%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO644+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 : n018.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 12:26:46 PM UTC 2026
% Result : Theorem 0.15s 0.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO644+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
% 0.10/0.57 % Computer : n018.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sun Sep 20 18:13:58 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.15/0.78 % Refutation found
% 0.15/0.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.78 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.78 fof(f1,axiom,(
% 0.15/0.78 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f2,axiom,(
% 0.15/0.78 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f3,axiom,(
% 0.15/0.78 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f4,axiom,(
% 0.15/0.78 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f5,axiom,(
% 0.15/0.78 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f6,axiom,(
% 0.15/0.78 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f11,axiom,(
% 0.15/0.78 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f17,axiom,(
% 0.15/0.78 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f18,axiom,(
% 0.15/0.78 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f19,axiom,(
% 0.15/0.78 (! [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) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f21,axiom,(
% 0.15/0.78 (! [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) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f23,axiom,(
% 0.15/0.78 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f40,axiom,(
% 0.15/0.78 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f41,axiom,(
% 0.15/0.78 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f43,axiom,(
% 0.15/0.78 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f44,axiom,(
% 0.15/0.78 (! [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) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f46,axiom,(
% 0.15/0.78 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f53,axiom,(
% 0.15/0.78 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f56,axiom,(
% 0.15/0.78 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f58,axiom,(
% 0.15/0.78 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f67,axiom,(
% 0.15/0.78 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f68,axiom,(
% 0.15/0.78 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f74,axiom,(
% 0.15/0.78 (! [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) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f95,conjecture,(
% 0.15/0.78 (! [A,B,C,D,E,F,G,H] :( ( para(B,C,A,D)& para(A,B,C,D)& midp(E,C,D)& midp(F,B,A)& coll(G,A,C)& coll(G,D,F)& coll(H,B,E)& coll(H,A,C) )=> cong(A,G,G,H) ) )),
% 0.15/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.78 fof(f96,negated_conjecture,(
% 0.15/0.78 ~((! [A,B,C,D,E,F,G,H] :( ( para(B,C,A,D)& para(A,B,C,D)& midp(E,C,D)& midp(F,B,A)& coll(G,A,C)& coll(G,D,F)& coll(H,B,E)& coll(H,A,C) )=> cong(A,G,G,H) ) ))),
% 0.15/0.78 inference(negated_conjecture,[status(cth)],[f95])).
% 0.15/0.78 fof(f97,plain,(
% 0.15/0.78 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.15/0.79 fof(f98,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f97])).
% 0.15/0.79 fof(f99,plain,(
% 0.15/0.79 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.15/0.79 fof(f100,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f99])).
% 0.15/0.79 fof(f101,plain,(
% 0.15/0.79 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.15/0.79 fof(f102,plain,(
% 0.15/0.79 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f101])).
% 0.15/0.79 fof(f103,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f102])).
% 0.15/0.79 fof(f104,plain,(
% 0.15/0.79 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.15/0.79 fof(f105,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f104])).
% 0.15/0.79 fof(f106,plain,(
% 0.15/0.79 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.15/0.79 fof(f107,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f106])).
% 0.15/0.79 fof(f108,plain,(
% 0.15/0.79 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.15/0.79 fof(f109,plain,(
% 0.15/0.79 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f108])).
% 0.15/0.79 fof(f110,plain,(
% 0.15/0.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f109])).
% 0.15/0.79 fof(f121,plain,(
% 0.15/0.79 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.15/0.79 fof(f122,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f121])).
% 0.15/0.79 fof(f134,plain,(
% 0.15/0.79 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.15/0.79 fof(f135,plain,(
% 0.15/0.79 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f134])).
% 0.15/0.79 fof(f136,plain,(
% 0.15/0.79 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f135])).
% 0.15/0.79 fof(f137,plain,(
% 0.15/0.79 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.15/0.79 fof(f138,plain,(
% 0.15/0.79 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f137])).
% 0.15/0.79 fof(f139,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.15/0.79 fof(f140,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f139])).
% 0.15/0.79 fof(f143,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.15/0.79 fof(f144,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f143])).
% 0.15/0.79 fof(f148,plain,(
% 0.15/0.79 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.15/0.79 fof(f149,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f148])).
% 0.15/0.79 fof(f187,plain,(
% 0.15/0.79 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.15/0.79 fof(f188,plain,(
% 0.15/0.79 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f187])).
% 0.15/0.79 fof(f189,plain,(
% 0.15/0.79 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f188])).
% 0.15/0.79 fof(f190,plain,(
% 0.15/0.79 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.15/0.79 fof(f191,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/0.79 fof(f194,plain,(
% 0.15/0.79 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.15/0.79 fof(f195,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/0.79 fof(f196,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.15/0.79 fof(f197,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f196])).
% 0.15/0.79 fof(f198,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f197])).
% 0.15/0.79 fof(f202,plain,(
% 0.15/0.79 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.15/0.79 fof(f203,plain,(
% 0.15/0.79 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f202])).
% 0.15/0.79 fof(f204,plain,(
% 0.15/0.79 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f203])).
% 0.15/0.79 fof(f220,plain,(
% 0.15/0.79 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.15/0.79 fof(f221,plain,(
% 0.15/0.79 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f220])).
% 0.15/0.79 fof(f222,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f221])).
% 0.15/0.79 fof(f228,plain,(
% 0.15/0.79 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 0.15/0.79 fof(f229,plain,(
% 0.15/0.79 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f228])).
% 0.15/0.79 fof(f230,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f229])).
% 0.15/0.79 fof(f233,plain,(
% 0.15/0.79 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.15/0.79 fof(f234,plain,(
% 0.15/0.79 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f233])).
% 0.15/0.79 fof(f235,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f234])).
% 0.15/0.79 fof(f255,plain,(
% 0.15/0.79 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.15/0.79 fof(f256,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f255])).
% 0.15/0.79 fof(f257,plain,(
% 0.15/0.79 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.15/0.79 fof(f258,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f257])).
% 0.15/0.79 fof(f269,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f74])).
% 0.15/0.79 fof(f270,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f269])).
% 0.15/0.79 fof(f271,plain,(
% 0.15/0.79 ![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))),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f270])).
% 0.15/0.79 fof(f369,plain,(
% 0.15/0.79 (?[A,B,C,D,E,F,G,H]: ((((((((para(B,C,A,D)¶(A,B,C,D))&midp(E,C,D))&midp(F,B,A))&coll(G,A,C))&coll(G,D,F))&coll(H,B,E))&coll(H,A,C))&~cong(A,G,G,H)))),
% 0.15/0.79 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.15/0.79 fof(f370,plain,(
% 0.15/0.79 ?[A,G,H]: ((?[C]: ((?[B,E]: ((?[D,F]: (((((para(B,C,A,D)¶(A,B,C,D))&midp(E,C,D))&midp(F,B,A))&coll(G,A,C))&coll(G,D,F)))&coll(H,B,E)))&coll(H,A,C)))&~cong(A,G,G,H))),
% 0.15/0.79 inference(miniscoping,[status(thm)],[f369])).
% 0.15/0.79 fof(f371,plain,(
% 0.15/0.79 ((((((((para(sK24_skl,sK23_skl,sK20_skl,sK26_skl)¶(sK20_skl,sK24_skl,sK23_skl,sK26_skl))&midp(sK25_skl,sK23_skl,sK26_skl))&midp(sK27_skl,sK24_skl,sK20_skl))&coll(sK21_skl,sK20_skl,sK23_skl))&coll(sK21_skl,sK26_skl,sK27_skl))&coll(sK22_skl,sK24_skl,sK25_skl))&coll(sK22_skl,sK20_skl,sK23_skl))&~cong(sK20_skl,sK21_skl,sK21_skl,sK22_skl))),
% 0.15/0.79 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(G,sK21_skl),skolemize(H,sK22_skl),skolemize(C,sK23_skl),skolemize(B,sK24_skl),skolemize(E,sK25_skl),skolemize(D,sK26_skl),skolemize(F,sK27_skl)],[f370])).
% 0.15/0.79 fof(f372,plain,(
% 0.15/0.79 para(sK24_skl,sK23_skl,sK20_skl,sK26_skl)),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/0.79 fof(f373,plain,(
% 0.15/0.79 para(sK20_skl,sK24_skl,sK23_skl,sK26_skl)),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/0.79 fof(f380,plain,(
% 0.15/0.79 ~cong(sK20_skl,sK21_skl,sK21_skl,sK22_skl)),
% 0.15/0.79 inference(cnf_transformation,[status(thm)],[f371])).
% 0.15/0.79 fof(f457,plain,(
% 0.15/0.79 para(sK20_skl,sK26_skl,sK24_skl,sK23_skl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f107,f372])).
% 0.15/0.79 fof(f458,plain,(
% 0.15/0.79 ![X0,X1]: (~para(X0,X1,sK24_skl,sK23_skl)|para(X0,X1,sK20_skl,sK26_skl))),
% 0.15/0.79 inference(resolution,[status(thm)],[f110,f372])).
% 0.15/0.79 fof(f462,plain,(
% 0.15/0.79 para(sK20_skl,sK24_skl,sK26_skl,sK23_skl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f373,f105])).
% 0.15/0.79 fof(f557,plain,(
% 0.15/0.79 ![X0,X1]: (eqangle(sK20_skl,sK24_skl,X0,X1,sK26_skl,sK23_skl,X0,X1))),
% 0.15/0.79 inference(resolution,[status(thm)],[f189,f462])).
% 0.15/0.79 fof(f617,plain,(
% 0.15/0.79 ![X0,X1]: (eqangle(X0,X1,sK20_skl,sK24_skl,X0,X1,sK26_skl,sK23_skl))),
% 0.15/0.79 inference(resolution,[status(thm)],[f140,f557])).
% 0.15/0.79 fof(f808,plain,(
% 0.15/0.79 ![X0,X1]: (eqangle(sK20_skl,sK24_skl,sK26_skl,sK23_skl,X0,X1,X0,X1))),
% 0.15/0.79 inference(resolution,[status(thm)],[f144,f557])).
% 0.15/0.79 fof(f828,plain,(
% 0.15/0.79 ![X0,X1]: (eqangle(X0,X1,X0,X1,sK20_skl,sK24_skl,sK26_skl,sK23_skl))),
% 0.15/0.79 inference(resolution,[status(thm)],[f144,f617])).
% 0.15/0.79 fof(f1022,definition,(
% 0.15/0.79 ![X0,X1]: (sQ18_spl <=> (~para(X0,X1,X0,X1)))),
% 0.15/0.79 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/0.79 fof(f1023,plain,(
% 0.15/0.79 ![X0,X1]: (~para(X0,X1,X0,X1)|~sQ18_spl)),
% 0.15/0.79 inference(component_clause,[status(thm)],[f1022])).
% 0.15/0.79 fof(f1067,plain,(
% 0.15/0.79 ![X0,X1]: (~para(X0,X1,X0,X1)|para(sK20_skl,sK24_skl,sK26_skl,sK23_skl))),
% 0.15/0.79 inference(resolution,[status(thm)],[f808,f271])).
% 0.15/0.79 fof(f1074,definition,(
% 0.15/0.79 sQ22_spl <=> (para(sK20_skl,sK24_skl,sK26_skl,sK23_skl))),
% 0.15/0.79 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.15/0.79 fof(f1077,plain,(
% 0.15/0.79 sQ18_spl|sQ22_spl),
% 0.15/0.79 inference(split_clause,[status(thm)],[f1067,f1022,f1074])).
% 0.15/0.79 fof(f1169,plain,(
% 0.15/0.79 para(sK20_skl,sK26_skl,sK20_skl,sK26_skl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f458,f457])).
% 0.15/0.79 fof(f1170,plain,(
% 0.15/0.79 $false|~sQ18_spl),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1169,f1023])).
% 0.15/0.79 fof(f1171,plain,(
% 0.15/0.79 ~sQ18_spl),
% 0.15/0.79 inference(contradiction_clause,[status(thm)],[f1170])).
% 0.15/0.79 fof(f1190,definition,(
% 0.15/0.79 ![X0,X1]: (sQ30_spl <=> (para(X0,X1,X0,X1)))),
% 0.15/0.79 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.15/0.79 fof(f1191,plain,(
% 0.15/0.79 ![X0,X1]: (para(X0,X1,X0,X1)|~sQ30_spl)),
% 0.15/0.79 inference(component_clause,[status(thm)],[f1190])).
% 0.15/0.79 fof(f1196,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~midp(X0,X1,X0)|~coll(X2,X1,X2)|midp(X2,X1,X2)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1191,f204])).
% 0.15/0.79 fof(f1197,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1191,f189])).
% 0.15/0.79 fof(f1198,plain,(
% 0.15/0.79 ![X0,X1]: (coll(X0,X1,X1)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1191,f256])).
% 0.15/0.79 fof(f1208,plain,(
% 0.15/0.79 ![X0,X1]: (coll(X0,X1,X0)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1198,f100])).
% 0.15/0.79 fof(f1210,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2)|~sQ30_spl)),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f1196,f1208])).
% 0.15/0.79 fof(f1217,plain,(
% 0.15/0.79 ![X0,X1]: (coll(X0,X0,X1)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1208,f98])).
% 0.15/0.79 fof(f1222,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1217,f103])).
% 0.15/0.79 fof(f1227,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~sQ30_spl)),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f258,f1241])).
% 0.15/0.79 fof(f1240,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~sQ30_spl)),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f195,f1241])).
% 0.15/0.79 fof(f1241,plain,(
% 0.15/0.79 ![X0,X1,X2]: (coll(X0,X1,X2)|~sQ30_spl)),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1222,f1217])).
% 0.15/0.79 fof(f1253,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1197,f144])).
% 0.15/0.79 fof(f1463,plain,(
% 0.15/0.79 ![X0,X1]: (~para(sK20_skl,sK24_skl,sK26_skl,sK23_skl)|para(X0,X1,X0,X1))),
% 0.15/0.79 inference(resolution,[status(thm)],[f828,f271])).
% 0.15/0.79 fof(f1470,plain,(
% 0.15/0.79 ~sQ22_spl|sQ30_spl),
% 0.15/0.79 inference(split_clause,[status(thm)],[f1463,f1074,f1190])).
% 0.15/0.79 fof(f1664,plain,(
% 0.15/0.79 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1240,f1253])).
% 0.15/0.79 fof(f1673,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1664,f136])).
% 0.15/0.79 fof(f1677,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~sQ30_spl)),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f191,f1683])).
% 0.15/0.79 fof(f1680,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~sQ30_spl)),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f235,f1683])).
% 0.15/0.79 fof(f1682,plain,(
% 0.15/0.79 ![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)|~sQ30_spl)),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f198,f1683])).
% 0.15/0.79 fof(f1683,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~sQ30_spl)),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1673,f1664])).
% 0.15/0.79 fof(f1684,plain,(
% 0.15/0.79 ![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)|~sQ30_spl)),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1682,f1683])).
% 0.15/0.79 fof(f1764,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X1,X0,X3,X2,X3)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1677,f144])).
% 0.15/0.79 fof(f1767,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1677,f138])).
% 0.15/0.79 fof(f1917,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X2,X3)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1764,f138])).
% 0.15/0.79 fof(f1925,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X3,X1,X3,X2)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1767,f140])).
% 0.15/0.79 fof(f2006,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X0,X3,X2,X3)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1917,f140])).
% 0.15/0.79 fof(f2112,plain,(
% 0.15/0.79 ![X0,X1]: (~cyclic(X0,X0,X0,X1)|cong(X0,X0,X1,X1)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1684,f2006])).
% 0.15/0.79 fof(f2114,plain,(
% 0.15/0.79 ![X0,X1]: (~cyclic(X0,X1,X1,X1)|cong(X0,X1,X0,X1)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f1684,f1925])).
% 0.15/0.79 fof(f2248,plain,(
% 0.15/0.79 ![X0,X1]: (cong(X0,X0,X1,X1)|~sQ30_spl)),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f2112,f1683])).
% 0.15/0.79 fof(f2249,plain,(
% 0.15/0.79 ![X0,X1]: (cong(X0,X1,X0,X1)|~sQ30_spl)),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f2114,f1683])).
% 0.15/0.79 fof(f2285,plain,(
% 0.15/0.79 ![X0]: (midp(X0,X0,X0)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f2248,f1227])).
% 0.15/0.79 fof(f2295,plain,(
% 0.15/0.79 ![X0,X1]: (midp(X0,X1,X0)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f2285,f1210])).
% 0.15/0.79 fof(f2305,plain,(
% 0.15/0.79 ![X0,X1]: (midp(X0,X0,X1)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f2295,f122])).
% 0.15/0.79 fof(f2317,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f2249,f1680])).
% 0.15/0.79 fof(f2328,plain,(
% 0.15/0.79 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~sQ30_spl)),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f222,f2333])).
% 0.15/0.79 fof(f2333,plain,(
% 0.15/0.79 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~sQ30_spl)),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f2317,f2249])).
% 0.15/0.79 fof(f2350,plain,(
% 0.15/0.79 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f2333,f230])).
% 0.15/0.79 fof(f2356,plain,(
% 0.15/0.79 ![X0,X1,X2]: (midp(X0,X1,X2)|~sQ30_spl)),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f1227,f2365])).
% 0.15/0.79 fof(f2365,plain,(
% 0.15/0.79 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~sQ30_spl)),
% 0.15/0.79 inference(forward_subsumption_resolution,[status(thm)],[f2350,f2305])).
% 0.15/0.79 fof(f2399,plain,(
% 0.15/0.79 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~sQ30_spl)),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f2328,f2356])).
% 0.15/0.79 fof(f2431,plain,(
% 0.15/0.79 ![X0,X1,X2]: (cong(X0,X1,X1,X2)|~sQ30_spl)),
% 0.15/0.79 inference(resolution,[status(thm)],[f2399,f149])).
% 0.15/0.79 fof(f2432,plain,(
% 0.15/0.79 $false|~sQ30_spl),
% 0.15/0.79 inference(backward_subsumption_resolution,[status(thm)],[f380,f2431])).
% 0.15/0.79 fof(f2433,plain,(
% 0.15/0.79 ~sQ30_spl),
% 0.15/0.79 inference(contradiction_clause,[status(thm)],[f2432])).
% 0.15/0.79 fof(f2434,plain,(
% 0.15/0.79 $false),
% 0.15/0.79 inference(sat_refutation,[status(thm)],[f1077,f1171,f1470,f2433])).
% 0.15/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.82 % Elapsed time: 0.227220 seconds
% 0.15/0.82 % CPU time: 1.599205 seconds
% 0.15/0.82 % Total memory used: 100.139 MB
% 0.15/0.82 % Net memory used: 98.463 MB
%------------------------------------------------------------------------------