%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO653+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 4.70s 1.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO653+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 18:13:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 4.70/1.08 % Refutation found
% 4.70/1.08 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.70/1.08 % SZS output start CNFRefutation for theBenchmark
% 4.70/1.08 fof(f1,axiom,(
% 4.70/1.08 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f2,axiom,(
% 4.70/1.08 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f3,axiom,(
% 4.70/1.08 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f5,axiom,(
% 4.70/1.08 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f6,axiom,(
% 4.70/1.08 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f9,axiom,(
% 4.70/1.08 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f14,axiom,(
% 4.70/1.08 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f15,axiom,(
% 4.70/1.08 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f17,axiom,(
% 4.70/1.08 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f20,axiom,(
% 4.70/1.08 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f21,axiom,(
% 4.70/1.08 (! [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) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f40,axiom,(
% 4.70/1.08 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f41,axiom,(
% 4.70/1.08 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f43,axiom,(
% 4.70/1.08 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f44,axiom,(
% 4.70/1.08 (! [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) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f53,axiom,(
% 4.70/1.08 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f57,axiom,(
% 4.70/1.08 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f58,axiom,(
% 4.70/1.08 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f67,axiom,(
% 4.70/1.08 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f68,axiom,(
% 4.70/1.08 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f74,axiom,(
% 4.70/1.08 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& para(P,Q,U,V) )=> para(A,B,C,D) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f95,conjecture,(
% 4.70/1.08 (! [A,B,C,D,E,F,G,H] :( ( para(A,B,C,D)& para(A,C,B,D)& coll(E,C,D)& para(A,D,F,E)& coll(F,A,B)& coll(G,D,F)& coll(G,A,E)& coll(H,B,E)& coll(H,C,F) )=> para(G,H,A,B) ) )),
% 4.70/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.70/1.08 fof(f96,negated_conjecture,(
% 4.70/1.08 ~((! [A,B,C,D,E,F,G,H] :( ( para(A,B,C,D)& para(A,C,B,D)& coll(E,C,D)& para(A,D,F,E)& coll(F,A,B)& coll(G,D,F)& coll(G,A,E)& coll(H,B,E)& coll(H,C,F) )=> para(G,H,A,B) ) ))),
% 4.70/1.08 inference(negated_conjecture,[status(cth)],[f95])).
% 4.70/1.08 fof(f97,plain,(
% 4.70/1.08 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 4.70/1.08 fof(f98,plain,(
% 4.70/1.08 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f97])).
% 4.70/1.08 fof(f99,plain,(
% 4.70/1.08 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 4.70/1.08 fof(f100,plain,(
% 4.70/1.08 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f99])).
% 4.70/1.08 fof(f101,plain,(
% 4.70/1.08 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 4.70/1.08 fof(f102,plain,(
% 4.70/1.08 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f101])).
% 4.70/1.08 fof(f103,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f102])).
% 4.70/1.08 fof(f106,plain,(
% 4.70/1.08 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 4.70/1.08 fof(f107,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f106])).
% 4.70/1.08 fof(f108,plain,(
% 4.70/1.08 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 4.70/1.08 fof(f109,plain,(
% 4.70/1.08 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f108])).
% 4.70/1.08 fof(f110,plain,(
% 4.70/1.08 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f109])).
% 4.70/1.08 fof(f115,plain,(
% 4.70/1.08 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 4.70/1.08 fof(f116,plain,(
% 4.70/1.08 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f115])).
% 4.70/1.08 fof(f117,plain,(
% 4.70/1.08 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f116])).
% 4.70/1.08 fof(f128,plain,(
% 4.70/1.08 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 4.70/1.08 fof(f129,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f128])).
% 4.70/1.08 fof(f130,plain,(
% 4.70/1.08 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 4.70/1.08 fof(f131,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f130])).
% 4.70/1.08 fof(f134,plain,(
% 4.70/1.08 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 4.70/1.08 fof(f135,plain,(
% 4.70/1.08 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f134])).
% 4.70/1.08 fof(f136,plain,(
% 4.70/1.08 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f135])).
% 4.70/1.08 fof(f141,plain,(
% 4.70/1.08 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 4.70/1.08 fof(f142,plain,(
% 4.70/1.08 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f141])).
% 4.70/1.08 fof(f143,plain,(
% 4.70/1.08 ![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))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 4.70/1.08 fof(f144,plain,(
% 4.70/1.08 ![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))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f143])).
% 4.70/1.08 fof(f187,plain,(
% 4.70/1.08 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 4.70/1.08 fof(f188,plain,(
% 4.70/1.08 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f187])).
% 4.70/1.08 fof(f189,plain,(
% 4.70/1.08 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f188])).
% 4.70/1.08 fof(f190,plain,(
% 4.70/1.08 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 4.70/1.08 fof(f191,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f190])).
% 4.70/1.08 fof(f194,plain,(
% 4.70/1.08 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 4.70/1.08 fof(f195,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f194])).
% 4.70/1.08 fof(f196,plain,(
% 4.70/1.08 ![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))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 4.70/1.08 fof(f197,plain,(
% 4.70/1.08 ![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))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f196])).
% 4.70/1.08 fof(f198,plain,(
% 4.70/1.08 ![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))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f197])).
% 4.70/1.08 fof(f220,plain,(
% 4.70/1.08 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 4.70/1.08 fof(f221,plain,(
% 4.70/1.08 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f220])).
% 4.70/1.08 fof(f222,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f221])).
% 4.70/1.08 fof(f231,plain,(
% 4.70/1.08 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 4.70/1.08 fof(f232,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f231])).
% 4.70/1.08 fof(f233,plain,(
% 4.70/1.08 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 4.70/1.08 fof(f234,plain,(
% 4.70/1.08 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f233])).
% 4.70/1.08 fof(f235,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f234])).
% 4.70/1.08 fof(f255,plain,(
% 4.70/1.08 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 4.70/1.08 fof(f256,plain,(
% 4.70/1.08 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f255])).
% 4.70/1.08 fof(f257,plain,(
% 4.70/1.08 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 4.70/1.08 fof(f258,plain,(
% 4.70/1.08 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f257])).
% 4.70/1.08 fof(f269,plain,(
% 4.70/1.08 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 4.70/1.08 fof(f270,plain,(
% 4.70/1.08 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V)))|para(A,B,C,D))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f269])).
% 4.70/1.08 fof(f271,plain,(
% 4.70/1.08 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~para(X4,X5,X6,X7)|para(X0,X1,X2,X3))),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f270])).
% 4.70/1.08 fof(f369,plain,(
% 4.70/1.08 (?[A,B,C,D,E,F,G,H]: (((((((((para(A,B,C,D)¶(A,C,B,D))&coll(E,C,D))¶(A,D,F,E))&coll(F,A,B))&coll(G,D,F))&coll(G,A,E))&coll(H,B,E))&coll(H,C,F))&~para(G,H,A,B)))),
% 4.70/1.08 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 4.70/1.08 fof(f370,plain,(
% 4.70/1.08 ?[A,B,G,H]: ((?[C,F]: ((?[E]: (((?[D]: (((((para(A,B,C,D)¶(A,C,B,D))&coll(E,C,D))¶(A,D,F,E))&coll(F,A,B))&coll(G,D,F)))&coll(G,A,E))&coll(H,B,E)))&coll(H,C,F)))&~para(G,H,A,B))),
% 4.70/1.08 inference(miniscoping,[status(thm)],[f369])).
% 4.70/1.08 fof(f371,plain,(
% 4.70/1.08 (((((((((para(sK20_skl,sK21_skl,sK24_skl,sK27_skl)¶(sK20_skl,sK24_skl,sK21_skl,sK27_skl))&coll(sK26_skl,sK24_skl,sK27_skl))¶(sK20_skl,sK27_skl,sK25_skl,sK26_skl))&coll(sK25_skl,sK20_skl,sK21_skl))&coll(sK22_skl,sK27_skl,sK25_skl))&coll(sK22_skl,sK20_skl,sK26_skl))&coll(sK23_skl,sK21_skl,sK26_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~para(sK22_skl,sK23_skl,sK20_skl,sK21_skl))),
% 4.70/1.08 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(G,sK22_skl),skolemize(H,sK23_skl),skolemize(C,sK24_skl),skolemize(F,sK25_skl),skolemize(E,sK26_skl),skolemize(D,sK27_skl)],[f370])).
% 4.70/1.08 fof(f372,plain,(
% 4.70/1.08 para(sK20_skl,sK21_skl,sK24_skl,sK27_skl)),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f371])).
% 4.70/1.08 fof(f375,plain,(
% 4.70/1.08 para(sK20_skl,sK27_skl,sK25_skl,sK26_skl)),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f371])).
% 4.70/1.08 fof(f381,plain,(
% 4.70/1.08 ~para(sK22_skl,sK23_skl,sK20_skl,sK21_skl)),
% 4.70/1.08 inference(cnf_transformation,[status(thm)],[f371])).
% 4.70/1.08 fof(f403,plain,(
% 4.70/1.08 para(sK24_skl,sK27_skl,sK20_skl,sK21_skl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f107,f372])).
% 4.70/1.08 fof(f405,plain,(
% 4.70/1.08 ![X0,X1]: (~para(sK24_skl,sK27_skl,X0,X1)|para(sK20_skl,sK21_skl,X0,X1))),
% 4.70/1.08 inference(resolution,[status(thm)],[f110,f372])).
% 4.70/1.08 fof(f412,plain,(
% 4.70/1.08 ![X0,X1]: (~para(sK25_skl,sK26_skl,X0,X1)|para(sK20_skl,sK27_skl,X0,X1))),
% 4.70/1.08 inference(resolution,[status(thm)],[f375,f110])).
% 4.70/1.08 fof(f413,plain,(
% 4.70/1.08 para(sK25_skl,sK26_skl,sK20_skl,sK27_skl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f375,f107])).
% 4.70/1.08 fof(f421,plain,(
% 4.70/1.08 ![X0,X1]: (eqangle(sK20_skl,sK27_skl,X0,X1,sK25_skl,sK26_skl,X0,X1))),
% 4.70/1.08 inference(resolution,[status(thm)],[f189,f375])).
% 4.70/1.08 fof(f499,plain,(
% 4.70/1.08 para(sK20_skl,sK21_skl,sK20_skl,sK21_skl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f405,f403])).
% 4.70/1.08 fof(f518,plain,(
% 4.70/1.08 para(sK20_skl,sK27_skl,sK20_skl,sK27_skl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f413,f412])).
% 4.70/1.08 fof(f536,plain,(
% 4.70/1.08 ![X0,X1]: (eqangle(sK20_skl,sK27_skl,sK25_skl,sK26_skl,X0,X1,X0,X1))),
% 4.70/1.08 inference(resolution,[status(thm)],[f421,f144])).
% 4.70/1.08 fof(f766,plain,(
% 4.70/1.08 ![X0,X1]: (eqangle(sK20_skl,sK21_skl,X0,X1,sK20_skl,sK21_skl,X0,X1))),
% 4.70/1.08 inference(resolution,[status(thm)],[f499,f189])).
% 4.70/1.08 fof(f865,plain,(
% 4.70/1.08 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK20_skl,sK27_skl,sK25_skl,sK26_skl))),
% 4.70/1.08 inference(resolution,[status(thm)],[f536,f142])).
% 4.70/1.08 fof(f868,plain,(
% 4.70/1.08 ![X0,X1]: (~para(X0,X1,X0,X1)|para(sK20_skl,sK27_skl,sK25_skl,sK26_skl))),
% 4.70/1.08 inference(resolution,[status(thm)],[f536,f271])).
% 4.70/1.08 fof(f877,definition,(
% 4.70/1.08 ![X0,X1]: (sQ10_spl <=> (~para(X0,X1,X0,X1)))),
% 4.70/1.08 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 4.70/1.08 fof(f878,plain,(
% 4.70/1.08 ![X0,X1]: (~para(X0,X1,X0,X1)|~sQ10_spl)),
% 4.70/1.08 inference(component_clause,[status(thm)],[f877])).
% 4.70/1.08 fof(f880,definition,(
% 4.70/1.08 sQ11_spl <=> (para(sK20_skl,sK27_skl,sK25_skl,sK26_skl))),
% 4.70/1.08 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 4.70/1.08 fof(f883,plain,(
% 4.70/1.08 sQ10_spl|sQ11_spl),
% 4.70/1.08 inference(split_clause,[status(thm)],[f868,f877,f880])).
% 4.70/1.08 fof(f884,plain,(
% 4.70/1.08 $false|~sQ10_spl),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f518,f878])).
% 4.70/1.08 fof(f887,plain,(
% 4.70/1.08 ~sQ10_spl),
% 4.70/1.08 inference(contradiction_clause,[status(thm)],[f884])).
% 4.70/1.08 fof(f2363,plain,(
% 4.70/1.08 ![X0,X1]: (~para(sK20_skl,sK27_skl,sK25_skl,sK26_skl)|para(X0,X1,X0,X1))),
% 4.70/1.08 inference(resolution,[status(thm)],[f865,f271])).
% 4.70/1.08 fof(f2369,definition,(
% 4.70/1.08 ![X0,X1]: (sQ138_spl <=> (para(X0,X1,X0,X1)))),
% 4.70/1.08 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 4.70/1.08 fof(f2370,plain,(
% 4.70/1.08 ![X0,X1]: (para(X0,X1,X0,X1)|~sQ138_spl)),
% 4.70/1.08 inference(component_clause,[status(thm)],[f2369])).
% 4.70/1.08 fof(f2372,plain,(
% 4.70/1.08 ~sQ11_spl|sQ138_spl),
% 4.70/1.08 inference(split_clause,[status(thm)],[f2363,f880,f2369])).
% 4.70/1.08 fof(f2409,plain,(
% 4.70/1.08 ![X0,X1]: (coll(X0,X1,X1)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f2370,f256])).
% 4.70/1.08 fof(f2455,plain,(
% 4.70/1.08 ![X0,X1]: (coll(X0,X1,X0)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f2409,f100])).
% 4.70/1.08 fof(f2531,plain,(
% 4.70/1.08 ![X0,X1]: (coll(X0,X0,X1)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f2455,f98])).
% 4.70/1.08 fof(f2782,plain,(
% 4.70/1.08 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X2,X1,X0)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f2531,f103])).
% 4.70/1.08 fof(f2860,plain,(
% 4.70/1.08 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ138_spl)),
% 4.70/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2782,f2531])).
% 4.70/1.08 fof(f2881,plain,(
% 4.70/1.08 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~sQ138_spl)),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f258,f2860])).
% 4.70/1.08 fof(f2886,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ138_spl)),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f195,f2860])).
% 4.70/1.08 fof(f2981,plain,(
% 4.70/1.08 ![X0]: (cyclic(sK21_skl,X0,sK20_skl,sK20_skl)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f2886,f766])).
% 4.70/1.08 fof(f4287,plain,(
% 4.70/1.08 ![X0]: (cyclic(sK21_skl,sK20_skl,X0,sK20_skl)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f2981,f131])).
% 4.70/1.08 fof(f4361,plain,(
% 4.70/1.08 ![X0]: (cyclic(sK21_skl,sK20_skl,sK20_skl,X0)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f4287,f129])).
% 4.70/1.08 fof(f4469,plain,(
% 4.70/1.08 ![X0,X1]: (~cyclic(sK21_skl,sK20_skl,sK20_skl,X0)|cyclic(sK20_skl,sK20_skl,X1,X0)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f4361,f136])).
% 4.70/1.08 fof(f4480,plain,(
% 4.70/1.08 ![X0,X1]: (cyclic(sK20_skl,sK20_skl,X0,X1)|~sQ138_spl)),
% 4.70/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4469,f4361])).
% 4.70/1.08 fof(f4487,plain,(
% 4.70/1.08 ![X0,X1,X2]: (~cyclic(sK20_skl,sK20_skl,X0,X1)|cyclic(sK20_skl,X0,X2,X1)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f4480,f136])).
% 4.70/1.08 fof(f4498,plain,(
% 4.70/1.08 ![X0,X1,X2]: (cyclic(sK20_skl,X0,X1,X2)|~sQ138_spl)),
% 4.70/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4487,f4480])).
% 4.70/1.08 fof(f4510,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~cyclic(sK20_skl,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f4498,f136])).
% 4.70/1.08 fof(f4514,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ138_spl)),
% 4.70/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4510,f4498])).
% 4.70/1.08 fof(f4516,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ138_spl)),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f235,f4514])).
% 4.70/1.08 fof(f4517,plain,(
% 4.70/1.08 ![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)|~sQ138_spl)),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f198,f4514])).
% 4.70/1.08 fof(f4520,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ138_spl)),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f191,f4514])).
% 4.70/1.08 fof(f4521,plain,(
% 4.70/1.08 ![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)|~sQ138_spl)),
% 4.70/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4517,f4514])).
% 4.70/1.08 fof(f4522,plain,(
% 4.70/1.08 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~sQ138_spl)),
% 4.70/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4521,f4514])).
% 4.70/1.08 fof(f4701,plain,(
% 4.70/1.08 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f4520,f4522])).
% 4.70/1.08 fof(f4758,plain,(
% 4.70/1.08 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X2,X0,X0,X1)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f4701,f4516])).
% 4.70/1.08 fof(f4765,plain,(
% 4.70/1.08 ![X0,X1]: (midp(X0,X1,X1)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f4701,f2881])).
% 4.70/1.08 fof(f4770,plain,(
% 4.70/1.08 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ138_spl)),
% 4.70/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4758,f4701])).
% 4.70/1.08 fof(f4838,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~sQ138_spl)),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f222,f4770])).
% 4.70/1.08 fof(f4944,plain,(
% 4.70/1.08 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~sQ138_spl)),
% 4.70/1.08 inference(resolution,[status(thm)],[f4838,f4765])).
% 4.70/1.08 fof(f5245,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3)|~sQ138_spl)),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f232,f4944])).
% 4.70/1.08 fof(f5258,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~sQ138_spl)),
% 4.70/1.08 inference(forward_subsumption_resolution,[status(thm)],[f5245,f4944])).
% 4.70/1.08 fof(f5259,plain,(
% 4.70/1.08 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X0,X1,X4,X5)|~sQ138_spl)),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f117,f5258])).
% 4.70/1.08 fof(f5261,plain,(
% 4.70/1.08 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~sQ138_spl)),
% 4.70/1.08 inference(forward_subsumption_resolution,[status(thm)],[f5259,f5258])).
% 4.70/1.08 fof(f5264,plain,(
% 4.70/1.08 $false|~sQ138_spl),
% 4.70/1.08 inference(backward_subsumption_resolution,[status(thm)],[f381,f5261])).
% 4.70/1.08 fof(f5270,plain,(
% 4.70/1.08 ~sQ138_spl),
% 4.70/1.08 inference(contradiction_clause,[status(thm)],[f5264])).
% 4.70/1.08 fof(f5271,plain,(
% 4.70/1.08 $false),
% 4.70/1.08 inference(sat_refutation,[status(thm)],[f883,f887,f2372,f5270])).
% 4.70/1.10 % SZS output end CNFRefutation for theBenchmark.p
% 0.28/1.11 % Elapsed time: 0.736990 seconds
% 0.28/1.11 % CPU time: 5.487432 seconds
% 0.28/1.11 % Total memory used: 123.215 MB
% 0.28/1.11 % Net memory used: 117.260 MB
%------------------------------------------------------------------------------