%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO625+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 12:26:44 PM UTC 2026
% Result : Theorem 27.60s 3.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO625+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 18:07:07 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 27.60/3.99 % Refutation found
% 27.60/3.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 27.60/3.99 % SZS output start CNFRefutation for theBenchmark
% 27.60/3.99 fof(f1,axiom,(
% 27.60/3.99 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f2,axiom,(
% 27.60/3.99 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f3,axiom,(
% 27.60/3.99 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f8,axiom,(
% 27.60/3.99 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f9,axiom,(
% 27.60/3.99 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f11,axiom,(
% 27.60/3.99 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f12,axiom,(
% 27.60/3.99 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f14,axiom,(
% 27.60/3.99 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f15,axiom,(
% 27.60/3.99 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f17,axiom,(
% 27.60/3.99 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f22,axiom,(
% 27.60/3.99 (! [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) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f40,axiom,(
% 27.60/3.99 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f43,axiom,(
% 27.60/3.99 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f44,axiom,(
% 27.60/3.99 (! [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) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f46,axiom,(
% 27.60/3.99 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f47,axiom,(
% 27.60/3.99 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f51,axiom,(
% 27.60/3.99 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& midp(M,B,C) )=> eqangle(A,B,A,C,O,B,O,M) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f53,axiom,(
% 27.60/3.99 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f55,axiom,(
% 27.60/3.99 (! [A,B,C,D] :( ( cyclic(A,B,C,D)& para(A,B,C,D) )=> eqangle(A,D,C,D,C,D,C,B) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f56,axiom,(
% 27.60/3.99 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f57,axiom,(
% 27.60/3.99 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f58,axiom,(
% 27.60/3.99 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f64,axiom,(
% 27.60/3.99 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f68,axiom,(
% 27.60/3.99 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f70,axiom,(
% 27.60/3.99 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f83,axiom,(
% 27.60/3.99 (! [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) ) ))),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f95,conjecture,(
% 27.60/3.99 (! [A,B,C,I,C1,A1,B1,P,Q,N] :( ( eqangle(I,A,A,B,I,A,A,C)& eqangle(I,B,B,C,I,B,B,A)& eqangle(I,C,C,A,I,C,C,B)& midp(C1,B,A)& midp(A1,C,B)& midp(B1,A,C)& midp(P,I,B)& midp(Q,C,I)& circle(N,P,A1,Q) )=> eqangle(B1,A1,A1,N,N,A1,A1,C1) ) )),
% 27.60/3.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.60/3.99 fof(f96,negated_conjecture,(
% 27.60/3.99 ~((! [A,B,C,I,C1,A1,B1,P,Q,N] :( ( eqangle(I,A,A,B,I,A,A,C)& eqangle(I,B,B,C,I,B,B,A)& eqangle(I,C,C,A,I,C,C,B)& midp(C1,B,A)& midp(A1,C,B)& midp(B1,A,C)& midp(P,I,B)& midp(Q,C,I)& circle(N,P,A1,Q) )=> eqangle(B1,A1,A1,N,N,A1,A1,C1) ) ))),
% 27.60/3.99 inference(negated_conjecture,[status(cth)],[f95])).
% 27.60/3.99 fof(f97,plain,(
% 27.60/3.99 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 27.60/3.99 fof(f98,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f97])).
% 27.60/3.99 fof(f99,plain,(
% 27.60/3.99 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 27.60/3.99 fof(f100,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f99])).
% 27.60/3.99 fof(f101,plain,(
% 27.60/3.99 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 27.60/3.99 fof(f102,plain,(
% 27.60/3.99 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f101])).
% 27.60/3.99 fof(f103,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f102])).
% 27.60/3.99 fof(f113,plain,(
% 27.60/3.99 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 27.60/3.99 fof(f114,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f113])).
% 27.60/3.99 fof(f115,plain,(
% 27.60/3.99 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 27.60/3.99 fof(f116,plain,(
% 27.60/3.99 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f115])).
% 27.60/3.99 fof(f117,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f116])).
% 27.60/3.99 fof(f121,plain,(
% 27.60/3.99 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 27.60/3.99 fof(f122,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f121])).
% 27.60/3.99 fof(f123,plain,(
% 27.60/3.99 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 27.60/3.99 fof(f124,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f123])).
% 27.60/3.99 fof(f128,plain,(
% 27.60/3.99 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 27.60/3.99 fof(f129,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f128])).
% 27.60/3.99 fof(f130,plain,(
% 27.60/3.99 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 27.60/3.99 fof(f131,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f130])).
% 27.60/3.99 fof(f134,plain,(
% 27.60/3.99 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 27.60/3.99 fof(f135,plain,(
% 27.60/3.99 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f134])).
% 27.60/3.99 fof(f136,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f135])).
% 27.60/3.99 fof(f145,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 27.60/3.99 fof(f146,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f145])).
% 27.60/3.99 fof(f147,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f146])).
% 27.60/3.99 fof(f187,plain,(
% 27.60/3.99 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 27.60/3.99 fof(f188,plain,(
% 27.60/3.99 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f187])).
% 27.60/3.99 fof(f189,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f188])).
% 27.60/3.99 fof(f194,plain,(
% 27.60/3.99 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 27.60/3.99 fof(f195,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f194])).
% 27.60/3.99 fof(f196,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 27.60/3.99 fof(f197,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f196])).
% 27.60/3.99 fof(f198,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f197])).
% 27.60/3.99 fof(f202,plain,(
% 27.60/3.99 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 27.60/3.99 fof(f203,plain,(
% 27.60/3.99 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f202])).
% 27.60/3.99 fof(f204,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f203])).
% 27.60/3.99 fof(f205,plain,(
% 27.60/3.99 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 27.60/3.99 fof(f206,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f205])).
% 27.60/3.99 fof(f215,plain,(
% 27.60/3.99 ![A,B,C,O,M]: ((~circle(O,A,B,C)|~midp(M,B,C))|eqangle(A,B,A,C,O,B,O,M))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 27.60/3.99 fof(f216,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~midp(X4,X2,X3)|eqangle(X1,X2,X1,X3,X0,X2,X0,X4))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f215])).
% 27.60/3.99 fof(f220,plain,(
% 27.60/3.99 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 27.60/3.99 fof(f221,plain,(
% 27.60/3.99 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f220])).
% 27.60/3.99 fof(f222,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f221])).
% 27.60/3.99 fof(f226,plain,(
% 27.60/3.99 ![A,B,C,D]: ((~cyclic(A,B,C,D)|~para(A,B,C,D))|eqangle(A,D,C,D,C,D,C,B))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 27.60/3.99 fof(f227,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|~para(X0,X1,X2,X3)|eqangle(X0,X3,X2,X3,X2,X3,X2,X1))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f226])).
% 27.60/3.99 fof(f228,plain,(
% 27.60/3.99 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 27.60/3.99 fof(f229,plain,(
% 27.60/3.99 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f228])).
% 27.60/3.99 fof(f230,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f229])).
% 27.60/3.99 fof(f231,plain,(
% 27.60/3.99 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 27.60/3.99 fof(f232,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f231])).
% 27.60/3.99 fof(f233,plain,(
% 27.60/3.99 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 27.60/3.99 fof(f234,plain,(
% 27.60/3.99 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f233])).
% 27.60/3.99 fof(f235,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f234])).
% 27.60/3.99 fof(f247,plain,(
% 27.60/3.99 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 27.60/3.99 fof(f248,plain,(
% 27.60/3.99 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f247])).
% 27.60/3.99 fof(f249,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f248])).
% 27.60/3.99 fof(f257,plain,(
% 27.60/3.99 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 27.60/3.99 fof(f258,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f257])).
% 27.60/3.99 fof(f261,plain,(
% 27.60/3.99 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 27.60/3.99 fof(f262,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f261])).
% 27.60/3.99 fof(f309,plain,(
% 27.60/3.99 ![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)))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 27.60/3.99 fof(f310,plain,(
% 27.60/3.99 ![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)))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f309])).
% 27.60/3.99 fof(f311,plain,(
% 27.60/3.99 ![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)))),
% 27.60/3.99 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 27.60/3.99 fof(f312,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f311])).
% 27.60/3.99 fof(f369,plain,(
% 27.60/3.99 (?[A,B,C,I,C1,A1,B1,P,Q,N]: (((((((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))&midp(C1,B,A))&midp(A1,C,B))&midp(B1,A,C))&midp(P,I,B))&midp(Q,C,I))&circle(N,P,A1,Q))&~eqangle(B1,A1,A1,N,N,A1,A1,C1)))),
% 27.60/3.99 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 27.60/3.99 fof(f370,plain,(
% 27.60/3.99 ?[C1,A1,B1,N]: ((?[P,Q]: ((?[C,I]: ((?[B]: ((?[A]: (((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))&midp(C1,B,A))&midp(A1,C,B))&midp(B1,A,C)))&midp(P,I,B)))&midp(Q,C,I)))&circle(N,P,A1,Q)))&~eqangle(B1,A1,A1,N,N,A1,A1,C1))),
% 27.60/3.99 inference(miniscoping,[status(thm)],[f369])).
% 27.60/3.99 fof(f371,plain,(
% 27.60/3.99 (((((((((eqangle(sK27_skl,sK29_skl,sK29_skl,sK28_skl,sK27_skl,sK29_skl,sK29_skl,sK26_skl)&eqangle(sK27_skl,sK28_skl,sK28_skl,sK26_skl,sK27_skl,sK28_skl,sK28_skl,sK29_skl))&eqangle(sK27_skl,sK26_skl,sK26_skl,sK29_skl,sK27_skl,sK26_skl,sK26_skl,sK28_skl))&midp(sK20_skl,sK28_skl,sK29_skl))&midp(sK21_skl,sK26_skl,sK28_skl))&midp(sK22_skl,sK29_skl,sK26_skl))&midp(sK24_skl,sK27_skl,sK28_skl))&midp(sK25_skl,sK26_skl,sK27_skl))&circle(sK23_skl,sK24_skl,sK21_skl,sK25_skl))&~eqangle(sK22_skl,sK21_skl,sK21_skl,sK23_skl,sK23_skl,sK21_skl,sK21_skl,sK20_skl))),
% 27.60/3.99 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(C1,sK20_skl),skolemize(A1,sK21_skl),skolemize(B1,sK22_skl),skolemize(N,sK23_skl),skolemize(P,sK24_skl),skolemize(Q,sK25_skl),skolemize(C,sK26_skl),skolemize(I,sK27_skl),skolemize(B,sK28_skl),skolemize(A,sK29_skl)],[f370])).
% 27.60/3.99 fof(f375,plain,(
% 27.60/3.99 midp(sK20_skl,sK28_skl,sK29_skl)),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f371])).
% 27.60/3.99 fof(f379,plain,(
% 27.60/3.99 midp(sK25_skl,sK26_skl,sK27_skl)),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f371])).
% 27.60/3.99 fof(f381,plain,(
% 27.60/3.99 ~eqangle(sK22_skl,sK21_skl,sK21_skl,sK23_skl,sK23_skl,sK21_skl,sK21_skl,sK20_skl)),
% 27.60/3.99 inference(cnf_transformation,[status(thm)],[f371])).
% 27.60/3.99 fof(f382,plain,(
% 27.60/3.99 midp(sK25_skl,sK27_skl,sK26_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f122,f379])).
% 27.60/3.99 fof(f386,plain,(
% 27.60/3.99 midp(sK20_skl,sK29_skl,sK28_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f122,f375])).
% 27.60/3.99 fof(f395,plain,(
% 27.60/3.99 coll(sK25_skl,sK27_skl,sK26_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f262,f382])).
% 27.60/3.99 fof(f396,plain,(
% 27.60/3.99 coll(sK25_skl,sK26_skl,sK27_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f262,f379])).
% 27.60/3.99 fof(f403,plain,(
% 27.60/3.99 coll(sK20_skl,sK29_skl,sK28_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f262,f386])).
% 27.60/3.99 fof(f404,plain,(
% 27.60/3.99 coll(sK20_skl,sK28_skl,sK29_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f262,f375])).
% 27.60/3.99 fof(f409,plain,(
% 27.60/3.99 coll(sK27_skl,sK25_skl,sK26_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f395,f100])).
% 27.60/3.99 fof(f415,plain,(
% 27.60/3.99 coll(sK26_skl,sK25_skl,sK27_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f396,f100])).
% 27.60/3.99 fof(f463,plain,(
% 27.60/3.99 coll(sK29_skl,sK20_skl,sK28_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f403,f100])).
% 27.60/3.99 fof(f469,plain,(
% 27.60/3.99 coll(sK28_skl,sK20_skl,sK29_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f404,f100])).
% 27.60/3.99 fof(f477,plain,(
% 27.60/3.99 coll(sK26_skl,sK26_skl,sK27_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f409,f103])).
% 27.60/3.99 fof(f498,plain,(
% 27.60/3.99 coll(sK27_skl,sK27_skl,sK26_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f415,f103])).
% 27.60/3.99 fof(f596,plain,(
% 27.60/3.99 coll(sK28_skl,sK28_skl,sK29_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f463,f103])).
% 27.60/3.99 fof(f608,plain,(
% 27.60/3.99 coll(sK29_skl,sK29_skl,sK28_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f469,f103])).
% 27.60/3.99 fof(f672,plain,(
% 27.60/3.99 coll(sK27_skl,sK26_skl,sK27_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f498,f98])).
% 27.60/3.99 fof(f933,plain,(
% 27.60/3.99 coll(sK29_skl,sK28_skl,sK29_skl)),
% 27.60/3.99 inference(resolution,[status(thm)],[f608,f98])).
% 27.60/3.99 fof(f2647,plain,(
% 27.60/3.99 ![X0]: (~coll(sK26_skl,sK26_skl,sK27_skl)|~coll(sK27_skl,sK26_skl,sK27_skl)|midp(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f312,f379])).
% 27.60/3.99 fof(f2663,plain,(
% 27.60/3.99 ![X0]: (~coll(sK28_skl,sK28_skl,sK29_skl)|~coll(sK29_skl,sK28_skl,sK29_skl)|midp(sK6_skl(X0,sK28_skl),sK28_skl,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f312,f375])).
% 27.60/3.99 fof(f3081,plain,(
% 27.60/3.99 ![X0]: (~coll(sK27_skl,sK26_skl,sK27_skl)|midp(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f2647,f477])).
% 27.60/3.99 fof(f3089,plain,(
% 27.60/3.99 ![X0]: (~coll(sK29_skl,sK28_skl,sK29_skl)|midp(sK6_skl(X0,sK28_skl),sK28_skl,X0))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f2663,f596])).
% 27.60/3.99 fof(f9694,plain,(
% 27.60/3.99 ![X0]: (midp(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f3081,f672])).
% 27.60/3.99 fof(f9776,plain,(
% 27.60/3.99 ![X0]: (coll(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f9694,f262])).
% 27.60/3.99 fof(f10257,plain,(
% 27.60/3.99 ![X0]: (midp(sK6_skl(X0,sK28_skl),sK28_skl,X0))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f3089,f933])).
% 27.60/3.99 fof(f10338,plain,(
% 27.60/3.99 ![X0]: (midp(sK6_skl(X0,sK28_skl),X0,sK28_skl))),
% 27.60/3.99 inference(resolution,[status(thm)],[f10257,f122])).
% 27.60/3.99 fof(f14936,plain,(
% 27.60/3.99 ![X0]: (coll(sK26_skl,sK6_skl(X0,sK26_skl),X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f9776,f100])).
% 27.60/3.99 fof(f17968,plain,(
% 27.60/3.99 ![X0]: (coll(X0,X0,sK26_skl))),
% 27.60/3.99 inference(resolution,[status(thm)],[f14936,f103])).
% 27.60/3.99 fof(f18014,plain,(
% 27.60/3.99 ![X0]: (coll(sK26_skl,sK26_skl,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f17968,f103])).
% 27.60/3.99 fof(f18167,plain,(
% 27.60/3.99 ![X0,X1]: (~coll(sK26_skl,sK26_skl,X0)|coll(X0,X1,sK26_skl))),
% 27.60/3.99 inference(resolution,[status(thm)],[f18014,f103])).
% 27.60/3.99 fof(f18179,plain,(
% 27.60/3.99 ![X0,X1]: (coll(X0,X1,sK26_skl))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f18167,f18014])).
% 27.60/3.99 fof(f18236,plain,(
% 27.60/3.99 ![X0,X1]: (coll(X0,sK26_skl,X1))),
% 27.60/3.99 inference(resolution,[status(thm)],[f18179,f98])).
% 27.60/3.99 fof(f18295,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~coll(X0,sK26_skl,X1)|coll(X1,X2,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f18236,f103])).
% 27.60/3.99 fof(f18311,plain,(
% 27.60/3.99 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f18295,f18236])).
% 27.60/3.99 fof(f18371,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 27.60/3.99 inference(backward_subsumption_resolution,[status(thm)],[f195,f18311])).
% 27.60/3.99 fof(f18372,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 27.60/3.99 inference(backward_subsumption_resolution,[status(thm)],[f258,f18311])).
% 27.60/3.99 fof(f18377,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(backward_subsumption_resolution,[status(thm)],[f312,f18311])).
% 27.60/3.99 fof(f18379,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 27.60/3.99 inference(backward_subsumption_resolution,[status(thm)],[f204,f18311])).
% 27.60/3.99 fof(f18385,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|midp(sK6_skl(X6,X1),X1,X6))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f18377,f18311])).
% 27.60/3.99 fof(f18446,plain,(
% 27.60/3.99 ![X0,X1]: (midp(sK6_skl(X0,X1),X1,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f18385,f10338])).
% 27.60/3.99 fof(f18881,plain,(
% 27.60/3.99 ![X0,X1]: (para(X0,X0,X1,X1))),
% 27.60/3.99 inference(resolution,[status(thm)],[f18446,f249])).
% 27.60/3.99 fof(f18892,plain,(
% 27.60/3.99 ![X0,X1]: (midp(sK6_skl(X0,X1),X0,X1))),
% 27.60/3.99 inference(resolution,[status(thm)],[f18446,f122])).
% 27.60/3.99 fof(f18912,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (eqangle(X0,X0,X1,X2,X3,X3,X1,X2))),
% 27.60/3.99 inference(resolution,[status(thm)],[f18881,f189])).
% 27.60/3.99 fof(f21336,plain,(
% 27.60/3.99 ![X0,X1]: (cyclic(X0,X1,X0,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f18912,f18371])).
% 27.60/3.99 fof(f21360,plain,(
% 27.60/3.99 ![X0,X1]: (cyclic(X0,X0,X1,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21336,f131])).
% 27.60/3.99 fof(f21384,plain,(
% 27.60/3.99 ![X0,X1]: (cyclic(X0,X0,X0,X1))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21360,f129])).
% 27.60/3.99 fof(f21389,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~cyclic(X0,X0,X0,X1)|cyclic(X0,X0,X1,X2))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21384,f136])).
% 27.60/3.99 fof(f21395,plain,(
% 27.60/3.99 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f21389,f21384])).
% 27.60/3.99 fof(f21414,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21395,f136])).
% 27.60/3.99 fof(f21422,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f21414,f21395])).
% 27.60/3.99 fof(f21451,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|eqangle(X0,X3,X2,X3,X2,X3,X2,X1))),
% 27.60/3.99 inference(backward_subsumption_resolution,[status(thm)],[f227,f21422])).
% 27.60/3.99 fof(f21452,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(backward_subsumption_resolution,[status(thm)],[f198,f21422])).
% 27.60/3.99 fof(f21454,plain,(
% 27.60/3.99 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 27.60/3.99 inference(backward_subsumption_resolution,[status(thm)],[f235,f21422])).
% 27.60/3.99 fof(f21456,plain,(
% 27.60/3.99 ![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))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f21452,f21422])).
% 27.60/3.99 fof(f21775,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f21456,f21422])).
% 27.60/3.99 fof(f21785,plain,(
% 27.60/3.99 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21775,f18912])).
% 27.60/3.99 fof(f21810,plain,(
% 27.60/3.99 ![X0,X1]: (midp(X0,X1,X1))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21785,f18372])).
% 27.60/3.99 fof(f21824,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21785,f232])).
% 27.60/3.99 fof(f21838,plain,(
% 27.60/3.99 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f21824,f21785])).
% 27.60/3.99 fof(f21973,plain,(
% 27.60/3.99 ![X0,X1]: (perp(X0,X1,X1,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21454,f21785])).
% 27.60/3.99 fof(f22095,plain,(
% 27.60/3.99 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21838,f114])).
% 27.60/3.99 fof(f22192,plain,(
% 27.60/3.99 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0))),
% 27.60/3.99 inference(resolution,[status(thm)],[f21973,f222])).
% 27.60/3.99 fof(f22205,plain,(
% 27.60/3.99 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 27.60/3.99 inference(forward_subsumption_resolution,[status(thm)],[f22192,f21810])).
% 27.60/3.99 fof(f22320,plain,(
% 27.60/3.99 ![X0,X1,X2,X3,X4]: (~perp(X0,X0,X1,X2)|para(X3,X4,X1,X2))),
% 27.60/3.99 inference(resolution,[status(thm)],[f22095,f117])).
% 27.60/4.02 fof(f22323,plain,(
% 27.60/4.02 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 27.60/4.02 inference(forward_subsumption_resolution,[status(thm)],[f22320,f21838])).
% 27.60/4.02 fof(f22349,plain,(
% 27.60/4.02 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f232,f22205])).
% 27.60/4.02 fof(f22373,plain,(
% 27.60/4.02 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 27.60/4.02 inference(forward_subsumption_resolution,[status(thm)],[f22349,f22205])).
% 27.60/4.02 fof(f22594,plain,(
% 27.60/4.02 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X2,X1,X2,X3))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f21451,f22323])).
% 27.60/4.02 fof(f22596,plain,(
% 27.60/4.02 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|midp(X3,X1,X4))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f18379,f22323])).
% 27.60/4.02 fof(f22599,plain,(
% 27.60/4.02 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f189,f22323])).
% 27.60/4.02 fof(f22618,plain,(
% 27.60/4.02 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X3,X1,X3,X2))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f230,f22373])).
% 27.60/4.02 fof(f22842,plain,(
% 27.60/4.02 ![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))),
% 27.60/4.02 inference(resolution,[status(thm)],[f22594,f147])).
% 27.60/4.02 fof(f22856,plain,(
% 27.60/4.02 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 27.60/4.02 inference(resolution,[status(thm)],[f22596,f18892])).
% 27.60/4.02 fof(f22879,plain,(
% 27.60/4.02 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|eqangle(X1,X2,X1,X3,X0,X2,X0,X4))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f216,f22856])).
% 27.60/4.02 fof(f22922,plain,(
% 27.60/4.02 ![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))),
% 27.60/4.02 inference(resolution,[status(thm)],[f22599,f147])).
% 27.60/4.02 fof(f22929,plain,(
% 27.60/4.02 ![X0,X1,X2]: (eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f206,f22931])).
% 27.60/4.02 fof(f22930,plain,(
% 27.60/4.02 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|circle(X0,X1,X2,X3))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f124,f22931])).
% 27.60/4.02 fof(f22931,plain,(
% 27.60/4.02 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 27.60/4.02 inference(forward_subsumption_resolution,[status(thm)],[f22618,f22856])).
% 27.60/4.02 fof(f22938,plain,(
% 27.60/4.02 ![X0,X1,X2,X3]: (circle(X0,X1,X2,X3))),
% 27.60/4.02 inference(forward_subsumption_resolution,[status(thm)],[f22930,f22931])).
% 27.60/4.02 fof(f23008,plain,(
% 27.60/4.02 ![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))),
% 27.60/4.02 inference(resolution,[status(thm)],[f22929,f147])).
% 27.60/4.02 fof(f23013,plain,(
% 27.60/4.02 ![X0,X1,X2,X3,X4]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X4))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f22879,f22938])).
% 27.60/4.02 fof(f23306,plain,(
% 27.60/4.02 ![X0,X1,X2,X3,X4,X5,X6]: (eqangle(X0,X1,X0,X2,X3,X4,X5,X6))),
% 27.60/4.02 inference(resolution,[status(thm)],[f22922,f23013])).
% 27.60/4.02 fof(f24371,plain,(
% 27.60/4.02 ![X0,X1,X2,X3,X4,X5,X6]: (eqangle(X0,X1,X2,X1,X3,X4,X5,X6))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f22842,f23306])).
% 27.60/4.02 fof(f24395,plain,(
% 27.60/4.02 ![X0,X1,X2,X3,X4,X5,X6]: (eqangle(X0,X1,X1,X2,X3,X4,X5,X6))),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f23008,f24371])).
% 27.60/4.02 fof(f24419,plain,(
% 27.60/4.02 $false),
% 27.60/4.02 inference(backward_subsumption_resolution,[status(thm)],[f381,f24395])).
% 27.60/4.02 % SZS output end CNFRefutation for theBenchmark.p
% 14.28/4.05 % Elapsed time: 3.656166 seconds
% 14.28/4.05 % CPU time: 28.635475 seconds
% 14.28/4.05 % Total memory used: 256.667 MB
% 14.28/4.05 % Net memory used: 237.279 MB
%------------------------------------------------------------------------------