TSTP Solution File: GEO648+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:09:25 EDT 2023
% Result : Theorem 3.26s 0.80s
% Output : CNFRefutation 3.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n008.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 12:00:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 3.26/0.80 % Refutation found
% 3.26/0.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.26/0.80 % SZS output start CNFRefutation for theBenchmark
% 3.26/0.80 fof(f5,axiom,(
% 3.26/0.80 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f7,axiom,(
% 3.26/0.80 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f8,axiom,(
% 3.26/0.80 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f9,axiom,(
% 3.26/0.80 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f10,axiom,(
% 3.26/0.80 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f18,axiom,(
% 3.26/0.80 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f19,axiom,(
% 3.26/0.80 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(C,D,A,B,U,V,P,Q) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f20,axiom,(
% 3.26/0.80 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f21,axiom,(
% 3.26/0.80 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(A,B,P,Q,C,D,U,V) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f39,axiom,(
% 3.26/0.80 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f40,axiom,(
% 3.26/0.80 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f43,axiom,(
% 3.26/0.80 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f44,axiom,(
% 3.26/0.80 (! [A,B,C,P,Q,R] :( ( cyclic(A,B,C,P)& cyclic(A,B,C,Q)& cyclic(A,B,C,R)& eqangle(C,A,C,B,R,P,R,Q) )=> cong(A,B,P,Q) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f48,axiom,(
% 3.26/0.80 (! [A,B,O] :( ( eqangle(O,A,A,B,A,B,O,B)& ~ coll(O,A,B) )=> cong(O,A,O,B) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f57,axiom,(
% 3.26/0.80 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f65,axiom,(
% 3.26/0.80 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f67,axiom,(
% 3.26/0.80 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f68,axiom,(
% 3.26/0.80 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f69,axiom,(
% 3.26/0.80 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f75,axiom,(
% 3.26/0.80 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& perp(P,Q,U,V) )=> perp(A,B,C,D) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f95,conjecture,(
% 3.26/0.80 (! [A,B,C,D,E,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :( ( circle(A,B,NWPNT1,NWPNT2)& circle(A,B,C,NWPNT3)& perp(A,C,C,D)& perp(A,B,B,D)& coll(C,A,E)& circle(A,C,E,NWPNT4) )=> para(A,D,B,E) ) )),
% 3.26/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.26/0.80 fof(f96,negated_conjecture,(
% 3.26/0.80 ~((! [A,B,C,D,E,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :( ( circle(A,B,NWPNT1,NWPNT2)& circle(A,B,C,NWPNT3)& perp(A,C,C,D)& perp(A,B,B,D)& coll(C,A,E)& circle(A,C,E,NWPNT4) )=> para(A,D,B,E) ) ))),
% 3.26/0.80 inference(negated_conjecture,[status(cth)],[f95])).
% 3.26/0.80 fof(f106,plain,(
% 3.26/0.80 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 3.26/0.80 fof(f107,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f106])).
% 3.26/0.80 fof(f111,plain,(
% 3.26/0.80 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 3.26/0.80 fof(f112,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f111])).
% 3.26/0.80 fof(f113,plain,(
% 3.26/0.80 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.26/0.80 fof(f114,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f113])).
% 3.26/0.80 fof(f115,plain,(
% 3.26/0.80 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.26/0.80 fof(f116,plain,(
% 3.26/0.80 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.26/0.80 inference(miniscoping,[status(esa)],[f115])).
% 3.26/0.80 fof(f117,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f116])).
% 3.26/0.80 fof(f118,plain,(
% 3.26/0.80 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 3.26/0.80 fof(f119,plain,(
% 3.26/0.80 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 3.26/0.80 inference(miniscoping,[status(esa)],[f118])).
% 3.26/0.80 fof(f120,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f119])).
% 3.26/0.80 fof(f137,plain,(
% 3.26/0.80 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 3.26/0.80 fof(f138,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f137])).
% 3.26/0.80 fof(f139,plain,(
% 3.26/0.80 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.26/0.80 fof(f140,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X2,X3,X0,X1,X6,X7,X4,X5))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f139])).
% 3.26/0.80 fof(f141,plain,(
% 3.26/0.80 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 3.26/0.80 fof(f142,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f141])).
% 3.26/0.80 fof(f143,plain,(
% 3.26/0.80 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.26/0.80 fof(f144,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X4,X5,X2,X3,X6,X7))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f143])).
% 3.26/0.80 fof(f184,plain,(
% 3.26/0.80 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 3.26/0.80 fof(f185,plain,(
% 3.26/0.80 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.26/0.80 inference(miniscoping,[status(esa)],[f184])).
% 3.26/0.80 fof(f186,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f185])).
% 3.26/0.80 fof(f187,plain,(
% 3.26/0.80 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 3.26/0.80 fof(f188,plain,(
% 3.26/0.80 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.26/0.80 inference(miniscoping,[status(esa)],[f187])).
% 3.26/0.80 fof(f189,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f188])).
% 3.26/0.80 fof(f194,plain,(
% 3.26/0.80 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.26/0.80 fof(f195,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f194])).
% 3.26/0.80 fof(f196,plain,(
% 3.26/0.80 ![A,B,C,P,Q,R]: ((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.26/0.80 fof(f197,plain,(
% 3.26/0.80 ![A,B,P,Q]: ((![C,R]: (((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))),
% 3.26/0.80 inference(miniscoping,[status(esa)],[f196])).
% 3.26/0.80 fof(f198,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~cyclic(X0,X1,X2,X5)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f197])).
% 3.26/0.80 fof(f207,plain,(
% 3.26/0.80 ![A,B,O]: ((~eqangle(O,A,A,B,A,B,O,B)|coll(O,A,B))|cong(O,A,O,B))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 3.26/0.80 fof(f208,plain,(
% 3.26/0.80 ![X0,X1,X2]: (~eqangle(X0,X1,X1,X2,X1,X2,X0,X2)|coll(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f207])).
% 3.26/0.80 fof(f231,plain,(
% 3.26/0.80 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 3.26/0.80 fof(f232,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f231])).
% 3.26/0.80 fof(f250,plain,(
% 3.26/0.80 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 3.26/0.80 fof(f251,plain,(
% 3.26/0.80 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 3.26/0.80 inference(miniscoping,[status(esa)],[f250])).
% 3.26/0.80 fof(f252,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f251])).
% 3.26/0.80 fof(f255,plain,(
% 3.26/0.80 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 3.26/0.80 fof(f256,plain,(
% 3.26/0.80 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f255])).
% 3.26/0.80 fof(f257,plain,(
% 3.26/0.80 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 3.26/0.80 fof(f258,plain,(
% 3.26/0.80 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f257])).
% 3.26/0.80 fof(f259,plain,(
% 3.26/0.80 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 3.26/0.80 fof(f260,plain,(
% 3.26/0.80 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f259])).
% 3.26/0.80 fof(f272,plain,(
% 3.26/0.80 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 3.26/0.80 fof(f273,plain,(
% 3.26/0.80 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V)))|perp(A,B,C,D))),
% 3.26/0.80 inference(miniscoping,[status(esa)],[f272])).
% 3.26/0.80 fof(f274,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~perp(X4,X5,X6,X7)|perp(X0,X1,X2,X3))),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f273])).
% 3.26/0.80 fof(f369,plain,(
% 3.26/0.80 (?[A,B,C,D,E,NWPNT1,NWPNT2,NWPNT3,NWPNT4]: ((((((circle(A,B,NWPNT1,NWPNT2)&circle(A,B,C,NWPNT3))&perp(A,C,C,D))&perp(A,B,B,D))&coll(C,A,E))&circle(A,C,E,NWPNT4))&~para(A,D,B,E)))),
% 3.26/0.80 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 3.26/0.80 fof(f370,plain,(
% 3.26/0.80 ?[A,B,D,E]: ((?[C]: ((((((?[NWPNT1,NWPNT2]: circle(A,B,NWPNT1,NWPNT2))&(?[NWPNT3]: circle(A,B,C,NWPNT3)))&perp(A,C,C,D))&perp(A,B,B,D))&coll(C,A,E))&(?[NWPNT4]: circle(A,C,E,NWPNT4))))&~para(A,D,B,E))),
% 3.26/0.80 inference(miniscoping,[status(esa)],[f369])).
% 3.26/0.80 fof(f371,plain,(
% 3.26/0.80 ((((((circle(sk0_20,sk0_21,sk0_25,sk0_26)&circle(sk0_20,sk0_21,sk0_24,sk0_27))&perp(sk0_20,sk0_24,sk0_24,sk0_22))&perp(sk0_20,sk0_21,sk0_21,sk0_22))&coll(sk0_24,sk0_20,sk0_23))&circle(sk0_20,sk0_24,sk0_23,sk0_28))&~para(sk0_20,sk0_22,sk0_21,sk0_23))),
% 3.26/0.80 inference(skolemization,[status(esa)],[f370])).
% 3.26/0.80 fof(f374,plain,(
% 3.26/0.80 perp(sk0_20,sk0_24,sk0_24,sk0_22)),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f371])).
% 3.26/0.80 fof(f375,plain,(
% 3.26/0.80 perp(sk0_20,sk0_21,sk0_21,sk0_22)),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f371])).
% 3.26/0.80 fof(f378,plain,(
% 3.26/0.80 ~para(sk0_20,sk0_22,sk0_21,sk0_23)),
% 3.26/0.80 inference(cnf_transformation,[status(esa)],[f371])).
% 3.26/0.80 fof(f379,plain,(
% 3.26/0.80 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_21)|para(X0,X1,sk0_21,sk0_22))),
% 3.26/0.80 inference(resolution,[status(thm)],[f117,f375])).
% 3.26/0.80 fof(f381,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~perp(X4,X5,X2,X3))),
% 3.26/0.80 inference(resolution,[status(thm)],[f117,f114])).
% 3.26/0.80 fof(f383,plain,(
% 3.26/0.80 ![X0,X1]: (para(X0,X1,sk0_21,sk0_22)|~perp(sk0_20,sk0_21,X0,X1))),
% 3.26/0.80 inference(resolution,[status(thm)],[f379,f114])).
% 3.26/0.80 fof(f389,plain,(
% 3.26/0.80 ![X0,X1]: (para(X0,X1,sk0_21,sk0_22)|~perp(sk0_20,sk0_21,X1,X0))),
% 3.26/0.80 inference(resolution,[status(thm)],[f383,f112])).
% 3.26/0.80 fof(f577,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|perp(X0,X1,X4,X5)|~perp(X4,X5,X2,X3))),
% 3.26/0.80 inference(resolution,[status(thm)],[f120,f114])).
% 3.26/0.80 fof(f765,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|~para(X1,X0,X4,X5))),
% 3.26/0.80 inference(resolution,[status(thm)],[f138,f189])).
% 3.26/0.80 fof(f767,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 3.26/0.80 inference(resolution,[status(thm)],[f140,f189])).
% 3.26/0.80 fof(f769,plain,(
% 3.26/0.80 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|~para(X4,X5,X0,X1))),
% 3.26/0.80 inference(resolution,[status(thm)],[f142,f189])).
% 3.26/0.80 fof(f1133,plain,(
% 3.26/0.80 ![X0,X1]: (~perp(X0,X1,sk0_21,sk0_22)|para(X0,X1,sk0_20,sk0_21))),
% 3.26/0.80 inference(resolution,[status(thm)],[f381,f375])).
% 3.26/0.80 fof(f1134,plain,(
% 3.26/0.80 ![X0,X1]: (~perp(X0,X1,sk0_24,sk0_22)|para(X0,X1,sk0_20,sk0_24))),
% 3.26/0.80 inference(resolution,[status(thm)],[f381,f374])).
% 3.26/0.80 fof(f1141,plain,(
% 3.26/0.80 ![X0,X1]: (~para(X0,X1,sk0_21,sk0_22)|perp(X0,X1,sk0_20,sk0_21))),
% 3.26/0.80 inference(resolution,[status(thm)],[f577,f375])).
% 3.26/0.80 fof(f1367,plain,(
% 3.26/0.80 ![X0,X1]: (para(X0,X1,sk0_20,sk0_21)|~perp(X0,X1,sk0_22,sk0_21))),
% 3.26/0.80 inference(resolution,[status(thm)],[f1133,f112])).
% 3.26/0.80 fof(f1401,plain,(
% 3.26/0.80 para(sk0_20,sk0_24,sk0_20,sk0_24)),
% 3.26/0.80 inference(resolution,[status(thm)],[f1134,f374])).
% 3.26/0.80 fof(f1615,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X1,X0,X2,X3))),
% 3.26/0.80 inference(resolution,[status(thm)],[f765,f186])).
% 3.26/0.80 fof(f1654,plain,(
% 3.26/0.80 spl0_6 <=> ~para(X0,X1,X0,X1)),
% 3.26/0.80 introduced(split_symbol_definition)).
% 3.26/0.80 fof(f1655,plain,(
% 3.26/0.80 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_6)),
% 3.26/0.80 inference(component_clause,[status(thm)],[f1654])).
% 3.26/0.80 fof(f1657,plain,(
% 3.26/0.80 spl0_7 <=> para(X2,X3,X2,X3)),
% 3.26/0.80 introduced(split_symbol_definition)).
% 3.26/0.80 fof(f1658,plain,(
% 3.26/0.80 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_7)),
% 3.26/0.80 inference(component_clause,[status(thm)],[f1657])).
% 3.26/0.80 fof(f1660,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 3.26/0.80 inference(resolution,[status(thm)],[f767,f186])).
% 3.26/0.80 fof(f1661,plain,(
% 3.26/0.80 spl0_6|spl0_7),
% 3.26/0.80 inference(split_clause,[status(thm)],[f1660,f1654,f1657])).
% 3.26/0.80 fof(f1662,plain,(
% 3.26/0.80 $false|~spl0_6),
% 3.26/0.80 inference(backward_subsumption_resolution,[status(thm)],[f1401,f1655])).
% 3.26/0.80 fof(f1663,plain,(
% 3.26/0.80 ~spl0_6),
% 3.26/0.80 inference(contradiction_clause,[status(thm)],[f1662])).
% 3.26/0.80 fof(f1716,plain,(
% 3.26/0.80 ![X0,X1]: (para(X0,X1,X1,X0)|~spl0_7)),
% 3.26/0.80 inference(resolution,[status(thm)],[f1658,f1615])).
% 3.26/0.80 fof(f1983,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3)|~spl0_7)),
% 3.26/0.80 inference(resolution,[status(thm)],[f769,f1716])).
% 3.26/0.80 fof(f1984,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3)|~spl0_7)),
% 3.26/0.80 inference(resolution,[status(thm)],[f769,f1658])).
% 3.26/0.80 fof(f1985,plain,(
% 3.26/0.80 ![X0]: (coll(X0,X0,X0)|cong(X0,X0,X0,X0)|~spl0_7)),
% 3.26/0.80 inference(resolution,[status(thm)],[f1983,f208])).
% 3.26/0.80 fof(f1991,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X2,X3)|~spl0_7)),
% 3.26/0.80 inference(resolution,[status(thm)],[f1983,f144])).
% 3.26/0.80 fof(f2001,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3)|~spl0_7)),
% 3.26/0.80 inference(resolution,[status(thm)],[f1984,f144])).
% 3.26/0.80 fof(f2019,plain,(
% 3.26/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X3,X2)|~spl0_7)),
% 3.26/0.80 inference(resolution,[status(thm)],[f1991,f142])).
% 3.26/0.80 fof(f2053,plain,(
% 3.26/0.80 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2)|~spl0_7)),
% 3.26/0.80 inference(resolution,[status(thm)],[f2019,f198])).
% 3.26/0.80 fof(f2054,plain,(
% 3.26/0.80 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2)|~spl0_7)),
% 3.26/0.80 inference(duplicate_literals_removal,[status(esa)],[f2053])).
% 3.26/0.80 fof(f2111,plain,(
% 3.26/0.80 ![X0,X1,X2]: (cong(X0,X0,X1,X1)|~eqangle(X2,X0,X2,X0,X1,X0,X1,X0)|~coll(X2,X1,X0)|~spl0_7)),
% 3.26/0.80 inference(resolution,[status(thm)],[f2054,f195])).
% 3.26/0.80 fof(f2112,plain,(
% 3.26/0.80 ![X0,X1,X2]: (cong(X0,X0,X1,X1)|~coll(X2,X1,X0)|~spl0_7)),
% 3.26/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2111,f2001])).
% 3.26/0.80 fof(f2119,plain,(
% 3.26/0.80 ![X0]: (cong(X0,X0,X0,X0)|~spl0_7)),
% 3.26/0.80 inference(backward_subsumption_resolution,[status(thm)],[f1985,f2112])).
% 3.26/0.81 fof(f2130,plain,(
% 3.26/0.81 ![X0]: (~coll(X0,X0,X0)|midp(X0,X0,X0)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2119,f258])).
% 3.26/0.81 fof(f2158,plain,(
% 3.26/0.81 ![X0]: (midp(X0,X0,X0)|~para(X0,X0,X0,X0)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2130,f256])).
% 3.26/0.81 fof(f2159,plain,(
% 3.26/0.81 ![X0]: (midp(X0,X0,X0)|~spl0_7)),
% 3.26/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2158,f1716])).
% 3.26/0.81 fof(f2165,plain,(
% 3.26/0.81 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|~para(X0,X2,X0,X1)|midp(X0,X1,X2)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2159,f252])).
% 3.26/0.81 fof(f2166,plain,(
% 3.26/0.81 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_7)),
% 3.26/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2165,f107])).
% 3.26/0.81 fof(f2206,plain,(
% 3.26/0.81 ![X0,X1]: (midp(X0,X1,X1)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2166,f1658])).
% 3.26/0.81 fof(f2212,plain,(
% 3.26/0.81 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2206,f260])).
% 3.26/0.81 fof(f2230,plain,(
% 3.26/0.81 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2212,f232])).
% 3.26/0.81 fof(f2231,plain,(
% 3.26/0.81 ![X0,X1,X2]: (perp(X0,X0,X1,X2)|~spl0_7)),
% 3.26/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2230,f2212])).
% 3.26/0.81 fof(f2248,plain,(
% 3.26/0.81 ![X0]: (para(X0,X0,sk0_20,sk0_21)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2231,f1367])).
% 3.26/0.81 fof(f2273,plain,(
% 3.26/0.81 ![X0,X1,X2]: (eqangle(sk0_20,sk0_21,X0,X1,X2,X2,X0,X1)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2248,f769])).
% 3.26/0.81 fof(f2527,plain,(
% 3.26/0.81 ![X0,X1,X2]: (~perp(X0,X0,X1,X2)|perp(sk0_20,sk0_21,X1,X2)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2273,f274])).
% 3.26/0.81 fof(f2528,plain,(
% 3.26/0.81 ![X0,X1]: (perp(sk0_20,sk0_21,X0,X1)|~spl0_7)),
% 3.26/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2527,f2231])).
% 3.26/0.81 fof(f2542,plain,(
% 3.26/0.81 ![X0,X1]: (para(X0,X1,sk0_21,sk0_22)|~spl0_7)),
% 3.26/0.81 inference(backward_subsumption_resolution,[status(thm)],[f389,f2528])).
% 3.26/0.81 fof(f2563,plain,(
% 3.26/0.81 ![X0,X1]: (perp(X0,X1,sk0_20,sk0_21)|~spl0_7)),
% 3.26/0.81 inference(backward_subsumption_resolution,[status(thm)],[f1141,f2542])).
% 3.26/0.81 fof(f2605,plain,(
% 3.26/0.81 ![X0,X1,X2,X3]: (~perp(X0,X1,sk0_20,sk0_21)|para(X0,X1,X2,X3)|~spl0_7)),
% 3.26/0.81 inference(resolution,[status(thm)],[f2563,f381])).
% 3.26/0.81 fof(f2606,plain,(
% 3.26/0.81 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_7)),
% 3.26/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2605,f2563])).
% 3.26/0.81 fof(f2671,plain,(
% 3.26/0.81 $false|~spl0_7),
% 3.26/0.81 inference(backward_subsumption_resolution,[status(thm)],[f378,f2606])).
% 3.26/0.81 fof(f2672,plain,(
% 3.26/0.81 ~spl0_7),
% 3.26/0.81 inference(contradiction_clause,[status(thm)],[f2671])).
% 3.26/0.81 fof(f2673,plain,(
% 3.26/0.81 $false),
% 3.26/0.81 inference(sat_refutation,[status(thm)],[f1661,f1663,f2672])).
% 3.26/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 3.26/0.81 % Elapsed time: 0.466113 seconds
% 3.26/0.81 % CPU time: 3.554476 seconds
% 3.26/0.81 % Memory used: 85.525 MB
%------------------------------------------------------------------------------