%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO599+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 : n014.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 22.71s 3.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO599+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n014.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 20 17:51:35 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.43 % Drodi V4.1.1
% 22.71/3.42 % Refutation found
% 22.71/3.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 22.71/3.42 % SZS output start CNFRefutation for theBenchmark
% 22.71/3.42 fof(f1,axiom,(
% 22.71/3.42 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f2,axiom,(
% 22.71/3.42 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f3,axiom,(
% 22.71/3.42 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f7,axiom,(
% 22.71/3.42 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f8,axiom,(
% 22.71/3.42 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f9,axiom,(
% 22.71/3.42 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f11,axiom,(
% 22.71/3.42 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f12,axiom,(
% 22.71/3.42 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f14,axiom,(
% 22.71/3.42 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f15,axiom,(
% 22.71/3.42 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f17,axiom,(
% 22.71/3.42 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f20,axiom,(
% 22.71/3.42 (! [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) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f21,axiom,(
% 22.71/3.42 (! [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) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f22,axiom,(
% 22.71/3.42 (! [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) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f23,axiom,(
% 22.71/3.42 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f24,axiom,(
% 22.71/3.42 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f40,axiom,(
% 22.71/3.42 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f43,axiom,(
% 22.71/3.42 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f44,axiom,(
% 22.71/3.42 (! [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) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f53,axiom,(
% 22.71/3.42 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f54,axiom,(
% 22.71/3.42 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f57,axiom,(
% 22.71/3.42 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f64,axiom,(
% 22.71/3.42 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f68,axiom,(
% 22.71/3.42 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f69,axiom,(
% 22.71/3.42 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f70,axiom,(
% 22.71/3.42 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f83,axiom,(
% 22.71/3.42 (! [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) ) ))),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f95,conjecture,(
% 22.71/3.42 (! [A,B,C,D,E,F,G,NWPNT1,NWPNT2,NWPNT3] :( ( circle(D,A,B,C)& midp(E,B,A)& coll(F,D,E)& circle(F,A,NWPNT1,NWPNT2)& coll(G,B,C)& circle(F,A,G,NWPNT3) )=> ( eqangle(D,A,A,F,C,A,A,G)& ( eqangle(A,D,D,F,A,C,C,G)| eqangle(D,A,A,F,C,A,A,G) )& ( eqangle(A,D,D,F,A,G,G,C)| eqangle(D,A,A,F,A,C,C,G) )& ( eqangle(A,D,D,F,C,A,A,G)| eqangle(D,A,A,F,A,C,C,G) )& ( eqangle(A,D,D,F,A,G,G,C)| eqangle(D,A,A,F,A,G,G,C) )& ( eqangle(A,D,D,F,C,A,A,G)| eqangle(D,A,A,F,A,G,G,C) )& eqangle(A,D,D,F,A,C,C,G) ) ) )),
% 22.71/3.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.71/3.42 fof(f96,negated_conjecture,(
% 22.71/3.42 ~((! [A,B,C,D,E,F,G,NWPNT1,NWPNT2,NWPNT3] :( ( circle(D,A,B,C)& midp(E,B,A)& coll(F,D,E)& circle(F,A,NWPNT1,NWPNT2)& coll(G,B,C)& circle(F,A,G,NWPNT3) )=> ( eqangle(D,A,A,F,C,A,A,G)& ( eqangle(A,D,D,F,A,C,C,G)| eqangle(D,A,A,F,C,A,A,G) )& ( eqangle(A,D,D,F,A,G,G,C)| eqangle(D,A,A,F,A,C,C,G) )& ( eqangle(A,D,D,F,C,A,A,G)| eqangle(D,A,A,F,A,C,C,G) )& ( eqangle(A,D,D,F,A,G,G,C)| eqangle(D,A,A,F,A,G,G,C) )& ( eqangle(A,D,D,F,C,A,A,G)| eqangle(D,A,A,F,A,G,G,C) )& eqangle(A,D,D,F,A,C,C,G) ) ) ))),
% 22.71/3.42 inference(negated_conjecture,[status(cth)],[f95])).
% 22.71/3.42 fof(f97,plain,(
% 22.71/3.42 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 22.71/3.42 fof(f98,plain,(
% 22.71/3.42 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f97])).
% 22.71/3.42 fof(f99,plain,(
% 22.71/3.42 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 22.71/3.42 fof(f100,plain,(
% 22.71/3.42 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f99])).
% 22.71/3.42 fof(f101,plain,(
% 22.71/3.42 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 22.71/3.42 fof(f102,plain,(
% 22.71/3.42 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f101])).
% 22.71/3.42 fof(f103,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f102])).
% 22.71/3.42 fof(f111,plain,(
% 22.71/3.42 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 22.71/3.42 fof(f112,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f111])).
% 22.71/3.42 fof(f113,plain,(
% 22.71/3.42 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 22.71/3.42 fof(f114,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f113])).
% 22.71/3.42 fof(f115,plain,(
% 22.71/3.42 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 22.71/3.42 fof(f116,plain,(
% 22.71/3.42 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f115])).
% 22.71/3.42 fof(f117,plain,(
% 22.71/3.42 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f116])).
% 22.71/3.42 fof(f121,plain,(
% 22.71/3.42 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 22.71/3.42 fof(f122,plain,(
% 22.71/3.42 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f121])).
% 22.71/3.42 fof(f123,plain,(
% 22.71/3.42 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 22.71/3.42 fof(f124,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f123])).
% 22.71/3.42 fof(f128,plain,(
% 22.71/3.42 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 22.71/3.42 fof(f129,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f128])).
% 22.71/3.42 fof(f130,plain,(
% 22.71/3.42 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 22.71/3.42 fof(f131,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f130])).
% 22.71/3.42 fof(f134,plain,(
% 22.71/3.42 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 22.71/3.42 fof(f135,plain,(
% 22.71/3.42 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f134])).
% 22.71/3.42 fof(f136,plain,(
% 22.71/3.42 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f135])).
% 22.71/3.42 fof(f141,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 22.71/3.42 fof(f142,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f141])).
% 22.71/3.42 fof(f143,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 22.71/3.42 fof(f144,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f143])).
% 22.71/3.42 fof(f145,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 22.71/3.42 fof(f146,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f145])).
% 22.71/3.42 fof(f147,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f146])).
% 22.71/3.42 fof(f148,plain,(
% 22.71/3.42 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 22.71/3.42 fof(f149,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f148])).
% 22.71/3.42 fof(f150,plain,(
% 22.71/3.42 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 22.71/3.42 fof(f151,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f150])).
% 22.71/3.42 fof(f187,plain,(
% 22.71/3.42 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 22.71/3.42 fof(f188,plain,(
% 22.71/3.42 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f187])).
% 22.71/3.42 fof(f189,plain,(
% 22.71/3.42 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f188])).
% 22.71/3.42 fof(f194,plain,(
% 22.71/3.42 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 22.71/3.42 fof(f195,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f194])).
% 22.71/3.42 fof(f196,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 22.71/3.42 fof(f197,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f196])).
% 22.71/3.42 fof(f198,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f197])).
% 22.71/3.42 fof(f220,plain,(
% 22.71/3.42 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 22.71/3.42 fof(f221,plain,(
% 22.71/3.42 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f220])).
% 22.71/3.42 fof(f222,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f221])).
% 22.71/3.42 fof(f223,plain,(
% 22.71/3.42 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 22.71/3.42 fof(f224,plain,(
% 22.71/3.42 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f223])).
% 22.71/3.42 fof(f225,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f224])).
% 22.71/3.42 fof(f231,plain,(
% 22.71/3.42 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 22.71/3.42 fof(f232,plain,(
% 22.71/3.42 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f231])).
% 22.71/3.42 fof(f247,plain,(
% 22.71/3.42 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 22.71/3.42 fof(f248,plain,(
% 22.71/3.42 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f247])).
% 22.71/3.42 fof(f249,plain,(
% 22.71/3.42 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f248])).
% 22.71/3.42 fof(f257,plain,(
% 22.71/3.42 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 22.71/3.42 fof(f258,plain,(
% 22.71/3.42 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f257])).
% 22.71/3.42 fof(f259,plain,(
% 22.71/3.42 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 22.71/3.42 fof(f260,plain,(
% 22.71/3.42 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f259])).
% 22.71/3.42 fof(f261,plain,(
% 22.71/3.42 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 22.71/3.42 fof(f262,plain,(
% 22.71/3.42 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f261])).
% 22.71/3.42 fof(f309,plain,(
% 22.71/3.42 ![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)))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 22.71/3.42 fof(f310,plain,(
% 22.71/3.42 ![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)))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f309])).
% 22.71/3.42 fof(f311,plain,(
% 22.71/3.42 ![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)))),
% 22.71/3.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 22.71/3.42 fof(f312,plain,(
% 22.71/3.42 ![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))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f311])).
% 22.71/3.42 fof(f369,plain,(
% 22.71/3.42 (?[A,B,C,D,E,F,G,NWPNT1,NWPNT2,NWPNT3]: ((((((circle(D,A,B,C)&midp(E,B,A))&coll(F,D,E))&circle(F,A,NWPNT1,NWPNT2))&coll(G,B,C))&circle(F,A,G,NWPNT3))&((((((~eqangle(D,A,A,F,C,A,A,G)|(~eqangle(A,D,D,F,A,C,C,G)&~eqangle(D,A,A,F,C,A,A,G)))|(~eqangle(A,D,D,F,A,G,G,C)&~eqangle(D,A,A,F,A,C,C,G)))|(~eqangle(A,D,D,F,C,A,A,G)&~eqangle(D,A,A,F,A,C,C,G)))|(~eqangle(A,D,D,F,A,G,G,C)&~eqangle(D,A,A,F,A,G,G,C)))|(~eqangle(A,D,D,F,C,A,A,G)&~eqangle(D,A,A,F,A,G,G,C)))|~eqangle(A,D,D,F,A,C,C,G))))),
% 22.71/3.42 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 22.71/3.42 fof(f370,definition,(
% 22.71/3.42 ![A,C,D,F,G]: (sP0_prd(G,F,D,C,A)<=>(~eqangle(A,D,D,F,A,C,C,G)&~eqangle(D,A,A,F,C,A,A,G)))),
% 22.71/3.42 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 22.71/3.42 fof(f371,definition,(
% 22.71/3.42 ![A,C,D,F,G]: (sP1_prd(G,F,D,C,A)<=>(~eqangle(A,D,D,F,A,G,G,C)&~eqangle(D,A,A,F,A,C,C,G)))),
% 22.71/3.42 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 22.71/3.42 fof(f372,definition,(
% 22.71/3.42 ![A,C,D,F,G]: (sP2_prd(G,F,D,C,A)<=>(~eqangle(A,D,D,F,C,A,A,G)&~eqangle(D,A,A,F,A,C,C,G)))),
% 22.71/3.42 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 22.71/3.42 fof(f373,definition,(
% 22.71/3.42 ![A,C,D,F,G]: (sP3_prd(G,F,D,C,A)<=>(~eqangle(A,D,D,F,A,G,G,C)&~eqangle(D,A,A,F,A,G,G,C)))),
% 22.71/3.42 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 22.71/3.42 fof(f374,plain,(
% 22.71/3.42 ?[A,B,C,D,E,F,G,NWPNT1,NWPNT2,NWPNT3]: ((((((circle(D,A,B,C)&midp(E,B,A))&coll(F,D,E))&circle(F,A,NWPNT1,NWPNT2))&coll(G,B,C))&circle(F,A,G,NWPNT3))&((((((~eqangle(D,A,A,F,C,A,A,G)|sP0_prd(G,F,D,C,A))|sP1_prd(G,F,D,C,A))|sP2_prd(G,F,D,C,A))|sP3_prd(G,F,D,C,A))|(~eqangle(A,D,D,F,C,A,A,G)&~eqangle(D,A,A,F,A,G,G,C)))|~eqangle(A,D,D,F,A,C,C,G)))),
% 22.71/3.42 inference(formula_renaming,[status(thm)],[f369,f373,f372,f371,f370])).
% 22.71/3.42 fof(f375,plain,(
% 22.71/3.42 ?[A,C,D,F,G]: (((?[B]: (((?[E]: ((circle(D,A,B,C)&midp(E,B,A))&coll(F,D,E)))&(?[NWPNT1,NWPNT2]: circle(F,A,NWPNT1,NWPNT2)))&coll(G,B,C)))&(?[NWPNT3]: circle(F,A,G,NWPNT3)))&((((((~eqangle(D,A,A,F,C,A,A,G)|sP0_prd(G,F,D,C,A))|sP1_prd(G,F,D,C,A))|sP2_prd(G,F,D,C,A))|sP3_prd(G,F,D,C,A))|(~eqangle(A,D,D,F,C,A,A,G)&~eqangle(D,A,A,F,A,G,G,C)))|~eqangle(A,D,D,F,A,C,C,G)))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f374])).
% 22.71/3.42 fof(f376,plain,(
% 22.71/3.42 ((((((circle(sK22_skl,sK20_skl,sK25_skl,sK21_skl)&midp(sK26_skl,sK25_skl,sK20_skl))&coll(sK23_skl,sK22_skl,sK26_skl))&circle(sK23_skl,sK20_skl,sK27_skl,sK28_skl))&coll(sK24_skl,sK25_skl,sK21_skl))&circle(sK23_skl,sK20_skl,sK24_skl,sK29_skl))&((((((~eqangle(sK22_skl,sK20_skl,sK20_skl,sK23_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)|sP0_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl))|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl))|sP2_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl))|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl))|(~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)&~eqangle(sK22_skl,sK20_skl,sK20_skl,sK23_skl,sK20_skl,sK24_skl,sK24_skl,sK21_skl)))|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK20_skl,sK21_skl,sK21_skl,sK24_skl)))),
% 22.71/3.42 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(A,sK20_skl),skolemize(C,sK21_skl),skolemize(D,sK22_skl),skolemize(F,sK23_skl),skolemize(G,sK24_skl),skolemize(B,sK25_skl),skolemize(E,sK26_skl),skolemize(NWPNT1,sK27_skl),skolemize(NWPNT2,sK28_skl),skolemize(NWPNT3,sK29_skl)],[f375])).
% 22.71/3.42 fof(f378,plain,(
% 22.71/3.42 midp(sK26_skl,sK25_skl,sK20_skl)),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f376])).
% 22.71/3.42 fof(f379,plain,(
% 22.71/3.42 coll(sK23_skl,sK22_skl,sK26_skl)),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f376])).
% 22.71/3.42 fof(f381,plain,(
% 22.71/3.42 coll(sK24_skl,sK25_skl,sK21_skl)),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f376])).
% 22.71/3.42 fof(f383,plain,(
% 22.71/3.42 ~eqangle(sK22_skl,sK20_skl,sK20_skl,sK23_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)|sP0_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP2_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK20_skl,sK21_skl,sK21_skl,sK24_skl)),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f376])).
% 22.71/3.42 fof(f385,plain,(
% 22.71/3.42 ![A,C,D,F,G]: ((~sP0_prd(G,F,D,C,A)|(~eqangle(A,D,D,F,A,C,C,G)&~eqangle(D,A,A,F,C,A,A,G)))&(sP0_prd(G,F,D,C,A)|(eqangle(A,D,D,F,A,C,C,G)|eqangle(D,A,A,F,C,A,A,G))))),
% 22.71/3.42 inference(NNF_transformation,[status(thm)],[f370])).
% 22.71/3.42 fof(f386,plain,(
% 22.71/3.42 (![A,C,D,F,G]: (~sP0_prd(G,F,D,C,A)|(~eqangle(A,D,D,F,A,C,C,G)&~eqangle(D,A,A,F,C,A,A,G))))&(![A,C,D,F,G]: (sP0_prd(G,F,D,C,A)|(eqangle(A,D,D,F,A,C,C,G)|eqangle(D,A,A,F,C,A,A,G))))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f385])).
% 22.71/3.42 fof(f387,plain,(
% 22.71/3.42 ![X0,X1,X2,X3,X4]: (~sP0_prd(X0,X1,X2,X3,X4)|~eqangle(X4,X2,X2,X1,X4,X3,X3,X0))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f386])).
% 22.71/3.42 fof(f390,plain,(
% 22.71/3.42 ![A,C,D,F,G]: ((~sP1_prd(G,F,D,C,A)|(~eqangle(A,D,D,F,A,G,G,C)&~eqangle(D,A,A,F,A,C,C,G)))&(sP1_prd(G,F,D,C,A)|(eqangle(A,D,D,F,A,G,G,C)|eqangle(D,A,A,F,A,C,C,G))))),
% 22.71/3.42 inference(NNF_transformation,[status(thm)],[f371])).
% 22.71/3.42 fof(f391,plain,(
% 22.71/3.42 (![A,C,D,F,G]: (~sP1_prd(G,F,D,C,A)|(~eqangle(A,D,D,F,A,G,G,C)&~eqangle(D,A,A,F,A,C,C,G))))&(![A,C,D,F,G]: (sP1_prd(G,F,D,C,A)|(eqangle(A,D,D,F,A,G,G,C)|eqangle(D,A,A,F,A,C,C,G))))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f390])).
% 22.71/3.42 fof(f393,plain,(
% 22.71/3.42 ![X0,X1,X2,X3,X4]: (~sP1_prd(X0,X1,X2,X3,X4)|~eqangle(X2,X4,X4,X1,X4,X3,X3,X0))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f391])).
% 22.71/3.42 fof(f395,plain,(
% 22.71/3.42 ![A,C,D,F,G]: ((~sP2_prd(G,F,D,C,A)|(~eqangle(A,D,D,F,C,A,A,G)&~eqangle(D,A,A,F,A,C,C,G)))&(sP2_prd(G,F,D,C,A)|(eqangle(A,D,D,F,C,A,A,G)|eqangle(D,A,A,F,A,C,C,G))))),
% 22.71/3.42 inference(NNF_transformation,[status(thm)],[f372])).
% 22.71/3.42 fof(f396,plain,(
% 22.71/3.42 (![A,C,D,F,G]: (~sP2_prd(G,F,D,C,A)|(~eqangle(A,D,D,F,C,A,A,G)&~eqangle(D,A,A,F,A,C,C,G))))&(![A,C,D,F,G]: (sP2_prd(G,F,D,C,A)|(eqangle(A,D,D,F,C,A,A,G)|eqangle(D,A,A,F,A,C,C,G))))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f395])).
% 22.71/3.42 fof(f397,plain,(
% 22.71/3.42 ![X0,X1,X2,X3,X4]: (~sP2_prd(X0,X1,X2,X3,X4)|~eqangle(X4,X2,X2,X1,X3,X4,X4,X0))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f396])).
% 22.71/3.42 fof(f400,plain,(
% 22.71/3.42 ![A,C,D,F,G]: ((~sP3_prd(G,F,D,C,A)|(~eqangle(A,D,D,F,A,G,G,C)&~eqangle(D,A,A,F,A,G,G,C)))&(sP3_prd(G,F,D,C,A)|(eqangle(A,D,D,F,A,G,G,C)|eqangle(D,A,A,F,A,G,G,C))))),
% 22.71/3.42 inference(NNF_transformation,[status(thm)],[f373])).
% 22.71/3.42 fof(f401,plain,(
% 22.71/3.42 (![A,C,D,F,G]: (~sP3_prd(G,F,D,C,A)|(~eqangle(A,D,D,F,A,G,G,C)&~eqangle(D,A,A,F,A,G,G,C))))&(![A,C,D,F,G]: (sP3_prd(G,F,D,C,A)|(eqangle(A,D,D,F,A,G,G,C)|eqangle(D,A,A,F,A,G,G,C))))),
% 22.71/3.42 inference(miniscoping,[status(thm)],[f400])).
% 22.71/3.42 fof(f403,plain,(
% 22.71/3.42 ![X0,X1,X2,X3,X4]: (~sP3_prd(X0,X1,X2,X3,X4)|~eqangle(X2,X4,X4,X1,X4,X0,X0,X3))),
% 22.71/3.42 inference(cnf_transformation,[status(thm)],[f401])).
% 22.71/3.42 fof(f405,plain,(
% 22.71/3.42 coll(sK24_skl,sK21_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f98,f381])).
% 22.71/3.42 fof(f413,plain,(
% 22.71/3.42 coll(sK25_skl,sK25_skl,sK24_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f103,f405])).
% 22.71/3.42 fof(f419,plain,(
% 22.71/3.42 coll(sK26_skl,sK26_skl,sK23_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f103,f379])).
% 22.71/3.42 fof(f454,plain,(
% 22.71/3.42 coll(sK25_skl,sK24_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f413,f98])).
% 22.71/3.42 fof(f472,plain,(
% 22.71/3.42 coll(sK26_skl,sK23_skl,sK26_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f419,f98])).
% 22.71/3.42 fof(f491,plain,(
% 22.71/3.42 midp(sK26_skl,sK20_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f122,f378])).
% 22.71/3.42 fof(f528,plain,(
% 22.71/3.42 coll(sK25_skl,sK25_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f454,f103])).
% 22.71/3.42 fof(f564,plain,(
% 22.71/3.42 coll(sK26_skl,sK26_skl,sK26_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f472,f103])).
% 22.71/3.42 fof(f623,plain,(
% 22.71/3.42 ~eqangle(sK22_skl,sK20_skl,sK20_skl,sK23_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP2_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK20_skl,sK21_skl,sK21_skl,sK24_skl)),
% 22.71/3.42 inference(backward_subsumption_resolution,[status(thm)],[f383,f387])).
% 22.71/3.42 fof(f687,plain,(
% 22.71/3.42 ![X0]: (~perp(sK25_skl,X0,X0,sK20_skl)|cong(sK25_skl,sK26_skl,X0,sK26_skl))),
% 22.71/3.42 inference(resolution,[status(thm)],[f222,f378])).
% 22.71/3.42 fof(f790,plain,(
% 22.71/3.42 coll(sK26_skl,sK20_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f262,f491])).
% 22.71/3.42 fof(f792,plain,(
% 22.71/3.42 coll(sK25_skl,sK25_skl,sK26_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f790,f103])).
% 22.71/3.42 fof(f804,plain,(
% 22.71/3.42 coll(sK26_skl,sK26_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f792,f103])).
% 22.71/3.42 fof(f809,plain,(
% 22.71/3.42 coll(sK25_skl,sK26_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f792,f98])).
% 22.71/3.42 fof(f810,plain,(
% 22.71/3.42 cong(sK26_skl,sK20_skl,sK26_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f260,f491])).
% 22.71/3.42 fof(f835,plain,(
% 22.71/3.42 coll(sK26_skl,sK25_skl,sK26_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f804,f98])).
% 22.71/3.42 fof(f844,plain,(
% 22.71/3.42 coll(sK26_skl,sK25_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f809,f100])).
% 22.71/3.42 fof(f942,plain,(
% 22.71/3.42 coll(sK25_skl,sK26_skl,sK26_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f835,f100])).
% 22.71/3.42 fof(f1141,plain,(
% 22.71/3.42 circle(sK26_skl,sK20_skl,sK25_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f810,f124])).
% 22.71/3.42 fof(f1370,plain,(
% 22.71/3.42 ~coll(sK26_skl,sK20_skl,sK25_skl)|perp(sK20_skl,sK25_skl,sK25_skl,sK25_skl)),
% 22.71/3.42 inference(resolution,[status(thm)],[f1141,f225])).
% 22.71/3.42 fof(f1374,plain,(
% 22.71/3.42 perp(sK20_skl,sK25_skl,sK25_skl,sK25_skl)),
% 22.71/3.42 inference(forward_subsumption_resolution,[status(thm)],[f1370,f790])).
% 22.71/3.42 fof(f1375,plain,(
% 22.71/3.42 ~eqangle(sK22_skl,sK20_skl,sK20_skl,sK23_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK20_skl,sK21_skl,sK21_skl,sK24_skl)),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f623,f397])).
% 22.71/3.43 fof(f1469,plain,(
% 22.71/3.43 perp(sK25_skl,sK25_skl,sK20_skl,sK25_skl)),
% 22.71/3.43 inference(resolution,[status(thm)],[f1374,f114])).
% 22.71/3.43 fof(f1602,plain,(
% 22.71/3.43 perp(sK25_skl,sK25_skl,sK25_skl,sK20_skl)),
% 22.71/3.43 inference(resolution,[status(thm)],[f1469,f112])).
% 22.71/3.43 fof(f2125,plain,(
% 22.71/3.43 cong(sK25_skl,sK26_skl,sK25_skl,sK26_skl)),
% 22.71/3.43 inference(resolution,[status(thm)],[f687,f1602])).
% 22.71/3.43 fof(f2136,plain,(
% 22.71/3.43 ~coll(sK25_skl,sK26_skl,sK26_skl)|midp(sK25_skl,sK26_skl,sK26_skl)),
% 22.71/3.43 inference(resolution,[status(thm)],[f2125,f258])).
% 22.71/3.43 fof(f2142,plain,(
% 22.71/3.43 cong(sK25_skl,sK26_skl,sK26_skl,sK25_skl)),
% 22.71/3.43 inference(resolution,[status(thm)],[f2125,f149])).
% 22.71/3.43 fof(f2153,plain,(
% 22.71/3.43 midp(sK25_skl,sK26_skl,sK26_skl)),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f2136,f942])).
% 22.71/3.43 fof(f2261,plain,(
% 22.71/3.43 cong(sK26_skl,sK25_skl,sK25_skl,sK26_skl)),
% 22.71/3.43 inference(resolution,[status(thm)],[f2142,f151])).
% 22.71/3.43 fof(f2338,plain,(
% 22.71/3.43 cong(sK26_skl,sK25_skl,sK26_skl,sK25_skl)),
% 22.71/3.43 inference(resolution,[status(thm)],[f2261,f149])).
% 22.71/3.43 fof(f2358,plain,(
% 22.71/3.43 ~coll(sK26_skl,sK25_skl,sK25_skl)|midp(sK26_skl,sK25_skl,sK25_skl)),
% 22.71/3.43 inference(resolution,[status(thm)],[f2338,f258])).
% 22.71/3.43 fof(f2375,plain,(
% 22.71/3.43 midp(sK26_skl,sK25_skl,sK25_skl)),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f2358,f844])).
% 22.71/3.43 fof(f3732,plain,(
% 22.71/3.43 ![X0]: (~coll(sK26_skl,sK26_skl,sK26_skl)|~coll(sK26_skl,sK26_skl,sK26_skl)|midp(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 22.71/3.43 inference(resolution,[status(thm)],[f312,f2153])).
% 22.71/3.43 fof(f3736,plain,(
% 22.71/3.43 ![X0]: (~coll(sK25_skl,sK25_skl,sK25_skl)|~coll(sK25_skl,sK25_skl,sK25_skl)|midp(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 22.71/3.43 inference(resolution,[status(thm)],[f312,f2375])).
% 22.71/3.43 fof(f4050,plain,(
% 22.71/3.43 ![X0]: (~coll(sK26_skl,sK26_skl,sK26_skl)|midp(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 22.71/3.43 inference(duplicate_literals_removal,[status(thm)],[f3732])).
% 22.71/3.43 fof(f4051,plain,(
% 22.71/3.43 ![X0]: (midp(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f4050,f564])).
% 22.71/3.43 fof(f4053,plain,(
% 22.71/3.43 ![X0]: (~coll(sK25_skl,sK25_skl,sK25_skl)|midp(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 22.71/3.43 inference(duplicate_literals_removal,[status(thm)],[f3736])).
% 22.71/3.43 fof(f4054,plain,(
% 22.71/3.43 ![X0]: (midp(sK6_skl(X0,sK25_skl),sK25_skl,X0))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f4053,f528])).
% 22.71/3.43 fof(f5964,plain,(
% 22.71/3.43 ![X0]: (coll(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 22.71/3.43 inference(resolution,[status(thm)],[f4051,f262])).
% 22.71/3.43 fof(f6110,plain,(
% 22.71/3.43 ![X0]: (midp(sK6_skl(X0,sK25_skl),X0,sK25_skl))),
% 22.71/3.43 inference(resolution,[status(thm)],[f4054,f122])).
% 22.71/3.43 fof(f6180,plain,(
% 22.71/3.43 ![X0]: (coll(sK26_skl,sK6_skl(X0,sK26_skl),X0))),
% 22.71/3.43 inference(resolution,[status(thm)],[f5964,f100])).
% 22.71/3.43 fof(f6756,plain,(
% 22.71/3.43 ![X0]: (coll(X0,X0,sK26_skl))),
% 22.71/3.43 inference(resolution,[status(thm)],[f6180,f103])).
% 22.71/3.43 fof(f6777,plain,(
% 22.71/3.43 ![X0]: (coll(sK26_skl,sK26_skl,X0))),
% 22.71/3.43 inference(resolution,[status(thm)],[f6756,f103])).
% 22.71/3.43 fof(f6846,plain,(
% 22.71/3.43 ![X0,X1]: (~coll(sK26_skl,sK26_skl,X0)|coll(X0,X1,sK26_skl))),
% 22.71/3.43 inference(resolution,[status(thm)],[f6777,f103])).
% 22.71/3.43 fof(f6853,plain,(
% 22.71/3.43 ![X0,X1]: (coll(X0,X1,sK26_skl))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f6846,f6777])).
% 22.71/3.43 fof(f6919,plain,(
% 22.71/3.43 ![X0,X1]: (coll(X0,sK26_skl,X1))),
% 22.71/3.43 inference(resolution,[status(thm)],[f6853,f98])).
% 22.71/3.43 fof(f6941,plain,(
% 22.71/3.43 ![X0,X1,X2]: (~coll(X0,sK26_skl,X1)|coll(X1,X2,X0))),
% 22.71/3.43 inference(resolution,[status(thm)],[f6919,f103])).
% 22.71/3.43 fof(f6948,plain,(
% 22.71/3.43 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f6941,f6919])).
% 22.71/3.43 fof(f6974,plain,(
% 22.71/3.43 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 22.71/3.43 inference(backward_subsumption_resolution,[status(thm)],[f195,f6948])).
% 22.71/3.43 fof(f6982,plain,(
% 22.71/3.43 ![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))),
% 22.71/3.43 inference(backward_subsumption_resolution,[status(thm)],[f312,f6948])).
% 22.71/3.43 fof(f6986,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|midp(sK6_skl(X6,X1),X1,X6))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f6982,f6948])).
% 22.71/3.43 fof(f7119,plain,(
% 22.71/3.43 ![X0,X1]: (midp(sK6_skl(X0,X1),X1,X0))),
% 22.71/3.43 inference(resolution,[status(thm)],[f6986,f6110])).
% 22.71/3.43 fof(f7163,plain,(
% 22.71/3.43 ![X0,X1]: (para(X0,X0,X1,X1))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7119,f249])).
% 22.71/3.43 fof(f7181,plain,(
% 22.71/3.43 ![X0,X1,X2,X3]: (eqangle(X0,X0,X1,X2,X3,X3,X1,X2))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7163,f189])).
% 22.71/3.43 fof(f7286,plain,(
% 22.71/3.43 ![X0,X1]: (cyclic(X0,X1,X0,X0))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7181,f6974])).
% 22.71/3.43 fof(f7324,plain,(
% 22.71/3.43 ![X0,X1]: (cyclic(X0,X0,X1,X0))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7286,f131])).
% 22.71/3.43 fof(f7347,plain,(
% 22.71/3.43 ![X0,X1]: (cyclic(X0,X0,X0,X1))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7324,f129])).
% 22.71/3.43 fof(f7352,plain,(
% 22.71/3.43 ![X0,X1,X2]: (~cyclic(X0,X0,X0,X1)|cyclic(X0,X0,X1,X2))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7347,f136])).
% 22.71/3.43 fof(f7358,plain,(
% 22.71/3.43 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f7352,f7347])).
% 22.71/3.43 fof(f7428,plain,(
% 22.71/3.43 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7358,f136])).
% 22.71/3.43 fof(f7434,plain,(
% 22.71/3.43 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f7428,f7358])).
% 22.71/3.43 fof(f7637,plain,(
% 22.71/3.43 ![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))),
% 22.71/3.43 inference(backward_subsumption_resolution,[status(thm)],[f198,f7434])).
% 22.71/3.43 fof(f7641,plain,(
% 22.71/3.43 ![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))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f7637,f7434])).
% 22.71/3.43 fof(f7650,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f7641,f7434])).
% 22.71/3.43 fof(f7656,plain,(
% 22.71/3.43 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7650,f7181])).
% 22.71/3.43 fof(f7727,plain,(
% 22.71/3.43 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7656,f232])).
% 22.71/3.43 fof(f7741,plain,(
% 22.71/3.43 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f7727,f7656])).
% 22.71/3.43 fof(f7827,plain,(
% 22.71/3.43 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7741,f114])).
% 22.71/3.43 fof(f7984,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4]: (~perp(X0,X0,X1,X2)|para(X3,X4,X1,X2))),
% 22.71/3.43 inference(resolution,[status(thm)],[f7827,f117])).
% 22.71/3.43 fof(f7987,plain,(
% 22.71/3.43 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f7984,f7741])).
% 22.71/3.43 fof(f8211,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 22.71/3.43 inference(backward_subsumption_resolution,[status(thm)],[f189,f7987])).
% 22.71/3.43 fof(f8460,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 22.71/3.43 inference(resolution,[status(thm)],[f8211,f144])).
% 22.71/3.43 fof(f10093,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5))),
% 22.71/3.43 inference(resolution,[status(thm)],[f8460,f142])).
% 22.71/3.43 fof(f11194,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|eqangle(X0,X1,X2,X3,X6,X7,X8,X9))),
% 22.71/3.43 inference(resolution,[status(thm)],[f10093,f147])).
% 22.71/3.43 fof(f11201,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7))),
% 22.71/3.43 inference(forward_subsumption_resolution,[status(thm)],[f11194,f8460])).
% 22.71/3.43 fof(f12098,plain,(
% 22.71/3.43 ~eqangle(sK22_skl,sK20_skl,sK20_skl,sK23_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)|sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK20_skl,sK21_skl,sK21_skl,sK24_skl)),
% 22.71/3.43 inference(backward_subsumption_resolution,[status(thm)],[f1375,f11201])).
% 22.71/3.43 fof(f12100,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4]: (~sP3_prd(X0,X1,X2,X3,X4))),
% 22.71/3.43 inference(backward_subsumption_resolution,[status(thm)],[f403,f11201])).
% 22.71/3.43 fof(f12104,plain,(
% 22.71/3.43 ![X0,X1,X2,X3,X4]: (~sP1_prd(X0,X1,X2,X3,X4))),
% 22.71/3.43 inference(backward_subsumption_resolution,[status(thm)],[f393,f11201])).
% 23.45/3.45 fof(f12108,plain,(
% 23.45/3.45 sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|sP3_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK20_skl,sK21_skl,sK21_skl,sK24_skl)),
% 23.45/3.45 inference(forward_subsumption_resolution,[status(thm)],[f12098,f11201])).
% 23.45/3.45 fof(f12110,plain,(
% 23.45/3.45 sP1_prd(sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)|~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK20_skl,sK21_skl,sK21_skl,sK24_skl)),
% 23.45/3.45 inference(forward_subsumption_resolution,[status(thm)],[f12108,f12100])).
% 23.45/3.45 fof(f12112,plain,(
% 23.45/3.45 ~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK20_skl,sK21_skl,sK21_skl,sK24_skl)),
% 23.45/3.45 inference(backward_subsumption_resolution,[status(thm)],[f12110,f12104])).
% 23.45/3.45 fof(f12113,plain,(
% 23.45/3.45 $false),
% 23.45/3.45 inference(forward_subsumption_resolution,[status(thm)],[f12112,f11201])).
% 23.45/3.45 % SZS output end CNFRefutation for theBenchmark.p
% 23.45/3.47 % Elapsed time: 3.041033 seconds
% 23.45/3.47 % CPU time: 23.758150 seconds
% 23.45/3.47 % Total memory used: 165.401 MB
% 23.45/3.47 % Net memory used: 152.692 MB
%------------------------------------------------------------------------------