%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO598+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 : n026.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 12:26:42 PM UTC 2026
% Result : Theorem 8.71s 1.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO598+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
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 17:47:08 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 8.71/1.56 % Refutation found
% 8.71/1.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.71/1.56 % SZS output start CNFRefutation for theBenchmark
% 8.71/1.56 fof(f1,axiom,(
% 8.71/1.56 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f2,axiom,(
% 8.71/1.56 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f3,axiom,(
% 8.71/1.56 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f8,axiom,(
% 8.71/1.56 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f9,axiom,(
% 8.71/1.56 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f11,axiom,(
% 8.71/1.56 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f12,axiom,(
% 8.71/1.56 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f14,axiom,(
% 8.71/1.56 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f15,axiom,(
% 8.71/1.56 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f17,axiom,(
% 8.71/1.56 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f22,axiom,(
% 8.71/1.56 (! [A,B,C,D,P,Q,U,V,E,F,G,H] :( ( eqangle(A,B,C,D,P,Q,U,V)& eqangle(P,Q,U,V,E,F,G,H) )=> eqangle(A,B,C,D,E,F,G,H) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f40,axiom,(
% 8.71/1.56 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f43,axiom,(
% 8.71/1.56 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f44,axiom,(
% 8.71/1.56 (! [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) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f46,axiom,(
% 8.71/1.56 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f47,axiom,(
% 8.71/1.56 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f51,axiom,(
% 8.71/1.56 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& midp(M,B,C) )=> eqangle(A,B,A,C,O,B,O,M) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f53,axiom,(
% 8.71/1.56 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f55,axiom,(
% 8.71/1.56 (! [A,B,C,D] :( ( cyclic(A,B,C,D)& para(A,B,C,D) )=> eqangle(A,D,C,D,C,D,C,B) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f56,axiom,(
% 8.71/1.56 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f57,axiom,(
% 8.71/1.56 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f58,axiom,(
% 8.71/1.56 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f64,axiom,(
% 8.71/1.56 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f65,axiom,(
% 8.71/1.56 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f68,axiom,(
% 8.71/1.56 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f70,axiom,(
% 8.71/1.56 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f83,axiom,(
% 8.71/1.56 (! [A,B,C,D,M,N,Q] :(? [P] :( ( midp(M,A,B)& midp(N,C,D)& coll(C,A,B)& coll(D,A,B) )=> midp(P,A,Q) ) ))),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f95,conjecture,(
% 8.71/1.56 (! [A,B,C,D,E,F,G,H,I,NWPNT1] :( ( circle(D,A,B,C)& midp(E,C,B)& midp(F,A,C)& midp(G,B,A)& coll(H,D,G)& circle(D,A,H,NWPNT1)& perp(I,H,A,C)& coll(I,A,C) )=> eqangle(F,G,G,I,I,G,G,E) ) )),
% 8.71/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.71/1.56 fof(f96,negated_conjecture,(
% 8.71/1.56 ~((! [A,B,C,D,E,F,G,H,I,NWPNT1] :( ( circle(D,A,B,C)& midp(E,C,B)& midp(F,A,C)& midp(G,B,A)& coll(H,D,G)& circle(D,A,H,NWPNT1)& perp(I,H,A,C)& coll(I,A,C) )=> eqangle(F,G,G,I,I,G,G,E) ) ))),
% 8.71/1.56 inference(negated_conjecture,[status(cth)],[f95])).
% 8.71/1.56 fof(f97,plain,(
% 8.71/1.56 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 8.71/1.56 fof(f98,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f97])).
% 8.71/1.56 fof(f99,plain,(
% 8.71/1.56 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 8.71/1.56 fof(f100,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f99])).
% 8.71/1.56 fof(f101,plain,(
% 8.71/1.56 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 8.71/1.56 fof(f102,plain,(
% 8.71/1.56 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f101])).
% 8.71/1.56 fof(f103,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f102])).
% 8.71/1.56 fof(f113,plain,(
% 8.71/1.56 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 8.71/1.56 fof(f114,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f113])).
% 8.71/1.56 fof(f115,plain,(
% 8.71/1.56 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 8.71/1.56 fof(f116,plain,(
% 8.71/1.56 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f115])).
% 8.71/1.56 fof(f117,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f116])).
% 8.71/1.56 fof(f121,plain,(
% 8.71/1.56 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 8.71/1.56 fof(f122,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f121])).
% 8.71/1.56 fof(f123,plain,(
% 8.71/1.56 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 8.71/1.56 fof(f124,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f123])).
% 8.71/1.56 fof(f128,plain,(
% 8.71/1.56 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 8.71/1.56 fof(f129,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f128])).
% 8.71/1.56 fof(f130,plain,(
% 8.71/1.56 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 8.71/1.56 fof(f131,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f130])).
% 8.71/1.56 fof(f134,plain,(
% 8.71/1.56 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 8.71/1.56 fof(f135,plain,(
% 8.71/1.56 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f134])).
% 8.71/1.56 fof(f136,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f135])).
% 8.71/1.56 fof(f145,plain,(
% 8.71/1.56 ![A,B,C,D,P,Q,U,V,E,F,G,H]: ((~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H))|eqangle(A,B,C,D,E,F,G,H))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 8.71/1.56 fof(f146,plain,(
% 8.71/1.56 ![A,B,C,D,E,F,G,H]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H)))|eqangle(A,B,C,D,E,F,G,H))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f145])).
% 8.71/1.56 fof(f147,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X4,X5,X6,X7,X8,X9,X10,X11)|eqangle(X0,X1,X2,X3,X8,X9,X10,X11))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f146])).
% 8.71/1.56 fof(f187,plain,(
% 8.71/1.56 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 8.71/1.56 fof(f188,plain,(
% 8.71/1.56 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f187])).
% 8.71/1.56 fof(f189,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f188])).
% 8.71/1.56 fof(f194,plain,(
% 8.71/1.56 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 8.71/1.56 fof(f195,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f194])).
% 8.71/1.56 fof(f196,plain,(
% 8.71/1.56 ![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))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 8.71/1.56 fof(f197,plain,(
% 8.71/1.56 ![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))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f196])).
% 8.71/1.56 fof(f198,plain,(
% 8.71/1.56 ![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))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f197])).
% 8.71/1.56 fof(f202,plain,(
% 8.71/1.56 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 8.71/1.56 fof(f203,plain,(
% 8.71/1.56 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f202])).
% 8.71/1.56 fof(f204,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f203])).
% 8.71/1.56 fof(f205,plain,(
% 8.71/1.56 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 8.71/1.56 fof(f206,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f205])).
% 8.71/1.56 fof(f215,plain,(
% 8.71/1.56 ![A,B,C,O,M]: ((~circle(O,A,B,C)|~midp(M,B,C))|eqangle(A,B,A,C,O,B,O,M))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 8.71/1.56 fof(f216,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~midp(X4,X2,X3)|eqangle(X1,X2,X1,X3,X0,X2,X0,X4))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f215])).
% 8.71/1.56 fof(f220,plain,(
% 8.71/1.56 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 8.71/1.56 fof(f221,plain,(
% 8.71/1.56 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f220])).
% 8.71/1.56 fof(f222,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f221])).
% 8.71/1.56 fof(f226,plain,(
% 8.71/1.56 ![A,B,C,D]: ((~cyclic(A,B,C,D)|~para(A,B,C,D))|eqangle(A,D,C,D,C,D,C,B))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 8.71/1.56 fof(f227,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|~para(X0,X1,X2,X3)|eqangle(X0,X3,X2,X3,X2,X3,X2,X1))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f226])).
% 8.71/1.56 fof(f228,plain,(
% 8.71/1.56 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 8.71/1.56 fof(f229,plain,(
% 8.71/1.56 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f228])).
% 8.71/1.56 fof(f230,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f229])).
% 8.71/1.56 fof(f231,plain,(
% 8.71/1.56 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 8.71/1.56 fof(f232,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f231])).
% 8.71/1.56 fof(f233,plain,(
% 8.71/1.56 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 8.71/1.56 fof(f234,plain,(
% 8.71/1.56 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f233])).
% 8.71/1.56 fof(f235,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f234])).
% 8.71/1.56 fof(f247,plain,(
% 8.71/1.56 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 8.71/1.56 fof(f248,plain,(
% 8.71/1.56 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f247])).
% 8.71/1.56 fof(f249,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f248])).
% 8.71/1.56 fof(f250,plain,(
% 8.71/1.56 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 8.71/1.56 fof(f251,plain,(
% 8.71/1.56 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f250])).
% 8.71/1.56 fof(f252,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f251])).
% 8.71/1.56 fof(f257,plain,(
% 8.71/1.56 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 8.71/1.56 fof(f258,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f257])).
% 8.71/1.56 fof(f261,plain,(
% 8.71/1.56 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 8.71/1.56 fof(f262,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f261])).
% 8.71/1.56 fof(f309,plain,(
% 8.71/1.56 ![A,B,C,D,M,N,Q]: (?[P]: ((((~midp(M,A,B)|~midp(N,C,D))|~coll(C,A,B))|~coll(D,A,B))|midp(P,A,Q)))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 8.71/1.56 fof(f310,plain,(
% 8.71/1.56 ![A]: ((![B,D]: ((![C]: (((![M]: ~midp(M,A,B))|(![N]: ~midp(N,C,D)))|~coll(C,A,B)))|~coll(D,A,B)))|(![Q]: ?[P]: midp(P,A,Q)))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f309])).
% 8.71/1.56 fof(f311,plain,(
% 8.71/1.56 ![A]: ((![B,D]: ((![C]: (((![M]: ~midp(M,A,B))|(![N]: ~midp(N,C,D)))|~coll(C,A,B)))|~coll(D,A,B)))|(![Q]: midp(sK6_skl(Q,A),A,Q)))),
% 8.71/1.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 8.71/1.56 fof(f312,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|~coll(X4,X1,X2)|~coll(X5,X1,X2)|midp(sK6_skl(X6,X1),X1,X6))),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f311])).
% 8.71/1.56 fof(f369,plain,(
% 8.71/1.56 (?[A,B,C,D,E,F,G,H,I,NWPNT1]: ((((((((circle(D,A,B,C)&midp(E,C,B))&midp(F,A,C))&midp(G,B,A))&coll(H,D,G))&circle(D,A,H,NWPNT1))&perp(I,H,A,C))&coll(I,A,C))&~eqangle(F,G,G,I,I,G,G,E)))),
% 8.71/1.56 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 8.71/1.56 fof(f370,plain,(
% 8.71/1.56 ?[E,F,G,I]: ((?[A,C]: ((?[H]: ((?[D]: (((?[B]: (((circle(D,A,B,C)&midp(E,C,B))&midp(F,A,C))&midp(G,B,A)))&coll(H,D,G))&(?[NWPNT1]: circle(D,A,H,NWPNT1))))&perp(I,H,A,C)))&coll(I,A,C)))&~eqangle(F,G,G,I,I,G,G,E))),
% 8.71/1.56 inference(miniscoping,[status(thm)],[f369])).
% 8.71/1.56 fof(f371,plain,(
% 8.71/1.56 ((((((((circle(sK27_skl,sK24_skl,sK28_skl,sK25_skl)&midp(sK20_skl,sK25_skl,sK28_skl))&midp(sK21_skl,sK24_skl,sK25_skl))&midp(sK22_skl,sK28_skl,sK24_skl))&coll(sK26_skl,sK27_skl,sK22_skl))&circle(sK27_skl,sK24_skl,sK26_skl,sK29_skl))&perp(sK23_skl,sK26_skl,sK24_skl,sK25_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~eqangle(sK21_skl,sK22_skl,sK22_skl,sK23_skl,sK23_skl,sK22_skl,sK22_skl,sK20_skl))),
% 8.71/1.56 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(F,sK21_skl),skolemize(G,sK22_skl),skolemize(I,sK23_skl),skolemize(A,sK24_skl),skolemize(C,sK25_skl),skolemize(H,sK26_skl),skolemize(D,sK27_skl),skolemize(B,sK28_skl),skolemize(NWPNT1,sK29_skl)],[f370])).
% 8.71/1.56 fof(f373,plain,(
% 8.71/1.56 midp(sK20_skl,sK25_skl,sK28_skl)),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f371])).
% 8.71/1.56 fof(f375,plain,(
% 8.71/1.56 midp(sK22_skl,sK28_skl,sK24_skl)),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f371])).
% 8.71/1.56 fof(f380,plain,(
% 8.71/1.56 ~eqangle(sK21_skl,sK22_skl,sK22_skl,sK23_skl,sK23_skl,sK22_skl,sK22_skl,sK20_skl)),
% 8.71/1.56 inference(cnf_transformation,[status(thm)],[f371])).
% 8.71/1.56 fof(f475,plain,(
% 8.71/1.56 midp(sK22_skl,sK24_skl,sK28_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f122,f375])).
% 8.71/1.56 fof(f477,plain,(
% 8.71/1.56 midp(sK20_skl,sK28_skl,sK25_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f122,f373])).
% 8.71/1.56 fof(f749,plain,(
% 8.71/1.56 coll(sK22_skl,sK24_skl,sK28_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f262,f475])).
% 8.71/1.56 fof(f750,plain,(
% 8.71/1.56 coll(sK22_skl,sK28_skl,sK24_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f262,f375])).
% 8.71/1.56 fof(f753,plain,(
% 8.71/1.56 coll(sK20_skl,sK28_skl,sK25_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f262,f477])).
% 8.71/1.56 fof(f754,plain,(
% 8.71/1.56 coll(sK20_skl,sK25_skl,sK28_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f262,f373])).
% 8.71/1.56 fof(f759,plain,(
% 8.71/1.56 coll(sK24_skl,sK22_skl,sK28_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f749,f100])).
% 8.71/1.56 fof(f765,plain,(
% 8.71/1.56 coll(sK28_skl,sK22_skl,sK24_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f750,f100])).
% 8.71/1.56 fof(f787,plain,(
% 8.71/1.56 coll(sK28_skl,sK20_skl,sK25_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f753,f100])).
% 8.71/1.56 fof(f793,plain,(
% 8.71/1.56 coll(sK25_skl,sK20_skl,sK28_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f754,f100])).
% 8.71/1.56 fof(f801,plain,(
% 8.71/1.56 coll(sK28_skl,sK28_skl,sK24_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f759,f103])).
% 8.71/1.56 fof(f814,plain,(
% 8.71/1.56 coll(sK24_skl,sK24_skl,sK28_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f765,f103])).
% 8.71/1.56 fof(f850,plain,(
% 8.71/1.56 coll(sK25_skl,sK25_skl,sK28_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f787,f103])).
% 8.71/1.56 fof(f863,plain,(
% 8.71/1.56 coll(sK28_skl,sK28_skl,sK25_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f793,f103])).
% 8.71/1.56 fof(f922,plain,(
% 8.71/1.56 coll(sK24_skl,sK28_skl,sK24_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f814,f98])).
% 8.71/1.56 fof(f1123,plain,(
% 8.71/1.56 coll(sK28_skl,sK25_skl,sK28_skl)),
% 8.71/1.56 inference(resolution,[status(thm)],[f863,f98])).
% 8.71/1.56 fof(f1242,plain,(
% 8.71/1.56 ![X0,X1]: (~para(sK28_skl,X0,sK24_skl,X1)|~para(sK28_skl,X1,sK24_skl,X0)|midp(sK22_skl,X0,X1))),
% 8.71/1.56 inference(resolution,[status(thm)],[f252,f375])).
% 8.71/1.56 fof(f2348,plain,(
% 8.71/1.56 ![X0]: (~coll(sK28_skl,sK28_skl,sK24_skl)|~coll(sK24_skl,sK28_skl,sK24_skl)|midp(sK6_skl(X0,sK28_skl),sK28_skl,X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f312,f375])).
% 8.71/1.56 fof(f2356,plain,(
% 8.71/1.56 ![X0]: (~coll(sK25_skl,sK25_skl,sK28_skl)|~coll(sK28_skl,sK25_skl,sK28_skl)|midp(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f312,f373])).
% 8.71/1.56 fof(f2752,plain,(
% 8.71/1.56 ![X0]: (~coll(sK24_skl,sK28_skl,sK24_skl)|midp(sK6_skl(X0,sK28_skl),sK28_skl,X0))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f2348,f801])).
% 8.71/1.56 fof(f2756,plain,(
% 8.71/1.56 ![X0]: (~coll(sK28_skl,sK25_skl,sK28_skl)|midp(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f2356,f850])).
% 8.71/1.56 fof(f7697,plain,(
% 8.71/1.56 ![X0]: (midp(sK6_skl(X0,sK28_skl),sK28_skl,X0))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f2752,f922])).
% 8.71/1.56 fof(f7760,plain,(
% 8.71/1.56 ![X0]: (coll(sK6_skl(X0,sK28_skl),sK28_skl,X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f7697,f262])).
% 8.71/1.56 fof(f7962,plain,(
% 8.71/1.56 ![X0]: (midp(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f2756,f1123])).
% 8.71/1.56 fof(f8027,plain,(
% 8.71/1.56 ![X0]: (midp(sK6_skl(X0,sK25_skl),X0,sK25_skl))),
% 8.71/1.56 inference(resolution,[status(thm)],[f7962,f122])).
% 8.71/1.56 fof(f9606,plain,(
% 8.71/1.56 ![X0]: (coll(sK28_skl,sK6_skl(X0,sK28_skl),X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f7760,f100])).
% 8.71/1.56 fof(f11586,plain,(
% 8.71/1.56 ![X0]: (coll(X0,X0,sK28_skl))),
% 8.71/1.56 inference(resolution,[status(thm)],[f9606,f103])).
% 8.71/1.56 fof(f11628,plain,(
% 8.71/1.56 ![X0]: (coll(sK28_skl,sK28_skl,X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f11586,f103])).
% 8.71/1.56 fof(f11884,plain,(
% 8.71/1.56 ![X0,X1]: (~coll(sK28_skl,sK28_skl,X0)|coll(X0,X1,sK28_skl))),
% 8.71/1.56 inference(resolution,[status(thm)],[f11628,f103])).
% 8.71/1.56 fof(f11894,plain,(
% 8.71/1.56 ![X0,X1]: (coll(X0,X1,sK28_skl))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f11884,f11628])).
% 8.71/1.56 fof(f11945,plain,(
% 8.71/1.56 ![X0,X1]: (coll(X0,sK28_skl,X1))),
% 8.71/1.56 inference(resolution,[status(thm)],[f11894,f98])).
% 8.71/1.56 fof(f12024,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~coll(X0,sK28_skl,X1)|coll(X1,X2,X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f11945,f103])).
% 8.71/1.56 fof(f12042,plain,(
% 8.71/1.56 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f12024,f11945])).
% 8.71/1.56 fof(f12108,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 8.71/1.56 inference(backward_subsumption_resolution,[status(thm)],[f195,f12042])).
% 8.71/1.56 fof(f12109,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 8.71/1.56 inference(backward_subsumption_resolution,[status(thm)],[f258,f12042])).
% 8.71/1.56 fof(f12117,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|~coll(X4,X1,X2)|midp(sK6_skl(X6,X1),X1,X6))),
% 8.71/1.56 inference(backward_subsumption_resolution,[status(thm)],[f312,f12042])).
% 8.71/1.56 fof(f12119,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 8.71/1.56 inference(backward_subsumption_resolution,[status(thm)],[f204,f12042])).
% 8.71/1.56 fof(f12123,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|midp(sK6_skl(X6,X1),X1,X6))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f12117,f12042])).
% 8.71/1.56 fof(f12172,plain,(
% 8.71/1.56 ![X0,X1]: (midp(sK6_skl(X0,X1),X1,X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f12123,f8027])).
% 8.71/1.56 fof(f12424,plain,(
% 8.71/1.56 ![X0,X1]: (para(X0,X0,X1,X1))),
% 8.71/1.56 inference(resolution,[status(thm)],[f12172,f249])).
% 8.71/1.56 fof(f12450,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (eqangle(X0,X0,X1,X2,X3,X3,X1,X2))),
% 8.71/1.56 inference(resolution,[status(thm)],[f12424,f189])).
% 8.71/1.56 fof(f12786,plain,(
% 8.71/1.56 ![X0,X1]: (cyclic(X0,X1,X0,X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f12450,f12108])).
% 8.71/1.56 fof(f12810,plain,(
% 8.71/1.56 ![X0,X1]: (cyclic(X0,X0,X1,X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f12786,f131])).
% 8.71/1.56 fof(f12833,plain,(
% 8.71/1.56 ![X0,X1]: (cyclic(X0,X0,X0,X1))),
% 8.71/1.56 inference(resolution,[status(thm)],[f12810,f129])).
% 8.71/1.56 fof(f12838,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~cyclic(X0,X0,X0,X1)|cyclic(X0,X0,X1,X2))),
% 8.71/1.56 inference(resolution,[status(thm)],[f12833,f136])).
% 8.71/1.56 fof(f12844,plain,(
% 8.71/1.56 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f12838,f12833])).
% 8.71/1.56 fof(f12861,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 8.71/1.56 inference(resolution,[status(thm)],[f12844,f136])).
% 8.71/1.56 fof(f12867,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f12861,f12844])).
% 8.71/1.56 fof(f12894,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|eqangle(X0,X3,X2,X3,X2,X3,X2,X1))),
% 8.71/1.56 inference(backward_subsumption_resolution,[status(thm)],[f227,f12867])).
% 8.71/1.56 fof(f12895,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 8.71/1.56 inference(backward_subsumption_resolution,[status(thm)],[f198,f12867])).
% 8.71/1.56 fof(f12897,plain,(
% 8.71/1.56 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 8.71/1.56 inference(backward_subsumption_resolution,[status(thm)],[f235,f12867])).
% 8.71/1.56 fof(f12899,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f12895,f12867])).
% 8.71/1.56 fof(f13026,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f12899,f12867])).
% 8.71/1.56 fof(f13027,plain,(
% 8.71/1.56 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 8.71/1.56 inference(resolution,[status(thm)],[f13026,f12450])).
% 8.71/1.56 fof(f13050,plain,(
% 8.71/1.56 ![X0,X1]: (midp(X0,X1,X1))),
% 8.71/1.56 inference(resolution,[status(thm)],[f13027,f12109])).
% 8.71/1.56 fof(f13064,plain,(
% 8.71/1.56 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 8.71/1.56 inference(resolution,[status(thm)],[f13027,f232])).
% 8.71/1.56 fof(f13078,plain,(
% 8.71/1.56 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 8.71/1.56 inference(forward_subsumption_resolution,[status(thm)],[f13064,f13027])).
% 8.71/1.56 fof(f13217,plain,(
% 8.71/1.56 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 8.71/1.56 inference(resolution,[status(thm)],[f13078,f114])).
% 8.71/1.56 fof(f13231,plain,(
% 8.71/1.56 ![X0,X1]: (perp(X0,X1,X1,X0))),
% 8.71/1.56 inference(resolution,[status(thm)],[f12897,f13027])).
% 8.71/1.56 fof(f13339,plain,(
% 8.71/1.56 ![X0,X1,X2,X3,X4]: (~perp(X0,X0,X1,X2)|para(X3,X4,X1,X2))),
% 8.71/1.57 inference(resolution,[status(thm)],[f13217,f117])).
% 8.71/1.57 fof(f13342,plain,(
% 8.71/1.57 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 8.71/1.57 inference(forward_subsumption_resolution,[status(thm)],[f13339,f13078])).
% 8.71/1.57 fof(f13383,plain,(
% 8.71/1.57 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0))),
% 8.71/1.57 inference(resolution,[status(thm)],[f13231,f222])).
% 8.71/1.57 fof(f13394,plain,(
% 8.71/1.57 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 8.71/1.57 inference(forward_subsumption_resolution,[status(thm)],[f13383,f13050])).
% 8.71/1.57 fof(f13493,plain,(
% 8.71/1.57 ![X0,X1]: (~para(sK28_skl,X0,sK24_skl,X1)|midp(sK22_skl,X0,X1))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f1242,f13342])).
% 8.71/1.57 fof(f13495,plain,(
% 8.71/1.57 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X2,X1,X2,X3))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f12894,f13342])).
% 8.71/1.57 fof(f13497,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|midp(X3,X1,X4))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f12119,f13342])).
% 8.71/1.57 fof(f13500,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f189,f13342])).
% 8.71/1.57 fof(f13504,plain,(
% 8.71/1.57 ![X0,X1]: (midp(sK22_skl,X0,X1))),
% 8.71/1.57 inference(forward_subsumption_resolution,[status(thm)],[f13493,f13342])).
% 8.71/1.57 fof(f13506,plain,(
% 8.71/1.57 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f232,f13394])).
% 8.71/1.57 fof(f13532,plain,(
% 8.71/1.57 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 8.71/1.57 inference(forward_subsumption_resolution,[status(thm)],[f13506,f13394])).
% 8.71/1.57 fof(f13750,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X0,X2,X3,X4,X5,X6)|eqangle(X7,X1,X0,X1,X3,X4,X5,X6))),
% 8.71/1.57 inference(resolution,[status(thm)],[f13495,f147])).
% 8.71/1.57 fof(f13781,plain,(
% 8.71/1.57 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X3,X1,X3,X2))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f230,f13532])).
% 8.71/1.57 fof(f13856,plain,(
% 8.71/1.57 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 8.71/1.57 inference(resolution,[status(thm)],[f13497,f13504])).
% 8.71/1.57 fof(f13886,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|eqangle(X1,X2,X1,X3,X0,X2,X0,X4))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f216,f13856])).
% 8.71/1.57 fof(f13890,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X2,X3,X8,X9,X6,X7))),
% 8.71/1.57 inference(resolution,[status(thm)],[f13500,f147])).
% 8.71/1.57 fof(f13897,plain,(
% 8.71/1.57 ![X0,X1,X2]: (eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f206,f13899])).
% 8.71/1.57 fof(f13898,plain,(
% 8.71/1.57 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|circle(X0,X1,X2,X3))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f124,f13899])).
% 8.71/1.57 fof(f13899,plain,(
% 8.71/1.57 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 8.71/1.57 inference(forward_subsumption_resolution,[status(thm)],[f13781,f13856])).
% 8.71/1.57 fof(f13906,plain,(
% 8.71/1.57 ![X0,X1,X2,X3]: (circle(X0,X1,X2,X3))),
% 8.71/1.57 inference(forward_subsumption_resolution,[status(thm)],[f13898,f13899])).
% 8.71/1.57 fof(f13943,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X4))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f13886,f13906])).
% 8.71/1.57 fof(f13949,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4,X5,X6]: (~eqangle(X0,X1,X2,X1,X3,X4,X5,X6)|eqangle(X2,X0,X0,X1,X3,X4,X5,X6))),
% 8.71/1.57 inference(resolution,[status(thm)],[f13897,f147])).
% 8.71/1.57 fof(f14165,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4,X5,X6]: (eqangle(X0,X1,X0,X2,X3,X4,X5,X6))),
% 8.71/1.57 inference(resolution,[status(thm)],[f13890,f13943])).
% 8.71/1.57 fof(f15093,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4,X5,X6]: (eqangle(X0,X1,X2,X1,X3,X4,X5,X6))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f13750,f14165])).
% 8.71/1.57 fof(f15108,plain,(
% 8.71/1.57 ![X0,X1,X2,X3,X4,X5,X6]: (eqangle(X0,X1,X1,X2,X3,X4,X5,X6))),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f13949,f15093])).
% 8.71/1.57 fof(f15123,plain,(
% 8.71/1.57 $false),
% 8.71/1.57 inference(backward_subsumption_resolution,[status(thm)],[f380,f15108])).
% 8.71/1.57 % SZS output end CNFRefutation for theBenchmark.p
% 8.71/1.59 % Elapsed time: 1.206005 seconds
% 8.71/1.59 % CPU time: 9.260754 seconds
% 8.71/1.59 % Total memory used: 146.224 MB
% 8.71/1.59 % Net memory used: 138.139 MB
%------------------------------------------------------------------------------