%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO614+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:26:43 PM UTC 2026
% Result : Theorem 3.96s 0.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO614+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 17:57:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 3.96/0.94 % Refutation found
% 3.96/0.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.96/0.94 % SZS output start CNFRefutation for theBenchmark
% 3.96/0.94 fof(f4,axiom,(
% 3.96/0.94 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f8,axiom,(
% 3.96/0.94 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f9,axiom,(
% 3.96/0.94 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f10,axiom,(
% 3.96/0.94 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f11,axiom,(
% 3.96/0.94 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f16,axiom,(
% 3.96/0.94 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f17,axiom,(
% 3.96/0.94 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f19,axiom,(
% 3.96/0.94 (! [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) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f21,axiom,(
% 3.96/0.94 (! [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) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f39,axiom,(
% 3.96/0.94 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f40,axiom,(
% 3.96/0.94 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f42,axiom,(
% 3.96/0.94 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f43,axiom,(
% 3.96/0.94 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f44,axiom,(
% 3.96/0.94 (! [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) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f57,axiom,(
% 3.96/0.94 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f64,axiom,(
% 3.96/0.94 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f87,axiom,(
% 3.96/0.94 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f95,conjecture,(
% 3.96/0.94 (! [A,B,C,O,G,E,K,H,N,NWPNT1] :( ( circle(O,A,B,C)& midp(G,C,B)& coll(E,O,G)& circle(O,A,E,NWPNT1)& perp(K,E,A,B)& coll(K,A,B)& perp(H,A,O,G)& coll(H,O,G)& circle(N,K,G,H) )=> perp(E,K,K,N) ) )),
% 3.96/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.96/0.94 fof(f96,negated_conjecture,(
% 3.96/0.94 ~((! [A,B,C,O,G,E,K,H,N,NWPNT1] :( ( circle(O,A,B,C)& midp(G,C,B)& coll(E,O,G)& circle(O,A,E,NWPNT1)& perp(K,E,A,B)& coll(K,A,B)& perp(H,A,O,G)& coll(H,O,G)& circle(N,K,G,H) )=> perp(E,K,K,N) ) ))),
% 3.96/0.94 inference(negated_conjecture,[status(cth)],[f95])).
% 3.96/0.94 fof(f104,plain,(
% 3.96/0.94 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 3.96/0.94 fof(f105,plain,(
% 3.96/0.94 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f104])).
% 3.96/0.94 fof(f113,plain,(
% 3.96/0.94 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 3.96/0.94 fof(f114,plain,(
% 3.96/0.94 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f113])).
% 3.96/0.94 fof(f115,plain,(
% 3.96/0.94 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 3.96/0.94 fof(f116,plain,(
% 3.96/0.94 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.96/0.94 inference(miniscoping,[status(thm)],[f115])).
% 3.96/0.94 fof(f117,plain,(
% 3.96/0.94 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f116])).
% 3.96/0.94 fof(f118,plain,(
% 3.96/0.94 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 3.96/0.94 fof(f119,plain,(
% 3.96/0.94 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 3.96/0.94 inference(miniscoping,[status(thm)],[f118])).
% 3.96/0.94 fof(f120,plain,(
% 3.96/0.94 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f119])).
% 3.96/0.94 fof(f121,plain,(
% 3.96/0.94 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 3.96/0.94 fof(f122,plain,(
% 3.96/0.94 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f121])).
% 3.96/0.94 fof(f132,plain,(
% 3.96/0.94 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 3.96/0.94 fof(f133,plain,(
% 3.96/0.94 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f132])).
% 3.96/0.94 fof(f134,plain,(
% 3.96/0.94 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 3.96/0.94 fof(f135,plain,(
% 3.96/0.94 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.96/0.94 inference(miniscoping,[status(thm)],[f134])).
% 3.96/0.94 fof(f136,plain,(
% 3.96/0.94 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f135])).
% 3.96/0.94 fof(f139,plain,(
% 3.96/0.94 ![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))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 3.96/0.94 fof(f140,plain,(
% 3.96/0.94 ![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))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f139])).
% 3.96/0.94 fof(f143,plain,(
% 3.96/0.94 ![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))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 3.96/0.94 fof(f144,plain,(
% 3.96/0.94 ![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))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f143])).
% 3.96/0.94 fof(f184,plain,(
% 3.96/0.94 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 3.96/0.94 fof(f185,plain,(
% 3.96/0.94 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.96/0.94 inference(miniscoping,[status(thm)],[f184])).
% 3.96/0.94 fof(f186,plain,(
% 3.96/0.94 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f185])).
% 3.96/0.94 fof(f187,plain,(
% 3.96/0.94 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 3.96/0.94 fof(f188,plain,(
% 3.96/0.94 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.96/0.94 inference(miniscoping,[status(thm)],[f187])).
% 3.96/0.94 fof(f189,plain,(
% 3.96/0.94 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f188])).
% 3.96/0.94 fof(f192,plain,(
% 3.96/0.94 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 3.96/0.94 fof(f193,plain,(
% 3.96/0.94 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f192])).
% 3.96/0.94 fof(f194,plain,(
% 3.96/0.94 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 3.96/0.94 fof(f195,plain,(
% 3.96/0.94 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f194])).
% 3.96/0.94 fof(f196,plain,(
% 3.96/0.94 ![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))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 3.96/0.94 fof(f197,plain,(
% 3.96/0.94 ![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))),
% 3.96/0.94 inference(miniscoping,[status(thm)],[f196])).
% 3.96/0.94 fof(f198,plain,(
% 3.96/0.94 ![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))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f197])).
% 3.96/0.94 fof(f231,plain,(
% 3.96/0.94 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 3.96/0.94 fof(f232,plain,(
% 3.96/0.94 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f231])).
% 3.96/0.94 fof(f247,plain,(
% 3.96/0.94 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 3.96/0.94 fof(f248,plain,(
% 3.96/0.94 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 3.96/0.94 inference(miniscoping,[status(thm)],[f247])).
% 3.96/0.94 fof(f249,plain,(
% 3.96/0.94 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f248])).
% 3.96/0.94 fof(f331,plain,(
% 3.96/0.94 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 3.96/0.94 fof(f332,plain,(
% 3.96/0.94 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 3.96/0.94 inference(miniscoping,[status(thm)],[f331])).
% 3.96/0.94 fof(f333,plain,(
% 3.96/0.94 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 3.96/0.94 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 3.96/0.94 fof(f334,plain,(
% 3.96/0.94 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f333])).
% 3.96/0.94 fof(f369,plain,(
% 3.96/0.94 (?[A,B,C,O,G,E,K,H,N,NWPNT1]: (((((((((circle(O,A,B,C)&midp(G,C,B))&coll(E,O,G))&circle(O,A,E,NWPNT1))&perp(K,E,A,B))&coll(K,A,B))&perp(H,A,O,G))&coll(H,O,G))&circle(N,K,G,H))&~perp(E,K,K,N)))),
% 3.96/0.94 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 3.96/0.94 fof(f370,plain,(
% 3.96/0.94 ?[E,K,N]: ((?[G,H]: ((?[O]: ((?[A]: ((?[B]: (((((?[C]: (circle(O,A,B,C)&midp(G,C,B)))&coll(E,O,G))&(?[NWPNT1]: circle(O,A,E,NWPNT1)))&perp(K,E,A,B))&coll(K,A,B)))&perp(H,A,O,G)))&coll(H,O,G)))&circle(N,K,G,H)))&~perp(E,K,K,N))),
% 3.96/0.94 inference(miniscoping,[status(thm)],[f369])).
% 3.96/0.94 fof(f371,plain,(
% 3.96/0.94 (((((((((circle(sK25_skl,sK26_skl,sK27_skl,sK28_skl)&midp(sK23_skl,sK28_skl,sK27_skl))&coll(sK20_skl,sK25_skl,sK23_skl))&circle(sK25_skl,sK26_skl,sK20_skl,sK29_skl))&perp(sK21_skl,sK20_skl,sK26_skl,sK27_skl))&coll(sK21_skl,sK26_skl,sK27_skl))&perp(sK24_skl,sK26_skl,sK25_skl,sK23_skl))&coll(sK24_skl,sK25_skl,sK23_skl))&circle(sK22_skl,sK21_skl,sK23_skl,sK24_skl))&~perp(sK20_skl,sK21_skl,sK21_skl,sK22_skl))),
% 3.96/0.94 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl]),skolemize(E,sK20_skl),skolemize(K,sK21_skl),skolemize(N,sK22_skl),skolemize(G,sK23_skl),skolemize(H,sK24_skl),skolemize(O,sK25_skl),skolemize(A,sK26_skl),skolemize(B,sK27_skl),skolemize(C,sK28_skl),skolemize(NWPNT1,sK29_skl)],[f370])).
% 3.96/0.94 fof(f373,plain,(
% 3.96/0.94 midp(sK23_skl,sK28_skl,sK27_skl)),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f371])).
% 3.96/0.94 fof(f380,plain,(
% 3.96/0.94 circle(sK22_skl,sK21_skl,sK23_skl,sK24_skl)),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f371])).
% 3.96/0.94 fof(f381,plain,(
% 3.96/0.94 ~perp(sK20_skl,sK21_skl,sK21_skl,sK22_skl)),
% 3.96/0.94 inference(cnf_transformation,[status(thm)],[f371])).
% 3.96/0.94 fof(f436,plain,(
% 3.96/0.94 midp(sK23_skl,sK27_skl,sK28_skl)),
% 3.96/0.94 inference(resolution,[status(thm)],[f122,f373])).
% 3.96/0.94 fof(f536,plain,(
% 3.96/0.94 perp(sK11_skl(sK22_skl,sK21_skl),sK21_skl,sK21_skl,sK22_skl)),
% 3.96/0.94 inference(resolution,[status(thm)],[f334,f380])).
% 3.96/0.94 fof(f639,plain,(
% 3.96/0.94 ![X0,X1]: (~midp(sK23_skl,X0,X1)|para(X0,sK27_skl,X1,sK28_skl))),
% 3.96/0.94 inference(resolution,[status(thm)],[f249,f436])).
% 3.96/0.94 fof(f642,plain,(
% 3.96/0.94 para(sK28_skl,sK27_skl,sK27_skl,sK28_skl)),
% 3.96/0.94 inference(resolution,[status(thm)],[f639,f373])).
% 3.96/0.94 fof(f666,plain,(
% 3.96/0.94 para(sK28_skl,sK27_skl,sK28_skl,sK27_skl)),
% 3.96/0.94 inference(resolution,[status(thm)],[f642,f105])).
% 3.96/0.94 fof(f675,plain,(
% 3.96/0.94 ![X0,X1]: (eqangle(sK28_skl,sK27_skl,X0,X1,sK28_skl,sK27_skl,X0,X1))),
% 3.96/0.94 inference(resolution,[status(thm)],[f666,f189])).
% 3.96/0.94 fof(f728,plain,(
% 3.96/0.94 ![X0,X1]: (eqangle(X0,X1,sK28_skl,sK27_skl,X0,X1,sK28_skl,sK27_skl))),
% 3.96/0.94 inference(resolution,[status(thm)],[f675,f140])).
% 3.96/0.94 fof(f755,plain,(
% 3.96/0.94 ![X0,X1]: (para(X0,X1,X0,X1))),
% 3.96/0.96 inference(resolution,[status(thm)],[f728,f186])).
% 3.96/0.96 fof(f756,plain,(
% 3.96/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 3.96/0.96 inference(resolution,[status(thm)],[f755,f189])).
% 3.96/0.96 fof(f825,plain,(
% 3.96/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 3.96/0.96 inference(resolution,[status(thm)],[f756,f144])).
% 3.96/0.96 fof(f1221,plain,(
% 3.96/0.96 ![X0,X1]: (~para(X0,X1,sK11_skl(sK22_skl,sK21_skl),sK21_skl)|perp(X0,X1,sK21_skl,sK22_skl))),
% 3.96/0.96 inference(resolution,[status(thm)],[f536,f120])).
% 3.96/0.96 fof(f1704,plain,(
% 3.96/0.96 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 3.96/0.96 inference(resolution,[status(thm)],[f193,f825])).
% 3.96/0.96 fof(f1706,plain,(
% 3.96/0.96 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X1,X2,X0,X0))),
% 3.96/0.96 inference(resolution,[status(thm)],[f193,f756])).
% 3.96/0.96 fof(f1784,plain,(
% 3.96/0.96 ![X0,X1,X2]: (coll(X0,X0,X1)|cyclic(X2,X1,X0,X0))),
% 3.96/0.96 inference(resolution,[status(thm)],[f1706,f133])).
% 3.96/0.96 fof(f1906,plain,(
% 3.96/0.96 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 3.96/0.96 inference(resolution,[status(thm)],[f195,f825])).
% 3.96/0.96 fof(f1908,plain,(
% 3.96/0.96 ![X0,X1,X2]: (~coll(X0,X0,X1)|cyclic(X2,X1,X0,X0))),
% 3.96/0.96 inference(resolution,[status(thm)],[f195,f756])).
% 3.96/0.96 fof(f1924,plain,(
% 3.96/0.96 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 3.96/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1906,f1704])).
% 3.96/0.96 fof(f1926,plain,(
% 3.96/0.96 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2))),
% 3.96/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1908,f1784])).
% 3.96/0.96 fof(f1950,plain,(
% 3.96/0.96 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|~cyclic(X0,X1,X2,X2)|cong(X0,X1,X0,X1))),
% 3.96/0.96 inference(resolution,[status(thm)],[f198,f756])).
% 3.96/0.96 fof(f2055,plain,(
% 3.96/0.96 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|cong(X0,X1,X0,X1))),
% 3.96/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1950,f1926])).
% 3.96/0.96 fof(f2072,plain,(
% 3.96/0.96 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 3.96/0.96 inference(resolution,[status(thm)],[f1924,f136])).
% 3.96/0.96 fof(f2079,plain,(
% 3.96/0.96 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|cong(X0,X1,X0,X1))),
% 3.96/0.96 inference(backward_subsumption_resolution,[status(thm)],[f2055,f2086])).
% 3.96/0.96 fof(f2086,plain,(
% 3.96/0.96 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 3.96/0.96 inference(forward_subsumption_resolution,[status(thm)],[f2072,f1924])).
% 3.96/0.96 fof(f2092,plain,(
% 3.96/0.96 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 3.96/0.96 inference(forward_subsumption_resolution,[status(thm)],[f2079,f2086])).
% 3.96/0.96 fof(f2109,plain,(
% 3.96/0.96 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 3.96/0.96 inference(resolution,[status(thm)],[f2092,f232])).
% 3.96/0.96 fof(f2116,plain,(
% 3.96/0.96 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 3.96/0.96 inference(forward_subsumption_resolution,[status(thm)],[f2109,f2092])).
% 3.96/0.96 fof(f2125,plain,(
% 3.96/0.96 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 3.96/0.96 inference(resolution,[status(thm)],[f2116,f117])).
% 3.96/0.96 fof(f2128,plain,(
% 3.96/0.96 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 3.96/0.96 inference(resolution,[status(thm)],[f2116,f114])).
% 3.96/0.96 fof(f2130,plain,(
% 3.96/0.96 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 3.96/0.96 inference(backward_subsumption_resolution,[status(thm)],[f2125,f2128])).
% 3.96/0.96 fof(f2137,plain,(
% 3.96/0.96 ![X0,X1]: (perp(X0,X1,sK21_skl,sK22_skl))),
% 3.96/0.96 inference(backward_subsumption_resolution,[status(thm)],[f1221,f2130])).
% 3.96/0.96 fof(f2153,plain,(
% 3.96/0.96 $false),
% 3.96/0.96 inference(backward_subsumption_resolution,[status(thm)],[f381,f2137])).
% 3.96/0.96 % SZS output end CNFRefutation for theBenchmark.p
% 3.96/0.97 % Elapsed time: 0.592840 seconds
% 3.96/0.97 % CPU time: 4.394555 seconds
% 3.96/0.97 % Total memory used: 127.670 MB
% 3.96/0.97 % Net memory used: 123.462 MB
%------------------------------------------------------------------------------