%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO563+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 : n015.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 12:26:38 PM UTC 2026
% Result : Theorem 2.71s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO563+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 17:37:05 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 2.71/0.80 % Refutation found
% 2.71/0.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.71/0.80 % SZS output start CNFRefutation for theBenchmark
% 2.71/0.80 fof(f5,axiom,(
% 2.71/0.80 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f7,axiom,(
% 2.71/0.80 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f8,axiom,(
% 2.71/0.80 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f9,axiom,(
% 2.71/0.80 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f11,axiom,(
% 2.71/0.80 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f12,axiom,(
% 2.71/0.80 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f14,axiom,(
% 2.71/0.80 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f15,axiom,(
% 2.71/0.80 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f16,axiom,(
% 2.71/0.80 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f18,axiom,(
% 2.71/0.80 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f19,axiom,(
% 2.71/0.80 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(C,D,A,B,U,V,P,Q) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f21,axiom,(
% 2.71/0.80 (! [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) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f39,axiom,(
% 2.71/0.80 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f40,axiom,(
% 2.71/0.80 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f41,axiom,(
% 2.71/0.80 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f42,axiom,(
% 2.71/0.80 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f43,axiom,(
% 2.71/0.80 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f44,axiom,(
% 2.71/0.80 (! [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) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f51,axiom,(
% 2.71/0.80 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& midp(M,B,C) )=> eqangle(A,B,A,C,O,B,O,M) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f53,axiom,(
% 2.71/0.80 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f56,axiom,(
% 2.71/0.80 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f57,axiom,(
% 2.71/0.80 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f65,axiom,(
% 2.71/0.80 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f67,axiom,(
% 2.71/0.80 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f68,axiom,(
% 2.71/0.80 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f69,axiom,(
% 2.71/0.80 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f75,axiom,(
% 2.71/0.80 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& perp(P,Q,U,V) )=> perp(A,B,C,D) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f87,axiom,(
% 2.71/0.80 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f95,conjecture,(
% 2.71/0.80 (! [Q,R,P,O1,S,Y,O,X,I,NWPNT1,NWPNT2] :( ( circle(O1,Q,R,P)& circle(O1,Q,S,NWPNT1)& coll(Y,Q,S)& circle(O,Y,P,Q)& circle(O,Q,X,NWPNT2)& coll(I,R,S)& coll(I,Y,X) )=> eqangle(R,I,I,X,R,P,P,X) ) )),
% 2.71/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.71/0.80 fof(f96,negated_conjecture,(
% 2.71/0.80 ~((! [Q,R,P,O1,S,Y,O,X,I,NWPNT1,NWPNT2] :( ( circle(O1,Q,R,P)& circle(O1,Q,S,NWPNT1)& coll(Y,Q,S)& circle(O,Y,P,Q)& circle(O,Q,X,NWPNT2)& coll(I,R,S)& coll(I,Y,X) )=> eqangle(R,I,I,X,R,P,P,X) ) ))),
% 2.71/0.80 inference(negated_conjecture,[status(cth)],[f95])).
% 2.71/0.80 fof(f106,plain,(
% 2.71/0.80 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 2.71/0.80 fof(f107,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f106])).
% 2.71/0.80 fof(f111,plain,(
% 2.71/0.80 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 2.71/0.80 fof(f112,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f111])).
% 2.71/0.80 fof(f113,plain,(
% 2.71/0.80 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 2.71/0.80 fof(f114,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f113])).
% 2.71/0.80 fof(f115,plain,(
% 2.71/0.80 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 2.71/0.80 fof(f116,plain,(
% 2.71/0.80 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f115])).
% 2.71/0.80 fof(f117,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f116])).
% 2.71/0.80 fof(f121,plain,(
% 2.71/0.80 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 2.71/0.80 fof(f122,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f121])).
% 2.71/0.80 fof(f123,plain,(
% 2.71/0.80 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 2.71/0.80 fof(f124,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f123])).
% 2.71/0.80 fof(f128,plain,(
% 2.71/0.80 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 2.71/0.80 fof(f129,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f128])).
% 2.71/0.80 fof(f130,plain,(
% 2.71/0.80 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 2.71/0.80 fof(f131,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f130])).
% 2.71/0.80 fof(f132,plain,(
% 2.71/0.80 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 2.71/0.80 fof(f133,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f132])).
% 2.71/0.80 fof(f137,plain,(
% 2.71/0.80 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 2.71/0.80 fof(f138,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f137])).
% 2.71/0.80 fof(f139,plain,(
% 2.71/0.80 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 2.71/0.80 fof(f140,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X2,X3,X0,X1,X6,X7,X4,X5))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f139])).
% 2.71/0.80 fof(f143,plain,(
% 2.71/0.80 ![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))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 2.71/0.80 fof(f144,plain,(
% 2.71/0.80 ![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))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f143])).
% 2.71/0.80 fof(f184,plain,(
% 2.71/0.80 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 2.71/0.80 fof(f185,plain,(
% 2.71/0.80 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f184])).
% 2.71/0.80 fof(f186,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f185])).
% 2.71/0.80 fof(f187,plain,(
% 2.71/0.80 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 2.71/0.80 fof(f188,plain,(
% 2.71/0.80 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f187])).
% 2.71/0.80 fof(f189,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f188])).
% 2.71/0.80 fof(f190,plain,(
% 2.71/0.80 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 2.71/0.80 fof(f191,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f190])).
% 2.71/0.80 fof(f192,plain,(
% 2.71/0.80 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 2.71/0.80 fof(f193,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f192])).
% 2.71/0.80 fof(f194,plain,(
% 2.71/0.80 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 2.71/0.80 fof(f195,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f194])).
% 2.71/0.80 fof(f196,plain,(
% 2.71/0.80 ![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))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 2.71/0.80 fof(f197,plain,(
% 2.71/0.80 ![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))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f196])).
% 2.71/0.80 fof(f198,plain,(
% 2.71/0.80 ![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))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f197])).
% 2.71/0.80 fof(f215,plain,(
% 2.71/0.80 ![A,B,C,O,M]: ((~circle(O,A,B,C)|~midp(M,B,C))|eqangle(A,B,A,C,O,B,O,M))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 2.71/0.80 fof(f216,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~midp(X4,X2,X3)|eqangle(X1,X2,X1,X3,X0,X2,X0,X4))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f215])).
% 2.71/0.80 fof(f220,plain,(
% 2.71/0.80 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 2.71/0.80 fof(f221,plain,(
% 2.71/0.80 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f220])).
% 2.71/0.80 fof(f222,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f221])).
% 2.71/0.80 fof(f228,plain,(
% 2.71/0.80 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 2.71/0.80 fof(f229,plain,(
% 2.71/0.80 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f228])).
% 2.71/0.80 fof(f230,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f229])).
% 2.71/0.80 fof(f231,plain,(
% 2.71/0.80 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 2.71/0.80 fof(f232,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f231])).
% 2.71/0.80 fof(f250,plain,(
% 2.71/0.80 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 2.71/0.80 fof(f251,plain,(
% 2.71/0.80 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f250])).
% 2.71/0.80 fof(f252,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f251])).
% 2.71/0.80 fof(f255,plain,(
% 2.71/0.80 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 2.71/0.80 fof(f256,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f255])).
% 2.71/0.80 fof(f257,plain,(
% 2.71/0.80 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 2.71/0.80 fof(f258,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f257])).
% 2.71/0.80 fof(f259,plain,(
% 2.71/0.80 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 2.71/0.80 fof(f260,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f259])).
% 2.71/0.80 fof(f272,plain,(
% 2.71/0.80 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f75])).
% 2.71/0.80 fof(f273,plain,(
% 2.71/0.80 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V)))|perp(A,B,C,D))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f272])).
% 2.71/0.80 fof(f274,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~perp(X4,X5,X6,X7)|perp(X0,X1,X2,X3))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f273])).
% 2.71/0.80 fof(f331,plain,(
% 2.71/0.80 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 2.71/0.80 fof(f332,plain,(
% 2.71/0.80 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f331])).
% 2.71/0.80 fof(f333,plain,(
% 2.71/0.80 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 2.71/0.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 2.71/0.80 fof(f334,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f333])).
% 2.71/0.80 fof(f369,plain,(
% 2.71/0.80 (?[Q,R,P,O1,S,Y,O,X,I,NWPNT1,NWPNT2]: (((((((circle(O1,Q,R,P)&circle(O1,Q,S,NWPNT1))&coll(Y,Q,S))&circle(O,Y,P,Q))&circle(O,Q,X,NWPNT2))&coll(I,R,S))&coll(I,Y,X))&~eqangle(R,I,I,X,R,P,P,X)))),
% 2.71/0.80 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 2.71/0.80 fof(f370,plain,(
% 2.71/0.80 ?[R,P,X,I]: ((?[Y]: ((?[S]: ((?[Q,O]: ((((?[O1]: (circle(O1,Q,R,P)&(?[NWPNT1]: circle(O1,Q,S,NWPNT1))))&coll(Y,Q,S))&circle(O,Y,P,Q))&(?[NWPNT2]: circle(O,Q,X,NWPNT2))))&coll(I,R,S)))&coll(I,Y,X)))&~eqangle(R,I,I,X,R,P,P,X))),
% 2.71/0.80 inference(miniscoping,[status(thm)],[f369])).
% 2.71/0.80 fof(f371,plain,(
% 2.71/0.80 (((((((circle(sK28_skl,sK26_skl,sK20_skl,sK21_skl)&circle(sK28_skl,sK26_skl,sK25_skl,sK29_skl))&coll(sK24_skl,sK26_skl,sK25_skl))&circle(sK27_skl,sK24_skl,sK21_skl,sK26_skl))&circle(sK27_skl,sK26_skl,sK22_skl,sK30_skl))&coll(sK23_skl,sK20_skl,sK25_skl))&coll(sK23_skl,sK24_skl,sK22_skl))&~eqangle(sK20_skl,sK23_skl,sK23_skl,sK22_skl,sK20_skl,sK21_skl,sK21_skl,sK22_skl))),
% 2.71/0.80 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]),skolemize(R,sK20_skl),skolemize(P,sK21_skl),skolemize(X,sK22_skl),skolemize(I,sK23_skl),skolemize(Y,sK24_skl),skolemize(S,sK25_skl),skolemize(Q,sK26_skl),skolemize(O,sK27_skl),skolemize(O1,sK28_skl),skolemize(NWPNT1,sK29_skl),skolemize(NWPNT2,sK30_skl)],[f370])).
% 2.71/0.80 fof(f376,plain,(
% 2.71/0.80 circle(sK27_skl,sK26_skl,sK22_skl,sK30_skl)),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f371])).
% 2.71/0.80 fof(f379,plain,(
% 2.71/0.80 ~eqangle(sK20_skl,sK23_skl,sK23_skl,sK22_skl,sK20_skl,sK21_skl,sK21_skl,sK22_skl)),
% 2.71/0.80 inference(cnf_transformation,[status(thm)],[f371])).
% 2.71/0.80 fof(f380,plain,(
% 2.71/0.80 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f260,f122])).
% 2.71/0.80 fof(f382,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~perp(X4,X5,X2,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f117,f114])).
% 2.71/0.80 fof(f385,plain,(
% 2.71/0.80 ~eqangle(sK23_skl,sK22_skl,sK20_skl,sK23_skl,sK21_skl,sK22_skl,sK20_skl,sK21_skl)),
% 2.71/0.80 inference(resolution,[status(thm)],[f379,f140])).
% 2.71/0.80 fof(f403,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X4,X5,X0,X1,X6,X7,X2,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f144,f140])).
% 2.71/0.80 fof(f404,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X1,X0,X4,X5,X2,X3,X6,X7))),
% 2.71/0.80 inference(resolution,[status(thm)],[f144,f138])).
% 2.71/0.80 fof(f410,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X5,X4,X0,X1,X6,X7,X2,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f403,f138])).
% 2.71/0.80 fof(f415,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~perp(X4,X5,sK11_skl(X0,X1),X1)|para(X4,X5,X1,X0))),
% 2.71/0.80 inference(resolution,[status(thm)],[f334,f117])).
% 2.71/0.80 fof(f416,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X2,X3)|~eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f186,f140])).
% 2.71/0.80 fof(f417,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X2,X3)|~eqangle(X1,X0,X4,X5,X2,X3,X4,X5))),
% 2.71/0.80 inference(resolution,[status(thm)],[f186,f138])).
% 2.71/0.80 fof(f420,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X2,X3)|~eqangle(X4,X5,X1,X0,X4,X5,X2,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f417,f140])).
% 2.71/0.80 fof(f436,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X4,X5,X1,X0,X6,X7,X2,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f404,f140])).
% 2.71/0.80 fof(f442,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X0,X1,X5,X4,X2,X3,X6,X7))),
% 2.71/0.80 inference(resolution,[status(thm)],[f410,f140])).
% 2.71/0.80 fof(f445,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X5,X4,X1,X0,X6,X7,X2,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f436,f138])).
% 2.71/0.80 fof(f448,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|~midp(X4,X3,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f216,f122])).
% 2.71/0.80 fof(f450,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~cyclic(X2,X1,X0,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f191,f133])).
% 2.71/0.80 fof(f457,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~cyclic(X2,X0,X1,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f450,f131])).
% 2.71/0.80 fof(f472,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~cyclic(X2,X0,X3,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f457,f129])).
% 2.71/0.80 fof(f486,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X1,X0,X5,X4,X2,X3,X6,X7))),
% 2.71/0.80 inference(resolution,[status(thm)],[f442,f138])).
% 2.71/0.80 fof(f506,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~perp(X0,X1,X2,X3)|perp(X4,X5,X6,X7)|~eqangle(X6,X7,X4,X5,X2,X3,X0,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f274,f140])).
% 2.71/0.80 fof(f526,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~cyclic(X2,X3,X0,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f472,f131])).
% 2.71/0.80 fof(f549,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~cyclic(X3,X2,X0,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f526,f133])).
% 2.71/0.80 fof(f623,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|cong(X0,X3,X1,X3)|~midp(X3,X2,X0))),
% 2.71/0.80 inference(resolution,[status(thm)],[f222,f122])).
% 2.71/0.80 fof(f631,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (coll(X0,X1,X2)|cyclic(X2,X3,X0,X1)|~eqangle(X0,X3,X0,X2,X1,X3,X1,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f193,f140])).
% 2.71/0.80 fof(f633,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|cyclic(X3,X2,X0,X1)|~eqangle(X0,X2,X0,X3,X1,X2,X1,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f195,f140])).
% 2.71/0.80 fof(f653,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (coll(X0,X1,X2)|cyclic(X2,X3,X0,X1)|~eqangle(X3,X0,X0,X2,X1,X3,X1,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f631,f138])).
% 2.71/0.80 fof(f657,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|cyclic(X3,X2,X0,X1)|~eqangle(X2,X0,X0,X3,X1,X2,X1,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f633,f138])).
% 2.71/0.80 fof(f660,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (coll(X0,X1,X2)|cyclic(X2,X3,X0,X1)|~eqangle(X0,X2,X3,X0,X1,X2,X1,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f653,f140])).
% 2.71/0.80 fof(f664,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|cyclic(X3,X2,X0,X1)|~eqangle(X0,X3,X2,X0,X1,X3,X1,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f657,f140])).
% 2.71/0.80 fof(f675,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~perp(X4,X5,X3,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f382,f112])).
% 2.71/0.80 fof(f696,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~perp(X3,X2,X4,X5))),
% 2.71/0.80 inference(resolution,[status(thm)],[f675,f114])).
% 2.71/0.80 fof(f723,plain,(
% 2.71/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~perp(X3,X2,X5,X4))),
% 2.71/0.80 inference(resolution,[status(thm)],[f696,f112])).
% 2.71/0.80 fof(f843,plain,(
% 2.71/0.80 ![X0,X1]: (~perp(X0,X1,sK11_skl(sK27_skl,sK26_skl),sK26_skl)|para(X0,X1,sK26_skl,sK27_skl))),
% 2.71/0.80 inference(resolution,[status(thm)],[f415,f376])).
% 2.71/0.80 fof(f849,plain,(
% 2.71/0.80 ![X0,X1]: (para(X0,X1,sK26_skl,sK27_skl)|~perp(sK11_skl(sK27_skl,sK26_skl),sK26_skl,X0,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f843,f114])).
% 2.71/0.80 fof(f862,plain,(
% 2.71/0.80 ![X0,X1]: (para(sK26_skl,sK27_skl,sK26_skl,sK27_skl)|~circle(sK27_skl,sK26_skl,X0,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f849,f334])).
% 2.71/0.80 fof(f867,plain,(
% 2.71/0.80 para(sK26_skl,sK27_skl,sK26_skl,sK27_skl)),
% 2.71/0.80 inference(resolution,[status(thm)],[f862,f376])).
% 2.71/0.80 fof(f870,plain,(
% 2.71/0.80 ![X0,X1]: (eqangle(sK26_skl,sK27_skl,X0,X1,sK26_skl,sK27_skl,X0,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f867,f189])).
% 2.71/0.80 fof(f937,plain,(
% 2.71/0.80 ![X0,X1]: (para(X0,X1,X1,X0))),
% 2.71/0.80 inference(resolution,[status(thm)],[f870,f420])).
% 2.71/0.80 fof(f939,plain,(
% 2.71/0.80 ![X0,X1]: (para(X0,X1,X0,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f870,f416])).
% 2.71/0.80 fof(f949,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f937,f189])).
% 2.71/0.80 fof(f966,plain,(
% 2.71/0.80 ![X0,X1]: (coll(X0,X1,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f939,f256])).
% 2.71/0.80 fof(f1009,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X3,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f949,f486])).
% 2.71/0.80 fof(f1012,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X2,X3))),
% 2.71/0.80 inference(resolution,[status(thm)],[f949,f445])).
% 2.71/0.80 fof(f1147,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1009,f198])).
% 2.71/0.80 fof(f1200,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2))),
% 2.71/0.80 inference(duplicate_literals_removal,[status(thm)],[f1147])).
% 2.71/0.80 fof(f1343,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1012,f664])).
% 2.71/0.80 fof(f1345,plain,(
% 2.71/0.80 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1012,f660])).
% 2.71/0.80 fof(f1405,plain,(
% 2.71/0.80 ![X0,X1]: (cong(X0,X0,X1,X1))),
% 2.71/0.80 inference(backward_subsumption_resolution,[status(thm)],[f1200,f1406])).
% 2.71/0.80 fof(f1406,plain,(
% 2.71/0.80 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 2.71/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1345,f1343])).
% 2.71/0.80 fof(f1422,plain,(
% 2.71/0.80 ![X0,X1,X2]: (eqangle(X0,X1,X0,X2,X2,X1,X2,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1406,f549])).
% 2.71/0.80 fof(f1453,plain,(
% 2.71/0.80 ![X0,X1]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X0))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1405,f232])).
% 2.71/0.80 fof(f1454,plain,(
% 2.71/0.80 ![X0]: (~coll(X0,X0,X0)|midp(X0,X0,X0))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1405,f258])).
% 2.71/0.80 fof(f1465,plain,(
% 2.71/0.80 ![X0]: (midp(X0,X0,X0))),
% 2.71/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1454,f966])).
% 2.71/0.80 fof(f1466,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|~para(X0,X2,X0,X1)|midp(X0,X1,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1465,f252])).
% 2.71/0.80 fof(f1479,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|midp(X0,X2,X1))),
% 2.71/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1466,f107])).
% 2.71/0.80 fof(f1735,plain,(
% 2.71/0.80 ![X0,X1,X2]: (eqangle(X0,X1,X2,X0,X1,X2,X2,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1422,f404])).
% 2.71/0.80 fof(f2567,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~perp(X0,X0,X1,X0)|perp(X0,X2,X2,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1735,f506])).
% 2.71/0.80 fof(f3945,plain,(
% 2.71/0.80 ![X0,X1]: (midp(X0,X1,X1))),
% 2.71/0.80 inference(resolution,[status(thm)],[f1479,f939])).
% 2.71/0.80 fof(f3947,plain,(
% 2.71/0.80 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X2)|~para(X0,X2,X0,X1)|midp(X3,X1,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f3945,f252])).
% 2.71/0.80 fof(f3949,plain,(
% 2.71/0.80 ![X0,X1,X2]: (~perp(X0,X1,X1,X0)|cong(X0,X2,X1,X2))),
% 2.71/0.80 inference(resolution,[status(thm)],[f3945,f623])).
% 3.02/0.81 fof(f3958,plain,(
% 3.02/0.81 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 3.02/0.81 inference(resolution,[status(thm)],[f3945,f380])).
% 3.02/0.81 fof(f3960,plain,(
% 3.02/0.81 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X2)|midp(X3,X2,X1))),
% 3.02/0.81 inference(forward_subsumption_resolution,[status(thm)],[f3947,f107])).
% 3.02/0.81 fof(f3962,plain,(
% 3.02/0.81 ![X0,X1]: (perp(X0,X0,X1,X0))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f1453,f3958])).
% 3.02/0.81 fof(f3964,plain,(
% 3.02/0.81 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f2567,f3962])).
% 3.02/0.81 fof(f3991,plain,(
% 3.02/0.81 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f3949,f3964])).
% 3.02/0.81 fof(f4033,plain,(
% 3.02/0.81 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f232,f3991])).
% 3.02/0.81 fof(f4057,plain,(
% 3.02/0.81 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X2,X3)|~perp(X4,X5,X3,X2))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f723,f4129])).
% 3.02/0.81 fof(f4065,plain,(
% 3.02/0.81 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X3,X1,X3,X2))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f230,f4129])).
% 3.02/0.81 fof(f4129,plain,(
% 3.02/0.81 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 3.02/0.81 inference(forward_subsumption_resolution,[status(thm)],[f4033,f3991])).
% 3.02/0.81 fof(f4138,plain,(
% 3.02/0.81 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f3960,f4145])).
% 3.02/0.81 fof(f4145,plain,(
% 3.02/0.81 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 3.02/0.81 inference(forward_subsumption_resolution,[status(thm)],[f4057,f4129])).
% 3.02/0.81 fof(f4176,plain,(
% 3.02/0.81 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|eqangle(X1,X2,X1,X3,X0,X2,X0,X4))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f448,f4138])).
% 3.02/0.81 fof(f4178,plain,(
% 3.02/0.81 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f4065,f4138])).
% 3.02/0.81 fof(f4185,plain,(
% 3.02/0.81 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|circle(X0,X1,X3,X2))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f124,f4178])).
% 3.02/0.81 fof(f4191,plain,(
% 3.02/0.81 ![X0,X1,X2,X3,X4]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X4))),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f4176,f4193])).
% 3.02/0.81 fof(f4193,plain,(
% 3.02/0.81 ![X0,X1,X2,X3]: (circle(X0,X1,X2,X3))),
% 3.02/0.81 inference(forward_subsumption_resolution,[status(thm)],[f4185,f4178])).
% 3.02/0.81 fof(f4305,plain,(
% 3.02/0.81 ![X0,X1,X2,X3,X4]: (eqangle(X0,X1,X2,X0,X3,X1,X2,X4))),
% 3.02/0.81 inference(resolution,[status(thm)],[f4191,f486])).
% 3.02/0.81 fof(f4323,plain,(
% 3.02/0.81 $false),
% 3.02/0.81 inference(backward_subsumption_resolution,[status(thm)],[f385,f4305])).
% 3.02/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 3.02/0.84 % Elapsed time: 0.462622 seconds
% 3.02/0.84 % CPU time: 3.270432 seconds
% 3.02/0.84 % Total memory used: 114.542 MB
% 3.02/0.84 % Net memory used: 111.214 MB
%------------------------------------------------------------------------------