%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO623+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 : n004.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 12:26:44 PM UTC 2026
% Result : Theorem 18.22s 2.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO623+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 18:05:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 18.22/2.75 % Refutation found
% 18.22/2.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.22/2.75 % SZS output start CNFRefutation for theBenchmark
% 18.22/2.75 fof(f1,axiom,(
% 18.22/2.75 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f2,axiom,(
% 18.22/2.75 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f3,axiom,(
% 18.22/2.75 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f11,axiom,(
% 18.22/2.75 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f14,axiom,(
% 18.22/2.75 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f15,axiom,(
% 18.22/2.75 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f17,axiom,(
% 18.22/2.75 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f40,axiom,(
% 18.22/2.75 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f43,axiom,(
% 18.22/2.75 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f44,axiom,(
% 18.22/2.75 (! [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) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f53,axiom,(
% 18.22/2.75 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f56,axiom,(
% 18.22/2.75 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f57,axiom,(
% 18.22/2.75 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f58,axiom,(
% 18.22/2.75 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f64,axiom,(
% 18.22/2.75 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f68,axiom,(
% 18.22/2.75 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f70,axiom,(
% 18.22/2.75 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f83,axiom,(
% 18.22/2.75 (! [A,B,C,D,M,N,Q] :(? [P] :( ( midp(M,A,B)& midp(N,C,D)& coll(C,A,B)& coll(D,A,B) )=> midp(P,A,Q) ) ))),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f95,conjecture,(
% 18.22/2.75 (! [A,B,C,D,E,F,G,H] :( ( midp(D,C,A)& midp(E,B,C)& midp(F,A,B)& eqangle(G,B,B,C,G,B,B,A)& coll(G,D,F)& coll(H,B,G)& coll(H,D,E) )=> cong(D,G,D,H) ) )),
% 18.22/2.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.75 fof(f96,negated_conjecture,(
% 18.22/2.75 ~((! [A,B,C,D,E,F,G,H] :( ( midp(D,C,A)& midp(E,B,C)& midp(F,A,B)& eqangle(G,B,B,C,G,B,B,A)& coll(G,D,F)& coll(H,B,G)& coll(H,D,E) )=> cong(D,G,D,H) ) ))),
% 18.22/2.75 inference(negated_conjecture,[status(cth)],[f95])).
% 18.22/2.75 fof(f97,plain,(
% 18.22/2.75 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 18.22/2.75 fof(f98,plain,(
% 18.22/2.75 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f97])).
% 18.22/2.75 fof(f99,plain,(
% 18.22/2.75 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 18.22/2.75 fof(f100,plain,(
% 18.22/2.75 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f99])).
% 18.22/2.75 fof(f101,plain,(
% 18.22/2.75 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 18.22/2.75 fof(f102,plain,(
% 18.22/2.75 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f101])).
% 18.22/2.75 fof(f103,plain,(
% 18.22/2.75 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f102])).
% 18.22/2.75 fof(f121,plain,(
% 18.22/2.75 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 18.22/2.75 fof(f122,plain,(
% 18.22/2.75 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f121])).
% 18.22/2.75 fof(f128,plain,(
% 18.22/2.75 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 18.22/2.75 fof(f129,plain,(
% 18.22/2.75 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f128])).
% 18.22/2.75 fof(f130,plain,(
% 18.22/2.75 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 18.22/2.75 fof(f131,plain,(
% 18.22/2.75 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f130])).
% 18.22/2.75 fof(f134,plain,(
% 18.22/2.75 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 18.22/2.75 fof(f135,plain,(
% 18.22/2.75 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f134])).
% 18.22/2.75 fof(f136,plain,(
% 18.22/2.75 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f135])).
% 18.22/2.75 fof(f187,plain,(
% 18.22/2.75 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 18.22/2.75 fof(f188,plain,(
% 18.22/2.75 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f187])).
% 18.22/2.75 fof(f189,plain,(
% 18.22/2.75 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f188])).
% 18.22/2.75 fof(f194,plain,(
% 18.22/2.75 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 18.22/2.75 fof(f195,plain,(
% 18.22/2.75 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f194])).
% 18.22/2.75 fof(f196,plain,(
% 18.22/2.75 ![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))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 18.22/2.75 fof(f197,plain,(
% 18.22/2.75 ![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))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f196])).
% 18.22/2.75 fof(f198,plain,(
% 18.22/2.75 ![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))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f197])).
% 18.22/2.75 fof(f220,plain,(
% 18.22/2.75 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 18.22/2.75 fof(f221,plain,(
% 18.22/2.75 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f220])).
% 18.22/2.75 fof(f222,plain,(
% 18.22/2.75 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f221])).
% 18.22/2.75 fof(f228,plain,(
% 18.22/2.75 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 18.22/2.75 fof(f229,plain,(
% 18.22/2.75 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f228])).
% 18.22/2.75 fof(f230,plain,(
% 18.22/2.75 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f229])).
% 18.22/2.75 fof(f231,plain,(
% 18.22/2.75 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 18.22/2.75 fof(f232,plain,(
% 18.22/2.75 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f231])).
% 18.22/2.75 fof(f233,plain,(
% 18.22/2.75 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 18.22/2.75 fof(f234,plain,(
% 18.22/2.75 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f233])).
% 18.22/2.75 fof(f235,plain,(
% 18.22/2.75 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f234])).
% 18.22/2.75 fof(f247,plain,(
% 18.22/2.75 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 18.22/2.75 fof(f248,plain,(
% 18.22/2.75 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f247])).
% 18.22/2.75 fof(f249,plain,(
% 18.22/2.75 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f248])).
% 18.22/2.75 fof(f257,plain,(
% 18.22/2.75 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 18.22/2.75 fof(f258,plain,(
% 18.22/2.75 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f257])).
% 18.22/2.75 fof(f261,plain,(
% 18.22/2.75 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f70])).
% 18.22/2.75 fof(f262,plain,(
% 18.22/2.75 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f261])).
% 18.22/2.75 fof(f309,plain,(
% 18.22/2.75 ![A,B,C,D,M,N,Q]: (?[P]: ((((~midp(M,A,B)|~midp(N,C,D))|~coll(C,A,B))|~coll(D,A,B))|midp(P,A,Q)))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 18.22/2.75 fof(f310,plain,(
% 18.22/2.75 ![A]: ((![B,D]: ((![C]: (((![M]: ~midp(M,A,B))|(![N]: ~midp(N,C,D)))|~coll(C,A,B)))|~coll(D,A,B)))|(![Q]: ?[P]: midp(P,A,Q)))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f309])).
% 18.22/2.75 fof(f311,plain,(
% 18.22/2.75 ![A]: ((![B,D]: ((![C]: (((![M]: ~midp(M,A,B))|(![N]: ~midp(N,C,D)))|~coll(C,A,B)))|~coll(D,A,B)))|(![Q]: midp(sK6_skl(Q,A),A,Q)))),
% 18.22/2.75 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310])).
% 18.22/2.75 fof(f312,plain,(
% 18.22/2.75 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|~coll(X4,X1,X2)|~coll(X5,X1,X2)|midp(sK6_skl(X6,X1),X1,X6))),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f311])).
% 18.22/2.75 fof(f369,plain,(
% 18.22/2.75 (?[A,B,C,D,E,F,G,H]: (((((((midp(D,C,A)&midp(E,B,C))&midp(F,A,B))&eqangle(G,B,B,C,G,B,B,A))&coll(G,D,F))&coll(H,B,G))&coll(H,D,E))&~cong(D,G,D,H)))),
% 18.22/2.75 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 18.22/2.75 fof(f370,plain,(
% 18.22/2.75 ?[D,G,H]: ((?[E]: ((?[B]: ((?[F]: ((?[A,C]: (((midp(D,C,A)&midp(E,B,C))&midp(F,A,B))&eqangle(G,B,B,C,G,B,B,A)))&coll(G,D,F)))&coll(H,B,G)))&coll(H,D,E)))&~cong(D,G,D,H))),
% 18.22/2.75 inference(miniscoping,[status(thm)],[f369])).
% 18.22/2.75 fof(f371,plain,(
% 18.22/2.75 (((((((midp(sK20_skl,sK27_skl,sK26_skl)&midp(sK23_skl,sK24_skl,sK27_skl))&midp(sK25_skl,sK26_skl,sK24_skl))&eqangle(sK21_skl,sK24_skl,sK24_skl,sK27_skl,sK21_skl,sK24_skl,sK24_skl,sK26_skl))&coll(sK21_skl,sK20_skl,sK25_skl))&coll(sK22_skl,sK24_skl,sK21_skl))&coll(sK22_skl,sK20_skl,sK23_skl))&~cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl))),
% 18.22/2.75 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(D,sK20_skl),skolemize(G,sK21_skl),skolemize(H,sK22_skl),skolemize(E,sK23_skl),skolemize(B,sK24_skl),skolemize(F,sK25_skl),skolemize(A,sK26_skl),skolemize(C,sK27_skl)],[f370])).
% 18.22/2.75 fof(f372,plain,(
% 18.22/2.75 midp(sK20_skl,sK27_skl,sK26_skl)),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f371])).
% 18.22/2.75 fof(f374,plain,(
% 18.22/2.75 midp(sK25_skl,sK26_skl,sK24_skl)),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f371])).
% 18.22/2.75 fof(f379,plain,(
% 18.22/2.75 ~cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl)),
% 18.22/2.75 inference(cnf_transformation,[status(thm)],[f371])).
% 18.22/2.75 fof(f461,plain,(
% 18.22/2.75 midp(sK25_skl,sK24_skl,sK26_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f122,f374])).
% 18.22/2.75 fof(f463,plain,(
% 18.22/2.75 midp(sK20_skl,sK26_skl,sK27_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f122,f372])).
% 18.22/2.75 fof(f781,plain,(
% 18.22/2.75 coll(sK25_skl,sK24_skl,sK26_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f262,f461])).
% 18.22/2.75 fof(f782,plain,(
% 18.22/2.75 coll(sK25_skl,sK26_skl,sK24_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f262,f374])).
% 18.22/2.75 fof(f785,plain,(
% 18.22/2.75 coll(sK20_skl,sK26_skl,sK27_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f262,f463])).
% 18.22/2.75 fof(f786,plain,(
% 18.22/2.75 coll(sK20_skl,sK27_skl,sK26_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f262,f372])).
% 18.22/2.75 fof(f912,plain,(
% 18.22/2.75 coll(sK24_skl,sK25_skl,sK26_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f781,f100])).
% 18.22/2.75 fof(f918,plain,(
% 18.22/2.75 coll(sK26_skl,sK25_skl,sK24_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f782,f100])).
% 18.22/2.75 fof(f936,plain,(
% 18.22/2.75 coll(sK26_skl,sK20_skl,sK27_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f785,f100])).
% 18.22/2.75 fof(f942,plain,(
% 18.22/2.75 coll(sK27_skl,sK20_skl,sK26_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f786,f100])).
% 18.22/2.75 fof(f1078,plain,(
% 18.22/2.75 coll(sK26_skl,sK26_skl,sK24_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f912,f103])).
% 18.22/2.75 fof(f1108,plain,(
% 18.22/2.75 coll(sK24_skl,sK24_skl,sK26_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f918,f103])).
% 18.22/2.75 fof(f1188,plain,(
% 18.22/2.75 coll(sK27_skl,sK27_skl,sK26_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f936,f103])).
% 18.22/2.75 fof(f1211,plain,(
% 18.22/2.75 coll(sK26_skl,sK26_skl,sK27_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f942,f103])).
% 18.22/2.75 fof(f1274,plain,(
% 18.22/2.75 coll(sK24_skl,sK26_skl,sK24_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f1108,f98])).
% 18.22/2.75 fof(f1406,plain,(
% 18.22/2.75 coll(sK26_skl,sK27_skl,sK26_skl)),
% 18.22/2.75 inference(resolution,[status(thm)],[f1211,f98])).
% 18.22/2.75 fof(f2542,plain,(
% 18.22/2.75 ![X0]: (~coll(sK26_skl,sK26_skl,sK24_skl)|~coll(sK24_skl,sK26_skl,sK24_skl)|midp(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 18.22/2.75 inference(resolution,[status(thm)],[f312,f374])).
% 18.22/2.75 fof(f2550,plain,(
% 18.22/2.75 ![X0]: (~coll(sK27_skl,sK27_skl,sK26_skl)|~coll(sK26_skl,sK27_skl,sK26_skl)|midp(sK6_skl(X0,sK27_skl),sK27_skl,X0))),
% 18.22/2.75 inference(resolution,[status(thm)],[f312,f372])).
% 18.22/2.75 fof(f3033,plain,(
% 18.22/2.75 ![X0]: (~coll(sK24_skl,sK26_skl,sK24_skl)|midp(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 18.22/2.75 inference(forward_subsumption_resolution,[status(thm)],[f2542,f1078])).
% 18.22/2.75 fof(f3037,plain,(
% 18.22/2.75 ![X0]: (~coll(sK26_skl,sK27_skl,sK26_skl)|midp(sK6_skl(X0,sK27_skl),sK27_skl,X0))),
% 18.22/2.75 inference(forward_subsumption_resolution,[status(thm)],[f2550,f1188])).
% 18.22/2.75 fof(f7943,plain,(
% 18.22/2.75 ![X0]: (midp(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 18.22/2.75 inference(forward_subsumption_resolution,[status(thm)],[f3033,f1274])).
% 18.22/2.75 fof(f8005,plain,(
% 18.22/2.75 ![X0]: (coll(sK6_skl(X0,sK26_skl),sK26_skl,X0))),
% 18.22/2.75 inference(resolution,[status(thm)],[f7943,f262])).
% 18.22/2.75 fof(f8198,plain,(
% 18.22/2.75 ![X0]: (midp(sK6_skl(X0,sK27_skl),sK27_skl,X0))),
% 18.22/2.75 inference(forward_subsumption_resolution,[status(thm)],[f3037,f1406])).
% 18.22/2.75 fof(f8263,plain,(
% 18.22/2.75 ![X0]: (midp(sK6_skl(X0,sK27_skl),X0,sK27_skl))),
% 18.22/2.75 inference(resolution,[status(thm)],[f8198,f122])).
% 18.22/2.75 fof(f10256,plain,(
% 18.22/2.75 ![X0]: (coll(sK26_skl,sK6_skl(X0,sK26_skl),X0))),
% 18.22/2.75 inference(resolution,[status(thm)],[f8005,f100])).
% 18.22/2.75 fof(f12348,plain,(
% 18.22/2.75 ![X0]: (coll(X0,X0,sK26_skl))),
% 18.22/2.75 inference(resolution,[status(thm)],[f10256,f103])).
% 18.22/2.75 fof(f12391,plain,(
% 18.22/2.75 ![X0]: (coll(sK26_skl,sK26_skl,X0))),
% 18.22/2.75 inference(resolution,[status(thm)],[f12348,f103])).
% 18.22/2.75 fof(f12765,plain,(
% 18.22/2.75 ![X0,X1]: (~coll(sK26_skl,sK26_skl,X0)|coll(X0,X1,sK26_skl))),
% 18.22/2.75 inference(resolution,[status(thm)],[f12391,f103])).
% 18.22/2.75 fof(f12775,plain,(
% 18.22/2.75 ![X0,X1]: (coll(X0,X1,sK26_skl))),
% 18.22/2.75 inference(forward_subsumption_resolution,[status(thm)],[f12765,f12391])).
% 18.22/2.75 fof(f12831,plain,(
% 18.22/2.75 ![X0,X1]: (coll(X0,sK26_skl,X1))),
% 18.22/2.75 inference(resolution,[status(thm)],[f12775,f98])).
% 18.22/2.75 fof(f12923,plain,(
% 18.22/2.75 ![X0,X1,X2]: (~coll(X0,sK26_skl,X1)|coll(X1,X2,X0))),
% 18.22/2.75 inference(resolution,[status(thm)],[f12831,f103])).
% 18.22/2.75 fof(f12942,plain,(
% 18.22/2.75 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 18.22/2.75 inference(forward_subsumption_resolution,[status(thm)],[f12923,f12831])).
% 18.22/2.75 fof(f13019,plain,(
% 18.22/2.75 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 18.22/2.75 inference(backward_subsumption_resolution,[status(thm)],[f195,f12942])).
% 18.22/2.75 fof(f13020,plain,(
% 18.22/2.75 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 18.22/2.75 inference(backward_subsumption_resolution,[status(thm)],[f258,f12942])).
% 18.22/2.75 fof(f13026,plain,(
% 18.22/2.75 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|~coll(X4,X1,X2)|midp(sK6_skl(X6,X1),X1,X6))),
% 18.22/2.75 inference(backward_subsumption_resolution,[status(thm)],[f312,f12942])).
% 18.22/2.75 fof(f13032,plain,(
% 18.22/2.75 ![X0,X1,X2,X3,X4,X5,X6]: (~midp(X0,X1,X2)|~midp(X3,X4,X5)|midp(sK6_skl(X6,X1),X1,X6))),
% 18.22/2.75 inference(forward_subsumption_resolution,[status(thm)],[f13026,f12942])).
% 18.22/2.75 fof(f13070,plain,(
% 18.22/2.75 ![X0,X1]: (midp(sK6_skl(X0,X1),X1,X0))),
% 18.22/2.75 inference(resolution,[status(thm)],[f13032,f8263])).
% 18.22/2.75 fof(f13168,plain,(
% 18.22/2.75 ![X0,X1]: (para(X0,X0,X1,X1))),
% 18.22/2.75 inference(resolution,[status(thm)],[f13070,f249])).
% 18.22/2.76 fof(f13179,plain,(
% 18.22/2.76 ![X0,X1]: (midp(sK6_skl(X0,X1),X0,X1))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13070,f122])).
% 18.22/2.76 fof(f13327,plain,(
% 18.22/2.76 ![X0,X1,X2,X3]: (eqangle(X0,X0,X1,X2,X3,X3,X1,X2))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13168,f189])).
% 18.22/2.76 fof(f13665,plain,(
% 18.22/2.76 ![X0,X1]: (cyclic(X0,X1,X0,X0))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13327,f13019])).
% 18.22/2.76 fof(f13690,plain,(
% 18.22/2.76 ![X0,X1]: (cyclic(X0,X0,X1,X0))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13665,f131])).
% 18.22/2.76 fof(f13713,plain,(
% 18.22/2.76 ![X0,X1]: (cyclic(X0,X0,X0,X1))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13690,f129])).
% 18.22/2.76 fof(f13718,plain,(
% 18.22/2.76 ![X0,X1,X2]: (~cyclic(X0,X0,X0,X1)|cyclic(X0,X0,X1,X2))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13713,f136])).
% 18.22/2.76 fof(f13724,plain,(
% 18.22/2.76 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 18.22/2.76 inference(forward_subsumption_resolution,[status(thm)],[f13718,f13713])).
% 18.22/2.76 fof(f13741,plain,(
% 18.22/2.76 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13724,f136])).
% 18.22/2.76 fof(f13747,plain,(
% 18.22/2.76 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 18.22/2.76 inference(forward_subsumption_resolution,[status(thm)],[f13741,f13724])).
% 18.22/2.76 fof(f13775,plain,(
% 18.22/2.76 ![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))),
% 18.22/2.76 inference(backward_subsumption_resolution,[status(thm)],[f198,f13747])).
% 18.22/2.76 fof(f13777,plain,(
% 18.22/2.76 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 18.22/2.76 inference(backward_subsumption_resolution,[status(thm)],[f235,f13747])).
% 18.22/2.76 fof(f13779,plain,(
% 18.22/2.76 ![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))),
% 18.22/2.76 inference(forward_subsumption_resolution,[status(thm)],[f13775,f13747])).
% 18.22/2.76 fof(f13909,plain,(
% 18.22/2.76 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 18.22/2.76 inference(forward_subsumption_resolution,[status(thm)],[f13779,f13747])).
% 18.22/2.76 fof(f13911,plain,(
% 18.22/2.76 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13909,f13327])).
% 18.22/2.76 fof(f13954,plain,(
% 18.22/2.76 ![X0,X1]: (perp(X0,X1,X1,X0))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13911,f13777])).
% 18.22/2.76 fof(f13958,plain,(
% 18.22/2.76 ![X0,X1]: (midp(X0,X1,X1))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13911,f13020])).
% 18.22/2.76 fof(f14099,plain,(
% 18.22/2.76 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0))),
% 18.22/2.76 inference(resolution,[status(thm)],[f13954,f222])).
% 18.22/2.76 fof(f14107,plain,(
% 18.22/2.76 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 18.22/2.76 inference(forward_subsumption_resolution,[status(thm)],[f14099,f13958])).
% 18.22/2.76 fof(f14299,plain,(
% 18.22/2.76 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3))),
% 18.22/2.76 inference(backward_subsumption_resolution,[status(thm)],[f232,f14107])).
% 18.22/2.76 fof(f14324,plain,(
% 18.22/2.76 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 18.22/2.76 inference(forward_subsumption_resolution,[status(thm)],[f14299,f14107])).
% 18.22/2.76 fof(f14477,plain,(
% 18.22/2.76 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X3,X1,X3,X2))),
% 18.22/2.76 inference(backward_subsumption_resolution,[status(thm)],[f230,f14324])).
% 18.22/2.76 fof(f14514,plain,(
% 18.22/2.76 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 18.22/2.76 inference(resolution,[status(thm)],[f14477,f13179])).
% 18.22/2.76 fof(f14685,plain,(
% 18.22/2.76 $false),
% 18.22/2.76 inference(backward_subsumption_resolution,[status(thm)],[f379,f14514])).
% 18.22/2.76 % SZS output end CNFRefutation for theBenchmark.p
% 18.22/2.78 % Elapsed time: 2.401735 seconds
% 18.22/2.78 % CPU time: 18.702184 seconds
% 18.22/2.78 % Total memory used: 213.518 MB
% 18.22/2.78 % Net memory used: 198.521 MB
%------------------------------------------------------------------------------