%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO651+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 : n011.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 12:26:47 PM UTC 2026
% Result : Theorem 30.13s 4.28s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO651+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
% 0.09/0.35 % Computer : n011.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 18:13:41 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 30.13/4.28 % Refutation found
% 30.13/4.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 30.13/4.28 % SZS output start CNFRefutation for theBenchmark
% 30.13/4.28 fof(f1,axiom,(
% 30.13/4.28 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 30.13/4.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.28 fof(f2,axiom,(
% 30.13/4.28 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 30.13/4.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.28 fof(f3,axiom,(
% 30.13/4.28 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 30.13/4.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.28 fof(f4,axiom,(
% 30.13/4.28 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 30.13/4.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.28 fof(f5,axiom,(
% 30.13/4.28 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 30.13/4.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.28 fof(f8,axiom,(
% 30.13/4.28 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 30.13/4.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.28 fof(f9,axiom,(
% 30.13/4.28 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 30.13/4.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f11,axiom,(
% 30.13/4.29 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f14,axiom,(
% 30.13/4.29 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f15,axiom,(
% 30.13/4.29 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f17,axiom,(
% 30.13/4.29 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f23,axiom,(
% 30.13/4.29 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f25,axiom,(
% 30.13/4.29 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f40,axiom,(
% 30.13/4.29 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f41,axiom,(
% 30.13/4.29 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f43,axiom,(
% 30.13/4.29 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f44,axiom,(
% 30.13/4.29 (! [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) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f52,axiom,(
% 30.13/4.29 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& coll(M,B,C)& eqangle(A,B,A,C,O,B,O,M) )=> midp(M,B,C) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f53,axiom,(
% 30.13/4.29 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f56,axiom,(
% 30.13/4.29 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f57,axiom,(
% 30.13/4.29 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f58,axiom,(
% 30.13/4.29 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f64,axiom,(
% 30.13/4.29 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f65,axiom,(
% 30.13/4.29 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f67,axiom,(
% 30.13/4.29 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f68,axiom,(
% 30.13/4.29 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f83,axiom,(
% 30.13/4.29 (! [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) ) ))),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f90,axiom,(
% 30.13/4.29 (! [A,B,C,D] :(? [O] :( ( perp(A,C,C,B)& cyclic(A,B,C,D) )=> circle(O,A,B,C) ) ))),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f95,conjecture,(
% 30.13/4.29 (! [A,B,C,D,E,F,MIDPNT1,MIDPNT2,MIDPNT3] :( ( coll(D,A,B)& eqangle(A,C,C,D,D,C,C,B)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,E)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,E)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,E)& perp(C,E,C,F)& para(A,C,F,D) )=> cong(C,F,D,B) ) )),
% 30.13/4.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.13/4.29 fof(f96,negated_conjecture,(
% 30.13/4.29 ~((! [A,B,C,D,E,F,MIDPNT1,MIDPNT2,MIDPNT3] :( ( coll(D,A,B)& eqangle(A,C,C,D,D,C,C,B)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,E)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,E)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,E)& perp(C,E,C,F)& para(A,C,F,D) )=> cong(C,F,D,B) ) ))),
% 30.13/4.29 inference(negated_conjecture,[status(cth)],[f95])).
% 30.13/4.29 fof(f97,plain,(
% 30.13/4.29 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 30.13/4.29 fof(f98,plain,(
% 30.13/4.29 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f97])).
% 30.13/4.29 fof(f99,plain,(
% 30.13/4.29 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 30.13/4.29 fof(f100,plain,(
% 30.13/4.29 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f99])).
% 30.13/4.29 fof(f101,plain,(
% 30.13/4.29 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 30.13/4.29 fof(f102,plain,(
% 30.13/4.29 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f101])).
% 30.13/4.29 fof(f103,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f102])).
% 30.13/4.29 fof(f104,plain,(
% 30.13/4.29 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 30.13/4.29 fof(f105,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f104])).
% 30.13/4.29 fof(f106,plain,(
% 30.13/4.29 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 30.13/4.29 fof(f107,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f106])).
% 30.13/4.29 fof(f113,plain,(
% 30.13/4.29 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 30.13/4.29 fof(f114,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f113])).
% 30.13/4.29 fof(f115,plain,(
% 30.13/4.29 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 30.13/4.29 fof(f116,plain,(
% 30.13/4.29 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f115])).
% 30.13/4.29 fof(f117,plain,(
% 30.13/4.29 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f116])).
% 30.13/4.29 fof(f121,plain,(
% 30.13/4.29 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 30.13/4.29 fof(f122,plain,(
% 30.13/4.29 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f121])).
% 30.13/4.29 fof(f128,plain,(
% 30.13/4.29 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 30.13/4.29 fof(f129,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f128])).
% 30.13/4.29 fof(f130,plain,(
% 30.13/4.29 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 30.13/4.29 fof(f131,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f130])).
% 30.13/4.29 fof(f134,plain,(
% 30.13/4.29 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 30.13/4.29 fof(f135,plain,(
% 30.13/4.29 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f134])).
% 30.13/4.29 fof(f136,plain,(
% 30.13/4.29 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f135])).
% 30.13/4.29 fof(f148,plain,(
% 30.13/4.29 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 30.13/4.29 fof(f149,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f148])).
% 30.13/4.29 fof(f152,plain,(
% 30.13/4.29 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 30.13/4.29 fof(f153,plain,(
% 30.13/4.29 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f152])).
% 30.13/4.29 fof(f154,plain,(
% 30.13/4.29 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f153])).
% 30.13/4.29 fof(f187,plain,(
% 30.13/4.29 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 30.13/4.29 fof(f188,plain,(
% 30.13/4.29 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f187])).
% 30.13/4.29 fof(f189,plain,(
% 30.13/4.29 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f188])).
% 30.13/4.29 fof(f190,plain,(
% 30.13/4.29 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 30.13/4.29 fof(f191,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f190])).
% 30.13/4.29 fof(f194,plain,(
% 30.13/4.29 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 30.13/4.29 fof(f195,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f194])).
% 30.13/4.29 fof(f196,plain,(
% 30.13/4.29 ![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))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 30.13/4.29 fof(f197,plain,(
% 30.13/4.29 ![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))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f196])).
% 30.13/4.29 fof(f198,plain,(
% 30.13/4.29 ![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))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f197])).
% 30.13/4.29 fof(f217,plain,(
% 30.13/4.29 ![A,B,C,O,M]: (((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M))|midp(M,B,C))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 30.13/4.29 fof(f218,plain,(
% 30.13/4.29 ![B,C,M]: ((![A,O]: ((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M)))|midp(M,B,C))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f217])).
% 30.13/4.29 fof(f219,plain,(
% 30.13/4.29 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~coll(X4,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f218])).
% 30.13/4.29 fof(f220,plain,(
% 30.13/4.29 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 30.13/4.29 fof(f221,plain,(
% 30.13/4.29 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f220])).
% 30.13/4.29 fof(f222,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f221])).
% 30.13/4.29 fof(f228,plain,(
% 30.13/4.29 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 30.13/4.29 fof(f229,plain,(
% 30.13/4.29 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f228])).
% 30.13/4.29 fof(f230,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f229])).
% 30.13/4.29 fof(f231,plain,(
% 30.13/4.29 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 30.13/4.29 fof(f232,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f231])).
% 30.13/4.29 fof(f233,plain,(
% 30.13/4.29 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 30.13/4.29 fof(f234,plain,(
% 30.13/4.29 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f233])).
% 30.13/4.29 fof(f235,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f234])).
% 30.13/4.29 fof(f247,plain,(
% 30.13/4.29 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 30.13/4.29 fof(f248,plain,(
% 30.13/4.29 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f247])).
% 30.13/4.29 fof(f249,plain,(
% 30.13/4.29 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f248])).
% 30.13/4.29 fof(f250,plain,(
% 30.13/4.29 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 30.13/4.29 fof(f251,plain,(
% 30.13/4.29 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f250])).
% 30.13/4.29 fof(f252,plain,(
% 30.13/4.29 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f251])).
% 30.13/4.29 fof(f255,plain,(
% 30.13/4.29 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 30.13/4.29 fof(f256,plain,(
% 30.13/4.29 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f255])).
% 30.13/4.29 fof(f257,plain,(
% 30.13/4.29 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 30.13/4.29 fof(f258,plain,(
% 30.13/4.29 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f257])).
% 30.13/4.29 fof(f309,plain,(
% 30.13/4.29 ![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)))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 30.13/4.29 fof(f310,plain,(
% 30.13/4.29 ![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)))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f309])).
% 30.13/4.29 fof(f311,plain,(
% 30.13/4.29 ![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)))),
% 30.13/4.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 30.13/4.29 fof(f312,plain,(
% 30.13/4.29 ![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))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f311])).
% 30.13/4.29 fof(f346,plain,(
% 30.13/4.29 ![A,B,C,D]: (?[O]: ((~perp(A,C,C,B)|~cyclic(A,B,C,D))|circle(O,A,B,C)))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f90])).
% 30.13/4.29 fof(f347,plain,(
% 30.13/4.29 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|(?[O]: circle(O,A,B,C)))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f346])).
% 30.13/4.29 fof(f348,plain,(
% 30.13/4.29 ![A,B,C]: ((~perp(A,C,C,B)|(![D]: ~cyclic(A,B,C,D)))|circle(sK15_skl(C,B,A),A,B,C))),
% 30.13/4.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(O,sK15_skl(C,B,A))],[f347])).
% 30.13/4.29 fof(f349,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~cyclic(X0,X2,X1,X3)|circle(sK15_skl(X1,X2,X0),X0,X2,X1))),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f348])).
% 30.13/4.29 fof(f369,plain,(
% 30.13/4.29 (?[A,B,C,D,E,F,MIDPNT1,MIDPNT2,MIDPNT3]: ((((((((((coll(D,A,B)&eqangle(A,C,C,D,D,C,C,B))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,E))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,E))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,E))&perp(C,E,C,F))¶(A,C,F,D))&~cong(C,F,D,B)))),
% 30.13/4.29 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 30.13/4.29 fof(f370,plain,(
% 30.13/4.29 ?[B,C,D,F]: ((?[A]: ((?[E]: ((?[MIDPNT3]: (((?[MIDPNT2]: (((?[MIDPNT1]: (((coll(D,A,B)&eqangle(A,C,C,D,D,C,C,B))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,E)))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,E)))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,E)))&perp(C,E,C,F)))¶(A,C,F,D)))&~cong(C,F,D,B))),
% 30.13/4.29 inference(miniscoping,[status(thm)],[f369])).
% 30.13/4.29 fof(f371,plain,(
% 30.13/4.29 ((((((((((coll(sK22_skl,sK24_skl,sK20_skl)&eqangle(sK24_skl,sK21_skl,sK21_skl,sK22_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl))&midp(sK28_skl,sK24_skl,sK20_skl))&perp(sK24_skl,sK20_skl,sK28_skl,sK25_skl))&midp(sK27_skl,sK24_skl,sK21_skl))&perp(sK24_skl,sK21_skl,sK27_skl,sK25_skl))&midp(sK26_skl,sK20_skl,sK21_skl))&perp(sK20_skl,sK21_skl,sK26_skl,sK25_skl))&perp(sK21_skl,sK25_skl,sK21_skl,sK23_skl))¶(sK24_skl,sK21_skl,sK23_skl,sK22_skl))&~cong(sK21_skl,sK23_skl,sK22_skl,sK20_skl))),
% 30.13/4.29 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]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(D,sK22_skl),skolemize(F,sK23_skl),skolemize(A,sK24_skl),skolemize(E,sK25_skl),skolemize(MIDPNT3,sK26_skl),skolemize(MIDPNT2,sK27_skl),skolemize(MIDPNT1,sK28_skl)],[f370])).
% 30.13/4.29 fof(f372,plain,(
% 30.13/4.29 coll(sK22_skl,sK24_skl,sK20_skl)),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f371])).
% 30.13/4.29 fof(f374,plain,(
% 30.13/4.29 midp(sK28_skl,sK24_skl,sK20_skl)),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f371])).
% 30.13/4.29 fof(f375,plain,(
% 30.13/4.29 perp(sK24_skl,sK20_skl,sK28_skl,sK25_skl)),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f371])).
% 30.13/4.29 fof(f382,plain,(
% 30.13/4.29 ~cong(sK21_skl,sK23_skl,sK22_skl,sK20_skl)),
% 30.13/4.29 inference(cnf_transformation,[status(thm)],[f371])).
% 30.13/4.29 fof(f383,plain,(
% 30.13/4.29 coll(sK22_skl,sK20_skl,sK24_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f98,f372])).
% 30.13/4.29 fof(f384,plain,(
% 30.13/4.29 coll(sK24_skl,sK22_skl,sK20_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f100,f372])).
% 30.13/4.29 fof(f386,plain,(
% 30.13/4.29 ![X0]: (~coll(sK22_skl,sK20_skl,X0)|coll(sK24_skl,X0,sK22_skl))),
% 30.13/4.29 inference(resolution,[status(thm)],[f383,f103])).
% 30.13/4.29 fof(f389,plain,(
% 30.13/4.29 ![X0]: (~coll(sK24_skl,sK22_skl,X0)|coll(sK20_skl,X0,sK24_skl))),
% 30.13/4.29 inference(resolution,[status(thm)],[f384,f103])).
% 30.13/4.29 fof(f398,plain,(
% 30.13/4.29 ![X0,X1]: (~perp(sK28_skl,sK25_skl,X0,X1)|para(sK24_skl,sK20_skl,X0,X1))),
% 30.13/4.29 inference(resolution,[status(thm)],[f375,f117])).
% 30.13/4.29 fof(f399,plain,(
% 30.13/4.29 perp(sK28_skl,sK25_skl,sK24_skl,sK20_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f375,f114])).
% 30.13/4.29 fof(f409,plain,(
% 30.13/4.29 midp(sK28_skl,sK20_skl,sK24_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f122,f374])).
% 30.13/4.29 fof(f475,plain,(
% 30.13/4.29 para(sK24_skl,sK20_skl,sK24_skl,sK20_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f399,f398])).
% 30.13/4.29 fof(f947,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~coll(X1,sK24_skl,sK20_skl)|~coll(X2,sK24_skl,sK20_skl)|midp(sK6_skl(X3,sK24_skl),sK24_skl,X3))),
% 30.13/4.29 inference(resolution,[status(thm)],[f312,f374])).
% 30.13/4.29 fof(f969,definition,(
% 30.13/4.29 ![X3]: (sQ74_spl <=> (midp(sK6_skl(X3,sK24_skl),sK24_skl,X3)))),
% 30.13/4.29 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 30.13/4.29 fof(f970,plain,(
% 30.13/4.29 ![X0]: (midp(sK6_skl(X0,sK24_skl),sK24_skl,X0)|~sQ74_spl)),
% 30.13/4.29 inference(component_clause,[status(thm)],[f969])).
% 30.13/4.29 fof(f977,definition,(
% 30.13/4.29 ![X0,X1,X2]: (sQ76_spl <=> (~midp(X0,X1,X2)|~coll(X1,sK24_skl,sK20_skl)|~coll(X2,sK24_skl,sK20_skl)))),
% 30.13/4.29 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 30.13/4.29 fof(f978,plain,(
% 30.13/4.29 ![X0,X1,X2]: (~midp(X0,X1,X2)|~coll(X1,sK24_skl,sK20_skl)|~coll(X2,sK24_skl,sK20_skl)|~sQ76_spl)),
% 30.13/4.29 inference(component_clause,[status(thm)],[f977])).
% 30.13/4.29 fof(f980,plain,(
% 30.13/4.29 sQ76_spl|sQ74_spl),
% 30.13/4.29 inference(split_clause,[status(thm)],[f947,f977,f969])).
% 30.13/4.29 fof(f988,plain,(
% 30.13/4.29 coll(sK24_skl,sK20_skl,sK20_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f475,f256])).
% 30.13/4.29 fof(f989,plain,(
% 30.13/4.29 ![X0,X1]: (eqangle(sK24_skl,sK20_skl,X0,X1,sK24_skl,sK20_skl,X0,X1))),
% 30.13/4.29 inference(resolution,[status(thm)],[f475,f189])).
% 30.13/4.29 fof(f999,plain,(
% 30.13/4.29 coll(sK20_skl,sK24_skl,sK20_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f988,f100])).
% 30.13/4.29 fof(f1982,plain,(
% 30.13/4.29 ![X0,X1,X2]: (~midp(sK6_skl(X0,sK24_skl),X1,X2)|para(sK24_skl,X1,X0,X2)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f970,f249])).
% 30.13/4.29 fof(f1986,plain,(
% 30.13/4.29 ![X0]: (midp(sK6_skl(X0,sK24_skl),X0,sK24_skl)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f970,f122])).
% 30.13/4.29 fof(f2037,plain,(
% 30.13/4.29 ~coll(sK20_skl,sK24_skl,sK20_skl)|~coll(sK24_skl,sK24_skl,sK20_skl)|~sQ76_spl),
% 30.13/4.29 inference(resolution,[status(thm)],[f978,f409])).
% 30.13/4.29 fof(f2039,definition,(
% 30.13/4.29 sQ228_spl <=> (coll(sK20_skl,sK24_skl,sK20_skl))),
% 30.13/4.29 introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition])).
% 30.13/4.29 fof(f2041,plain,(
% 30.13/4.29 ~coll(sK20_skl,sK24_skl,sK20_skl)|sQ228_spl),
% 30.13/4.29 inference(component_clause,[status(thm)],[f2039])).
% 30.13/4.29 fof(f2046,definition,(
% 30.13/4.29 sQ230_spl <=> (coll(sK24_skl,sK24_skl,sK20_skl))),
% 30.13/4.29 introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition])).
% 30.13/4.29 fof(f2048,plain,(
% 30.13/4.29 ~coll(sK24_skl,sK24_skl,sK20_skl)|sQ230_spl),
% 30.13/4.29 inference(component_clause,[status(thm)],[f2046])).
% 30.13/4.29 fof(f2057,plain,(
% 30.13/4.29 ~sQ228_spl|~sQ230_spl|~sQ76_spl),
% 30.13/4.29 inference(split_clause,[status(thm)],[f2037,f2039,f2046,f977])).
% 30.13/4.29 fof(f2059,plain,(
% 30.13/4.29 $false|sQ228_spl),
% 30.13/4.29 inference(forward_subsumption_resolution,[status(thm)],[f2041,f999])).
% 30.13/4.29 fof(f2060,plain,(
% 30.13/4.29 sQ228_spl),
% 30.13/4.29 inference(contradiction_clause,[status(thm)],[f2059])).
% 30.13/4.29 fof(f2678,plain,(
% 30.13/4.29 coll(sK24_skl,sK24_skl,sK22_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f386,f383])).
% 30.13/4.29 fof(f2681,plain,(
% 30.13/4.29 coll(sK24_skl,sK22_skl,sK24_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f2678,f98])).
% 30.13/4.29 fof(f2685,plain,(
% 30.13/4.29 coll(sK20_skl,sK24_skl,sK24_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f2681,f389])).
% 30.13/4.29 fof(f2702,plain,(
% 30.13/4.29 coll(sK24_skl,sK20_skl,sK24_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f2685,f100])).
% 30.13/4.29 fof(f2742,plain,(
% 30.13/4.29 coll(sK24_skl,sK24_skl,sK20_skl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f2702,f98])).
% 30.13/4.29 fof(f2743,plain,(
% 30.13/4.29 $false|sQ230_spl),
% 30.13/4.29 inference(forward_subsumption_resolution,[status(thm)],[f2742,f2048])).
% 30.13/4.29 fof(f2744,plain,(
% 30.13/4.29 sQ230_spl),
% 30.13/4.29 inference(contradiction_clause,[status(thm)],[f2743])).
% 30.13/4.29 fof(f7093,plain,(
% 30.13/4.29 ![X0]: (para(sK24_skl,X0,X0,sK24_skl)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f1982,f1986])).
% 30.13/4.29 fof(f7131,plain,(
% 30.13/4.29 ![X0]: (para(X0,sK24_skl,sK24_skl,X0)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f7093,f107])).
% 30.13/4.29 fof(f7324,plain,(
% 30.13/4.29 ![X0]: (para(X0,sK24_skl,X0,sK24_skl)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f7131,f105])).
% 30.13/4.29 fof(f7464,plain,(
% 30.13/4.29 ![X0]: (coll(X0,sK24_skl,sK24_skl)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f7324,f256])).
% 30.13/4.29 fof(f7481,plain,(
% 30.13/4.29 ![X0]: (coll(sK24_skl,X0,sK24_skl)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f7464,f100])).
% 30.13/4.29 fof(f7489,plain,(
% 30.13/4.29 ![X0]: (coll(sK24_skl,sK24_skl,X0)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f7481,f98])).
% 30.13/4.29 fof(f7512,plain,(
% 30.13/4.29 ![X0,X1]: (~coll(sK24_skl,sK24_skl,X0)|coll(X1,X0,sK24_skl)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f7489,f103])).
% 30.13/4.29 fof(f7531,plain,(
% 30.13/4.29 ![X0,X1]: (coll(X0,X1,sK24_skl)|~sQ74_spl)),
% 30.13/4.29 inference(forward_subsumption_resolution,[status(thm)],[f7512,f7489])).
% 30.13/4.29 fof(f7558,plain,(
% 30.13/4.29 ![X0,X1]: (coll(X0,sK24_skl,X1)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f7531,f98])).
% 30.13/4.29 fof(f7668,plain,(
% 30.13/4.29 ![X0,X1,X2]: (~coll(X0,sK24_skl,X1)|coll(X2,X1,X0)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f7558,f103])).
% 30.13/4.29 fof(f7678,plain,(
% 30.13/4.29 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ74_spl)),
% 30.13/4.29 inference(forward_subsumption_resolution,[status(thm)],[f7668,f7558])).
% 30.13/4.29 fof(f7686,plain,(
% 30.13/4.29 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~sQ74_spl)),
% 30.13/4.29 inference(backward_subsumption_resolution,[status(thm)],[f258,f7678])).
% 30.13/4.29 fof(f7688,plain,(
% 30.13/4.29 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3)|~sQ74_spl)),
% 30.13/4.29 inference(backward_subsumption_resolution,[status(thm)],[f219,f7678])).
% 30.13/4.29 fof(f7689,plain,(
% 30.13/4.29 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ74_spl)),
% 30.13/4.29 inference(backward_subsumption_resolution,[status(thm)],[f195,f7678])).
% 30.13/4.29 fof(f12872,plain,(
% 30.13/4.29 ![X0]: (cyclic(sK20_skl,X0,sK24_skl,sK24_skl)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f989,f7689])).
% 30.13/4.29 fof(f12897,plain,(
% 30.13/4.29 ![X0]: (cyclic(sK20_skl,sK24_skl,X0,sK24_skl)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f12872,f131])).
% 30.13/4.29 fof(f12914,plain,(
% 30.13/4.29 ![X0]: (cyclic(sK20_skl,sK24_skl,sK24_skl,X0)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f12897,f129])).
% 30.13/4.29 fof(f13404,plain,(
% 30.13/4.29 ![X0,X1]: (~cyclic(sK20_skl,sK24_skl,sK24_skl,X0)|cyclic(sK24_skl,sK24_skl,X1,X0)|~sQ74_spl)),
% 30.13/4.29 inference(resolution,[status(thm)],[f12914,f136])).
% 30.13/4.29 fof(f13415,plain,(
% 30.13/4.29 ![X0,X1]: (cyclic(sK24_skl,sK24_skl,X0,X1)|~sQ74_spl)),
% 30.13/4.30 inference(forward_subsumption_resolution,[status(thm)],[f13404,f12914])).
% 30.13/4.30 fof(f13490,plain,(
% 30.13/4.30 ![X0,X1,X2]: (~cyclic(sK24_skl,sK24_skl,X0,X1)|cyclic(sK24_skl,X0,X2,X1)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f13415,f136])).
% 30.13/4.30 fof(f13501,plain,(
% 30.13/4.30 ![X0,X1,X2]: (cyclic(sK24_skl,X0,X1,X2)|~sQ74_spl)),
% 30.13/4.30 inference(forward_subsumption_resolution,[status(thm)],[f13490,f13415])).
% 30.13/4.30 fof(f13507,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (~cyclic(sK24_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f13501,f136])).
% 30.13/4.30 fof(f13512,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ74_spl)),
% 30.13/4.30 inference(forward_subsumption_resolution,[status(thm)],[f13507,f13501])).
% 30.13/4.30 fof(f13513,plain,(
% 30.13/4.30 ![X0,X1,X2]: (~perp(X0,X1,X1,X2)|circle(sK15_skl(X1,X2,X0),X0,X2,X1)|~sQ74_spl)),
% 30.13/4.30 inference(backward_subsumption_resolution,[status(thm)],[f349,f13512])).
% 30.13/4.30 fof(f13514,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ74_spl)),
% 30.13/4.30 inference(backward_subsumption_resolution,[status(thm)],[f235,f13512])).
% 30.13/4.30 fof(f13515,plain,(
% 30.13/4.30 ![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)|~sQ74_spl)),
% 30.13/4.30 inference(backward_subsumption_resolution,[status(thm)],[f198,f13512])).
% 30.13/4.30 fof(f13523,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ74_spl)),
% 30.13/4.30 inference(backward_subsumption_resolution,[status(thm)],[f191,f13512])).
% 30.13/4.30 fof(f13524,plain,(
% 30.13/4.30 ![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)|~sQ74_spl)),
% 30.13/4.30 inference(forward_subsumption_resolution,[status(thm)],[f13515,f13512])).
% 30.13/4.30 fof(f13539,plain,(
% 30.13/4.30 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~sQ74_spl)),
% 30.13/4.30 inference(forward_subsumption_resolution,[status(thm)],[f13524,f13512])).
% 30.13/4.30 fof(f14277,plain,(
% 30.13/4.30 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f13523,f13539])).
% 30.13/4.30 fof(f14278,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f13523,f7688])).
% 30.13/4.30 fof(f14324,plain,(
% 30.13/4.30 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X2,X0,X0,X1)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f14277,f13514])).
% 30.13/4.30 fof(f14325,plain,(
% 30.13/4.30 ![X0,X1]: (midp(X0,X1,X1)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f14277,f7686])).
% 30.13/4.30 fof(f14336,plain,(
% 30.13/4.30 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ74_spl)),
% 30.13/4.30 inference(forward_subsumption_resolution,[status(thm)],[f14324,f14277])).
% 30.13/4.30 fof(f14476,plain,(
% 30.13/4.30 ![X0,X1,X2]: (circle(sK15_skl(X0,X1,X2),X2,X1,X0)|~sQ74_spl)),
% 30.13/4.30 inference(backward_subsumption_resolution,[status(thm)],[f13513,f14336])).
% 30.13/4.30 fof(f14477,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~sQ74_spl)),
% 30.13/4.30 inference(backward_subsumption_resolution,[status(thm)],[f222,f14336])).
% 30.13/4.30 fof(f14635,plain,(
% 30.13/4.30 ![X0,X1]: (midp(X0,X1,X0)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f14476,f14278])).
% 30.13/4.30 fof(f14679,plain,(
% 30.13/4.30 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f14477,f14325])).
% 30.13/4.30 fof(f14749,plain,(
% 30.13/4.30 ![X0,X1]: (midp(X0,X0,X1)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f14635,f122])).
% 30.13/4.30 fof(f15312,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3)|~sQ74_spl)),
% 30.13/4.30 inference(backward_subsumption_resolution,[status(thm)],[f232,f14679])).
% 30.13/4.30 fof(f15332,plain,(
% 30.13/4.30 ![X0,X1,X2]: (cong(X0,X1,X1,X2)|~sQ74_spl)),
% 30.13/4.30 inference(resolution,[status(thm)],[f14679,f149])).
% 30.13/4.30 fof(f15334,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~sQ74_spl)),
% 30.13/4.30 inference(forward_subsumption_resolution,[status(thm)],[f15312,f14679])).
% 30.13/4.30 fof(f15359,plain,(
% 30.13/4.30 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~sQ74_spl)),
% 30.13/4.30 inference(backward_subsumption_resolution,[status(thm)],[f117,f15334])).
% 30.13/4.30 fof(f15412,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X3,X1,X3,X2)|~sQ74_spl)),
% 30.13/4.30 inference(backward_subsumption_resolution,[status(thm)],[f230,f15334])).
% 30.13/4.30 fof(f15413,plain,(
% 30.13/4.30 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~sQ74_spl)),
% 30.13/4.30 inference(forward_subsumption_resolution,[status(thm)],[f15359,f15334])).
% 30.13/4.30 fof(f15476,plain,(
% 30.13/4.30 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|midp(X0,X3,X4)|~sQ74_spl)),
% 30.13/4.32 inference(backward_subsumption_resolution,[status(thm)],[f252,f15413])).
% 30.13/4.32 fof(f15508,plain,(
% 30.13/4.32 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|midp(X0,X3,X4)|~sQ74_spl)),
% 30.13/4.32 inference(forward_subsumption_resolution,[status(thm)],[f15476,f15413])).
% 30.13/4.32 fof(f15622,plain,(
% 30.13/4.32 ![X0,X1,X2]: (midp(X0,X1,X2)|~sQ74_spl)),
% 30.13/4.32 inference(resolution,[status(thm)],[f15508,f14749])).
% 30.13/4.32 fof(f15695,plain,(
% 30.13/4.32 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~sQ74_spl)),
% 30.13/4.32 inference(backward_subsumption_resolution,[status(thm)],[f15412,f15622])).
% 30.13/4.32 fof(f15829,plain,(
% 30.13/4.32 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X2,X3)|cong(X0,X4,X2,X3)|~sQ74_spl)),
% 30.13/4.32 inference(resolution,[status(thm)],[f15695,f154])).
% 30.13/4.32 fof(f16165,plain,(
% 30.13/4.32 ![X0,X1,X2,X3]: (cong(X0,X1,X2,X3)|~sQ74_spl)),
% 30.13/4.32 inference(resolution,[status(thm)],[f15829,f15332])).
% 30.13/4.32 fof(f16431,plain,(
% 30.13/4.32 $false|~sQ74_spl),
% 30.13/4.32 inference(backward_subsumption_resolution,[status(thm)],[f382,f16165])).
% 30.13/4.32 fof(f16432,plain,(
% 30.13/4.32 ~sQ74_spl),
% 30.13/4.32 inference(contradiction_clause,[status(thm)],[f16431])).
% 30.13/4.32 fof(f16433,plain,(
% 30.13/4.32 $false),
% 30.13/4.32 inference(sat_refutation,[status(thm)],[f980,f2057,f2060,f2744,f16432])).
% 30.13/4.32 % SZS output end CNFRefutation for theBenchmark.p
% 3.82/4.34 % Elapsed time: 3.966922 seconds
% 3.82/4.34 % CPU time: 30.949464 seconds
% 3.82/4.34 % Total memory used: 204.450 MB
% 3.82/4.34 % Net memory used: 187.763 MB
%------------------------------------------------------------------------------