%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO558+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 : n006.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 2.90s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO558+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
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 17:27:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 2.90/0.80 % Refutation found
% 2.90/0.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.90/0.80 % SZS output start CNFRefutation for theBenchmark
% 2.90/0.80 fof(f8,axiom,(
% 2.90/0.80 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f9,axiom,(
% 2.90/0.80 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f17,axiom,(
% 2.90/0.80 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f18,axiom,(
% 2.90/0.80 (! [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) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f21,axiom,(
% 2.90/0.80 (! [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) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f40,axiom,(
% 2.90/0.80 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f41,axiom,(
% 2.90/0.80 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f42,axiom,(
% 2.90/0.80 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f43,axiom,(
% 2.90/0.80 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f44,axiom,(
% 2.90/0.80 (! [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) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f58,axiom,(
% 2.90/0.80 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f87,axiom,(
% 2.90/0.80 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f95,conjecture,(
% 2.90/0.80 (! [A,C,K,O,N,B,G,O1,M,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,C,K)& circle(O,A,N,NWPNT1)& coll(B,A,K)& coll(B,C,N)& circle(G,A,C,B)& circle(O1,K,N,B)& circle(G,A,M,NWPNT2)& circle(O1,K,M,NWPNT3) )=> perp(B,M,M,O) ) )),
% 2.90/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.80 fof(f96,negated_conjecture,(
% 2.90/0.80 ~((! [A,C,K,O,N,B,G,O1,M,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,C,K)& circle(O,A,N,NWPNT1)& coll(B,A,K)& coll(B,C,N)& circle(G,A,C,B)& circle(O1,K,N,B)& circle(G,A,M,NWPNT2)& circle(O1,K,M,NWPNT3) )=> perp(B,M,M,O) ) ))),
% 2.90/0.80 inference(negated_conjecture,[status(cth)],[f95])).
% 2.90/0.80 fof(f113,plain,(
% 2.90/0.80 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 2.90/0.80 fof(f114,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f113])).
% 2.90/0.80 fof(f115,plain,(
% 2.90/0.80 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 2.90/0.80 fof(f116,plain,(
% 2.90/0.80 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.90/0.80 inference(miniscoping,[status(thm)],[f115])).
% 2.90/0.80 fof(f117,plain,(
% 2.90/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f116])).
% 2.90/0.80 fof(f134,plain,(
% 2.90/0.80 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 2.90/0.80 fof(f135,plain,(
% 2.90/0.80 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 2.90/0.80 inference(miniscoping,[status(thm)],[f134])).
% 2.90/0.80 fof(f136,plain,(
% 2.90/0.80 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f135])).
% 2.90/0.80 fof(f137,plain,(
% 2.90/0.80 ![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))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 2.90/0.80 fof(f138,plain,(
% 2.90/0.80 ![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))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f137])).
% 2.90/0.80 fof(f143,plain,(
% 2.90/0.80 ![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))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 2.90/0.80 fof(f144,plain,(
% 2.90/0.80 ![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))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f143])).
% 2.90/0.80 fof(f187,plain,(
% 2.90/0.80 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 2.90/0.80 fof(f188,plain,(
% 2.90/0.80 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.90/0.80 inference(miniscoping,[status(thm)],[f187])).
% 2.90/0.80 fof(f189,plain,(
% 2.90/0.80 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f188])).
% 2.90/0.80 fof(f190,plain,(
% 2.90/0.80 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 2.90/0.80 fof(f191,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f190])).
% 2.90/0.80 fof(f192,plain,(
% 2.90/0.80 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 2.90/0.80 fof(f193,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f192])).
% 2.90/0.80 fof(f194,plain,(
% 2.90/0.80 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 2.90/0.80 fof(f195,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f194])).
% 2.90/0.80 fof(f196,plain,(
% 2.90/0.80 ![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))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 2.90/0.80 fof(f197,plain,(
% 2.90/0.80 ![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))),
% 2.90/0.80 inference(miniscoping,[status(thm)],[f196])).
% 2.90/0.80 fof(f198,plain,(
% 2.90/0.80 ![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))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f197])).
% 2.90/0.80 fof(f233,plain,(
% 2.90/0.80 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 2.90/0.80 fof(f234,plain,(
% 2.90/0.80 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 2.90/0.80 inference(miniscoping,[status(thm)],[f233])).
% 2.90/0.80 fof(f235,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f234])).
% 2.90/0.80 fof(f331,plain,(
% 2.90/0.80 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 2.90/0.80 fof(f332,plain,(
% 2.90/0.80 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 2.90/0.80 inference(miniscoping,[status(thm)],[f331])).
% 2.90/0.80 fof(f333,plain,(
% 2.90/0.80 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 2.90/0.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 2.90/0.80 fof(f334,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f333])).
% 2.90/0.80 fof(f369,plain,(
% 2.90/0.80 (?[A,C,K,O,N,B,G,O1,M,NWPNT1,NWPNT2,NWPNT3]: ((((((((circle(O,A,C,K)&circle(O,A,N,NWPNT1))&coll(B,A,K))&coll(B,C,N))&circle(G,A,C,B))&circle(O1,K,N,B))&circle(G,A,M,NWPNT2))&circle(O1,K,M,NWPNT3))&~perp(B,M,M,O)))),
% 2.90/0.80 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 2.90/0.80 fof(f370,plain,(
% 2.90/0.80 ?[O,B,M]: ((?[K,O1]: ((?[A,G]: ((?[N]: ((?[C]: ((((circle(O,A,C,K)&(?[NWPNT1]: circle(O,A,N,NWPNT1)))&coll(B,A,K))&coll(B,C,N))&circle(G,A,C,B)))&circle(O1,K,N,B)))&(?[NWPNT2]: circle(G,A,M,NWPNT2))))&(?[NWPNT3]: circle(O1,K,M,NWPNT3))))&~perp(B,M,M,O))),
% 2.90/0.80 inference(miniscoping,[status(thm)],[f369])).
% 2.90/0.80 fof(f371,plain,(
% 2.90/0.80 ((((((((circle(sK20_skl,sK25_skl,sK28_skl,sK23_skl)&circle(sK20_skl,sK25_skl,sK27_skl,sK29_skl))&coll(sK21_skl,sK25_skl,sK23_skl))&coll(sK21_skl,sK28_skl,sK27_skl))&circle(sK26_skl,sK25_skl,sK28_skl,sK21_skl))&circle(sK24_skl,sK23_skl,sK27_skl,sK21_skl))&circle(sK26_skl,sK25_skl,sK22_skl,sK30_skl))&circle(sK24_skl,sK23_skl,sK22_skl,sK31_skl))&~perp(sK21_skl,sK22_skl,sK22_skl,sK20_skl))),
% 2.90/0.80 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,sK31_skl]),skolemize(O,sK20_skl),skolemize(B,sK21_skl),skolemize(M,sK22_skl),skolemize(K,sK23_skl),skolemize(O1,sK24_skl),skolemize(A,sK25_skl),skolemize(G,sK26_skl),skolemize(N,sK27_skl),skolemize(C,sK28_skl),skolemize(NWPNT1,sK29_skl),skolemize(NWPNT2,sK30_skl),skolemize(NWPNT3,sK31_skl)],[f370])).
% 2.90/0.80 fof(f377,plain,(
% 2.90/0.80 circle(sK24_skl,sK23_skl,sK27_skl,sK21_skl)),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f371])).
% 2.90/0.80 fof(f380,plain,(
% 2.90/0.80 ~perp(sK21_skl,sK22_skl,sK22_skl,sK20_skl)),
% 2.90/0.80 inference(cnf_transformation,[status(thm)],[f371])).
% 2.90/0.80 fof(f417,plain,(
% 2.90/0.80 perp(sK11_skl(sK24_skl,sK23_skl),sK23_skl,sK23_skl,sK24_skl)),
% 2.90/0.80 inference(resolution,[status(thm)],[f334,f377])).
% 2.90/0.80 fof(f528,plain,(
% 2.90/0.80 ![X0,X1]: (~perp(X0,X1,sK11_skl(sK24_skl,sK23_skl),sK23_skl)|para(X0,X1,sK23_skl,sK24_skl))),
% 2.90/0.80 inference(resolution,[status(thm)],[f417,f117])).
% 2.90/0.80 fof(f529,plain,(
% 2.90/0.80 perp(sK23_skl,sK24_skl,sK11_skl(sK24_skl,sK23_skl),sK23_skl)),
% 2.90/0.80 inference(resolution,[status(thm)],[f417,f114])).
% 2.90/0.80 fof(f1833,plain,(
% 2.90/0.80 para(sK23_skl,sK24_skl,sK23_skl,sK24_skl)),
% 2.90/0.80 inference(resolution,[status(thm)],[f529,f528])).
% 2.90/0.80 fof(f1877,plain,(
% 2.90/0.80 ![X0,X1]: (eqangle(sK23_skl,sK24_skl,X0,X1,sK23_skl,sK24_skl,X0,X1))),
% 2.90/0.80 inference(resolution,[status(thm)],[f1833,f189])).
% 2.90/0.80 fof(f1942,plain,(
% 2.90/0.80 ![X0,X1]: (eqangle(sK23_skl,sK24_skl,sK23_skl,sK24_skl,X0,X1,X0,X1))),
% 2.90/0.80 inference(resolution,[status(thm)],[f1877,f144])).
% 2.90/0.80 fof(f2254,plain,(
% 2.90/0.80 ![X0]: (~coll(sK23_skl,X0,sK24_skl)|cyclic(sK24_skl,sK24_skl,sK23_skl,X0))),
% 2.90/0.80 inference(resolution,[status(thm)],[f1942,f195])).
% 2.90/0.80 fof(f2255,plain,(
% 2.90/0.80 ![X0]: (coll(sK23_skl,X0,sK24_skl)|cyclic(sK24_skl,sK24_skl,sK23_skl,X0))),
% 2.90/0.80 inference(resolution,[status(thm)],[f1942,f193])).
% 2.90/0.80 fof(f2285,plain,(
% 2.90/0.80 ![X0]: (cyclic(sK24_skl,sK24_skl,sK23_skl,X0))),
% 2.90/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2255,f2254])).
% 2.90/0.80 fof(f2353,plain,(
% 2.90/0.80 ![X0,X1]: (~cyclic(sK24_skl,sK24_skl,sK23_skl,X0)|cyclic(sK24_skl,sK23_skl,X0,X1))),
% 2.90/0.80 inference(resolution,[status(thm)],[f2285,f136])).
% 2.90/0.80 fof(f2360,plain,(
% 2.90/0.80 ![X0,X1]: (cyclic(sK24_skl,sK23_skl,X0,X1))),
% 2.90/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2353,f2285])).
% 2.90/0.80 fof(f2363,plain,(
% 2.90/0.80 ![X0,X1,X2]: (~cyclic(sK24_skl,sK23_skl,X0,X1)|cyclic(sK23_skl,X0,X1,X2))),
% 2.90/0.80 inference(resolution,[status(thm)],[f2360,f136])).
% 2.90/0.80 fof(f2371,plain,(
% 2.90/0.80 ![X0,X1,X2]: (cyclic(sK23_skl,X0,X1,X2))),
% 2.90/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2363,f2360])).
% 2.90/0.80 fof(f2377,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (~cyclic(sK23_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 2.90/0.80 inference(resolution,[status(thm)],[f2371,f136])).
% 2.90/0.80 fof(f2383,plain,(
% 2.90/0.80 ![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))),
% 2.90/0.80 inference(backward_subsumption_resolution,[status(thm)],[f198,f2394])).
% 2.90/0.80 fof(f2384,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 2.90/0.80 inference(backward_subsumption_resolution,[status(thm)],[f235,f2394])).
% 2.90/0.80 fof(f2389,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 2.90/0.80 inference(backward_subsumption_resolution,[status(thm)],[f191,f2394])).
% 2.90/0.80 fof(f2394,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 2.90/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2377,f2371])).
% 2.90/0.80 fof(f2395,plain,(
% 2.90/0.80 ![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))),
% 2.90/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2383,f2394])).
% 2.90/0.80 fof(f2606,plain,(
% 2.90/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2))),
% 2.90/0.80 inference(resolution,[status(thm)],[f2389,f138])).
% 2.90/0.80 fof(f2668,plain,(
% 2.90/0.80 ![X0,X1]: (~cyclic(X0,X1,X0,X1)|cong(X0,X1,X0,X1))),
% 2.90/0.80 inference(resolution,[status(thm)],[f2395,f2606])).
% 2.90/0.80 fof(f2675,plain,(
% 2.90/0.80 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 2.90/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2668,f2394])).
% 2.90/0.81 fof(f2684,plain,(
% 2.90/0.81 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 2.90/0.81 inference(resolution,[status(thm)],[f2675,f2384])).
% 2.90/0.81 fof(f2706,plain,(
% 2.90/0.81 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 2.90/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2684,f2675])).
% 2.90/0.81 fof(f2707,plain,(
% 2.90/0.81 $false),
% 2.90/0.81 inference(backward_subsumption_resolution,[status(thm)],[f380,f2706])).
% 2.90/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 1.82/0.83 % Elapsed time: 0.463314 seconds
% 1.82/0.83 % CPU time: 3.350831 seconds
% 1.82/0.83 % Total memory used: 115.452 MB
% 1.82/0.83 % Net memory used: 111.882 MB
%------------------------------------------------------------------------------