TSTP Solution File: COM023+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n015.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 20:14:04 EDT 2024
% Result : Theorem 0.20s 0.56s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n015.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 : Tue Apr 30 01:25:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.56 % Refutation found
% 0.20/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.56 fof(f10,definition,(
% 0.20/0.56 (! [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) ) )) )) ) )),
% 0.20/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f15,hypothesis,(
% 0.20/0.56 aRewritingSystem0(xR) ),
% 0.20/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f16,hypothesis,(
% 0.20/0.56 ( isLocallyConfluent0(xR)& isTerminating0(xR) ) ),
% 0.20/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f17,hypothesis,(
% 0.20/0.56 (! [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) ) )) )),
% 0.20/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f18,conjecture,(
% 0.20/0.56 isConfluent0(xR) ),
% 0.20/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f19,negated_conjecture,(
% 0.20/0.56 ~(isConfluent0(xR) )),
% 0.20/0.56 inference(negated_conjecture,[status(cth)],[f18])).
% 0.20/0.56 fof(f49,plain,(
% 0.20/0.56 ![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)))))))),
% 0.20/0.56 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.20/0.56 fof(f50,plain,(
% 0.20/0.56 ![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))))))))),
% 0.20/0.56 inference(NNF_transformation,[status(esa)],[f49])).
% 0.20/0.56 fof(f51,plain,(
% 0.20/0.56 ![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))))))))),
% 0.20/0.56 inference(miniscoping,[status(esa)],[f50])).
% 0.20/0.56 fof(f52,plain,(
% 0.20/0.56 ![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)))))))),
% 0.20/0.56 inference(skolemization,[status(esa)],[f51])).
% 0.20/0.56 fof(f56,plain,(
% 0.20/0.56 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|aElement0(sk0_4(X0)))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f52])).
% 0.20/0.56 fof(f57,plain,(
% 0.20/0.56 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|aElement0(sk0_2(X0)))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f52])).
% 0.20/0.56 fof(f58,plain,(
% 0.20/0.56 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|aElement0(sk0_3(X0)))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f52])).
% 0.20/0.56 fof(f59,plain,(
% 0.20/0.56 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|sdtmndtasgtdt0(sk0_4(X0),X0,sk0_2(X0)))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f52])).
% 0.20/0.56 fof(f60,plain,(
% 0.20/0.56 ![X0]: (~aRewritingSystem0(X0)|isConfluent0(X0)|sdtmndtasgtdt0(sk0_4(X0),X0,sk0_3(X0)))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f52])).
% 0.20/0.56 fof(f61,plain,(
% 0.20/0.56 ![X0,X1]: (~aRewritingSystem0(X0)|isConfluent0(X0)|~aElement0(X1)|~sdtmndtasgtdt0(sk0_2(X0),X0,X1)|~sdtmndtasgtdt0(sk0_3(X0),X0,X1))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f52])).
% 0.20/0.57 fof(f94,plain,(
% 0.20/0.57 aRewritingSystem0(xR)),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.57 fof(f95,plain,(
% 0.20/0.57 isLocallyConfluent0(xR)),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.57 fof(f96,plain,(
% 0.20/0.57 isTerminating0(xR)),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.57 fof(f97,plain,(
% 0.20/0.57 ![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))))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.20/0.57 fof(f98,plain,(
% 0.20/0.57 ![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))))),
% 0.20/0.57 inference(miniscoping,[status(esa)],[f97])).
% 0.20/0.57 fof(f99,plain,(
% 0.20/0.57 ![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))))),
% 0.20/0.57 inference(skolemization,[status(esa)],[f98])).
% 0.20/0.57 fof(f100,plain,(
% 0.20/0.57 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|aElement0(sk0_13(X2,X1)))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f99])).
% 0.20/0.57 fof(f101,plain,(
% 0.20/0.57 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|sdtmndtasgtdt0(X1,xR,sk0_13(X2,X1)))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f99])).
% 0.20/0.57 fof(f102,plain,(
% 0.20/0.57 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|sdtmndtasgtdt0(X2,xR,sk0_13(X2,X1)))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f99])).
% 0.20/0.57 fof(f103,plain,(
% 0.20/0.57 ~isConfluent0(xR)),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.57 fof(f111,plain,(
% 0.20/0.57 spl0_0 <=> isConfluent0(xR)),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f112,plain,(
% 0.20/0.57 isConfluent0(xR)|~spl0_0),
% 0.20/0.57 inference(component_clause,[status(thm)],[f111])).
% 0.20/0.57 fof(f114,plain,(
% 0.20/0.57 spl0_1 <=> aElement0(sk0_4(xR))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f117,plain,(
% 0.20/0.57 isConfluent0(xR)|aElement0(sk0_4(xR))),
% 0.20/0.57 inference(resolution,[status(thm)],[f56,f94])).
% 0.20/0.57 fof(f118,plain,(
% 0.20/0.57 spl0_0|spl0_1),
% 0.20/0.57 inference(split_clause,[status(thm)],[f117,f111,f114])).
% 0.20/0.57 fof(f119,plain,(
% 0.20/0.57 $false|~spl0_0),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f112,f103])).
% 0.20/0.57 fof(f120,plain,(
% 0.20/0.57 ~spl0_0),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f119])).
% 0.20/0.57 fof(f121,plain,(
% 0.20/0.57 spl0_2 <=> aElement0(sk0_2(xR))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f124,plain,(
% 0.20/0.57 isConfluent0(xR)|aElement0(sk0_2(xR))),
% 0.20/0.57 inference(resolution,[status(thm)],[f57,f94])).
% 0.20/0.57 fof(f125,plain,(
% 0.20/0.57 spl0_0|spl0_2),
% 0.20/0.57 inference(split_clause,[status(thm)],[f124,f111,f121])).
% 0.20/0.57 fof(f126,plain,(
% 0.20/0.57 spl0_3 <=> aElement0(sk0_3(xR))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f129,plain,(
% 0.20/0.57 isConfluent0(xR)|aElement0(sk0_3(xR))),
% 0.20/0.57 inference(resolution,[status(thm)],[f58,f94])).
% 0.20/0.57 fof(f130,plain,(
% 0.20/0.57 spl0_0|spl0_3),
% 0.20/0.57 inference(split_clause,[status(thm)],[f129,f111,f126])).
% 0.20/0.57 fof(f131,plain,(
% 0.20/0.57 spl0_4 <=> isLocallyConfluent0(xR)),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f133,plain,(
% 0.20/0.57 ~isLocallyConfluent0(xR)|spl0_4),
% 0.20/0.57 inference(component_clause,[status(thm)],[f131])).
% 0.20/0.57 fof(f149,plain,(
% 0.20/0.57 spl0_8 <=> isTerminating0(xR)),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f151,plain,(
% 0.20/0.57 ~isTerminating0(xR)|spl0_8),
% 0.20/0.57 inference(component_clause,[status(thm)],[f149])).
% 0.20/0.57 fof(f162,plain,(
% 0.20/0.57 spl0_11 <=> sdtmndtasgtdt0(sk0_4(xR),xR,sk0_2(xR))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f163,plain,(
% 0.20/0.57 sdtmndtasgtdt0(sk0_4(xR),xR,sk0_2(xR))|~spl0_11),
% 0.20/0.57 inference(component_clause,[status(thm)],[f162])).
% 0.20/0.57 fof(f165,plain,(
% 0.20/0.57 isConfluent0(xR)|sdtmndtasgtdt0(sk0_4(xR),xR,sk0_2(xR))),
% 0.20/0.57 inference(resolution,[status(thm)],[f59,f94])).
% 0.20/0.57 fof(f166,plain,(
% 0.20/0.57 spl0_0|spl0_11),
% 0.20/0.57 inference(split_clause,[status(thm)],[f165,f111,f162])).
% 0.20/0.57 fof(f167,plain,(
% 0.20/0.57 spl0_12 <=> sdtmndtasgtdt0(sk0_4(xR),xR,sk0_3(xR))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f168,plain,(
% 0.20/0.57 sdtmndtasgtdt0(sk0_4(xR),xR,sk0_3(xR))|~spl0_12),
% 0.20/0.57 inference(component_clause,[status(thm)],[f167])).
% 0.20/0.57 fof(f170,plain,(
% 0.20/0.57 isConfluent0(xR)|sdtmndtasgtdt0(sk0_4(xR),xR,sk0_3(xR))),
% 0.20/0.57 inference(resolution,[status(thm)],[f60,f94])).
% 0.20/0.57 fof(f171,plain,(
% 0.20/0.57 spl0_0|spl0_12),
% 0.20/0.57 inference(split_clause,[status(thm)],[f170,f111,f167])).
% 0.20/0.57 fof(f190,plain,(
% 0.20/0.57 spl0_16 <=> aRewritingSystem0(xR)),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f192,plain,(
% 0.20/0.57 ~aRewritingSystem0(xR)|spl0_16),
% 0.20/0.57 inference(component_clause,[status(thm)],[f190])).
% 0.20/0.57 fof(f276,plain,(
% 0.20/0.57 $false|spl0_16),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f192,f94])).
% 0.20/0.57 fof(f277,plain,(
% 0.20/0.57 spl0_16),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f276])).
% 0.20/0.57 fof(f654,plain,(
% 0.20/0.57 spl0_98 <=> ~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),X0))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f655,plain,(
% 0.20/0.57 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),X0))|~spl0_98)),
% 0.20/0.57 inference(component_clause,[status(thm)],[f654])).
% 0.20/0.57 fof(f657,plain,(
% 0.20/0.57 ![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_12)),
% 0.20/0.57 inference(resolution,[status(thm)],[f168,f102])).
% 0.20/0.57 fof(f658,plain,(
% 0.20/0.57 ~spl0_1|spl0_98|~spl0_3|~spl0_12),
% 0.20/0.57 inference(split_clause,[status(thm)],[f657,f114,f654,f126,f167])).
% 0.20/0.57 fof(f659,plain,(
% 0.20/0.57 spl0_99 <=> ~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(X0,xR,sk0_13(sk0_3(xR),X0))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f660,plain,(
% 0.20/0.57 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|sdtmndtasgtdt0(X0,xR,sk0_13(sk0_3(xR),X0))|~spl0_99)),
% 0.20/0.57 inference(component_clause,[status(thm)],[f659])).
% 0.20/0.57 fof(f662,plain,(
% 0.20/0.57 ![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_12)),
% 0.20/0.57 inference(resolution,[status(thm)],[f168,f101])).
% 0.20/0.57 fof(f663,plain,(
% 0.20/0.57 ~spl0_1|spl0_99|~spl0_3|~spl0_12),
% 0.20/0.57 inference(split_clause,[status(thm)],[f662,f114,f659,f126,f167])).
% 0.20/0.57 fof(f664,plain,(
% 0.20/0.57 spl0_100 <=> ~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|aElement0(sk0_13(sk0_3(xR),X0))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f665,plain,(
% 0.20/0.57 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(sk0_4(xR),xR,X0)|aElement0(sk0_13(sk0_3(xR),X0))|~spl0_100)),
% 0.20/0.57 inference(component_clause,[status(thm)],[f664])).
% 0.20/0.57 fof(f667,plain,(
% 0.20/0.57 ![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_12)),
% 0.20/0.57 inference(resolution,[status(thm)],[f168,f100])).
% 0.20/0.57 fof(f668,plain,(
% 0.20/0.57 ~spl0_1|spl0_100|~spl0_3|~spl0_12),
% 0.20/0.57 inference(split_clause,[status(thm)],[f667,f114,f664,f126,f167])).
% 0.20/0.57 fof(f908,plain,(
% 0.20/0.57 $false|spl0_8),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f151,f96])).
% 0.20/0.57 fof(f909,plain,(
% 0.20/0.57 spl0_8),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f908])).
% 0.20/0.57 fof(f1104,plain,(
% 0.20/0.57 $false|spl0_4),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f133,f95])).
% 0.20/0.57 fof(f1105,plain,(
% 0.20/0.57 spl0_4),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f1104])).
% 0.20/0.57 fof(f1199,plain,(
% 0.20/0.57 spl0_165 <=> sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f1200,plain,(
% 0.20/0.57 sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))|~spl0_165),
% 0.20/0.57 inference(component_clause,[status(thm)],[f1199])).
% 0.20/0.57 fof(f1202,plain,(
% 0.20/0.57 ~aElement0(sk0_2(xR))|sdtmndtasgtdt0(sk0_3(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))|~spl0_98|~spl0_11),
% 0.20/0.57 inference(resolution,[status(thm)],[f655,f163])).
% 0.20/0.57 fof(f1203,plain,(
% 0.20/0.57 ~spl0_2|spl0_165|~spl0_98|~spl0_11),
% 0.20/0.57 inference(split_clause,[status(thm)],[f1202,f121,f1199,f654,f162])).
% 0.20/0.57 fof(f1214,plain,(
% 0.20/0.57 spl0_168 <=> sdtmndtasgtdt0(sk0_2(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f1217,plain,(
% 0.20/0.57 ~aElement0(sk0_2(xR))|sdtmndtasgtdt0(sk0_2(xR),xR,sk0_13(sk0_3(xR),sk0_2(xR)))|~spl0_99|~spl0_11),
% 0.20/0.57 inference(resolution,[status(thm)],[f660,f163])).
% 0.20/0.57 fof(f1218,plain,(
% 0.20/0.57 ~spl0_2|spl0_168|~spl0_99|~spl0_11),
% 0.20/0.57 inference(split_clause,[status(thm)],[f1217,f121,f1214,f659,f162])).
% 0.20/0.57 fof(f1304,plain,(
% 0.20/0.57 spl0_184 <=> aElement0(sk0_13(sk0_3(xR),sk0_2(xR)))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f1307,plain,(
% 0.20/0.57 ~aElement0(sk0_2(xR))|aElement0(sk0_13(sk0_3(xR),sk0_2(xR)))|~spl0_100|~spl0_11),
% 0.20/0.57 inference(resolution,[status(thm)],[f665,f163])).
% 0.20/0.57 fof(f1308,plain,(
% 0.20/0.57 ~spl0_2|spl0_184|~spl0_100|~spl0_11),
% 0.20/0.57 inference(split_clause,[status(thm)],[f1307,f121,f1304,f664,f162])).
% 0.20/0.57 fof(f1586,plain,(
% 0.20/0.57 ~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_165),
% 0.20/0.57 inference(resolution,[status(thm)],[f1200,f61])).
% 0.20/0.57 fof(f1587,plain,(
% 0.20/0.57 ~spl0_16|spl0_0|~spl0_184|~spl0_168|~spl0_165),
% 0.20/0.57 inference(split_clause,[status(thm)],[f1586,f190,f111,f1304,f1214,f1199])).
% 0.20/0.57 fof(f1639,plain,(
% 0.20/0.57 $false),
% 0.20/0.57 inference(sat_refutation,[status(thm)],[f118,f120,f125,f130,f166,f171,f277,f658,f663,f668,f909,f1105,f1203,f1218,f1308,f1587])).
% 0.20/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.57 % Elapsed time: 0.217427 seconds
% 0.20/0.57 % CPU time: 1.635191 seconds
% 0.20/0.57 % Total memory used: 70.682 MB
% 0.20/0.57 % Net memory used: 70.030 MB
%------------------------------------------------------------------------------