,(
% 2.63/0.73 sdtmndtplgtdt0(xu,xR,sk0_13(xv,xu))|~spl0_572),
% 2.63/0.73 inference(component_clause,[status(thm)],[f3380])).
% 2.63/0.73 fof(f3383,plain,(
% 2.63/0.73 xu=sk0_13(xv,xu)|sdtmndtplgtdt0(xu,xR,sk0_13(xv,xu))|~spl0_265),
% 2.63/0.73 inference(resolution,[status(thm)],[f1756,f191])).
% 2.63/0.73 fof(f3384,plain,(
% 2.63/0.73 spl0_567|spl0_572|~spl0_265),
% 2.63/0.73 inference(split_clause,[status(thm)],[f3383,f3347,f3380,f1755])).
% 2.63/0.73 fof(f3385,plain,(
% 2.63/0.73 $false|~spl0_180|~spl0_572),
% 2.63/0.73 inference(forward_subsumption_resolution,[status(thm)],[f3381,f1503])).
% 2.63/0.73 fof(f3386,plain,(
% 2.63/0.73 ~spl0_180|~spl0_572),
% 2.63/0.73 inference(contradiction_clause,[status(thm)],[f3385])).
% 2.63/0.73 fof(f3387,plain,(
% 2.63/0.73 $false|~spl0_180|~spl0_567),
% 2.63/0.73 inference(forward_subsumption_resolution,[status(thm)],[f3348,f1505])).
% 2.63/0.73 fof(f3388,plain,(
% 2.63/0.73 ~spl0_180|~spl0_567),
% 2.63/0.73 inference(contradiction_clause,[status(thm)],[f3387])).
% 2.63/0.73 fof(f3389,plain,(
% 2.63/0.73 $false),
% 2.63/0.73 inference(sat_refutation,[status(thm)],[f452,f485,f489,f525,f636,f703,f1206,f1259,f1388,f1469,f1624,f1631,f1638,f1759,f3384,f3386,f3388])).
% 2.63/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 2.63/0.74 % Elapsed time: 0.391768 seconds
% 2.63/0.74 % CPU time: 2.969727 seconds
% 2.63/0.74 % Memory used: 70.123 MB
%------------------------------------------------------------------------------