TSTP Solution File: COM023+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:03:57 EDT 2023
% Result : Theorem 0.06s 0.28s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.06 % Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n031.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 12:12:52 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.28 % Refutation found
% 0.06/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.28 % SZS output start CNFRefutation for theBenchmark
% 0.06/0.28 fof(f10,definition,(
% 0.06/0.28 (! [W0] :( aRewritingSystem0(W0)=> ( isConfluent0(W0)<=> (! [W1,W2,W3] :( ( aElement0(W1)& aElement0(W2)& aElement0(W3)& sdtmndtasgtdt0(W1,W0,W2)& sdtmndtasgtdt0(W1,W0,W3) )=> (? [W4] :( aElement0(W4)& sdtmndtasgtdt0(W2,W0,W4)& sdtmndtasgtdt0(W3,W0,W4) ) )) )) ) )),
% 0.06/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.28 fof(f15,hypothesis,(
% 0.06/0.28 aRewritingSystem0(xR) ),
% 0.06/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.28 fof(f16,hypothesis,(
% 0.06/0.28 ( isLocallyConfluent0(xR)& isTerminating0(xR) ) ),
% 0.06/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.28 fof(f17,hypothesis,(
% 0.06/0.28 (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2)& sdtmndtasgtdt0(W0,xR,W1)& sdtmndtasgtdt0(W0,xR,W2) )=> (? [W3] :( aElement0(W3)& sdtmndtasgtdt0(W1,xR,W3)& sdtmndtasgtdt0(W2,xR,W3) ) )) )),
% 0.06/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.28 fof(f18,conjecture,(
% 0.06/0.28 isConfluent0(xR) ),
% 0.06/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.28 fof(f19,negated_conjecture,(
% 0.06/0.28 ~(isConfluent0(xR) )),
% 0.06/0.28 inference(negated_conjecture,[status(cth)],[f18])).
% 0.06/0.28 fof(f49,plain,(
% 0.06/0.28 ![W0]: (~aRewritingSystem0(W0)|(isConfluent0(W0)<=>(![W1,W2,W3]: (((((~aElement0(W1)|~aElement0(W2))|~aElement0(W3))|~sdtmndtasgtdt0(W1,W0,W2))|~sdtmndtasgtdt0(W1,W0,W3))|(?[W4]: ((aElement0(W4)&sdtmndtasgtdt0(W2,W0,W4))&sdtmndtasgtdt0(W3,W0,W4)))))))),
% 0.06/0.28 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.06/0.28 fof(f50,plain,(
% 0.06/0.28 ![W0]: (~aRewritingSystem0(W0)|((~isConfluent0(W0)|(![W1,W2,W3]: (((((~aElement0(W1)|~aElement0(W2))|~aElement0(W3))|~sdtmndtasgtdt0(W1,W0,W2))|~sdtmndtasgtdt0(W1,W0,W3))|(?[W4]: ((aElement0(W4)&sdtmndtasgtdt0(W2,W0,W4))&sdtmndtasgtdt0(W3,W0,W4))))))&(isConfluent0(W0)|(?[W1,W2,W3]: (((((aElement0(W1)&aElement0(W2))&aElement0(W3))&sdtmndtasgtdt0(W1,W0,W2))&sdtmndtasgtdt0(W1,W0,W3))&(![W4]: ((~aElement0(W4)|~sdtmndtasgtdt0(W2,W0,W4))|~sdtmndtasgtdt0(W3,W0,W4))))))))),
% 0.06/0.28 inference(NNF_transformation,[status(esa)],[f49])).
% 0.06/0.28 fof(f51,plain,(
% 0.06/0.28 ![W0]: (~aRewritingSystem0(W0)|((~isConfluent0(W0)|(![W2,W3]: ((![W1]: ((((~aElement0(W1)|~aElement0(W2))|~aElement0(W3))|~sdtmndtasgtdt0(W1,W0,W2))|~sdtmndtasgtdt0(W1,W0,W3)))|(?[W4]: ((aElement0(W4)&sdtmndtasgtdt0(W2,W0,W4))&sdtmndtasgtdt0(W3,W0,W4))))))&(isConfluent0(W0)|(?[W2,W3]: ((?[W1]: ((((aElement0(W1)&aElement0(W2))&aElement0(W3))&sdtmndtasgtdt0(W1,W0,W2))&sdtmndtasgtdt0(W1,W0,W3)))&(![W4]: ((~aElement0(W4)|~sdtmndtasgtdt0(W2,W0,W4))|~sdtmndtasgtdt0(W3,W0,W4))))))))),
% 0.06/0.28 inference(miniscoping,[status(esa)],[f50])).
% 0.06/0.28 fof(f52,plain,(
% 0.06/0.28 ![W0]: (~aRewritingSystem0(W0)|((~isConfluent0(W0)|(![W2,W3]: ((![W1]: ((((~aElement0(W1)|~aElement0(W2))|~aElement0(W3))|~sdtmndtasgtdt0(W1,W0,W2))|~sdtmndtasgtdt0(W1,W0,W3)))|((aElement0(sk0_1(W3,W2,W0))&sdtmndtasgtdt0(W2,W0,sk0_1(W3,W2,W0)))&sdtmndtasgtdt0(W3,W0,sk0_1(W3,W2,W0))))))&(isConfluent0(W0)|(((((aElement0(sk0_4(W0))&aElement0(sk0_2(W0)))&aElement0(sk0_3(W0)))&sdtmndtasgtdt0(sk0_4(W0),W0,sk0_2(W0)))&sdtmndtasgtdt0(sk0_4(W0),W0,sk0_3(W0)))&(![W4]: ((~aElement0(W4)|~sdtmndtasgtdt0(sk0_2(W0),W0,W4))|~sdtmndtasgtdt0(sk0_3(W0),W0,W4)))))))),
% 0.06/0.28 inference(skolemization,[status(esa)],[f51])).
% 0.06/0.28 fof(f56,plain,(
% 0.06/0.28 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|aElement0(sk0_4(X0)))),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f52])).
% 0.06/0.28 fof(f57,plain,(
% 0.06/0.28 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|aElement0(sk0_2(X0)))),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f52])).
% 0.06/0.28 fof(f58,plain,(
% 0.06/0.28 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|aElement0(sk0_3(X0)))),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f52])).
% 0.06/0.28 fof(f59,plain,(
% 0.06/0.28 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|sdtmndtasgtdt0(sk0_4(X0),X0,sk0_2(X0)))),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f52])).
% 0.06/0.28 fof(f60,plain,(
% 0.06/0.28 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|sdtmndtasgtdt0(sk0_4(X0),X0,sk0_3(X0)))),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f52])).
% 0.06/0.28 fof(f61,plain,(
% 0.06/0.28 ![X0,X1]: (~aRewritingSystem0(X0)|isConfluent0(X0)|~aElement0(X1)|~sdtmndtasgtdt0(sk0_2(X0),X0,X1)|~sdtmndtasgtdt0(sk0_3(X0),X0,X1))),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f52])).
% 0.06/0.28 fof(f94,plain,(
% 0.06/0.28 aRewritingSystem0(xR)),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f15])).
% 0.06/0.28 fof(f95,plain,(
% 0.06/0.28 isLocallyConfluent0(xR)),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f16])).
% 0.06/0.28 fof(f96,plain,(
% 0.06/0.28 isTerminating0(xR)),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f16])).
% 0.06/0.28 fof(f97,plain,(
% 0.06/0.28 ![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~sdtmndtasgtdt0(W0,xR,W1))|~sdtmndtasgtdt0(W0,xR,W2))|(?[W3]: ((aElement0(W3)&sdtmndtasgtdt0(W1,xR,W3))&sdtmndtasgtdt0(W2,xR,W3))))),
% 0.06/0.28 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.06/0.28 fof(f98,plain,(
% 0.06/0.28 ![W1,W2]: ((![W0]: ((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~sdtmndtasgtdt0(W0,xR,W1))|~sdtmndtasgtdt0(W0,xR,W2)))|(?[W3]: ((aElement0(W3)&sdtmndtasgtdt0(W1,xR,W3))&sdtmndtasgtdt0(W2,xR,W3))))),
% 0.06/0.28 inference(miniscoping,[status(esa)],[f97])).
% 0.06/0.28 fof(f99,plain,(
% 0.06/0.28 ![W1,W2]: ((![W0]: ((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~sdtmndtasgtdt0(W0,xR,W1))|~sdtmndtasgtdt0(W0,xR,W2)))|((aElement0(sk0_13(W2,W1))&sdtmndtasgtdt0(W1,xR,sk0_13(W2,W1)))&sdtmndtasgtdt0(W2,xR,sk0_13(W2,W1))))),
% 0.06/0.28 inference(skolemization,[status(esa)],[f98])).
% 0.06/0.28 fof(f100,plain,(
% 0.06/0.28 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|aElement0(sk0_13(X2,X1)))),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f99])).
% 0.06/0.28 fof(f101,plain,(
% 0.06/0.28 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|sdtmndtasgtdt0(X1,xR,sk0_13(X2,X1)))),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f99])).
% 0.06/0.28 fof(f102,plain,(
% 0.06/0.28 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|sdtmndtasgtdt0(X2,xR,sk0_13(X2,X1)))),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f99])).
% 0.06/0.28 fof(f103,plain,(
% 0.06/0.28 ~isConfluent0(xR)),
% 0.06/0.28 inference(cnf_transformation,[status(esa)],[f19])).
% 0.06/0.28 fof(f106,plain,(
% 0.06/0.28 spl0_0 <=> aRewritingSystem0(xR)),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f108,plain,(
% 0.06/0.28 ~aRewritingSystem0(xR)|spl0_0),
% 0.06/0.28 inference(component_clause,[status(thm)],[f106])).
% 0.06/0.28 fof(f114,plain,(
% 0.06/0.28 $false|spl0_0),
% 0.06/0.28 inference(forward_subsumption_resolution,[status(thm)],[f108,f94])).
% 0.06/0.28 fof(f115,plain,(
% 0.06/0.28 spl0_0),
% 0.06/0.28 inference(contradiction_clause,[status(thm)],[f114])).
% 0.06/0.28 fof(f121,plain,(
% 0.06/0.28 spl0_2 <=> isConfluent0(xR)),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f122,plain,(
% 0.06/0.28 isConfluent0(xR)|~spl0_2),
% 0.06/0.28 inference(component_clause,[status(thm)],[f121])).
% 0.06/0.28 fof(f124,plain,(
% 0.06/0.28 spl0_3 <=> aElement0(sk0_4(xR))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f127,plain,(
% 0.06/0.28 isConfluent0(xR)|aElement0(sk0_4(xR))),
% 0.06/0.28 inference(resolution,[status(thm)],[f56,f94])).
% 0.06/0.28 fof(f128,plain,(
% 0.06/0.28 spl0_2|spl0_3),
% 0.06/0.28 inference(split_clause,[status(thm)],[f127,f121,f124])).
% 0.06/0.28 fof(f129,plain,(
% 0.06/0.28 $false|~spl0_2),
% 0.06/0.28 inference(forward_subsumption_resolution,[status(thm)],[f122,f103])).
% 0.06/0.28 fof(f130,plain,(
% 0.06/0.28 ~spl0_2),
% 0.06/0.28 inference(contradiction_clause,[status(thm)],[f129])).
% 0.06/0.28 fof(f219,plain,(
% 0.06/0.28 spl0_21 <=> aElement0(sk0_2(xR))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f222,plain,(
% 0.06/0.28 isConfluent0(xR)|aElement0(sk0_2(xR))),
% 0.06/0.28 inference(resolution,[status(thm)],[f57,f94])).
% 0.06/0.28 fof(f223,plain,(
% 0.06/0.28 spl0_2|spl0_21),
% 0.06/0.28 inference(split_clause,[status(thm)],[f222,f121,f219])).
% 0.06/0.28 fof(f224,plain,(
% 0.06/0.28 spl0_22 <=> aElement0(sk0_3(xR))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f227,plain,(
% 0.06/0.28 isConfluent0(xR)|aElement0(sk0_3(xR))),
% 0.06/0.28 inference(resolution,[status(thm)],[f58,f94])).
% 0.06/0.28 fof(f228,plain,(
% 0.06/0.28 spl0_2|spl0_22),
% 0.06/0.28 inference(split_clause,[status(thm)],[f227,f121,f224])).
% 0.06/0.28 fof(f229,plain,(
% 0.06/0.28 spl0_23 <=> isLocallyConfluent0(xR)),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f231,plain,(
% 0.06/0.28 ~isLocallyConfluent0(xR)|spl0_23),
% 0.06/0.28 inference(component_clause,[status(thm)],[f229])).
% 0.06/0.28 fof(f247,plain,(
% 0.06/0.28 spl0_27 <=> isTerminating0(xR)),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f249,plain,(
% 0.06/0.28 ~isTerminating0(xR)|spl0_27),
% 0.06/0.28 inference(component_clause,[status(thm)],[f247])).
% 0.06/0.28 fof(f260,plain,(
% 0.06/0.28 spl0_30 <=> sdtmndtasgtdt0(sk0_4(xR),xR,sk0_2(xR))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f261,plain,(
% 0.06/0.28 sdtmndtasgtdt0(sk0_4(xR),xR,sk0_2(xR))|~spl0_30),
% 0.06/0.28 inference(component_clause,[status(thm)],[f260])).
% 0.06/0.28 fof(f263,plain,(
% 0.06/0.28 isConfluent0(xR)|sdtmndtasgtdt0(sk0_4(xR),xR,sk0_2(xR))),
% 0.06/0.28 inference(resolution,[status(thm)],[f59,f94])).
% 0.06/0.28 fof(f264,plain,(
% 0.06/0.28 spl0_2|spl0_30),
% 0.06/0.28 inference(split_clause,[status(thm)],[f263,f121,f260])).
% 0.06/0.28 fof(f265,plain,(
% 0.06/0.28 spl0_31 <=> sdtmndtasgtdt0(sk0_4(xR),xR,sk0_3(xR))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f266,plain,(
% 0.06/0.28 sdtmndtasgtdt0(sk0_4(xR),xR,sk0_3(xR))|~spl0_31),
% 0.06/0.28 inference(component_clause,[status(thm)],[f265])).
% 0.06/0.28 fof(f268,plain,(
% 0.06/0.28 isConfluent0(xR)|sdtmndtasgtdt0(sk0_4(xR),xR,sk0_3(xR))),
% 0.06/0.28 inference(resolution,[status(thm)],[f60,f94])).
% 0.06/0.28 fof(f269,plain,(
% 0.06/0.28 spl0_2|spl0_31),
% 0.06/0.28 inference(split_clause,[status(thm)],[f268,f121,f265])).
% 0.06/0.28 fof(f374,plain,(
% 0.06/0.28 spl0_54 <=> ~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),X0))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f375,plain,(
% 0.06/0.28 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),X0))|~spl0_54)),
% 0.06/0.28 inference(component_clause,[status(thm)],[f374])).
% 0.06/0.28 fof(f377,plain,(
% 0.06/0.28 ![X0]: (~aElement0(sk0_4(xR))|~aElement0(X0)|~aElement0(sk0_3(xR))|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),X0))|~spl0_31)),
% 0.06/0.28 inference(resolution,[status(thm)],[f266,f102])).
% 0.06/0.28 fof(f378,plain,(
% 0.06/0.28 ~spl0_3|spl0_54|~spl0_22|~spl0_31),
% 0.06/0.28 inference(split_clause,[status(thm)],[f377,f124,f374,f224,f265])).
% 0.06/0.28 fof(f379,plain,(
% 0.06/0.28 spl0_55 <=> ~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(X0,xR,sk0_13(sk0_3(xR),X0))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f380,plain,(
% 0.06/0.28 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(X0,xR,sk0_13(sk0_3(xR),X0))|~spl0_55)),
% 0.06/0.28 inference(component_clause,[status(thm)],[f379])).
% 0.06/0.28 fof(f382,plain,(
% 0.06/0.28 ![X0]: (~aElement0(sk0_4(xR))|~aElement0(X0)|~aElement0(sk0_3(xR))|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(X0,xR,sk0_13(sk0_3(xR),X0))|~spl0_31)),
% 0.06/0.28 inference(resolution,[status(thm)],[f266,f101])).
% 0.06/0.28 fof(f383,plain,(
% 0.06/0.28 ~spl0_3|spl0_55|~spl0_22|~spl0_31),
% 0.06/0.28 inference(split_clause,[status(thm)],[f382,f124,f379,f224,f265])).
% 0.06/0.28 fof(f384,plain,(
% 0.06/0.28 spl0_56 <=> ~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|aElement0(sk0_13(sk0_3(xR),X0))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f385,plain,(
% 0.06/0.28 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|aElement0(sk0_13(sk0_3(xR),X0))|~spl0_56)),
% 0.06/0.28 inference(component_clause,[status(thm)],[f384])).
% 0.06/0.28 fof(f387,plain,(
% 0.06/0.28 ![X0]: (~aElement0(sk0_4(xR))|~aElement0(X0)|~aElement0(sk0_3(xR))|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|aElement0(sk0_13(sk0_3(xR),X0))|~spl0_31)),
% 0.06/0.28 inference(resolution,[status(thm)],[f266,f100])).
% 0.06/0.28 fof(f388,plain,(
% 0.06/0.28 ~spl0_3|spl0_56|~spl0_22|~spl0_31),
% 0.06/0.28 inference(split_clause,[status(thm)],[f387,f124,f384,f224,f265])).
% 0.06/0.28 fof(f586,plain,(
% 0.06/0.28 $false|spl0_27),
% 0.06/0.28 inference(forward_subsumption_resolution,[status(thm)],[f249,f96])).
% 0.06/0.28 fof(f587,plain,(
% 0.06/0.28 spl0_27),
% 0.06/0.28 inference(contradiction_clause,[status(thm)],[f586])).
% 0.06/0.28 fof(f712,plain,(
% 0.06/0.28 $false|spl0_23),
% 0.06/0.28 inference(forward_subsumption_resolution,[status(thm)],[f231,f95])).
% 0.06/0.28 fof(f713,plain,(
% 0.06/0.28 spl0_23),
% 0.06/0.28 inference(contradiction_clause,[status(thm)],[f712])).
% 0.06/0.28 fof(f888,plain,(
% 0.06/0.28 spl0_130 <=> sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f889,plain,(
% 0.06/0.28 sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))|~spl0_130),
% 0.06/0.28 inference(component_clause,[status(thm)],[f888])).
% 0.06/0.28 fof(f891,plain,(
% 0.06/0.28 ~aElement0(sk0_2(xR))|sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))|~spl0_54|~spl0_30),
% 0.06/0.28 inference(resolution,[status(thm)],[f375,f261])).
% 0.06/0.28 fof(f892,plain,(
% 0.06/0.28 ~spl0_21|spl0_130|~spl0_54|~spl0_30),
% 0.06/0.28 inference(split_clause,[status(thm)],[f891,f219,f888,f374,f260])).
% 0.06/0.28 fof(f903,plain,(
% 0.06/0.28 spl0_133 <=> sdtmndtasgtdt0(sk0_2(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))),
% 0.06/0.28 introduced(split_symbol_definition)).
% 0.06/0.28 fof(f906,plain,(
% 0.06/0.28 ~aElement0(sk0_2(xR))|sdtmndtasgtdt0(sk0_2(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))|~spl0_55|~spl0_30),
% 0.06/0.29 inference(resolution,[status(thm)],[f380,f261])).
% 0.06/0.29 fof(f907,plain,(
% 0.06/0.29 ~spl0_21|spl0_133|~spl0_55|~spl0_30),
% 0.06/0.29 inference(split_clause,[status(thm)],[f906,f219,f903,f379,f260])).
% 0.06/0.29 fof(f915,plain,(
% 0.06/0.29 spl0_135 <=> aElement0(sk0_13(sk0_3(xR),sk0_2(xR)))),
% 0.06/0.29 introduced(split_symbol_definition)).
% 0.06/0.29 fof(f918,plain,(
% 0.06/0.29 ~aElement0(sk0_2(xR))|aElement0(sk0_13(sk0_3(xR),sk0_2(xR)))|~spl0_56|~spl0_30),
% 0.06/0.29 inference(resolution,[status(thm)],[f385,f261])).
% 0.06/0.29 fof(f919,plain,(
% 0.06/0.29 ~spl0_21|spl0_135|~spl0_56|~spl0_30),
% 0.06/0.29 inference(split_clause,[status(thm)],[f918,f219,f915,f384,f260])).
% 0.06/0.29 fof(f1442,plain,(
% 0.06/0.29 ~aRewritingSystem0(xR)|isConfluent0(xR)|~aElement0(sk0_13(sk0_3(xR),sk0_2(xR)))|~sdtmndtasgtdt0(sk0_2(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))|~spl0_130),
% 0.06/0.29 inference(resolution,[status(thm)],[f889,f61])).
% 0.06/0.29 fof(f1443,plain,(
% 0.06/0.29 ~spl0_0|spl0_2|~spl0_135|~spl0_133|~spl0_130),
% 0.06/0.29 inference(split_clause,[status(thm)],[f1442,f106,f121,f915,f903,f888])).
% 0.06/0.29 fof(f1495,plain,(
% 0.06/0.29 $false),
% 0.06/0.29 inference(sat_refutation,[status(thm)],[f115,f128,f130,f223,f228,f264,f269,f378,f383,f388,f587,f713,f892,f907,f919,f1443])).
% 0.06/0.29 % SZS output end CNFRefutation for theBenchmark.p
% 0.06/0.29 % Elapsed time: 0.035857 seconds
% 0.06/0.29 % CPU time: 0.189166 seconds
% 0.06/0.29 % Memory used: 23.276 MB
%------------------------------------------------------------------------------