%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO555+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 0.14s 5.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO555+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.59 % Computer : n006.cluster.edu
% 0.11/5.59 % Model : x86_64 x86_64
% 0.11/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59 % Memory : 8046.5625MB
% 0.11/5.59 % OS : Linux 6.8.0-71-generic
% 0.11/5.59 % CPULimit : 300
% 0.11/5.59 % WCLimit : 300
% 0.11/5.59 % DateTime : Sun Sep 20 17:24:35 UTC 2026
% 0.11/5.59 % CPUTime :
% 0.14/5.61 % Drodi V4.1.1
% 0.14/5.72 % Refutation found
% 0.14/5.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.72 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.72 fof(f1,axiom,(
% 0.14/5.72 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f2,axiom,(
% 0.14/5.72 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f3,axiom,(
% 0.14/5.72 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f8,axiom,(
% 0.14/5.72 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f9,axiom,(
% 0.14/5.72 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f11,axiom,(
% 0.14/5.72 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f13,axiom,(
% 0.14/5.72 (! [A,B,C,D,O] :( ( cong(O,A,O,B)& cong(O,A,O,C)& cong(O,A,O,D) )=> cyclic(A,B,C,D) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f17,axiom,(
% 0.14/5.72 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f19,axiom,(
% 0.14/5.72 (! [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) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f21,axiom,(
% 0.14/5.72 (! [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) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f24,axiom,(
% 0.14/5.72 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f25,axiom,(
% 0.14/5.72 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f39,axiom,(
% 0.14/5.72 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f40,axiom,(
% 0.14/5.72 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f42,axiom,(
% 0.14/5.72 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f43,axiom,(
% 0.14/5.72 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f44,axiom,(
% 0.14/5.72 (! [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) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f46,axiom,(
% 0.14/5.72 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f67,axiom,(
% 0.14/5.72 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f68,axiom,(
% 0.14/5.72 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f69,axiom,(
% 0.14/5.72 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f95,conjecture,(
% 0.14/5.72 (! [A,B,C,D,E,F,G,H,K,I] :( ( perp(D,A,B,C)& coll(D,B,C)& perp(E,B,A,C)& coll(E,A,C)& perp(F,C,A,B)& coll(F,A,B)& perp(G,F,B,C)& coll(G,B,C)& perp(H,F,A,C)& coll(H,A,C)& perp(K,E,A,B)& coll(K,A,B)& perp(I,D,A,B)& coll(I,A,B) )=> cyclic(H,K,I,G) ) )),
% 0.14/5.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.72 fof(f96,negated_conjecture,(
% 0.14/5.72 ~((! [A,B,C,D,E,F,G,H,K,I] :( ( perp(D,A,B,C)& coll(D,B,C)& perp(E,B,A,C)& coll(E,A,C)& perp(F,C,A,B)& coll(F,A,B)& perp(G,F,B,C)& coll(G,B,C)& perp(H,F,A,C)& coll(H,A,C)& perp(K,E,A,B)& coll(K,A,B)& perp(I,D,A,B)& coll(I,A,B) )=> cyclic(H,K,I,G) ) ))),
% 0.14/5.72 inference(negated_conjecture,[status(cth)],[f95])).
% 0.14/5.72 fof(f97,plain,(
% 0.14/5.72 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/5.72 fof(f98,plain,(
% 0.14/5.72 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f97])).
% 0.14/5.72 fof(f99,plain,(
% 0.14/5.72 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/5.72 fof(f100,plain,(
% 0.14/5.72 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f99])).
% 0.14/5.72 fof(f101,plain,(
% 0.14/5.72 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.14/5.72 fof(f102,plain,(
% 0.14/5.72 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f101])).
% 0.14/5.72 fof(f103,plain,(
% 0.14/5.72 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f102])).
% 0.14/5.72 fof(f113,plain,(
% 0.14/5.72 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.14/5.72 fof(f114,plain,(
% 0.14/5.72 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f113])).
% 0.14/5.72 fof(f115,plain,(
% 0.14/5.72 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.14/5.72 fof(f116,plain,(
% 0.14/5.72 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f115])).
% 0.14/5.72 fof(f117,plain,(
% 0.14/5.72 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f116])).
% 0.14/5.72 fof(f121,plain,(
% 0.14/5.72 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.14/5.72 fof(f122,plain,(
% 0.14/5.72 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f121])).
% 0.14/5.72 fof(f125,plain,(
% 0.14/5.72 ![A,B,C,D,O]: (((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D))|cyclic(A,B,C,D))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.14/5.72 fof(f126,plain,(
% 0.14/5.72 ![A,B,C,D]: ((![O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D)))|cyclic(A,B,C,D))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f125])).
% 0.14/5.72 fof(f127,plain,(
% 0.14/5.72 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|~cong(X0,X1,X0,X4)|cyclic(X1,X2,X3,X4))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f126])).
% 0.14/5.72 fof(f134,plain,(
% 0.14/5.72 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.14/5.72 fof(f135,plain,(
% 0.14/5.72 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f134])).
% 0.14/5.72 fof(f136,plain,(
% 0.14/5.72 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f135])).
% 0.14/5.72 fof(f139,plain,(
% 0.14/5.72 ![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))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.14/5.72 fof(f140,plain,(
% 0.14/5.72 ![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))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f139])).
% 0.14/5.72 fof(f143,plain,(
% 0.14/5.72 ![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))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.14/5.72 fof(f144,plain,(
% 0.14/5.72 ![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))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f143])).
% 0.14/5.72 fof(f150,plain,(
% 0.14/5.72 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.14/5.72 fof(f151,plain,(
% 0.14/5.72 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f150])).
% 0.14/5.72 fof(f152,plain,(
% 0.14/5.72 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.14/5.72 fof(f153,plain,(
% 0.14/5.72 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f152])).
% 0.14/5.72 fof(f154,plain,(
% 0.14/5.72 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f153])).
% 0.14/5.72 fof(f184,plain,(
% 0.14/5.72 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.14/5.72 fof(f185,plain,(
% 0.14/5.72 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f184])).
% 0.14/5.72 fof(f186,plain,(
% 0.14/5.72 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f185])).
% 0.14/5.72 fof(f187,plain,(
% 0.14/5.72 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.14/5.72 fof(f188,plain,(
% 0.14/5.72 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f187])).
% 0.14/5.72 fof(f189,plain,(
% 0.14/5.72 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f188])).
% 0.14/5.72 fof(f192,plain,(
% 0.14/5.72 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.14/5.72 fof(f193,plain,(
% 0.14/5.72 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/5.72 fof(f194,plain,(
% 0.14/5.72 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.14/5.72 fof(f195,plain,(
% 0.14/5.72 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f194])).
% 0.14/5.72 fof(f196,plain,(
% 0.14/5.72 ![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))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.14/5.72 fof(f197,plain,(
% 0.14/5.72 ![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))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f196])).
% 0.14/5.72 fof(f198,plain,(
% 0.14/5.72 ![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))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f197])).
% 0.14/5.72 fof(f202,plain,(
% 0.14/5.72 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.14/5.72 fof(f203,plain,(
% 0.14/5.72 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f202])).
% 0.14/5.72 fof(f204,plain,(
% 0.14/5.72 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f203])).
% 0.14/5.72 fof(f255,plain,(
% 0.14/5.72 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.14/5.72 fof(f256,plain,(
% 0.14/5.72 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f255])).
% 0.14/5.72 fof(f257,plain,(
% 0.14/5.72 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.14/5.72 fof(f258,plain,(
% 0.14/5.72 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f257])).
% 0.14/5.72 fof(f259,plain,(
% 0.14/5.72 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.14/5.72 fof(f260,plain,(
% 0.14/5.72 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f259])).
% 0.14/5.72 fof(f369,plain,(
% 0.14/5.72 (?[A,B,C,D,E,F,G,H,K,I]: ((((((((((((((perp(D,A,B,C)&coll(D,B,C))&perp(E,B,A,C))&coll(E,A,C))&perp(F,C,A,B))&coll(F,A,B))&perp(G,F,B,C))&coll(G,B,C))&perp(H,F,A,C))&coll(H,A,C))&perp(K,E,A,B))&coll(K,A,B))&perp(I,D,A,B))&coll(I,A,B))&~cyclic(H,K,I,G)))),
% 0.14/5.72 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.14/5.72 fof(f370,plain,(
% 0.14/5.72 ?[G,H,K,I]: ((?[A,B]: ((?[D]: (((?[E]: ((?[C]: ((?[F]: ((((((((perp(D,A,B,C)&coll(D,B,C))&perp(E,B,A,C))&coll(E,A,C))&perp(F,C,A,B))&coll(F,A,B))&perp(G,F,B,C))&coll(G,B,C))&perp(H,F,A,C)))&coll(H,A,C)))&perp(K,E,A,B)))&coll(K,A,B))&perp(I,D,A,B)))&coll(I,A,B)))&~cyclic(H,K,I,G))),
% 0.14/5.72 inference(miniscoping,[status(thm)],[f369])).
% 0.14/5.72 fof(f371,plain,(
% 0.14/5.72 ((((((((((((((perp(sK26_skl,sK24_skl,sK25_skl,sK28_skl)&coll(sK26_skl,sK25_skl,sK28_skl))&perp(sK27_skl,sK25_skl,sK24_skl,sK28_skl))&coll(sK27_skl,sK24_skl,sK28_skl))&perp(sK29_skl,sK28_skl,sK24_skl,sK25_skl))&coll(sK29_skl,sK24_skl,sK25_skl))&perp(sK20_skl,sK29_skl,sK25_skl,sK28_skl))&coll(sK20_skl,sK25_skl,sK28_skl))&perp(sK21_skl,sK29_skl,sK24_skl,sK28_skl))&coll(sK21_skl,sK24_skl,sK28_skl))&perp(sK22_skl,sK27_skl,sK24_skl,sK25_skl))&coll(sK22_skl,sK24_skl,sK25_skl))&perp(sK23_skl,sK26_skl,sK24_skl,sK25_skl))&coll(sK23_skl,sK24_skl,sK25_skl))&~cyclic(sK21_skl,sK22_skl,sK23_skl,sK20_skl))),
% 0.14/5.72 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]),skolemize(G,sK20_skl),skolemize(H,sK21_skl),skolemize(K,sK22_skl),skolemize(I,sK23_skl),skolemize(A,sK24_skl),skolemize(B,sK25_skl),skolemize(D,sK26_skl),skolemize(E,sK27_skl),skolemize(C,sK28_skl),skolemize(F,sK29_skl)],[f370])).
% 0.14/5.72 fof(f374,plain,(
% 0.14/5.72 perp(sK27_skl,sK25_skl,sK24_skl,sK28_skl)),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f371])).
% 0.14/5.72 fof(f386,plain,(
% 0.14/5.72 ~cyclic(sK21_skl,sK22_skl,sK23_skl,sK20_skl)),
% 0.14/5.72 inference(cnf_transformation,[status(thm)],[f371])).
% 0.14/5.72 fof(f515,plain,(
% 0.14/5.72 perp(sK24_skl,sK28_skl,sK27_skl,sK25_skl)),
% 0.14/5.72 inference(resolution,[status(thm)],[f114,f374])).
% 0.14/5.72 fof(f518,plain,(
% 0.14/5.72 ![X0,X1]: (~perp(X0,X1,sK27_skl,sK25_skl)|para(X0,X1,sK24_skl,sK28_skl))),
% 0.14/5.72 inference(resolution,[status(thm)],[f117,f374])).
% 0.14/5.72 fof(f623,plain,(
% 0.14/5.72 para(sK24_skl,sK28_skl,sK24_skl,sK28_skl)),
% 0.14/5.72 inference(resolution,[status(thm)],[f515,f518])).
% 0.14/5.72 fof(f671,plain,(
% 0.14/5.72 ![X0,X1]: (eqangle(sK24_skl,sK28_skl,X0,X1,sK24_skl,sK28_skl,X0,X1))),
% 0.14/5.72 inference(resolution,[status(thm)],[f623,f189])).
% 0.14/5.72 fof(f735,plain,(
% 0.14/5.72 ![X0,X1]: (eqangle(sK24_skl,sK28_skl,sK24_skl,sK28_skl,X0,X1,X0,X1))),
% 0.14/5.72 inference(resolution,[status(thm)],[f671,f144])).
% 0.14/5.72 fof(f737,plain,(
% 0.14/5.72 ![X0,X1]: (eqangle(X0,X1,sK24_skl,sK28_skl,X0,X1,sK24_skl,sK28_skl))),
% 0.14/5.72 inference(resolution,[status(thm)],[f671,f140])).
% 0.14/5.72 fof(f798,plain,(
% 0.14/5.72 ![X0,X1]: (~cyclic(sK28_skl,sK28_skl,sK24_skl,X0)|~cyclic(sK28_skl,sK28_skl,sK24_skl,X0)|~cyclic(sK28_skl,sK28_skl,sK24_skl,X1)|cong(sK28_skl,sK28_skl,X0,X0))),
% 0.14/5.72 inference(resolution,[status(thm)],[f735,f198])).
% 0.14/5.72 fof(f799,plain,(
% 0.14/5.72 ![X0]: (~coll(sK24_skl,X0,sK28_skl)|cyclic(sK28_skl,sK28_skl,sK24_skl,X0))),
% 0.14/5.72 inference(resolution,[status(thm)],[f735,f195])).
% 0.14/5.72 fof(f800,plain,(
% 0.14/5.72 ![X0]: (coll(sK24_skl,X0,sK28_skl)|cyclic(sK28_skl,sK28_skl,sK24_skl,X0))),
% 0.14/5.72 inference(resolution,[status(thm)],[f735,f193])).
% 0.14/5.72 fof(f802,definition,(
% 0.14/5.72 ![X0]: (sQ32_spl <=> (~cyclic(sK28_skl,sK28_skl,sK24_skl,X0)|~cyclic(sK28_skl,sK28_skl,sK24_skl,X0)|cong(sK28_skl,sK28_skl,X0,X0)))),
% 0.14/5.72 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/5.72 fof(f803,plain,(
% 0.14/5.72 ![X0]: (~cyclic(sK28_skl,sK28_skl,sK24_skl,X0)|~cyclic(sK28_skl,sK28_skl,sK24_skl,X0)|cong(sK28_skl,sK28_skl,X0,X0)|~sQ32_spl)),
% 0.14/5.72 inference(component_clause,[status(thm)],[f802])).
% 0.14/5.72 fof(f805,definition,(
% 0.14/5.72 ![X1]: (sQ33_spl <=> (~cyclic(sK28_skl,sK28_skl,sK24_skl,X1)))),
% 0.14/5.72 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/5.72 fof(f806,plain,(
% 0.14/5.72 ![X0]: (~cyclic(sK28_skl,sK28_skl,sK24_skl,X0)|~sQ33_spl)),
% 0.14/5.72 inference(component_clause,[status(thm)],[f805])).
% 0.14/5.72 fof(f808,plain,(
% 0.14/5.72 sQ32_spl|sQ33_spl),
% 0.14/5.72 inference(split_clause,[status(thm)],[f798,f802,f805])).
% 0.14/5.72 fof(f809,plain,(
% 0.14/5.72 ![X0]: (cyclic(sK28_skl,sK28_skl,sK24_skl,X0))),
% 0.14/5.72 inference(forward_subsumption_resolution,[status(thm)],[f800,f799])).
% 0.14/5.72 fof(f810,plain,(
% 0.14/5.72 ![X0]: (~cyclic(sK28_skl,sK28_skl,sK24_skl,X0)|cong(sK28_skl,sK28_skl,X0,X0)|~sQ32_spl)),
% 0.14/5.72 inference(duplicate_literals_removal,[status(thm)],[f803])).
% 0.14/5.72 fof(f811,plain,(
% 0.14/5.72 ![X0]: (cong(sK28_skl,sK28_skl,X0,X0)|~sQ32_spl)),
% 0.14/5.72 inference(forward_subsumption_resolution,[status(thm)],[f810,f809])).
% 0.14/5.72 fof(f813,plain,(
% 0.14/5.72 ![X0,X1,X2]: (~cong(X0,X1,sK28_skl,sK28_skl)|cong(X0,X1,X2,X2)|~sQ32_spl)),
% 0.14/5.72 inference(resolution,[status(thm)],[f811,f154])).
% 0.14/5.72 fof(f819,plain,(
% 0.14/5.72 ![X0]: (cong(X0,X0,sK28_skl,sK28_skl)|~sQ32_spl)),
% 0.14/5.72 inference(resolution,[status(thm)],[f811,f151])).
% 0.14/5.72 fof(f832,plain,(
% 0.14/5.72 $false|~sQ33_spl),
% 0.14/5.72 inference(forward_subsumption_resolution,[status(thm)],[f806,f809])).
% 0.14/5.72 fof(f833,plain,(
% 0.14/5.72 ~sQ33_spl),
% 0.14/5.72 inference(contradiction_clause,[status(thm)],[f832])).
% 0.14/5.72 fof(f870,plain,(
% 0.14/5.72 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.14/5.72 inference(resolution,[status(thm)],[f737,f186])).
% 0.14/5.73 fof(f877,plain,(
% 0.14/5.73 ![X0,X1,X2]: (~midp(X0,X1,X0)|~coll(X2,X1,X2)|midp(X2,X1,X2))),
% 0.14/5.73 inference(resolution,[status(thm)],[f870,f204])).
% 0.14/5.73 fof(f880,plain,(
% 0.14/5.73 ![X0,X1]: (coll(X0,X1,X1))),
% 0.14/5.73 inference(resolution,[status(thm)],[f870,f256])).
% 0.14/5.73 fof(f894,plain,(
% 0.14/5.73 ![X0,X1]: (coll(X0,X1,X0))),
% 0.14/5.73 inference(resolution,[status(thm)],[f880,f100])).
% 0.14/5.73 fof(f896,plain,(
% 0.14/5.73 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2))),
% 0.14/5.73 inference(backward_subsumption_resolution,[status(thm)],[f877,f894])).
% 0.14/5.73 fof(f904,plain,(
% 0.14/5.73 ![X0,X1]: (coll(X0,X0,X1))),
% 0.14/5.73 inference(resolution,[status(thm)],[f894,f98])).
% 0.14/5.73 fof(f912,plain,(
% 0.14/5.73 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.14/5.73 inference(resolution,[status(thm)],[f904,f103])).
% 0.14/5.73 fof(f918,plain,(
% 0.14/5.73 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 0.14/5.73 inference(backward_subsumption_resolution,[status(thm)],[f258,f925])).
% 0.14/5.73 fof(f925,plain,(
% 0.14/5.73 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.14/5.73 inference(forward_subsumption_resolution,[status(thm)],[f912,f904])).
% 0.14/5.73 fof(f999,plain,(
% 0.14/5.73 ![X0,X1]: (cong(X0,X0,X1,X1)|~sQ32_spl)),
% 0.14/5.73 inference(resolution,[status(thm)],[f813,f819])).
% 0.14/5.73 fof(f1001,plain,(
% 0.14/5.73 ![X0]: (midp(X0,X0,X0)|~sQ32_spl)),
% 0.14/5.73 inference(resolution,[status(thm)],[f999,f918])).
% 0.14/5.73 fof(f1013,plain,(
% 0.14/5.73 ![X0,X1,X2]: (~cong(X0,X0,X0,X1)|~cong(X0,X0,X0,X2)|cyclic(X0,X1,X0,X2)|~sQ32_spl)),
% 0.14/5.73 inference(resolution,[status(thm)],[f999,f127])).
% 0.14/5.73 fof(f1014,plain,(
% 0.14/5.73 ![X0,X1]: (midp(X0,X1,X0)|~sQ32_spl)),
% 0.14/5.73 inference(resolution,[status(thm)],[f1001,f896])).
% 0.14/5.73 fof(f1024,plain,(
% 0.14/5.73 ![X0,X1]: (midp(X0,X0,X1)|~sQ32_spl)),
% 0.14/5.73 inference(resolution,[status(thm)],[f1014,f122])).
% 0.14/5.73 fof(f1030,plain,(
% 0.14/5.73 ![X0,X1]: (cong(X0,X0,X0,X1)|~sQ32_spl)),
% 0.14/5.73 inference(resolution,[status(thm)],[f1024,f260])).
% 0.14/5.73 fof(f1032,plain,(
% 0.14/5.73 ![X0,X1,X2]: (~cong(X0,X0,X0,X1)|cyclic(X0,X1,X0,X2)|~sQ32_spl)),
% 0.14/5.73 inference(backward_subsumption_resolution,[status(thm)],[f1013,f1030])).
% 0.14/5.73 fof(f1039,plain,(
% 0.14/5.73 ![X0,X1,X2]: (cyclic(X0,X1,X0,X2)|~sQ32_spl)),
% 0.14/5.73 inference(forward_subsumption_resolution,[status(thm)],[f1032,f1030])).
% 0.14/5.73 fof(f1087,plain,(
% 0.14/5.73 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X0,X2)|cyclic(X1,X0,X2,X3)|~sQ32_spl)),
% 0.14/5.73 inference(resolution,[status(thm)],[f1039,f136])).
% 0.14/5.73 fof(f1095,plain,(
% 0.14/5.73 $false|~sQ32_spl),
% 0.14/5.73 inference(backward_subsumption_resolution,[status(thm)],[f386,f1099])).
% 0.14/5.73 fof(f1099,plain,(
% 0.14/5.73 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ32_spl)),
% 0.14/5.73 inference(forward_subsumption_resolution,[status(thm)],[f1087,f1039])).
% 0.14/5.73 fof(f1101,plain,(
% 0.14/5.73 ~sQ32_spl),
% 0.14/5.73 inference(contradiction_clause,[status(thm)],[f1095])).
% 0.14/5.73 fof(f1102,plain,(
% 0.14/5.73 $false),
% 0.14/5.73 inference(sat_refutation,[status(thm)],[f808,f833,f1101])).
% 0.14/5.73 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.75 % Elapsed time: 0.145708 seconds
% 0.14/5.75 % CPU time: 0.901430 seconds
% 0.14/5.75 % Total memory used: 93.596 MB
% 0.14/5.75 % Net memory used: 92.803 MB
%------------------------------------------------------------------------------