%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO606+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 12:26:42 PM UTC 2026
% Result : Theorem 0.15s 26.02s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO606+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
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.02/25.86 % CPULimit : 300
% 0.02/25.86 % WCLimit : 300
% 0.02/25.86 % DateTime : Sun Sep 20 17:43:51 UTC 2026
% 0.02/25.86 % CPUTime :
% 0.02/25.87 % Drodi V4.1.1
% 0.15/26.02 % Refutation found
% 0.15/26.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/26.02 % SZS output start CNFRefutation for theBenchmark
% 0.15/26.02 fof(f1,axiom,(
% 0.15/26.02 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f2,axiom,(
% 0.15/26.02 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f3,axiom,(
% 0.15/26.02 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f4,axiom,(
% 0.15/26.02 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f8,axiom,(
% 0.15/26.02 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f9,axiom,(
% 0.15/26.02 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f14,axiom,(
% 0.15/26.02 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f15,axiom,(
% 0.15/26.02 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f17,axiom,(
% 0.15/26.02 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f19,axiom,(
% 0.15/26.02 (! [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) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f39,axiom,(
% 0.15/26.02 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f40,axiom,(
% 0.15/26.02 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f41,axiom,(
% 0.15/26.02 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f43,axiom,(
% 0.15/26.02 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f44,axiom,(
% 0.15/26.02 (! [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) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f46,axiom,(
% 0.15/26.02 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f53,axiom,(
% 0.15/26.02 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f56,axiom,(
% 0.15/26.02 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f57,axiom,(
% 0.15/26.02 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f58,axiom,(
% 0.15/26.02 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f67,axiom,(
% 0.15/26.02 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f68,axiom,(
% 0.15/26.02 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f95,conjecture,(
% 0.15/26.02 (! [A,B,P,D,E,I,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :( ( perp(P,A,P,B)& circle(A,P,NWPNT1,NWPNT2)& circle(B,P,NWPNT3,NWPNT4)& circle(A,P,D,NWPNT5)& circle(A,D,E,NWPNT6)& coll(E,D,A)& circle(A,P,I,NWPNT7)& circle(B,P,I,NWPNT8)& coll(F,D,I)& circle(B,P,F,NWPNT9)& circle(B,F,G,NWPNT01)& coll(G,F,B) )=> perp(G,F,D,E) ) )),
% 0.15/26.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/26.02 fof(f96,negated_conjecture,(
% 0.15/26.02 ~((! [A,B,P,D,E,I,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :( ( perp(P,A,P,B)& circle(A,P,NWPNT1,NWPNT2)& circle(B,P,NWPNT3,NWPNT4)& circle(A,P,D,NWPNT5)& circle(A,D,E,NWPNT6)& coll(E,D,A)& circle(A,P,I,NWPNT7)& circle(B,P,I,NWPNT8)& coll(F,D,I)& circle(B,P,F,NWPNT9)& circle(B,F,G,NWPNT01)& coll(G,F,B) )=> perp(G,F,D,E) ) ))),
% 0.15/26.02 inference(negated_conjecture,[status(cth)],[f95])).
% 0.15/26.02 fof(f97,plain,(
% 0.15/26.02 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.15/26.02 fof(f98,plain,(
% 0.15/26.02 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f97])).
% 0.15/26.02 fof(f99,plain,(
% 0.15/26.02 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.15/26.02 fof(f100,plain,(
% 0.15/26.02 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f99])).
% 0.15/26.02 fof(f101,plain,(
% 0.15/26.02 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.15/26.02 fof(f102,plain,(
% 0.15/26.02 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f101])).
% 0.15/26.02 fof(f103,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f102])).
% 0.15/26.02 fof(f104,plain,(
% 0.15/26.02 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.15/26.02 fof(f105,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f104])).
% 0.15/26.02 fof(f113,plain,(
% 0.15/26.02 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.15/26.02 fof(f114,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f113])).
% 0.15/26.02 fof(f115,plain,(
% 0.15/26.02 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.15/26.02 fof(f116,plain,(
% 0.15/26.02 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f115])).
% 0.15/26.02 fof(f117,plain,(
% 0.15/26.02 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f116])).
% 0.15/26.02 fof(f128,plain,(
% 0.15/26.02 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.15/26.02 fof(f129,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f128])).
% 0.15/26.02 fof(f130,plain,(
% 0.15/26.02 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.15/26.02 fof(f131,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f130])).
% 0.15/26.02 fof(f134,plain,(
% 0.15/26.02 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.15/26.02 fof(f135,plain,(
% 0.15/26.02 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f134])).
% 0.15/26.02 fof(f136,plain,(
% 0.15/26.02 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f135])).
% 0.15/26.02 fof(f139,plain,(
% 0.15/26.02 ![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))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.15/26.02 fof(f140,plain,(
% 0.15/26.02 ![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))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f139])).
% 0.15/26.02 fof(f184,plain,(
% 0.15/26.02 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.15/26.02 fof(f185,plain,(
% 0.15/26.02 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f184])).
% 0.15/26.02 fof(f186,plain,(
% 0.15/26.02 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f185])).
% 0.15/26.02 fof(f187,plain,(
% 0.15/26.02 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.15/26.02 fof(f188,plain,(
% 0.15/26.02 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f187])).
% 0.15/26.02 fof(f189,plain,(
% 0.15/26.02 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f188])).
% 0.15/26.02 fof(f190,plain,(
% 0.15/26.02 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.15/26.02 fof(f191,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/26.02 fof(f194,plain,(
% 0.15/26.02 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.15/26.02 fof(f195,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/26.02 fof(f196,plain,(
% 0.15/26.02 ![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))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.15/26.02 fof(f197,plain,(
% 0.15/26.02 ![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))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f196])).
% 0.15/26.02 fof(f198,plain,(
% 0.15/26.02 ![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))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f197])).
% 0.15/26.02 fof(f202,plain,(
% 0.15/26.02 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.15/26.02 fof(f203,plain,(
% 0.15/26.02 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f202])).
% 0.15/26.02 fof(f204,plain,(
% 0.15/26.02 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f203])).
% 0.15/26.02 fof(f220,plain,(
% 0.15/26.02 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.15/26.02 fof(f221,plain,(
% 0.15/26.02 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f220])).
% 0.15/26.02 fof(f222,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f221])).
% 0.15/26.02 fof(f228,plain,(
% 0.15/26.02 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 0.15/26.02 fof(f229,plain,(
% 0.15/26.02 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f228])).
% 0.15/26.02 fof(f230,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f229])).
% 0.15/26.02 fof(f231,plain,(
% 0.15/26.02 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.15/26.02 fof(f232,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f231])).
% 0.15/26.02 fof(f233,plain,(
% 0.15/26.02 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.15/26.02 fof(f234,plain,(
% 0.15/26.02 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f233])).
% 0.15/26.02 fof(f235,plain,(
% 0.15/26.02 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f234])).
% 0.15/26.02 fof(f255,plain,(
% 0.15/26.02 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.15/26.02 fof(f256,plain,(
% 0.15/26.02 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f255])).
% 0.15/26.02 fof(f257,plain,(
% 0.15/26.02 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.15/26.02 fof(f258,plain,(
% 0.15/26.02 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f257])).
% 0.15/26.02 fof(f369,plain,(
% 0.15/26.02 (?[A,B,P,D,E,I,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01]: ((((((((((((perp(P,A,P,B)&circle(A,P,NWPNT1,NWPNT2))&circle(B,P,NWPNT3,NWPNT4))&circle(A,P,D,NWPNT5))&circle(A,D,E,NWPNT6))&coll(E,D,A))&circle(A,P,I,NWPNT7))&circle(B,P,I,NWPNT8))&coll(F,D,I))&circle(B,P,F,NWPNT9))&circle(B,F,G,NWPNT01))&coll(G,F,B))&~perp(G,F,D,E)))),
% 0.15/26.02 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.15/26.02 fof(f370,plain,(
% 0.15/26.02 ?[D,E,F,G]: ((?[B]: (((?[P]: ((?[I]: (((?[A]: ((((((perp(P,A,P,B)&(?[NWPNT1,NWPNT2]: circle(A,P,NWPNT1,NWPNT2)))&(?[NWPNT3,NWPNT4]: circle(B,P,NWPNT3,NWPNT4)))&(?[NWPNT5]: circle(A,P,D,NWPNT5)))&(?[NWPNT6]: circle(A,D,E,NWPNT6)))&coll(E,D,A))&(?[NWPNT7]: circle(A,P,I,NWPNT7))))&(?[NWPNT8]: circle(B,P,I,NWPNT8)))&coll(F,D,I)))&(?[NWPNT9]: circle(B,P,F,NWPNT9))))&(?[NWPNT01]: circle(B,F,G,NWPNT01)))&coll(G,F,B)))&~perp(G,F,D,E))),
% 0.15/26.02 inference(miniscoping,[status(thm)],[f369])).
% 0.15/26.02 fof(f371,plain,(
% 0.15/26.02 ((((((((((((perp(sK25_skl,sK27_skl,sK25_skl,sK24_skl)&circle(sK27_skl,sK25_skl,sK28_skl,sK29_skl))&circle(sK24_skl,sK25_skl,sK30_skl,sK31_skl))&circle(sK27_skl,sK25_skl,sK20_skl,sK32_skl))&circle(sK27_skl,sK20_skl,sK21_skl,sK33_skl))&coll(sK21_skl,sK20_skl,sK27_skl))&circle(sK27_skl,sK25_skl,sK26_skl,sK34_skl))&circle(sK24_skl,sK25_skl,sK26_skl,sK35_skl))&coll(sK22_skl,sK20_skl,sK26_skl))&circle(sK24_skl,sK25_skl,sK22_skl,sK36_skl))&circle(sK24_skl,sK22_skl,sK23_skl,sK37_skl))&coll(sK23_skl,sK22_skl,sK24_skl))&~perp(sK23_skl,sK22_skl,sK20_skl,sK21_skl))),
% 0.15/26.02 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl]),skolemize(D,sK20_skl),skolemize(E,sK21_skl),skolemize(F,sK22_skl),skolemize(G,sK23_skl),skolemize(B,sK24_skl),skolemize(P,sK25_skl),skolemize(I,sK26_skl),skolemize(A,sK27_skl),skolemize(NWPNT1,sK28_skl),skolemize(NWPNT2,sK29_skl),skolemize(NWPNT3,sK30_skl),skolemize(NWPNT4,sK31_skl),skolemize(NWPNT5,sK32_skl),skolemize(NWPNT6,sK33_skl),skolemize(NWPNT7,sK34_skl),skolemize(NWPNT8,sK35_skl),skolemize(NWPNT9,sK36_skl),skolemize(NWPNT01,sK37_skl)],[f370])).
% 0.15/26.02 fof(f372,plain,(
% 0.15/26.02 perp(sK25_skl,sK27_skl,sK25_skl,sK24_skl)),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/26.02 fof(f384,plain,(
% 0.15/26.02 ~perp(sK23_skl,sK22_skl,sK20_skl,sK21_skl)),
% 0.15/26.02 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/26.02 fof(f452,plain,(
% 0.15/26.02 perp(sK25_skl,sK24_skl,sK25_skl,sK27_skl)),
% 0.15/26.02 inference(resolution,[status(thm)],[f114,f372])).
% 0.15/26.02 fof(f488,plain,(
% 0.15/26.02 ![X0,X1]: (~perp(X0,X1,sK25_skl,sK27_skl)|para(X0,X1,sK25_skl,sK24_skl))),
% 0.15/26.02 inference(resolution,[status(thm)],[f117,f372])).
% 0.15/26.02 fof(f602,plain,(
% 0.15/26.02 para(sK25_skl,sK24_skl,sK25_skl,sK24_skl)),
% 0.15/26.02 inference(resolution,[status(thm)],[f488,f452])).
% 0.15/26.02 fof(f1266,plain,(
% 0.15/26.02 ![X0,X1]: (eqangle(sK25_skl,sK24_skl,X0,X1,sK25_skl,sK24_skl,X0,X1))),
% 0.15/26.02 inference(resolution,[status(thm)],[f189,f602])).
% 0.15/26.02 fof(f1484,plain,(
% 0.15/26.02 ![X0]: (~coll(sK25_skl,sK25_skl,X0)|cyclic(sK24_skl,X0,sK25_skl,sK25_skl))),
% 0.15/26.02 inference(resolution,[status(thm)],[f1266,f195])).
% 0.15/26.02 fof(f1491,plain,(
% 0.15/26.02 ![X0,X1]: (eqangle(X0,X1,sK25_skl,sK24_skl,X0,X1,sK25_skl,sK24_skl))),
% 0.15/26.02 inference(resolution,[status(thm)],[f1266,f140])).
% 0.15/26.02 fof(f2625,plain,(
% 0.15/26.02 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.15/26.02 inference(resolution,[status(thm)],[f1491,f186])).
% 0.15/26.02 fof(f2641,plain,(
% 0.15/26.02 ![X0,X1]: (coll(X0,X1,X1))),
% 0.15/26.02 inference(resolution,[status(thm)],[f2625,f256])).
% 0.15/26.02 fof(f2644,plain,(
% 0.15/26.02 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.15/26.02 inference(resolution,[status(thm)],[f2625,f105])).
% 0.15/26.02 fof(f2703,plain,(
% 0.15/26.02 ![X0,X1]: (coll(X0,X1,X0))),
% 0.15/26.02 inference(resolution,[status(thm)],[f2641,f100])).
% 0.15/26.02 fof(f2763,plain,(
% 0.15/26.02 ![X0,X1]: (coll(X0,X0,X1))),
% 0.15/26.02 inference(resolution,[status(thm)],[f2703,f98])).
% 0.15/26.02 fof(f2764,plain,(
% 0.15/26.02 ![X0]: (cyclic(sK24_skl,X0,sK25_skl,sK25_skl))),
% 0.15/26.02 inference(backward_subsumption_resolution,[status(thm)],[f1484,f2763])).
% 0.15/26.02 fof(f2783,plain,(
% 0.15/26.02 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.15/26.02 inference(resolution,[status(thm)],[f2763,f103])).
% 0.15/26.02 fof(f2786,plain,(
% 0.15/26.02 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.15/26.02 inference(forward_subsumption_resolution,[status(thm)],[f2783,f2763])).
% 0.15/26.02 fof(f2787,plain,(
% 0.15/26.02 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 0.15/26.02 inference(backward_subsumption_resolution,[status(thm)],[f258,f2786])).
% 0.15/26.02 fof(f2789,plain,(
% 0.15/26.02 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 0.15/26.03 inference(backward_subsumption_resolution,[status(thm)],[f204,f2786])).
% 0.15/26.03 fof(f2819,plain,(
% 0.15/26.03 ![X0]: (cyclic(sK24_skl,sK25_skl,X0,sK25_skl))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2764,f131])).
% 0.15/26.03 fof(f2830,plain,(
% 0.15/26.03 ![X0]: (cyclic(sK24_skl,sK25_skl,sK25_skl,X0))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2819,f129])).
% 0.15/26.03 fof(f2843,plain,(
% 0.15/26.03 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2789,f2644])).
% 0.15/26.03 fof(f2851,plain,(
% 0.15/26.03 ![X0,X1]: (~cyclic(sK24_skl,sK25_skl,sK25_skl,X0)|cyclic(sK25_skl,sK25_skl,X0,X1))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2830,f136])).
% 0.15/26.03 fof(f2855,plain,(
% 0.15/26.03 ![X0,X1]: (cyclic(sK25_skl,sK25_skl,X0,X1))),
% 0.15/26.03 inference(forward_subsumption_resolution,[status(thm)],[f2851,f2830])).
% 0.15/26.03 fof(f2857,plain,(
% 0.15/26.03 ![X0,X1,X2]: (~cyclic(sK25_skl,sK25_skl,X0,X1)|cyclic(sK25_skl,X0,X1,X2))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2855,f136])).
% 0.15/26.03 fof(f2861,plain,(
% 0.15/26.03 ![X0,X1,X2]: (cyclic(sK25_skl,X0,X1,X2))),
% 0.15/26.03 inference(forward_subsumption_resolution,[status(thm)],[f2857,f2855])).
% 0.15/26.03 fof(f2863,plain,(
% 0.15/26.03 ![X0,X1,X2,X3]: (~cyclic(sK25_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2861,f136])).
% 0.15/26.03 fof(f2867,plain,(
% 0.15/26.03 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.15/26.03 inference(forward_subsumption_resolution,[status(thm)],[f2863,f2861])).
% 0.15/26.03 fof(f2868,plain,(
% 0.15/26.03 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 0.15/26.03 inference(backward_subsumption_resolution,[status(thm)],[f235,f2867])).
% 0.15/26.03 fof(f2870,plain,(
% 0.15/26.03 ![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))),
% 0.15/26.03 inference(backward_subsumption_resolution,[status(thm)],[f198,f2867])).
% 0.15/26.03 fof(f2871,plain,(
% 0.15/26.03 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.15/26.03 inference(backward_subsumption_resolution,[status(thm)],[f191,f2867])).
% 0.15/26.03 fof(f2872,plain,(
% 0.15/26.03 ![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))),
% 0.15/26.03 inference(forward_subsumption_resolution,[status(thm)],[f2870,f2867])).
% 0.15/26.03 fof(f2982,plain,(
% 0.15/26.03 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.15/26.03 inference(forward_subsumption_resolution,[status(thm)],[f2872,f2867])).
% 0.15/26.03 fof(f2987,plain,(
% 0.15/26.03 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2982,f2871])).
% 0.15/26.03 fof(f2990,plain,(
% 0.15/26.03 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2987,f2868])).
% 0.15/26.03 fof(f2991,plain,(
% 0.15/26.03 ![X0,X1]: (midp(X0,X1,X1))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2987,f2787])).
% 0.15/26.03 fof(f2998,plain,(
% 0.15/26.03 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 0.15/26.03 inference(forward_subsumption_resolution,[status(thm)],[f2990,f2987])).
% 0.15/26.03 fof(f3001,plain,(
% 0.15/26.03 ![X0,X1]: (midp(X0,X0,X1))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2991,f2843])).
% 0.15/26.03 fof(f3053,plain,(
% 0.15/26.03 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0))),
% 0.15/26.03 inference(backward_subsumption_resolution,[status(thm)],[f222,f2998])).
% 0.15/26.03 fof(f3063,plain,(
% 0.15/26.03 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1))),
% 0.15/26.03 inference(resolution,[status(thm)],[f2998,f230])).
% 0.15/26.03 fof(f3067,plain,(
% 0.15/26.03 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 0.15/26.03 inference(forward_subsumption_resolution,[status(thm)],[f3063,f3001])).
% 0.15/26.03 fof(f3102,plain,(
% 0.15/26.03 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 0.15/26.03 inference(backward_subsumption_resolution,[status(thm)],[f2787,f3067])).
% 0.15/26.03 fof(f3165,plain,(
% 0.15/26.03 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1))),
% 0.15/26.03 inference(backward_subsumption_resolution,[status(thm)],[f232,f3166])).
% 0.15/26.03 fof(f3166,plain,(
% 0.15/26.03 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 0.15/26.03 inference(forward_subsumption_resolution,[status(thm)],[f3053,f3102])).
% 0.15/26.03 fof(f3170,plain,(
% 0.15/26.03 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.15/26.03 inference(forward_subsumption_resolution,[status(thm)],[f3165,f3166])).
% 0.15/26.03 fof(f3184,plain,(
% 0.15/26.03 $false),
% 0.15/26.03 inference(backward_subsumption_resolution,[status(thm)],[f384,f3170])).
% 0.15/26.03 % SZS output end CNFRefutation for theBenchmark.p
% 0.78/26.04 % Elapsed time: 0.167109 seconds
% 0.78/26.04 % CPU time: 1.115185 seconds
% 0.78/26.04 % Total memory used: 103.625 MB
% 0.78/26.04 % Net memory used: 101.275 MB
%------------------------------------------------------------------------------