%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO613+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 6.45s 1.27s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO613+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 17:57:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 6.45/1.27 % Refutation found
% 6.45/1.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.45/1.27 % SZS output start CNFRefutation for theBenchmark
% 6.45/1.27 fof(f1,axiom,(
% 6.45/1.27 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f2,axiom,(
% 6.45/1.27 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f3,axiom,(
% 6.45/1.27 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f7,axiom,(
% 6.45/1.27 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f8,axiom,(
% 6.45/1.27 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f9,axiom,(
% 6.45/1.27 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f11,axiom,(
% 6.45/1.27 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f12,axiom,(
% 6.45/1.27 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f14,axiom,(
% 6.45/1.27 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f15,axiom,(
% 6.45/1.27 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f17,axiom,(
% 6.45/1.27 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f20,axiom,(
% 6.45/1.27 (! [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) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f21,axiom,(
% 6.45/1.27 (! [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) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f22,axiom,(
% 6.45/1.27 (! [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) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f23,axiom,(
% 6.45/1.27 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f24,axiom,(
% 6.45/1.27 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f40,axiom,(
% 6.45/1.27 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f43,axiom,(
% 6.45/1.27 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f44,axiom,(
% 6.45/1.27 (! [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) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f53,axiom,(
% 6.45/1.27 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f54,axiom,(
% 6.45/1.27 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f57,axiom,(
% 6.45/1.27 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f64,axiom,(
% 6.45/1.27 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f68,axiom,(
% 6.45/1.27 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f69,axiom,(
% 6.45/1.27 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f70,axiom,(
% 6.45/1.27 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f83,axiom,(
% 6.45/1.27 (! [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) ) ))),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f95,conjecture,(
% 6.45/1.27 (! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :( ( circle(A,B,NWPNT1,NWPNT2)& circle(C,B,NWPNT3,NWPNT4)& circle(A,B,D,NWPNT5)& circle(C,B,D,NWPNT6)& midp(E,D,B)& circle(A,B,F,NWPNT7)& circle(C,B,G,NWPNT8)& coll(G,B,F)& coll(H,A,F)& coll(H,C,G) )=> eqangle(F,D,D,G,A,H,H,C) ) )),
% 6.45/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.45/1.27 fof(f96,negated_conjecture,(
% 6.45/1.27 ~((! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :( ( circle(A,B,NWPNT1,NWPNT2)& circle(C,B,NWPNT3,NWPNT4)& circle(A,B,D,NWPNT5)& circle(C,B,D,NWPNT6)& midp(E,D,B)& circle(A,B,F,NWPNT7)& circle(C,B,G,NWPNT8)& coll(G,B,F)& coll(H,A,F)& coll(H,C,G) )=> eqangle(F,D,D,G,A,H,H,C) ) ))),
% 6.45/1.27 inference(negated_conjecture,[status(cth)],[f95])).
% 6.45/1.27 fof(f97,plain,(
% 6.45/1.27 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 6.45/1.27 fof(f98,plain,(
% 6.45/1.27 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f97])).
% 6.45/1.27 fof(f99,plain,(
% 6.45/1.27 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 6.45/1.27 fof(f100,plain,(
% 6.45/1.27 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f99])).
% 6.45/1.27 fof(f101,plain,(
% 6.45/1.27 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 6.45/1.27 fof(f102,plain,(
% 6.45/1.27 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f101])).
% 6.45/1.27 fof(f103,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f102])).
% 6.45/1.27 fof(f111,plain,(
% 6.45/1.27 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 6.45/1.27 fof(f112,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f111])).
% 6.45/1.27 fof(f113,plain,(
% 6.45/1.27 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 6.45/1.27 fof(f114,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f113])).
% 6.45/1.27 fof(f115,plain,(
% 6.45/1.27 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 6.45/1.27 fof(f116,plain,(
% 6.45/1.27 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f115])).
% 6.45/1.27 fof(f117,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f116])).
% 6.45/1.27 fof(f121,plain,(
% 6.45/1.27 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 6.45/1.27 fof(f122,plain,(
% 6.45/1.27 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f121])).
% 6.45/1.27 fof(f123,plain,(
% 6.45/1.27 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 6.45/1.27 fof(f124,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f123])).
% 6.45/1.27 fof(f128,plain,(
% 6.45/1.27 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 6.45/1.27 fof(f129,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f128])).
% 6.45/1.27 fof(f130,plain,(
% 6.45/1.27 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 6.45/1.27 fof(f131,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f130])).
% 6.45/1.27 fof(f134,plain,(
% 6.45/1.27 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 6.45/1.27 fof(f135,plain,(
% 6.45/1.27 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f134])).
% 6.45/1.27 fof(f136,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f135])).
% 6.45/1.27 fof(f141,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 6.45/1.27 fof(f142,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f141])).
% 6.45/1.27 fof(f143,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 6.45/1.27 fof(f144,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f143])).
% 6.45/1.27 fof(f145,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 6.45/1.27 fof(f146,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f145])).
% 6.45/1.27 fof(f147,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f146])).
% 6.45/1.27 fof(f148,plain,(
% 6.45/1.27 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 6.45/1.27 fof(f149,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f148])).
% 6.45/1.27 fof(f150,plain,(
% 6.45/1.27 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 6.45/1.27 fof(f151,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f150])).
% 6.45/1.27 fof(f187,plain,(
% 6.45/1.27 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 6.45/1.27 fof(f188,plain,(
% 6.45/1.27 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f187])).
% 6.45/1.27 fof(f189,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f188])).
% 6.45/1.27 fof(f194,plain,(
% 6.45/1.27 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 6.45/1.27 fof(f195,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f194])).
% 6.45/1.27 fof(f196,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 6.45/1.27 fof(f197,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f196])).
% 6.45/1.27 fof(f198,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f197])).
% 6.45/1.27 fof(f220,plain,(
% 6.45/1.27 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 6.45/1.27 fof(f221,plain,(
% 6.45/1.27 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f220])).
% 6.45/1.27 fof(f222,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f221])).
% 6.45/1.27 fof(f223,plain,(
% 6.45/1.27 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 6.45/1.27 fof(f224,plain,(
% 6.45/1.27 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f223])).
% 6.45/1.27 fof(f225,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f224])).
% 6.45/1.27 fof(f231,plain,(
% 6.45/1.27 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 6.45/1.27 fof(f232,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f231])).
% 6.45/1.27 fof(f247,plain,(
% 6.45/1.27 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 6.45/1.27 fof(f248,plain,(
% 6.45/1.27 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f247])).
% 6.45/1.27 fof(f249,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f248])).
% 6.45/1.27 fof(f257,plain,(
% 6.45/1.27 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 6.45/1.27 fof(f258,plain,(
% 6.45/1.27 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f257])).
% 6.45/1.27 fof(f259,plain,(
% 6.45/1.27 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 6.45/1.27 fof(f260,plain,(
% 6.45/1.27 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f259])).
% 6.45/1.27 fof(f261,plain,(
% 6.45/1.27 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 6.45/1.27 fof(f262,plain,(
% 6.45/1.27 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f261])).
% 6.45/1.27 fof(f309,plain,(
% 6.45/1.27 ![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)))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 6.45/1.27 fof(f310,plain,(
% 6.45/1.27 ![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)))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f309])).
% 6.45/1.27 fof(f311,plain,(
% 6.45/1.27 ![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)))),
% 6.45/1.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 6.45/1.27 fof(f312,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f311])).
% 6.45/1.27 fof(f369,plain,(
% 6.45/1.27 (?[A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8]: ((((((((((circle(A,B,NWPNT1,NWPNT2)&circle(C,B,NWPNT3,NWPNT4))&circle(A,B,D,NWPNT5))&circle(C,B,D,NWPNT6))&midp(E,D,B))&circle(A,B,F,NWPNT7))&circle(C,B,G,NWPNT8))&coll(G,B,F))&coll(H,A,F))&coll(H,C,G))&~eqangle(F,D,D,G,A,H,H,C)))),
% 6.45/1.27 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 6.45/1.27 fof(f370,plain,(
% 6.45/1.27 ?[A,C,D,F,G,H]: ((((?[B]: ((((((((?[NWPNT1,NWPNT2]: circle(A,B,NWPNT1,NWPNT2))&(?[NWPNT3,NWPNT4]: circle(C,B,NWPNT3,NWPNT4)))&(?[NWPNT5]: circle(A,B,D,NWPNT5)))&(?[NWPNT6]: circle(C,B,D,NWPNT6)))&(?[E]: midp(E,D,B)))&(?[NWPNT7]: circle(A,B,F,NWPNT7)))&(?[NWPNT8]: circle(C,B,G,NWPNT8)))&coll(G,B,F)))&coll(H,A,F))&coll(H,C,G))&~eqangle(F,D,D,G,A,H,H,C))),
% 6.45/1.27 inference(miniscoping,[status(thm)],[f369])).
% 6.45/1.27 fof(f371,plain,(
% 6.45/1.27 ((((((((((circle(sK20_skl,sK26_skl,sK27_skl,sK28_skl)&circle(sK21_skl,sK26_skl,sK29_skl,sK30_skl))&circle(sK20_skl,sK26_skl,sK22_skl,sK31_skl))&circle(sK21_skl,sK26_skl,sK22_skl,sK32_skl))&midp(sK33_skl,sK22_skl,sK26_skl))&circle(sK20_skl,sK26_skl,sK23_skl,sK34_skl))&circle(sK21_skl,sK26_skl,sK24_skl,sK35_skl))&coll(sK24_skl,sK26_skl,sK23_skl))&coll(sK25_skl,sK20_skl,sK23_skl))&coll(sK25_skl,sK21_skl,sK24_skl))&~eqangle(sK23_skl,sK22_skl,sK22_skl,sK24_skl,sK20_skl,sK25_skl,sK25_skl,sK21_skl))),
% 6.45/1.27 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,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl]),skolemize(A,sK20_skl),skolemize(C,sK21_skl),skolemize(D,sK22_skl),skolemize(F,sK23_skl),skolemize(G,sK24_skl),skolemize(H,sK25_skl),skolemize(B,sK26_skl),skolemize(NWPNT1,sK27_skl),skolemize(NWPNT2,sK28_skl),skolemize(NWPNT3,sK29_skl),skolemize(NWPNT4,sK30_skl),skolemize(NWPNT5,sK31_skl),skolemize(NWPNT6,sK32_skl),skolemize(E,sK33_skl),skolemize(NWPNT7,sK34_skl),skolemize(NWPNT8,sK35_skl)],[f370])).
% 6.45/1.27 fof(f376,plain,(
% 6.45/1.27 midp(sK33_skl,sK22_skl,sK26_skl)),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f371])).
% 6.45/1.27 fof(f382,plain,(
% 6.45/1.27 ~eqangle(sK23_skl,sK22_skl,sK22_skl,sK24_skl,sK20_skl,sK25_skl,sK25_skl,sK21_skl)),
% 6.45/1.27 inference(cnf_transformation,[status(thm)],[f371])).
% 6.45/1.27 fof(f469,plain,(
% 6.45/1.27 midp(sK33_skl,sK26_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f122,f376])).
% 6.45/1.27 fof(f729,plain,(
% 6.45/1.27 ![X0]: (~perp(sK22_skl,X0,X0,sK26_skl)|cong(sK22_skl,sK33_skl,X0,sK33_skl))),
% 6.45/1.27 inference(resolution,[status(thm)],[f222,f376])).
% 6.45/1.27 fof(f820,plain,(
% 6.45/1.27 cong(sK33_skl,sK26_skl,sK33_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f260,f469])).
% 6.45/1.27 fof(f855,plain,(
% 6.45/1.27 coll(sK33_skl,sK26_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f262,f469])).
% 6.45/1.27 fof(f896,plain,(
% 6.45/1.27 coll(sK22_skl,sK22_skl,sK33_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f855,f103])).
% 6.45/1.27 fof(f911,plain,(
% 6.45/1.27 coll(sK33_skl,sK33_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f896,f103])).
% 6.45/1.27 fof(f916,plain,(
% 6.45/1.27 coll(sK22_skl,sK33_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f896,f98])).
% 6.45/1.27 fof(f1033,plain,(
% 6.45/1.27 coll(sK33_skl,sK22_skl,sK33_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f911,f98])).
% 6.45/1.27 fof(f1035,plain,(
% 6.45/1.27 coll(sK22_skl,sK22_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f916,f103])).
% 6.45/1.27 fof(f1039,plain,(
% 6.45/1.27 coll(sK33_skl,sK22_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f916,f100])).
% 6.45/1.27 fof(f1084,plain,(
% 6.45/1.27 coll(sK33_skl,sK33_skl,sK33_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1033,f103])).
% 6.45/1.27 fof(f1088,plain,(
% 6.45/1.27 coll(sK22_skl,sK33_skl,sK33_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1033,f100])).
% 6.45/1.27 fof(f1179,plain,(
% 6.45/1.27 circle(sK33_skl,sK26_skl,sK22_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f820,f124])).
% 6.45/1.27 fof(f1235,plain,(
% 6.45/1.27 ~coll(sK33_skl,sK26_skl,sK22_skl)|perp(sK26_skl,sK22_skl,sK22_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1179,f225])).
% 6.45/1.27 fof(f1239,plain,(
% 6.45/1.27 perp(sK26_skl,sK22_skl,sK22_skl,sK22_skl)),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f1235,f855])).
% 6.45/1.27 fof(f1677,plain,(
% 6.45/1.27 perp(sK22_skl,sK22_skl,sK26_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1239,f114])).
% 6.45/1.27 fof(f1737,plain,(
% 6.45/1.27 perp(sK22_skl,sK22_skl,sK22_skl,sK26_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1677,f112])).
% 6.45/1.27 fof(f1781,plain,(
% 6.45/1.27 cong(sK22_skl,sK33_skl,sK22_skl,sK33_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1737,f729])).
% 6.45/1.27 fof(f1837,plain,(
% 6.45/1.27 ~coll(sK22_skl,sK33_skl,sK33_skl)|midp(sK22_skl,sK33_skl,sK33_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1781,f258])).
% 6.45/1.27 fof(f1843,plain,(
% 6.45/1.27 cong(sK22_skl,sK33_skl,sK33_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1781,f149])).
% 6.45/1.27 fof(f1855,plain,(
% 6.45/1.27 midp(sK22_skl,sK33_skl,sK33_skl)),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f1837,f1088])).
% 6.45/1.27 fof(f1941,plain,(
% 6.45/1.27 cong(sK33_skl,sK22_skl,sK22_skl,sK33_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1843,f151])).
% 6.45/1.27 fof(f2035,plain,(
% 6.45/1.27 cong(sK33_skl,sK22_skl,sK33_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f1941,f149])).
% 6.45/1.27 fof(f2059,plain,(
% 6.45/1.27 ~coll(sK33_skl,sK22_skl,sK22_skl)|midp(sK33_skl,sK22_skl,sK22_skl)),
% 6.45/1.27 inference(resolution,[status(thm)],[f2035,f258])).
% 6.45/1.27 fof(f2077,plain,(
% 6.45/1.27 midp(sK33_skl,sK22_skl,sK22_skl)),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f2059,f1039])).
% 6.45/1.27 fof(f2301,plain,(
% 6.45/1.27 ![X0]: (~coll(sK33_skl,sK33_skl,sK33_skl)|~coll(sK33_skl,sK33_skl,sK33_skl)|midp(sK6_skl(X0,sK33_skl),sK33_skl,X0))),
% 6.45/1.27 inference(resolution,[status(thm)],[f312,f1855])).
% 6.45/1.27 fof(f2305,plain,(
% 6.45/1.27 ![X0]: (~coll(sK22_skl,sK22_skl,sK22_skl)|~coll(sK22_skl,sK22_skl,sK22_skl)|midp(sK6_skl(X0,sK22_skl),sK22_skl,X0))),
% 6.45/1.27 inference(resolution,[status(thm)],[f312,f2077])).
% 6.45/1.27 fof(f2625,plain,(
% 6.45/1.27 ![X0]: (~coll(sK33_skl,sK33_skl,sK33_skl)|midp(sK6_skl(X0,sK33_skl),sK33_skl,X0))),
% 6.45/1.27 inference(duplicate_literals_removal,[status(thm)],[f2301])).
% 6.45/1.27 fof(f2626,plain,(
% 6.45/1.27 ![X0]: (midp(sK6_skl(X0,sK33_skl),sK33_skl,X0))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f2625,f1084])).
% 6.45/1.27 fof(f2628,plain,(
% 6.45/1.27 ![X0]: (~coll(sK22_skl,sK22_skl,sK22_skl)|midp(sK6_skl(X0,sK22_skl),sK22_skl,X0))),
% 6.45/1.27 inference(duplicate_literals_removal,[status(thm)],[f2305])).
% 6.45/1.27 fof(f2629,plain,(
% 6.45/1.27 ![X0]: (midp(sK6_skl(X0,sK22_skl),sK22_skl,X0))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f2628,f1035])).
% 6.45/1.27 fof(f3110,plain,(
% 6.45/1.27 ![X0]: (coll(sK6_skl(X0,sK33_skl),sK33_skl,X0))),
% 6.45/1.27 inference(resolution,[status(thm)],[f2626,f262])).
% 6.45/1.27 fof(f3206,plain,(
% 6.45/1.27 ![X0]: (midp(sK6_skl(X0,sK22_skl),X0,sK22_skl))),
% 6.45/1.27 inference(resolution,[status(thm)],[f2629,f122])).
% 6.45/1.27 fof(f3304,plain,(
% 6.45/1.27 ![X0]: (coll(sK33_skl,sK6_skl(X0,sK33_skl),X0))),
% 6.45/1.27 inference(resolution,[status(thm)],[f3110,f100])).
% 6.45/1.27 fof(f3710,plain,(
% 6.45/1.27 ![X0]: (coll(X0,X0,sK33_skl))),
% 6.45/1.27 inference(resolution,[status(thm)],[f3304,f103])).
% 6.45/1.27 fof(f3727,plain,(
% 6.45/1.27 ![X0]: (coll(sK33_skl,sK33_skl,X0))),
% 6.45/1.27 inference(resolution,[status(thm)],[f3710,f103])).
% 6.45/1.27 fof(f3783,plain,(
% 6.45/1.27 ![X0,X1]: (~coll(sK33_skl,sK33_skl,X0)|coll(X0,X1,sK33_skl))),
% 6.45/1.27 inference(resolution,[status(thm)],[f3727,f103])).
% 6.45/1.27 fof(f3790,plain,(
% 6.45/1.27 ![X0,X1]: (coll(X0,X1,sK33_skl))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f3783,f3727])).
% 6.45/1.27 fof(f3816,plain,(
% 6.45/1.27 ![X0,X1]: (coll(X0,sK33_skl,X1))),
% 6.45/1.27 inference(resolution,[status(thm)],[f3790,f98])).
% 6.45/1.27 fof(f3833,plain,(
% 6.45/1.27 ![X0,X1,X2]: (~coll(X0,sK33_skl,X1)|coll(X1,X2,X0))),
% 6.45/1.27 inference(resolution,[status(thm)],[f3816,f103])).
% 6.45/1.27 fof(f3840,plain,(
% 6.45/1.27 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f3833,f3816])).
% 6.45/1.27 fof(f3957,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 6.45/1.27 inference(backward_subsumption_resolution,[status(thm)],[f195,f3840])).
% 6.45/1.27 fof(f3967,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(backward_subsumption_resolution,[status(thm)],[f312,f3840])).
% 6.45/1.27 fof(f3970,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|midp(sK6_skl(X6,X1),X1,X6))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f3967,f3840])).
% 6.45/1.27 fof(f4032,plain,(
% 6.45/1.27 ![X0,X1]: (midp(sK6_skl(X0,X1),X1,X0))),
% 6.45/1.27 inference(resolution,[status(thm)],[f3970,f3206])).
% 6.45/1.27 fof(f4095,plain,(
% 6.45/1.27 ![X0,X1]: (para(X0,X0,X1,X1))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4032,f249])).
% 6.45/1.27 fof(f4118,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (eqangle(X0,X0,X1,X2,X3,X3,X1,X2))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4095,f189])).
% 6.45/1.27 fof(f4439,plain,(
% 6.45/1.27 ![X0,X1]: (cyclic(X0,X1,X0,X0))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4118,f3957])).
% 6.45/1.27 fof(f4463,plain,(
% 6.45/1.27 ![X0,X1]: (cyclic(X0,X0,X1,X0))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4439,f131])).
% 6.45/1.27 fof(f4490,plain,(
% 6.45/1.27 ![X0,X1]: (cyclic(X0,X0,X0,X1))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4463,f129])).
% 6.45/1.27 fof(f4495,plain,(
% 6.45/1.27 ![X0,X1,X2]: (~cyclic(X0,X0,X0,X1)|cyclic(X0,X0,X1,X2))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4490,f136])).
% 6.45/1.27 fof(f4501,plain,(
% 6.45/1.27 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4495,f4490])).
% 6.45/1.27 fof(f4525,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4501,f136])).
% 6.45/1.27 fof(f4531,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4525,f4501])).
% 6.45/1.27 fof(f4575,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(backward_subsumption_resolution,[status(thm)],[f198,f4531])).
% 6.45/1.27 fof(f4579,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4575,f4531])).
% 6.45/1.27 fof(f4615,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4579,f4531])).
% 6.45/1.27 fof(f4616,plain,(
% 6.45/1.27 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4615,f4118])).
% 6.45/1.27 fof(f4643,plain,(
% 6.45/1.27 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4616,f232])).
% 6.45/1.27 fof(f4657,plain,(
% 6.45/1.27 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4643,f4616])).
% 6.45/1.27 fof(f4785,plain,(
% 6.45/1.27 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4657,f114])).
% 6.45/1.27 fof(f4970,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4]: (~perp(X0,X0,X1,X2)|para(X3,X4,X1,X2))),
% 6.45/1.27 inference(resolution,[status(thm)],[f4785,f117])).
% 6.45/1.27 fof(f4973,plain,(
% 6.45/1.27 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4970,f4657])).
% 6.45/1.27 fof(f5117,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 6.45/1.27 inference(backward_subsumption_resolution,[status(thm)],[f189,f4973])).
% 6.45/1.27 fof(f5285,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 6.45/1.27 inference(resolution,[status(thm)],[f5117,f144])).
% 6.45/1.27 fof(f5469,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5))),
% 6.45/1.27 inference(resolution,[status(thm)],[f5285,f142])).
% 6.45/1.27 fof(f5800,plain,(
% 6.45/1.27 ![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))),
% 6.45/1.27 inference(resolution,[status(thm)],[f5469,f147])).
% 6.45/1.27 fof(f5807,plain,(
% 6.45/1.27 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7))),
% 6.45/1.27 inference(forward_subsumption_resolution,[status(thm)],[f5800,f5285])).
% 6.45/1.27 fof(f6760,plain,(
% 6.45/1.27 $false),
% 6.45/1.27 inference(backward_subsumption_resolution,[status(thm)],[f382,f5807])).
% 6.45/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 6.45/1.31 % Elapsed time: 0.914152 seconds
% 6.45/1.31 % CPU time: 6.911874 seconds
% 6.45/1.31 % Total memory used: 143.250 MB
% 6.45/1.31 % Net memory used: 137.427 MB
%------------------------------------------------------------------------------