%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO572+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 : n012.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 12:26:39 PM UTC 2026
% Result : Theorem 0.09s 10.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO572+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/10.33 % Computer : n012.cluster.edu
% 0.04/10.33 % Model : x86_64 x86_64
% 0.04/10.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.33 % Memory : 8046.5625MB
% 0.04/10.33 % OS : Linux 6.8.0-71-generic
% 0.04/10.33 % CPULimit : 300
% 0.04/10.33 % WCLimit : 300
% 0.04/10.33 % DateTime : Sun Sep 20 17:35:20 UTC 2026
% 0.04/10.33 % CPUTime :
% 0.04/10.35 % Drodi V4.1.1
% 0.09/10.50 % Refutation found
% 0.09/10.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/10.50 % SZS output start CNFRefutation for theBenchmark
% 0.09/10.50 fof(f1,axiom,(
% 0.09/10.50 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f2,axiom,(
% 0.09/10.50 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f3,axiom,(
% 0.09/10.50 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f4,axiom,(
% 0.09/10.50 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f8,axiom,(
% 0.09/10.50 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f9,axiom,(
% 0.09/10.50 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f11,axiom,(
% 0.09/10.50 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f12,axiom,(
% 0.09/10.50 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f17,axiom,(
% 0.09/10.50 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f19,axiom,(
% 0.09/10.50 (! [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) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f21,axiom,(
% 0.09/10.50 (! [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) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f23,axiom,(
% 0.09/10.50 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f39,axiom,(
% 0.09/10.50 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f40,axiom,(
% 0.09/10.50 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f41,axiom,(
% 0.09/10.50 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f43,axiom,(
% 0.09/10.50 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f44,axiom,(
% 0.09/10.50 (! [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) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f46,axiom,(
% 0.09/10.50 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f52,axiom,(
% 0.09/10.50 (! [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) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f53,axiom,(
% 0.09/10.50 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f57,axiom,(
% 0.09/10.50 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f58,axiom,(
% 0.09/10.50 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f67,axiom,(
% 0.09/10.50 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f95,conjecture,(
% 0.09/10.50 (! [A,B,C,H,O,P,NWPNT1] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& perp(C,H,H,P)& circle(O,H,B,C)& circle(O,B,P,NWPNT1) )=> para(A,H,B,P) ) )),
% 0.09/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/10.50 fof(f96,negated_conjecture,(
% 0.09/10.50 ~((! [A,B,C,H,O,P,NWPNT1] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& perp(C,H,H,P)& circle(O,H,B,C)& circle(O,B,P,NWPNT1) )=> para(A,H,B,P) ) ))),
% 0.09/10.50 inference(negated_conjecture,[status(cth)],[f95])).
% 0.09/10.50 fof(f97,plain,(
% 0.09/10.50 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.09/10.50 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.09/10.50 fof(f98,plain,(
% 0.09/10.50 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.09/10.50 inference(cnf_transformation,[status(thm)],[f97])).
% 0.09/10.50 fof(f99,plain,(
% 0.09/10.50 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.09/10.50 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/10.50 fof(f100,plain,(
% 0.09/10.50 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.09/10.50 inference(cnf_transformation,[status(thm)],[f99])).
% 0.09/10.50 fof(f101,plain,(
% 0.09/10.50 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.09/10.50 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/10.50 fof(f102,plain,(
% 0.09/10.50 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.09/10.50 inference(miniscoping,[status(thm)],[f101])).
% 0.09/10.50 fof(f103,plain,(
% 0.09/10.50 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.09/10.50 inference(cnf_transformation,[status(thm)],[f102])).
% 0.09/10.50 fof(f104,plain,(
% 0.09/10.50 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.09/10.50 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/10.50 fof(f105,plain,(
% 0.09/10.50 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.09/10.50 inference(cnf_transformation,[status(thm)],[f104])).
% 0.09/10.50 fof(f113,plain,(
% 0.09/10.50 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.09/10.50 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/10.50 fof(f114,plain,(
% 0.09/10.50 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.09/10.50 inference(cnf_transformation,[status(thm)],[f113])).
% 0.09/10.50 fof(f115,plain,(
% 0.09/10.50 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.09/10.50 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.09/10.50 fof(f116,plain,(
% 0.09/10.50 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.09/10.50 inference(miniscoping,[status(thm)],[f115])).
% 0.09/10.50 fof(f117,plain,(
% 0.09/10.50 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.09/10.50 inference(cnf_transformation,[status(thm)],[f116])).
% 0.09/10.50 fof(f121,plain,(
% 0.09/10.50 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 0.09/10.50 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.09/10.50 fof(f122,plain,(
% 0.09/10.50 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 0.09/10.50 inference(cnf_transformation,[status(thm)],[f121])).
% 0.09/10.50 fof(f123,plain,(
% 0.09/10.50 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/10.51 fof(f124,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f123])).
% 0.09/10.51 fof(f134,plain,(
% 0.09/10.51 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.09/10.51 fof(f135,plain,(
% 0.09/10.51 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.09/10.51 inference(miniscoping,[status(thm)],[f134])).
% 0.09/10.51 fof(f136,plain,(
% 0.09/10.51 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f135])).
% 0.09/10.51 fof(f139,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.09/10.51 fof(f140,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f139])).
% 0.09/10.51 fof(f143,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.09/10.51 fof(f144,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f143])).
% 0.09/10.51 fof(f148,plain,(
% 0.09/10.51 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.09/10.51 fof(f149,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f148])).
% 0.09/10.51 fof(f184,plain,(
% 0.09/10.51 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.09/10.51 fof(f185,plain,(
% 0.09/10.51 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.09/10.51 inference(miniscoping,[status(thm)],[f184])).
% 0.09/10.51 fof(f186,plain,(
% 0.09/10.51 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f185])).
% 0.09/10.51 fof(f187,plain,(
% 0.09/10.51 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.09/10.51 fof(f188,plain,(
% 0.09/10.51 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.09/10.51 inference(miniscoping,[status(thm)],[f187])).
% 0.09/10.51 fof(f189,plain,(
% 0.09/10.51 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f188])).
% 0.09/10.51 fof(f190,plain,(
% 0.09/10.51 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.09/10.51 fof(f191,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/10.51 fof(f194,plain,(
% 0.09/10.51 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.09/10.51 fof(f195,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f194])).
% 0.09/10.51 fof(f196,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.09/10.51 fof(f197,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(miniscoping,[status(thm)],[f196])).
% 0.09/10.51 fof(f198,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f197])).
% 0.09/10.51 fof(f202,plain,(
% 0.09/10.51 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.09/10.51 fof(f203,plain,(
% 0.09/10.51 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.09/10.51 inference(miniscoping,[status(thm)],[f202])).
% 0.09/10.51 fof(f204,plain,(
% 0.09/10.51 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f203])).
% 0.09/10.51 fof(f217,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.09/10.51 fof(f218,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(miniscoping,[status(thm)],[f217])).
% 0.09/10.51 fof(f219,plain,(
% 0.09/10.51 ![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))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f218])).
% 0.09/10.51 fof(f220,plain,(
% 0.09/10.51 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.09/10.51 fof(f221,plain,(
% 0.09/10.51 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 0.09/10.51 inference(miniscoping,[status(thm)],[f220])).
% 0.09/10.51 fof(f222,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f221])).
% 0.09/10.51 fof(f231,plain,(
% 0.09/10.51 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.09/10.51 fof(f232,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f231])).
% 0.09/10.51 fof(f233,plain,(
% 0.09/10.51 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.09/10.51 fof(f234,plain,(
% 0.09/10.51 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.09/10.51 inference(miniscoping,[status(thm)],[f233])).
% 0.09/10.51 fof(f235,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f234])).
% 0.09/10.51 fof(f255,plain,(
% 0.09/10.51 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.09/10.51 fof(f256,plain,(
% 0.09/10.51 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f255])).
% 0.09/10.51 fof(f369,plain,(
% 0.09/10.51 (?[A,B,C,H,O,P,NWPNT1]: ((((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&perp(C,H,H,P))&circle(O,H,B,C))&circle(O,B,P,NWPNT1))&~para(A,H,B,P)))),
% 0.09/10.51 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.09/10.51 fof(f370,plain,(
% 0.09/10.51 ?[A,B,H,P]: ((?[O]: ((?[C]: ((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&perp(C,H,H,P))&circle(O,H,B,C)))&(?[NWPNT1]: circle(O,B,P,NWPNT1))))&~para(A,H,B,P))),
% 0.09/10.51 inference(miniscoping,[status(thm)],[f369])).
% 0.09/10.51 fof(f371,plain,(
% 0.09/10.51 ((((((perp(sK20_skl,sK21_skl,sK25_skl,sK22_skl)&perp(sK20_skl,sK25_skl,sK21_skl,sK22_skl))&perp(sK21_skl,sK25_skl,sK20_skl,sK22_skl))&perp(sK25_skl,sK22_skl,sK22_skl,sK23_skl))&circle(sK24_skl,sK22_skl,sK21_skl,sK25_skl))&circle(sK24_skl,sK21_skl,sK23_skl,sK26_skl))&~para(sK20_skl,sK22_skl,sK21_skl,sK23_skl))),
% 0.09/10.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(H,sK22_skl),skolemize(P,sK23_skl),skolemize(O,sK24_skl),skolemize(C,sK25_skl),skolemize(NWPNT1,sK26_skl)],[f370])).
% 0.09/10.51 fof(f375,plain,(
% 0.09/10.51 perp(sK25_skl,sK22_skl,sK22_skl,sK23_skl)),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f371])).
% 0.09/10.51 fof(f376,plain,(
% 0.09/10.51 circle(sK24_skl,sK22_skl,sK21_skl,sK25_skl)),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f371])).
% 0.09/10.51 fof(f378,plain,(
% 0.09/10.51 ~para(sK20_skl,sK22_skl,sK21_skl,sK23_skl)),
% 0.09/10.51 inference(cnf_transformation,[status(thm)],[f371])).
% 0.09/10.51 fof(f388,plain,(
% 0.09/10.51 perp(sK22_skl,sK23_skl,sK25_skl,sK22_skl)),
% 0.09/10.51 inference(resolution,[status(thm)],[f114,f375])).
% 0.09/10.51 fof(f396,plain,(
% 0.09/10.51 ![X0,X1]: (~perp(X0,X1,sK25_skl,sK22_skl)|para(X0,X1,sK22_skl,sK23_skl))),
% 0.09/10.51 inference(resolution,[status(thm)],[f117,f375])).
% 0.09/10.51 fof(f451,plain,(
% 0.09/10.51 para(sK22_skl,sK23_skl,sK22_skl,sK23_skl)),
% 0.09/10.51 inference(resolution,[status(thm)],[f396,f388])).
% 0.09/10.51 fof(f487,plain,(
% 0.09/10.51 ![X0,X1]: (eqangle(sK22_skl,sK23_skl,X0,X1,sK22_skl,sK23_skl,X0,X1))),
% 0.09/10.51 inference(resolution,[status(thm)],[f189,f451])).
% 0.09/10.51 fof(f632,plain,(
% 0.09/10.51 ![X0,X1]: (eqangle(X0,X1,sK22_skl,sK23_skl,X0,X1,sK22_skl,sK23_skl))),
% 0.09/10.51 inference(resolution,[status(thm)],[f140,f487])).
% 0.09/10.51 fof(f1046,plain,(
% 0.09/10.51 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.09/10.51 inference(resolution,[status(thm)],[f632,f186])).
% 0.09/10.51 fof(f1048,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1046,f189])).
% 0.09/10.51 fof(f1052,plain,(
% 0.09/10.51 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1046,f105])).
% 0.09/10.51 fof(f1053,plain,(
% 0.09/10.51 ![X0,X1]: (coll(X0,X1,X1))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1046,f256])).
% 0.09/10.51 fof(f1063,plain,(
% 0.09/10.51 ![X0,X1]: (coll(X0,X1,X0))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1053,f100])).
% 0.09/10.51 fof(f1098,plain,(
% 0.09/10.51 ![X0,X1]: (coll(X0,X0,X1))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1063,f98])).
% 0.09/10.51 fof(f1103,plain,(
% 0.09/10.51 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1098,f103])).
% 0.09/10.51 fof(f1106,plain,(
% 0.09/10.51 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.09/10.51 inference(forward_subsumption_resolution,[status(thm)],[f1103,f1098])).
% 0.09/10.51 fof(f1108,plain,(
% 0.09/10.51 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3))),
% 0.09/10.51 inference(backward_subsumption_resolution,[status(thm)],[f219,f1106])).
% 0.09/10.51 fof(f1109,plain,(
% 0.09/10.51 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 0.09/10.51 inference(backward_subsumption_resolution,[status(thm)],[f204,f1106])).
% 0.09/10.51 fof(f1111,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1052,f189])).
% 0.09/10.51 fof(f1118,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1048,f144])).
% 0.09/10.51 fof(f1129,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X3,X2))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1111,f140])).
% 0.09/10.51 fof(f1376,plain,(
% 0.09/10.51 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1109,f1046])).
% 0.09/10.51 fof(f1443,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.09/10.51 inference(forward_subsumption_resolution,[status(thm)],[f195,f1106])).
% 0.09/10.51 fof(f1449,plain,(
% 0.09/10.51 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1443,f1118])).
% 0.09/10.51 fof(f1493,plain,(
% 0.09/10.51 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.09/10.51 inference(resolution,[status(thm)],[f1449,f136])).
% 0.09/10.52 fof(f1497,plain,(
% 0.09/10.52 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.09/10.52 inference(forward_subsumption_resolution,[status(thm)],[f1493,f1449])).
% 0.09/10.52 fof(f1508,plain,(
% 0.09/10.52 ![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))),
% 0.09/10.52 inference(backward_subsumption_resolution,[status(thm)],[f198,f1497])).
% 0.09/10.52 fof(f1509,plain,(
% 0.09/10.52 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.09/10.52 inference(backward_subsumption_resolution,[status(thm)],[f191,f1497])).
% 0.09/10.52 fof(f1510,plain,(
% 0.09/10.52 ![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))),
% 0.09/10.52 inference(forward_subsumption_resolution,[status(thm)],[f1508,f1497])).
% 0.09/10.52 fof(f1511,plain,(
% 0.09/10.52 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.09/10.52 inference(forward_subsumption_resolution,[status(thm)],[f1510,f1497])).
% 0.09/10.52 fof(f1515,plain,(
% 0.09/10.52 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.09/10.52 inference(resolution,[status(thm)],[f1511,f1129])).
% 0.09/10.52 fof(f1521,plain,(
% 0.09/10.52 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|midp(X3,X2,X3))),
% 0.09/10.52 inference(resolution,[status(thm)],[f1509,f1108])).
% 0.09/10.52 fof(f1641,plain,(
% 0.09/10.52 midp(sK25_skl,sK21_skl,sK25_skl)),
% 0.09/10.52 inference(resolution,[status(thm)],[f1521,f376])).
% 0.09/10.52 fof(f1725,plain,(
% 0.09/10.52 ![X0]: (midp(X0,sK21_skl,X0))),
% 0.09/10.52 inference(resolution,[status(thm)],[f1641,f1376])).
% 0.09/10.52 fof(f1738,plain,(
% 0.09/10.52 ![X0]: (midp(X0,X0,sK21_skl))),
% 0.09/10.52 inference(resolution,[status(thm)],[f1725,f122])).
% 0.09/10.52 fof(f2082,plain,(
% 0.09/10.52 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 0.09/10.52 inference(forward_subsumption_resolution,[status(thm)],[f235,f1497])).
% 0.09/10.52 fof(f2092,plain,(
% 0.09/10.52 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 0.09/10.52 inference(resolution,[status(thm)],[f2082,f1515])).
% 0.09/10.52 fof(f2094,plain,(
% 0.09/10.52 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 0.09/10.52 inference(forward_subsumption_resolution,[status(thm)],[f2092,f1515])).
% 0.09/10.52 fof(f2095,plain,(
% 0.09/10.52 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0))),
% 0.09/10.52 inference(backward_subsumption_resolution,[status(thm)],[f222,f2094])).
% 0.09/10.52 fof(f2145,plain,(
% 0.09/10.52 ![X0,X1]: (cong(X0,X0,X1,X0))),
% 0.09/10.52 inference(resolution,[status(thm)],[f2095,f1738])).
% 0.09/10.52 fof(f2151,plain,(
% 0.09/10.52 ![X0,X1]: (cong(X0,X0,X0,X1))),
% 0.09/10.52 inference(resolution,[status(thm)],[f2145,f149])).
% 0.09/10.52 fof(f2164,plain,(
% 0.09/10.52 ![X0,X1,X2]: (~cong(X0,X0,X0,X1)|circle(X0,X0,X1,X2))),
% 0.09/10.52 inference(resolution,[status(thm)],[f2151,f124])).
% 0.09/10.52 fof(f2165,plain,(
% 0.09/10.52 ![X0,X1,X2]: (circle(X0,X0,X1,X2))),
% 0.09/10.52 inference(forward_subsumption_resolution,[status(thm)],[f2164,f2151])).
% 0.09/10.52 fof(f2172,plain,(
% 0.09/10.52 ![X0,X1]: (midp(X0,X1,X0))),
% 0.09/10.52 inference(resolution,[status(thm)],[f2165,f1521])).
% 0.09/10.52 fof(f2176,plain,(
% 0.09/10.52 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 0.09/10.52 inference(resolution,[status(thm)],[f2172,f2095])).
% 0.09/10.52 fof(f2200,plain,(
% 0.09/10.52 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1))),
% 0.09/10.52 inference(backward_subsumption_resolution,[status(thm)],[f232,f2176])).
% 0.09/10.52 fof(f2206,plain,(
% 0.09/10.52 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.09/10.52 inference(forward_subsumption_resolution,[status(thm)],[f2200,f2176])).
% 0.09/10.52 fof(f2207,plain,(
% 0.09/10.52 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3))),
% 0.09/10.52 inference(backward_subsumption_resolution,[status(thm)],[f117,f2206])).
% 0.09/10.52 fof(f2215,plain,(
% 0.09/10.52 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.09/10.52 inference(forward_subsumption_resolution,[status(thm)],[f2207,f2206])).
% 0.09/10.52 fof(f2223,plain,(
% 0.09/10.52 $false),
% 0.09/10.52 inference(backward_subsumption_resolution,[status(thm)],[f378,f2215])).
% 0.09/10.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/10.53 % Elapsed time: 0.184163 seconds
% 0.09/10.53 % CPU time: 1.286672 seconds
% 0.09/10.53 % Total memory used: 100.227 MB
% 0.09/10.53 % Net memory used: 98.277 MB
%------------------------------------------------------------------------------