%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO546+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 : n016.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 12:26:37 PM UTC 2026
% Result : Theorem 0.39s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO546+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
% 0.08/0.33 % Computer : n016.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sun Sep 20 17:26:36 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.39/0.68 % Refutation found
% 0.39/0.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.39/0.68 % SZS output start CNFRefutation for theBenchmark
% 0.39/0.68 fof(f1,axiom,(
% 0.39/0.68 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f2,axiom,(
% 0.39/0.68 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f3,axiom,(
% 0.39/0.68 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f4,axiom,(
% 0.39/0.68 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f7,axiom,(
% 0.39/0.68 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f8,axiom,(
% 0.39/0.68 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f9,axiom,(
% 0.39/0.68 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f14,axiom,(
% 0.39/0.68 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f15,axiom,(
% 0.39/0.68 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f16,axiom,(
% 0.39/0.68 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f17,axiom,(
% 0.39/0.68 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f19,axiom,(
% 0.39/0.68 (! [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) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f39,axiom,(
% 0.39/0.68 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f40,axiom,(
% 0.39/0.68 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f41,axiom,(
% 0.39/0.68 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f43,axiom,(
% 0.39/0.68 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f44,axiom,(
% 0.39/0.68 (! [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) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f46,axiom,(
% 0.39/0.68 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f53,axiom,(
% 0.39/0.68 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f56,axiom,(
% 0.39/0.68 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f57,axiom,(
% 0.39/0.68 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f58,axiom,(
% 0.39/0.68 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f67,axiom,(
% 0.39/0.68 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f68,axiom,(
% 0.39/0.68 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f95,conjecture,(
% 0.39/0.68 (! [A,B,C,E,F,H] :( ( perp(E,C,A,B)& coll(E,A,B)& perp(F,A,B,C)& coll(F,B,C)& coll(H,C,E)& coll(H,A,F) )=> perp(B,H,A,C) ) )),
% 0.39/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.39/0.68 fof(f96,negated_conjecture,(
% 0.39/0.68 ~((! [A,B,C,E,F,H] :( ( perp(E,C,A,B)& coll(E,A,B)& perp(F,A,B,C)& coll(F,B,C)& coll(H,C,E)& coll(H,A,F) )=> perp(B,H,A,C) ) ))),
% 0.39/0.68 inference(negated_conjecture,[status(cth)],[f95])).
% 0.39/0.68 fof(f97,plain,(
% 0.39/0.68 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.39/0.68 fof(f98,plain,(
% 0.39/0.68 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f97])).
% 0.39/0.68 fof(f99,plain,(
% 0.39/0.68 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.39/0.68 fof(f100,plain,(
% 0.39/0.68 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f99])).
% 0.39/0.68 fof(f101,plain,(
% 0.39/0.68 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.39/0.68 fof(f102,plain,(
% 0.39/0.68 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f101])).
% 0.39/0.68 fof(f103,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f102])).
% 0.39/0.68 fof(f104,plain,(
% 0.39/0.68 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.39/0.68 fof(f105,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f104])).
% 0.39/0.68 fof(f111,plain,(
% 0.39/0.68 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.39/0.68 fof(f112,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f111])).
% 0.39/0.68 fof(f113,plain,(
% 0.39/0.68 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.39/0.68 fof(f114,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f113])).
% 0.39/0.68 fof(f115,plain,(
% 0.39/0.68 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.39/0.68 fof(f116,plain,(
% 0.39/0.68 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f115])).
% 0.39/0.68 fof(f117,plain,(
% 0.39/0.68 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f116])).
% 0.39/0.68 fof(f128,plain,(
% 0.39/0.68 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.39/0.68 fof(f129,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f128])).
% 0.39/0.68 fof(f130,plain,(
% 0.39/0.68 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.39/0.68 fof(f131,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f130])).
% 0.39/0.68 fof(f132,plain,(
% 0.39/0.68 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.39/0.68 fof(f133,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f132])).
% 0.39/0.68 fof(f134,plain,(
% 0.39/0.68 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.39/0.68 fof(f135,plain,(
% 0.39/0.68 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f134])).
% 0.39/0.68 fof(f136,plain,(
% 0.39/0.68 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f135])).
% 0.39/0.68 fof(f139,plain,(
% 0.39/0.68 ![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))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.39/0.68 fof(f140,plain,(
% 0.39/0.68 ![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))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f139])).
% 0.39/0.68 fof(f184,plain,(
% 0.39/0.68 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.39/0.68 fof(f185,plain,(
% 0.39/0.68 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f184])).
% 0.39/0.68 fof(f186,plain,(
% 0.39/0.68 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f185])).
% 0.39/0.68 fof(f187,plain,(
% 0.39/0.68 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.39/0.68 fof(f188,plain,(
% 0.39/0.68 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f187])).
% 0.39/0.68 fof(f189,plain,(
% 0.39/0.68 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f188])).
% 0.39/0.68 fof(f190,plain,(
% 0.39/0.68 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.39/0.68 fof(f191,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f190])).
% 0.39/0.68 fof(f194,plain,(
% 0.39/0.68 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.39/0.68 fof(f195,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f194])).
% 0.39/0.68 fof(f196,plain,(
% 0.39/0.68 ![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))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.39/0.68 fof(f197,plain,(
% 0.39/0.68 ![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))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f196])).
% 0.39/0.68 fof(f198,plain,(
% 0.39/0.68 ![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))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f197])).
% 0.39/0.68 fof(f202,plain,(
% 0.39/0.68 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.39/0.68 fof(f203,plain,(
% 0.39/0.68 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f202])).
% 0.39/0.68 fof(f204,plain,(
% 0.39/0.68 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f203])).
% 0.39/0.68 fof(f220,plain,(
% 0.39/0.68 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.39/0.68 fof(f221,plain,(
% 0.39/0.68 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f220])).
% 0.39/0.68 fof(f222,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f221])).
% 0.39/0.68 fof(f228,plain,(
% 0.39/0.68 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 0.39/0.68 fof(f229,plain,(
% 0.39/0.68 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f228])).
% 0.39/0.68 fof(f230,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f229])).
% 0.39/0.68 fof(f231,plain,(
% 0.39/0.68 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.39/0.68 fof(f232,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f231])).
% 0.39/0.68 fof(f233,plain,(
% 0.39/0.68 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.39/0.68 fof(f234,plain,(
% 0.39/0.68 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f233])).
% 0.39/0.68 fof(f235,plain,(
% 0.39/0.68 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f234])).
% 0.39/0.68 fof(f255,plain,(
% 0.39/0.68 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.39/0.68 fof(f256,plain,(
% 0.39/0.68 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f255])).
% 0.39/0.68 fof(f257,plain,(
% 0.39/0.68 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.39/0.68 fof(f258,plain,(
% 0.39/0.68 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f257])).
% 0.39/0.68 fof(f369,plain,(
% 0.39/0.68 (?[A,B,C,E,F,H]: ((((((perp(E,C,A,B)&coll(E,A,B))&perp(F,A,B,C))&coll(F,B,C))&coll(H,C,E))&coll(H,A,F))&~perp(B,H,A,C)))),
% 0.39/0.68 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.39/0.68 fof(f370,plain,(
% 0.39/0.68 ?[A,B,C,H]: ((?[F]: ((?[E]: ((((perp(E,C,A,B)&coll(E,A,B))&perp(F,A,B,C))&coll(F,B,C))&coll(H,C,E)))&coll(H,A,F)))&~perp(B,H,A,C))),
% 0.39/0.68 inference(miniscoping,[status(thm)],[f369])).
% 0.39/0.68 fof(f371,plain,(
% 0.39/0.68 ((((((perp(sK25_skl,sK22_skl,sK20_skl,sK21_skl)&coll(sK25_skl,sK20_skl,sK21_skl))&perp(sK24_skl,sK20_skl,sK21_skl,sK22_skl))&coll(sK24_skl,sK21_skl,sK22_skl))&coll(sK23_skl,sK22_skl,sK25_skl))&coll(sK23_skl,sK20_skl,sK24_skl))&~perp(sK21_skl,sK23_skl,sK20_skl,sK22_skl))),
% 0.39/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(C,sK22_skl),skolemize(H,sK23_skl),skolemize(F,sK24_skl),skolemize(E,sK25_skl)],[f370])).
% 0.39/0.68 fof(f372,plain,(
% 0.39/0.68 perp(sK25_skl,sK22_skl,sK20_skl,sK21_skl)),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f371])).
% 0.39/0.68 fof(f378,plain,(
% 0.39/0.68 ~perp(sK21_skl,sK23_skl,sK20_skl,sK22_skl)),
% 0.39/0.68 inference(cnf_transformation,[status(thm)],[f371])).
% 0.39/0.68 fof(f416,plain,(
% 0.39/0.68 perp(sK25_skl,sK22_skl,sK21_skl,sK20_skl)),
% 0.39/0.68 inference(resolution,[status(thm)],[f112,f372])).
% 0.39/0.68 fof(f477,plain,(
% 0.39/0.68 perp(sK21_skl,sK20_skl,sK25_skl,sK22_skl)),
% 0.39/0.68 inference(resolution,[status(thm)],[f114,f416])).
% 0.39/0.68 fof(f478,plain,(
% 0.39/0.68 perp(sK20_skl,sK21_skl,sK25_skl,sK22_skl)),
% 0.39/0.68 inference(resolution,[status(thm)],[f114,f372])).
% 0.39/0.68 fof(f532,plain,(
% 0.39/0.68 ![X0,X1]: (~perp(X0,X1,sK25_skl,sK22_skl)|para(X0,X1,sK20_skl,sK21_skl))),
% 0.39/0.68 inference(resolution,[status(thm)],[f117,f372])).
% 0.39/0.68 fof(f573,plain,(
% 0.39/0.68 para(sK20_skl,sK21_skl,sK20_skl,sK21_skl)),
% 0.39/0.68 inference(resolution,[status(thm)],[f532,f478])).
% 0.39/0.68 fof(f574,plain,(
% 0.39/0.68 para(sK21_skl,sK20_skl,sK20_skl,sK21_skl)),
% 0.39/0.68 inference(resolution,[status(thm)],[f532,f477])).
% 0.39/0.68 fof(f600,plain,(
% 0.39/0.68 para(sK21_skl,sK20_skl,sK21_skl,sK20_skl)),
% 0.39/0.68 inference(resolution,[status(thm)],[f574,f105])).
% 0.39/0.68 fof(f619,plain,(
% 0.39/0.68 coll(sK21_skl,sK20_skl,sK20_skl)),
% 0.39/0.68 inference(resolution,[status(thm)],[f256,f600])).
% 0.39/0.68 fof(f629,plain,(
% 0.39/0.68 coll(sK20_skl,sK21_skl,sK20_skl)),
% 0.39/0.68 inference(resolution,[status(thm)],[f619,f100])).
% 0.39/0.68 fof(f644,plain,(
% 0.39/0.68 coll(sK20_skl,sK20_skl,sK21_skl)),
% 0.39/0.68 inference(resolution,[status(thm)],[f629,f98])).
% 0.39/0.68 fof(f1392,plain,(
% 0.39/0.68 ![X0,X1]: (eqangle(sK20_skl,sK21_skl,X0,X1,sK20_skl,sK21_skl,X0,X1))),
% 0.39/0.68 inference(resolution,[status(thm)],[f189,f573])).
% 0.39/0.68 fof(f1431,plain,(
% 0.39/0.68 ![X0,X1]: (eqangle(X0,X1,sK20_skl,sK21_skl,X0,X1,sK20_skl,sK21_skl))),
% 0.39/0.68 inference(resolution,[status(thm)],[f1392,f140])).
% 0.39/0.68 fof(f2661,plain,(
% 0.39/0.68 ![X0]: (~coll(sK20_skl,sK20_skl,sK21_skl)|cyclic(X0,sK21_skl,sK20_skl,sK20_skl))),
% 0.39/0.68 inference(resolution,[status(thm)],[f1431,f195])).
% 0.39/0.68 fof(f2663,plain,(
% 0.39/0.68 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.39/0.68 inference(resolution,[status(thm)],[f1431,f186])).
% 0.39/0.68 fof(f2670,plain,(
% 0.39/0.68 ![X0]: (cyclic(X0,sK21_skl,sK20_skl,sK20_skl))),
% 0.39/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2661,f644])).
% 0.39/0.68 fof(f2674,plain,(
% 0.39/0.68 ![X0,X1]: (coll(X0,X1,X1))),
% 0.39/0.68 inference(resolution,[status(thm)],[f2663,f256])).
% 0.39/0.68 fof(f2678,plain,(
% 0.39/0.68 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.39/0.68 inference(resolution,[status(thm)],[f2663,f105])).
% 0.39/0.68 fof(f2858,plain,(
% 0.39/0.68 ![X0,X1]: (coll(X0,X1,X0))),
% 0.39/0.68 inference(resolution,[status(thm)],[f2674,f100])).
% 0.39/0.68 fof(f3040,plain,(
% 0.39/0.68 ![X0,X1]: (coll(X0,X0,X1))),
% 0.39/0.68 inference(resolution,[status(thm)],[f2858,f98])).
% 0.39/0.68 fof(f3069,plain,(
% 0.39/0.68 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.39/0.68 inference(resolution,[status(thm)],[f3040,f103])).
% 0.39/0.68 fof(f3072,plain,(
% 0.39/0.68 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.39/0.68 inference(forward_subsumption_resolution,[status(thm)],[f3069,f3040])).
% 0.39/0.68 fof(f3075,plain,(
% 0.39/0.68 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 0.39/0.68 inference(backward_subsumption_resolution,[status(thm)],[f204,f3072])).
% 0.39/0.68 fof(f3093,plain,(
% 0.39/0.68 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0))),
% 0.39/0.68 inference(resolution,[status(thm)],[f3075,f2678])).
% 0.39/0.68 fof(f3097,plain,(
% 0.39/0.68 ![X0]: (cyclic(sK21_skl,X0,sK20_skl,sK20_skl))),
% 0.39/0.69 inference(resolution,[status(thm)],[f2670,f133])).
% 0.39/0.69 fof(f3103,plain,(
% 0.39/0.69 ![X0]: (cyclic(sK21_skl,sK20_skl,X0,sK20_skl))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3097,f131])).
% 0.39/0.69 fof(f3114,plain,(
% 0.39/0.69 ![X0]: (cyclic(sK21_skl,sK20_skl,sK20_skl,X0))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3103,f129])).
% 0.39/0.69 fof(f3141,plain,(
% 0.39/0.69 ![X0,X1]: (~cyclic(sK21_skl,sK20_skl,sK20_skl,X0)|cyclic(sK20_skl,sK20_skl,X0,X1))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3114,f136])).
% 0.39/0.69 fof(f3145,plain,(
% 0.39/0.69 ![X0,X1]: (cyclic(sK20_skl,sK20_skl,X0,X1))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3141,f3114])).
% 0.39/0.69 fof(f3147,plain,(
% 0.39/0.69 ![X0,X1,X2]: (~cyclic(sK20_skl,sK20_skl,X0,X1)|cyclic(sK20_skl,X0,X1,X2))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3145,f136])).
% 0.39/0.69 fof(f3151,plain,(
% 0.39/0.69 ![X0,X1,X2]: (cyclic(sK20_skl,X0,X1,X2))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3147,f3145])).
% 0.39/0.69 fof(f3153,plain,(
% 0.39/0.69 ![X0,X1,X2,X3]: (~cyclic(sK20_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3151,f136])).
% 0.39/0.69 fof(f3157,plain,(
% 0.39/0.69 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3153,f3151])).
% 0.39/0.69 fof(f3158,plain,(
% 0.39/0.69 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 0.39/0.69 inference(backward_subsumption_resolution,[status(thm)],[f235,f3157])).
% 0.39/0.69 fof(f3160,plain,(
% 0.39/0.69 ![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))),
% 0.39/0.69 inference(backward_subsumption_resolution,[status(thm)],[f198,f3157])).
% 0.39/0.69 fof(f3161,plain,(
% 0.39/0.69 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 0.39/0.69 inference(backward_subsumption_resolution,[status(thm)],[f191,f3157])).
% 0.39/0.69 fof(f3162,plain,(
% 0.39/0.69 ![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))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3160,f3157])).
% 0.39/0.69 fof(f3171,plain,(
% 0.39/0.69 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f258,f3072])).
% 0.39/0.69 fof(f3203,plain,(
% 0.39/0.69 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3162,f3157])).
% 0.39/0.69 fof(f3205,plain,(
% 0.39/0.69 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3203,f3161])).
% 0.39/0.69 fof(f3208,plain,(
% 0.39/0.69 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3205,f3158])).
% 0.39/0.69 fof(f3209,plain,(
% 0.39/0.69 ![X0,X1]: (midp(X0,X1,X1))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3205,f3171])).
% 0.39/0.69 fof(f3216,plain,(
% 0.39/0.69 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3208,f3205])).
% 0.39/0.69 fof(f3219,plain,(
% 0.39/0.69 ![X0,X1]: (midp(X0,X0,X1))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3209,f3093])).
% 0.39/0.69 fof(f3234,plain,(
% 0.39/0.69 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0))),
% 0.39/0.69 inference(backward_subsumption_resolution,[status(thm)],[f222,f3216])).
% 0.39/0.69 fof(f3254,plain,(
% 0.39/0.69 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1))),
% 0.39/0.69 inference(resolution,[status(thm)],[f3216,f230])).
% 0.39/0.69 fof(f3258,plain,(
% 0.39/0.69 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3254,f3219])).
% 0.39/0.69 fof(f3300,plain,(
% 0.39/0.69 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 0.39/0.69 inference(backward_subsumption_resolution,[status(thm)],[f3171,f3258])).
% 0.39/0.69 fof(f3371,plain,(
% 0.39/0.69 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1))),
% 0.39/0.69 inference(backward_subsumption_resolution,[status(thm)],[f232,f3372])).
% 0.39/0.69 fof(f3372,plain,(
% 0.39/0.69 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3234,f3300])).
% 0.39/0.69 fof(f3376,plain,(
% 0.39/0.69 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.39/0.69 inference(forward_subsumption_resolution,[status(thm)],[f3371,f3372])).
% 0.39/0.69 fof(f3392,plain,(
% 0.39/0.69 $false),
% 0.39/0.69 inference(backward_subsumption_resolution,[status(thm)],[f378,f3376])).
% 0.39/0.69 % SZS output end CNFRefutation for theBenchmark.p
% 0.28/0.70 % Elapsed time: 0.350594 seconds
% 0.28/0.70 % CPU time: 2.470451 seconds
% 0.28/0.70 % Total memory used: 101.578 MB
% 0.28/0.70 % Net memory used: 99.197 MB
%------------------------------------------------------------------------------