TSTP Solution File: GEO558+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:09:09 EDT 2023
% Result : Theorem 3.01s 0.80s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n001.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 12:33:30 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 3.01/0.80 % Refutation found
% 3.01/0.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.01/0.80 % SZS output start CNFRefutation for theBenchmark
% 3.01/0.80 fof(f4,axiom,(
% 3.01/0.80 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f5,axiom,(
% 3.01/0.80 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f7,axiom,(
% 3.01/0.80 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f8,axiom,(
% 3.01/0.80 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f9,axiom,(
% 3.01/0.80 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f10,axiom,(
% 3.01/0.80 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f17,axiom,(
% 3.01/0.80 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f19,axiom,(
% 3.01/0.80 (! [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) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f21,axiom,(
% 3.01/0.80 (! [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) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f39,axiom,(
% 3.01/0.80 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f40,axiom,(
% 3.01/0.80 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f41,axiom,(
% 3.01/0.80 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f42,axiom,(
% 3.01/0.80 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f43,axiom,(
% 3.01/0.80 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f44,axiom,(
% 3.01/0.80 (! [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) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f58,axiom,(
% 3.01/0.80 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f87,axiom,(
% 3.01/0.80 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f95,conjecture,(
% 3.01/0.80 (! [A,C,K,O,N,B,G,O1,M,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,C,K)& circle(O,A,N,NWPNT1)& coll(B,A,K)& coll(B,C,N)& circle(G,A,C,B)& circle(O1,K,N,B)& circle(G,A,M,NWPNT2)& circle(O1,K,M,NWPNT3) )=> perp(B,M,M,O) ) )),
% 3.01/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/0.80 fof(f96,negated_conjecture,(
% 3.01/0.80 ~((! [A,C,K,O,N,B,G,O1,M,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,C,K)& circle(O,A,N,NWPNT1)& coll(B,A,K)& coll(B,C,N)& circle(G,A,C,B)& circle(O1,K,N,B)& circle(G,A,M,NWPNT2)& circle(O1,K,M,NWPNT3) )=> perp(B,M,M,O) ) ))),
% 3.01/0.80 inference(negated_conjecture,[status(cth)],[f95])).
% 3.01/0.80 fof(f104,plain,(
% 3.01/0.80 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 3.01/0.80 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 3.01/0.80 fof(f105,plain,(
% 3.01/0.80 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 3.01/0.80 inference(cnf_transformation,[status(esa)],[f104])).
% 3.01/0.80 fof(f106,plain,(
% 3.01/0.80 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 3.01/0.80 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 3.01/0.80 fof(f107,plain,(
% 3.01/0.80 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 3.01/0.80 inference(cnf_transformation,[status(esa)],[f106])).
% 3.01/0.80 fof(f111,plain,(
% 3.01/0.80 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 3.01/0.80 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 3.01/0.80 fof(f112,plain,(
% 3.01/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 3.01/0.80 inference(cnf_transformation,[status(esa)],[f111])).
% 3.01/0.81 fof(f113,plain,(
% 3.01/0.81 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.01/0.81 fof(f114,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f113])).
% 3.01/0.81 fof(f115,plain,(
% 3.01/0.81 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.01/0.81 fof(f116,plain,(
% 3.01/0.81 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.01/0.81 inference(miniscoping,[status(esa)],[f115])).
% 3.01/0.81 fof(f117,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f116])).
% 3.01/0.81 fof(f118,plain,(
% 3.01/0.81 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 3.01/0.81 fof(f119,plain,(
% 3.01/0.81 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 3.01/0.81 inference(miniscoping,[status(esa)],[f118])).
% 3.01/0.81 fof(f120,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f119])).
% 3.01/0.81 fof(f134,plain,(
% 3.01/0.81 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.01/0.81 fof(f135,plain,(
% 3.01/0.81 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.01/0.81 inference(miniscoping,[status(esa)],[f134])).
% 3.01/0.81 fof(f136,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f135])).
% 3.01/0.81 fof(f139,plain,(
% 3.01/0.81 ![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))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.01/0.81 fof(f140,plain,(
% 3.01/0.81 ![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))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f139])).
% 3.01/0.81 fof(f143,plain,(
% 3.01/0.81 ![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))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.01/0.81 fof(f144,plain,(
% 3.01/0.81 ![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))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f143])).
% 3.01/0.81 fof(f184,plain,(
% 3.01/0.81 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 3.01/0.81 fof(f185,plain,(
% 3.01/0.81 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.01/0.81 inference(miniscoping,[status(esa)],[f184])).
% 3.01/0.81 fof(f186,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f185])).
% 3.01/0.81 fof(f187,plain,(
% 3.01/0.81 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 3.01/0.81 fof(f188,plain,(
% 3.01/0.81 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.01/0.81 inference(miniscoping,[status(esa)],[f187])).
% 3.01/0.81 fof(f189,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f188])).
% 3.01/0.81 fof(f190,plain,(
% 3.01/0.81 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 3.01/0.81 fof(f191,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f190])).
% 3.01/0.81 fof(f192,plain,(
% 3.01/0.81 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 3.01/0.81 fof(f193,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f192])).
% 3.01/0.81 fof(f194,plain,(
% 3.01/0.81 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.01/0.81 fof(f195,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f194])).
% 3.01/0.81 fof(f196,plain,(
% 3.01/0.81 ![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))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.01/0.81 fof(f197,plain,(
% 3.01/0.81 ![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))),
% 3.01/0.81 inference(miniscoping,[status(esa)],[f196])).
% 3.01/0.81 fof(f198,plain,(
% 3.01/0.81 ![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))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f197])).
% 3.01/0.81 fof(f233,plain,(
% 3.01/0.81 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 3.01/0.81 fof(f234,plain,(
% 3.01/0.81 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 3.01/0.81 inference(miniscoping,[status(esa)],[f233])).
% 3.01/0.81 fof(f235,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f234])).
% 3.01/0.81 fof(f331,plain,(
% 3.01/0.81 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 3.01/0.81 fof(f332,plain,(
% 3.01/0.81 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 3.01/0.81 inference(miniscoping,[status(esa)],[f331])).
% 3.01/0.81 fof(f333,plain,(
% 3.01/0.81 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sk0_11(O,A),A,A,O))),
% 3.01/0.81 inference(skolemization,[status(esa)],[f332])).
% 3.01/0.81 fof(f334,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sk0_11(X0,X1),X1,X1,X0))),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f333])).
% 3.01/0.81 fof(f369,plain,(
% 3.01/0.81 (?[A,C,K,O,N,B,G,O1,M,NWPNT1,NWPNT2,NWPNT3]: ((((((((circle(O,A,C,K)&circle(O,A,N,NWPNT1))&coll(B,A,K))&coll(B,C,N))&circle(G,A,C,B))&circle(O1,K,N,B))&circle(G,A,M,NWPNT2))&circle(O1,K,M,NWPNT3))&~perp(B,M,M,O)))),
% 3.01/0.81 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 3.01/0.81 fof(f370,plain,(
% 3.01/0.81 ?[O,B,M]: ((?[K,O1]: ((?[A,G]: ((?[N]: ((?[C]: ((((circle(O,A,C,K)&(?[NWPNT1]: circle(O,A,N,NWPNT1)))&coll(B,A,K))&coll(B,C,N))&circle(G,A,C,B)))&circle(O1,K,N,B)))&(?[NWPNT2]: circle(G,A,M,NWPNT2))))&(?[NWPNT3]: circle(O1,K,M,NWPNT3))))&~perp(B,M,M,O))),
% 3.01/0.81 inference(miniscoping,[status(esa)],[f369])).
% 3.01/0.81 fof(f371,plain,(
% 3.01/0.81 ((((((((circle(sk0_20,sk0_25,sk0_28,sk0_23)&circle(sk0_20,sk0_25,sk0_27,sk0_29))&coll(sk0_21,sk0_25,sk0_23))&coll(sk0_21,sk0_28,sk0_27))&circle(sk0_26,sk0_25,sk0_28,sk0_21))&circle(sk0_24,sk0_23,sk0_27,sk0_21))&circle(sk0_26,sk0_25,sk0_22,sk0_30))&circle(sk0_24,sk0_23,sk0_22,sk0_31))&~perp(sk0_21,sk0_22,sk0_22,sk0_20))),
% 3.01/0.81 inference(skolemization,[status(esa)],[f370])).
% 3.01/0.81 fof(f377,plain,(
% 3.01/0.81 circle(sk0_24,sk0_23,sk0_27,sk0_21)),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f371])).
% 3.01/0.81 fof(f379,plain,(
% 3.01/0.81 circle(sk0_24,sk0_23,sk0_22,sk0_31)),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f371])).
% 3.01/0.81 fof(f380,plain,(
% 3.01/0.81 ~perp(sk0_21,sk0_22,sk0_22,sk0_20)),
% 3.01/0.81 inference(cnf_transformation,[status(esa)],[f371])).
% 3.01/0.81 fof(f388,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(X1,X0,sk0_11(X0,X1),X1))),
% 3.01/0.81 inference(resolution,[status(thm)],[f334,f114])).
% 3.01/0.81 fof(f389,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sk0_11(X0,X1),X1,X0,X1))),
% 3.01/0.81 inference(resolution,[status(thm)],[f334,f112])).
% 3.01/0.81 fof(f392,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~perp(X4,X5,X1,X0)|para(X4,X5,sk0_11(X0,X1),X1))),
% 3.01/0.81 inference(resolution,[status(thm)],[f388,f117])).
% 3.01/0.81 fof(f395,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~perp(X4,X5,sk0_11(X0,X1),X1)|para(X4,X5,X0,X1))),
% 3.01/0.81 inference(resolution,[status(thm)],[f389,f117])).
% 3.01/0.81 fof(f396,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(X0,X1,sk0_11(X0,X1),X1))),
% 3.01/0.81 inference(resolution,[status(thm)],[f389,f114])).
% 3.01/0.81 fof(f403,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(X0,X1,X1,sk0_11(X0,X1)))),
% 3.01/0.81 inference(resolution,[status(thm)],[f396,f112])).
% 3.01/0.81 fof(f440,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~perp(X4,X5,X1,X0)|para(sk0_11(X0,X1),X1,X4,X5))),
% 3.01/0.81 inference(resolution,[status(thm)],[f392,f107])).
% 3.01/0.81 fof(f443,plain,(
% 3.01/0.81 ![X0,X1]: (~perp(X0,X1,sk0_11(sk0_24,sk0_23),sk0_23)|para(X0,X1,sk0_24,sk0_23))),
% 3.01/0.81 inference(resolution,[status(thm)],[f395,f379])).
% 3.01/0.81 fof(f478,plain,(
% 3.01/0.81 spl0_7 <=> ~circle(sk0_24,sk0_23,X0,X1)),
% 3.01/0.81 introduced(split_symbol_definition)).
% 3.01/0.81 fof(f479,plain,(
% 3.01/0.81 ![X0,X1]: (~circle(sk0_24,sk0_23,X0,X1)|~spl0_7)),
% 3.01/0.81 inference(component_clause,[status(thm)],[f478])).
% 3.01/0.81 fof(f483,plain,(
% 3.01/0.81 spl0_8 <=> para(sk0_23,sk0_24,sk0_24,sk0_23)),
% 3.01/0.81 introduced(split_symbol_definition)).
% 3.01/0.81 fof(f484,plain,(
% 3.01/0.81 para(sk0_23,sk0_24,sk0_24,sk0_23)|~spl0_8),
% 3.01/0.81 inference(component_clause,[status(thm)],[f483])).
% 3.01/0.81 fof(f486,plain,(
% 3.01/0.81 ![X0,X1]: (para(sk0_23,sk0_24,sk0_24,sk0_23)|~circle(sk0_24,sk0_23,X0,X1))),
% 3.01/0.81 inference(resolution,[status(thm)],[f443,f388])).
% 3.01/0.81 fof(f487,plain,(
% 3.01/0.81 spl0_8|spl0_7),
% 3.01/0.81 inference(split_clause,[status(thm)],[f486,f483,f478])).
% 3.01/0.81 fof(f496,plain,(
% 3.01/0.81 $false|~spl0_7),
% 3.01/0.81 inference(backward_subsumption_resolution,[status(thm)],[f379,f479])).
% 3.01/0.81 fof(f497,plain,(
% 3.01/0.81 ~spl0_7),
% 3.01/0.81 inference(contradiction_clause,[status(thm)],[f496])).
% 3.01/0.81 fof(f501,plain,(
% 3.01/0.81 ![X0,X1]: (~perp(sk0_24,sk0_23,X0,X1)|perp(sk0_23,sk0_24,X0,X1)|~spl0_8)),
% 3.01/0.81 inference(resolution,[status(thm)],[f484,f120])).
% 3.01/0.81 fof(f524,plain,(
% 3.01/0.81 spl0_12 <=> perp(sk0_23,sk0_24,sk0_23,sk0_11(sk0_24,sk0_23))),
% 3.01/0.81 introduced(split_symbol_definition)).
% 3.01/0.81 fof(f525,plain,(
% 3.01/0.81 perp(sk0_23,sk0_24,sk0_23,sk0_11(sk0_24,sk0_23))|~spl0_12),
% 3.01/0.81 inference(component_clause,[status(thm)],[f524])).
% 3.01/0.81 fof(f527,plain,(
% 3.01/0.81 ![X0,X1]: (perp(sk0_23,sk0_24,sk0_23,sk0_11(sk0_24,sk0_23))|~circle(sk0_24,sk0_23,X0,X1)|~spl0_8)),
% 3.01/0.81 inference(resolution,[status(thm)],[f501,f403])).
% 3.01/0.81 fof(f528,plain,(
% 3.01/0.81 spl0_12|spl0_7|~spl0_8),
% 3.01/0.81 inference(split_clause,[status(thm)],[f527,f524,f478,f483])).
% 3.01/0.81 fof(f873,plain,(
% 3.01/0.81 perp(sk0_23,sk0_11(sk0_24,sk0_23),sk0_23,sk0_24)|~spl0_12),
% 3.01/0.81 inference(resolution,[status(thm)],[f525,f114])).
% 3.01/0.81 fof(f1125,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 3.01/0.81 inference(resolution,[status(thm)],[f140,f189])).
% 3.01/0.81 fof(f1131,plain,(
% 3.01/0.81 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|~para(X0,X1,X2,X3))),
% 3.01/0.81 inference(resolution,[status(thm)],[f144,f189])).
% 3.01/0.81 fof(f1367,plain,(
% 3.01/0.81 ![X0,X1]: (~perp(X0,X1,sk0_23,sk0_24)|para(sk0_11(sk0_24,sk0_23),sk0_23,X0,X1))),
% 3.01/0.81 inference(resolution,[status(thm)],[f440,f377])).
% 3.01/0.81 fof(f1606,plain,(
% 3.01/0.81 ![X0,X1]: (~perp(X0,X1,sk0_23,sk0_24)|para(sk0_11(sk0_24,sk0_23),sk0_23,X1,X0))),
% 3.01/0.81 inference(resolution,[status(thm)],[f1367,f105])).
% 3.01/0.81 fof(f1656,plain,(
% 3.01/0.81 spl0_96 <=> para(X2,X3,X2,X3)),
% 3.01/0.81 introduced(split_symbol_definition)).
% 3.01/0.81 fof(f1657,plain,(
% 3.01/0.81 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_96)),
% 3.01/0.81 inference(component_clause,[status(thm)],[f1656])).
% 3.01/0.81 fof(f1668,plain,(
% 3.01/0.81 spl0_97 <=> ~para(X0,X1,X0,X1)),
% 3.01/0.81 introduced(split_symbol_definition)).
% 3.01/0.81 fof(f1669,plain,(
% 3.01/0.81 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_97)),
% 3.01/0.81 inference(component_clause,[status(thm)],[f1668])).
% 3.01/0.81 fof(f1671,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 3.01/0.81 inference(resolution,[status(thm)],[f1125,f186])).
% 3.01/0.81 fof(f1672,plain,(
% 3.01/0.81 spl0_97|spl0_96),
% 3.01/0.81 inference(split_clause,[status(thm)],[f1671,f1668,f1656])).
% 3.01/0.81 fof(f2004,plain,(
% 3.01/0.81 ~perp(sk0_23,sk0_11(sk0_24,sk0_23),sk0_23,sk0_24)|~spl0_97),
% 3.01/0.81 inference(resolution,[status(thm)],[f1669,f1606])).
% 3.01/0.81 fof(f2005,plain,(
% 3.01/0.81 $false|~spl0_12|~spl0_97),
% 3.01/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2004,f873])).
% 3.01/0.81 fof(f2006,plain,(
% 3.01/0.81 ~spl0_12|~spl0_97),
% 3.01/0.81 inference(contradiction_clause,[status(thm)],[f2005])).
% 3.01/0.81 fof(f2343,plain,(
% 3.01/0.81 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1)|~para(X0,X2,X0,X2))),
% 3.01/0.81 inference(resolution,[status(thm)],[f193,f1131])).
% 3.01/0.81 fof(f2344,plain,(
% 3.01/0.81 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1)|~spl0_96)),
% 3.01/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2343,f1657])).
% 3.01/0.81 fof(f2386,plain,(
% 3.01/0.81 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1)|~para(X0,X2,X0,X2))),
% 3.01/0.81 inference(resolution,[status(thm)],[f195,f1131])).
% 3.01/0.81 fof(f2387,plain,(
% 3.01/0.81 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1)|~spl0_96)),
% 3.01/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2386,f1657])).
% 3.01/0.81 fof(f4043,plain,(
% 3.01/0.81 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_96)),
% 3.01/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2387,f2344])).
% 3.01/0.81 fof(f4074,plain,(
% 3.01/0.81 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_96)),
% 3.53/0.82 inference(resolution,[status(thm)],[f4043,f136])).
% 3.53/0.82 fof(f4075,plain,(
% 3.53/0.82 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_96)),
% 3.53/0.82 inference(forward_subsumption_resolution,[status(thm)],[f4074,f4043])).
% 3.53/0.82 fof(f4521,plain,(
% 3.53/0.82 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_96)),
% 3.53/0.82 inference(backward_subsumption_resolution,[status(thm)],[f235,f4075])).
% 3.53/0.82 fof(f4522,plain,(
% 3.53/0.82 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3)|~spl0_96)),
% 3.53/0.82 inference(backward_subsumption_resolution,[status(thm)],[f198,f4075])).
% 3.53/0.82 fof(f4523,plain,(
% 3.53/0.82 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X3,X4,X3,X5)|cong(X0,X1,X4,X5)|~spl0_96)),
% 3.53/0.82 inference(forward_subsumption_resolution,[status(thm)],[f4522,f4075])).
% 3.53/0.82 fof(f4549,plain,(
% 3.53/0.82 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_96)),
% 3.53/0.82 inference(backward_subsumption_resolution,[status(thm)],[f191,f4075])).
% 3.53/0.82 fof(f4596,plain,(
% 3.53/0.82 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_96)),
% 3.53/0.82 inference(forward_subsumption_resolution,[status(thm)],[f4523,f4075])).
% 3.53/0.82 fof(f5043,plain,(
% 3.53/0.82 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_96)),
% 3.53/0.82 inference(resolution,[status(thm)],[f4549,f4596])).
% 3.53/0.82 fof(f5713,plain,(
% 3.53/0.82 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_96)),
% 3.53/0.82 inference(resolution,[status(thm)],[f5043,f4521])).
% 3.53/0.82 fof(f5714,plain,(
% 3.53/0.82 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_96)),
% 3.53/0.82 inference(forward_subsumption_resolution,[status(thm)],[f5713,f5043])).
% 3.53/0.82 fof(f5786,plain,(
% 3.53/0.82 $false|~spl0_96),
% 3.53/0.82 inference(backward_subsumption_resolution,[status(thm)],[f380,f5714])).
% 3.53/0.82 fof(f5787,plain,(
% 3.53/0.82 ~spl0_96),
% 3.53/0.82 inference(contradiction_clause,[status(thm)],[f5786])).
% 3.53/0.82 fof(f5788,plain,(
% 3.53/0.82 $false),
% 3.53/0.82 inference(sat_refutation,[status(thm)],[f487,f497,f528,f1672,f2006,f5787])).
% 3.53/0.82 % SZS output end CNFRefutation for theBenchmark.p
% 3.53/0.82 % Elapsed time: 0.501819 seconds
% 3.53/0.82 % CPU time: 3.581932 seconds
% 3.53/0.82 % Memory used: 78.012 MB
%------------------------------------------------------------------------------