%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO577+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 : n026.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 12:26:40 PM UTC 2026
% Result : Theorem 0.10s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO577+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
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 17:43:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.52 % Refutation found
% 0.10/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.52 fof(f1,axiom,(
% 0.10/0.52 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f2,axiom,(
% 0.10/0.52 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f3,axiom,(
% 0.10/0.52 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f4,axiom,(
% 0.10/0.52 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f5,axiom,(
% 0.10/0.52 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f7,axiom,(
% 0.10/0.52 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f8,axiom,(
% 0.10/0.52 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f9,axiom,(
% 0.10/0.52 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f10,axiom,(
% 0.10/0.52 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f17,axiom,(
% 0.10/0.52 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f19,axiom,(
% 0.10/0.52 (! [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) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f21,axiom,(
% 0.10/0.52 (! [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) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f39,axiom,(
% 0.10/0.52 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f40,axiom,(
% 0.10/0.52 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f43,axiom,(
% 0.10/0.52 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f44,axiom,(
% 0.10/0.52 (! [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) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f57,axiom,(
% 0.10/0.52 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f67,axiom,(
% 0.10/0.52 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f95,conjecture,(
% 0.10/0.52 (! [A,B,C,I,O,M,L1,NWPNT1,NWPNT2] :( ( eqangle(I,A,A,B,I,A,A,C)& eqangle(I,B,B,C,I,B,B,A)& eqangle(I,C,C,A,I,C,C,B)& circle(O,A,B,C)& circle(O,C,M,NWPNT1)& coll(M,C,I)& perp(B,I,B,L1)& circle(O,A,L1,NWPNT2) )=> para(M,L1,A,I) ) )),
% 0.10/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f96,negated_conjecture,(
% 0.10/0.52 ~((! [A,B,C,I,O,M,L1,NWPNT1,NWPNT2] :( ( eqangle(I,A,A,B,I,A,A,C)& eqangle(I,B,B,C,I,B,B,A)& eqangle(I,C,C,A,I,C,C,B)& circle(O,A,B,C)& circle(O,C,M,NWPNT1)& coll(M,C,I)& perp(B,I,B,L1)& circle(O,A,L1,NWPNT2) )=> para(M,L1,A,I) ) ))),
% 0.10/0.52 inference(negated_conjecture,[status(cth)],[f95])).
% 0.10/0.52 fof(f97,plain,(
% 0.10/0.52 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.10/0.52 fof(f98,plain,(
% 0.10/0.52 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f97])).
% 0.10/0.52 fof(f99,plain,(
% 0.10/0.52 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.52 fof(f100,plain,(
% 0.10/0.52 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f99])).
% 0.10/0.52 fof(f101,plain,(
% 0.10/0.52 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.10/0.52 fof(f102,plain,(
% 0.10/0.52 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.10/0.52 inference(miniscoping,[status(thm)],[f101])).
% 0.10/0.52 fof(f103,plain,(
% 0.10/0.52 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f102])).
% 0.10/0.52 fof(f104,plain,(
% 0.10/0.52 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.10/0.52 fof(f105,plain,(
% 0.10/0.52 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f104])).
% 0.10/0.52 fof(f106,plain,(
% 0.10/0.52 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.52 fof(f107,plain,(
% 0.10/0.52 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.52 fof(f111,plain,(
% 0.10/0.52 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.10/0.52 fof(f112,plain,(
% 0.10/0.52 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f111])).
% 0.10/0.52 fof(f113,plain,(
% 0.10/0.52 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.10/0.52 fof(f114,plain,(
% 0.10/0.52 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f113])).
% 0.10/0.52 fof(f115,plain,(
% 0.10/0.52 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.10/0.52 fof(f116,plain,(
% 0.10/0.52 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.10/0.52 inference(miniscoping,[status(thm)],[f115])).
% 0.10/0.52 fof(f117,plain,(
% 0.10/0.52 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f116])).
% 0.10/0.52 fof(f118,plain,(
% 0.10/0.52 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.10/0.52 fof(f119,plain,(
% 0.10/0.52 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 0.10/0.52 inference(miniscoping,[status(thm)],[f118])).
% 0.10/0.52 fof(f120,plain,(
% 0.10/0.52 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f119])).
% 0.10/0.52 fof(f134,plain,(
% 0.10/0.52 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.10/0.52 fof(f135,plain,(
% 0.10/0.52 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.10/0.52 inference(miniscoping,[status(thm)],[f134])).
% 0.10/0.52 fof(f136,plain,(
% 0.10/0.52 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f135])).
% 0.10/0.52 fof(f139,plain,(
% 0.10/0.52 ![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))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.10/0.52 fof(f140,plain,(
% 0.10/0.52 ![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))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f139])).
% 0.10/0.52 fof(f143,plain,(
% 0.10/0.52 ![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))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.10/0.52 fof(f144,plain,(
% 0.10/0.52 ![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))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f143])).
% 0.10/0.52 fof(f184,plain,(
% 0.10/0.52 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.10/0.52 fof(f185,plain,(
% 0.10/0.52 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.10/0.52 inference(miniscoping,[status(thm)],[f184])).
% 0.10/0.52 fof(f186,plain,(
% 0.10/0.52 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f185])).
% 0.10/0.52 fof(f187,plain,(
% 0.10/0.52 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.10/0.52 fof(f188,plain,(
% 0.10/0.52 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.10/0.52 inference(miniscoping,[status(thm)],[f187])).
% 0.10/0.52 fof(f189,plain,(
% 0.10/0.52 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f188])).
% 0.10/0.52 fof(f194,plain,(
% 0.10/0.52 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.10/0.52 fof(f195,plain,(
% 0.10/0.52 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f194])).
% 0.10/0.52 fof(f196,plain,(
% 0.10/0.52 ![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))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.10/0.52 fof(f197,plain,(
% 0.10/0.52 ![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))),
% 0.10/0.52 inference(miniscoping,[status(thm)],[f196])).
% 0.10/0.52 fof(f198,plain,(
% 0.10/0.52 ![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))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f197])).
% 0.10/0.52 fof(f231,plain,(
% 0.10/0.52 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.10/0.52 fof(f232,plain,(
% 0.10/0.52 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f231])).
% 0.10/0.52 fof(f255,plain,(
% 0.10/0.52 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.10/0.52 fof(f256,plain,(
% 0.10/0.52 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f255])).
% 0.10/0.52 fof(f369,plain,(
% 0.10/0.52 (?[A,B,C,I,O,M,L1,NWPNT1,NWPNT2]: ((((((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))&circle(O,A,B,C))&circle(O,C,M,NWPNT1))&coll(M,C,I))&perp(B,I,B,L1))&circle(O,A,L1,NWPNT2))&~para(M,L1,A,I)))),
% 0.10/0.52 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.10/0.52 fof(f370,plain,(
% 0.10/0.52 ?[A,I,M,L1]: ((?[O]: ((?[B]: ((?[C]: (((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))&circle(O,A,B,C))&(?[NWPNT1]: circle(O,C,M,NWPNT1)))&coll(M,C,I)))&perp(B,I,B,L1)))&(?[NWPNT2]: circle(O,A,L1,NWPNT2))))&~para(M,L1,A,I))),
% 0.10/0.52 inference(miniscoping,[status(thm)],[f369])).
% 0.10/0.52 fof(f371,plain,(
% 0.10/0.52 ((((((((eqangle(sK21_skl,sK20_skl,sK20_skl,sK25_skl,sK21_skl,sK20_skl,sK20_skl,sK26_skl)&eqangle(sK21_skl,sK25_skl,sK25_skl,sK26_skl,sK21_skl,sK25_skl,sK25_skl,sK20_skl))&eqangle(sK21_skl,sK26_skl,sK26_skl,sK20_skl,sK21_skl,sK26_skl,sK26_skl,sK25_skl))&circle(sK24_skl,sK20_skl,sK25_skl,sK26_skl))&circle(sK24_skl,sK26_skl,sK22_skl,sK27_skl))&coll(sK22_skl,sK26_skl,sK21_skl))&perp(sK25_skl,sK21_skl,sK25_skl,sK23_skl))&circle(sK24_skl,sK20_skl,sK23_skl,sK28_skl))&~para(sK22_skl,sK23_skl,sK20_skl,sK21_skl))),
% 0.10/0.52 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]),skolemize(A,sK20_skl),skolemize(I,sK21_skl),skolemize(M,sK22_skl),skolemize(L1,sK23_skl),skolemize(O,sK24_skl),skolemize(B,sK25_skl),skolemize(C,sK26_skl),skolemize(NWPNT1,sK27_skl),skolemize(NWPNT2,sK28_skl)],[f370])).
% 0.10/0.52 fof(f378,plain,(
% 0.10/0.52 perp(sK25_skl,sK21_skl,sK25_skl,sK23_skl)),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f371])).
% 0.10/0.52 fof(f380,plain,(
% 0.10/0.52 ~para(sK22_skl,sK23_skl,sK20_skl,sK21_skl)),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f371])).
% 0.10/0.52 fof(f399,plain,(
% 0.10/0.52 perp(sK25_skl,sK21_skl,sK23_skl,sK25_skl)),
% 0.10/0.52 inference(resolution,[status(thm)],[f112,f378])).
% 0.10/0.52 fof(f401,plain,(
% 0.10/0.52 perp(sK23_skl,sK25_skl,sK25_skl,sK21_skl)),
% 0.10/0.52 inference(resolution,[status(thm)],[f114,f399])).
% 0.10/0.52 fof(f402,plain,(
% 0.10/0.52 perp(sK25_skl,sK23_skl,sK25_skl,sK21_skl)),
% 0.10/0.52 inference(resolution,[status(thm)],[f114,f378])).
% 0.10/0.52 fof(f404,plain,(
% 0.10/0.52 perp(sK23_skl,sK25_skl,sK21_skl,sK25_skl)),
% 0.10/0.52 inference(resolution,[status(thm)],[f401,f112])).
% 0.10/0.52 fof(f407,plain,(
% 0.10/0.52 perp(sK21_skl,sK25_skl,sK23_skl,sK25_skl)),
% 0.10/0.52 inference(resolution,[status(thm)],[f404,f114])).
% 0.10/0.52 fof(f416,plain,(
% 0.10/0.52 ![X0,X1]: (~perp(X0,X1,sK21_skl,sK25_skl)|para(X0,X1,sK23_skl,sK25_skl))),
% 0.10/0.52 inference(resolution,[status(thm)],[f117,f407])).
% 0.10/0.52 fof(f418,plain,(
% 0.10/0.52 ![X0,X1]: (~perp(X0,X1,sK23_skl,sK25_skl)|para(X0,X1,sK25_skl,sK21_skl))),
% 0.10/0.52 inference(resolution,[status(thm)],[f117,f401])).
% 0.10/0.52 fof(f421,plain,(
% 0.10/0.52 ![X0,X1]: (~perp(X0,X1,sK25_skl,sK21_skl)|para(X0,X1,sK23_skl,sK25_skl))),
% 0.10/0.52 inference(resolution,[status(thm)],[f117,f399])).
% 0.10/0.53 fof(f422,plain,(
% 0.10/0.53 ![X0,X1]: (~perp(X0,X1,sK25_skl,sK21_skl)|para(X0,X1,sK25_skl,sK23_skl))),
% 0.10/0.53 inference(resolution,[status(thm)],[f117,f378])).
% 0.10/0.53 fof(f617,plain,(
% 0.10/0.53 para(sK25_skl,sK23_skl,sK25_skl,sK23_skl)),
% 0.10/0.53 inference(resolution,[status(thm)],[f422,f402])).
% 0.10/0.53 fof(f655,plain,(
% 0.10/0.53 ![X0,X1]: (eqangle(sK25_skl,sK23_skl,X0,X1,sK25_skl,sK23_skl,X0,X1))),
% 0.10/0.53 inference(resolution,[status(thm)],[f189,f617])).
% 0.10/0.53 fof(f698,plain,(
% 0.10/0.53 ![X0,X1]: (eqangle(X0,X1,sK25_skl,sK23_skl,X0,X1,sK25_skl,sK23_skl))),
% 0.10/0.53 inference(resolution,[status(thm)],[f655,f140])).
% 0.10/0.53 fof(f744,plain,(
% 0.10/0.53 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.10/0.53 inference(resolution,[status(thm)],[f698,f186])).
% 0.10/0.53 fof(f750,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 0.10/0.53 inference(resolution,[status(thm)],[f744,f189])).
% 0.10/0.53 fof(f754,plain,(
% 0.10/0.53 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.10/0.53 inference(resolution,[status(thm)],[f744,f105])).
% 0.10/0.53 fof(f755,plain,(
% 0.10/0.53 ![X0,X1]: (coll(X0,X1,X1))),
% 0.10/0.53 inference(resolution,[status(thm)],[f744,f256])).
% 0.10/0.53 fof(f782,plain,(
% 0.10/0.53 ![X0,X1]: (coll(X0,X1,X0))),
% 0.10/0.53 inference(resolution,[status(thm)],[f755,f100])).
% 0.10/0.53 fof(f808,plain,(
% 0.10/0.53 ![X0,X1]: (coll(X0,X0,X1))),
% 0.10/0.53 inference(resolution,[status(thm)],[f782,f98])).
% 0.10/0.53 fof(f817,plain,(
% 0.10/0.53 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.10/0.53 inference(resolution,[status(thm)],[f808,f103])).
% 0.10/0.53 fof(f820,plain,(
% 0.10/0.53 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f817,f808])).
% 0.10/0.53 fof(f822,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 0.10/0.53 inference(resolution,[status(thm)],[f754,f189])).
% 0.10/0.53 fof(f829,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 0.10/0.53 inference(resolution,[status(thm)],[f750,f144])).
% 0.10/0.53 fof(f837,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X3,X2))),
% 0.10/0.53 inference(resolution,[status(thm)],[f822,f140])).
% 0.10/0.53 fof(f1106,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f195,f820])).
% 0.10/0.53 fof(f1112,plain,(
% 0.10/0.53 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1106,f829])).
% 0.10/0.53 fof(f1143,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1112,f136])).
% 0.10/0.53 fof(f1147,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1143,f1112])).
% 0.10/0.53 fof(f1273,plain,(
% 0.10/0.53 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f198,f1147])).
% 0.10/0.53 fof(f1283,plain,(
% 0.10/0.53 ![X0,X1]: (~cyclic(X0,X1,X1,X1)|~cyclic(X0,X1,X1,X1)|cong(X0,X1,X0,X1))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1273,f837])).
% 0.10/0.53 fof(f1299,plain,(
% 0.10/0.53 ![X0,X1]: (~cyclic(X0,X1,X1,X1)|cong(X0,X1,X0,X1))),
% 0.10/0.53 inference(duplicate_literals_removal,[status(thm)],[f1283])).
% 0.10/0.53 fof(f1300,plain,(
% 0.10/0.53 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1299,f1147])).
% 0.10/0.53 fof(f1341,plain,(
% 0.10/0.53 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1300,f232])).
% 0.10/0.53 fof(f1347,plain,(
% 0.10/0.53 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1341,f1300])).
% 0.10/0.53 fof(f1348,plain,(
% 0.10/0.53 ![X0]: (para(X0,X0,sK25_skl,sK21_skl))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1347,f418])).
% 0.10/0.53 fof(f1350,plain,(
% 0.10/0.53 ![X0]: (para(X0,X0,sK23_skl,sK25_skl))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1347,f416])).
% 0.10/0.53 fof(f1386,plain,(
% 0.10/0.53 ![X0]: (para(sK25_skl,sK21_skl,X0,X0))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1348,f107])).
% 0.10/0.53 fof(f1402,plain,(
% 0.10/0.53 ![X0]: (para(sK23_skl,sK25_skl,X0,X0))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1350,f107])).
% 0.10/0.53 fof(f1416,plain,(
% 0.10/0.53 ![X0,X1,X2]: (~perp(X0,X0,X1,X2)|perp(sK25_skl,sK21_skl,X1,X2))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1386,f120])).
% 0.10/0.53 fof(f1420,plain,(
% 0.10/0.53 ![X0,X1]: (perp(sK25_skl,sK21_skl,X0,X1))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1416,f1347])).
% 0.10/0.53 fof(f1448,plain,(
% 0.10/0.53 ![X0,X1,X2]: (~perp(X0,X0,X1,X2)|perp(sK23_skl,sK25_skl,X1,X2))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1402,f120])).
% 0.10/0.53 fof(f1452,plain,(
% 0.10/0.53 ![X0,X1]: (perp(sK23_skl,sK25_skl,X0,X1))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1448,f1347])).
% 0.10/0.53 fof(f1474,plain,(
% 0.10/0.53 ![X0,X1]: (perp(X0,X1,sK25_skl,sK21_skl))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1420,f114])).
% 0.10/0.53 fof(f1518,plain,(
% 0.10/0.53 ![X0,X1]: (para(X0,X1,sK23_skl,sK25_skl))),
% 0.10/0.53 inference(backward_subsumption_resolution,[status(thm)],[f421,f1474])).
% 0.10/0.53 fof(f1631,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (~perp(sK23_skl,sK25_skl,X0,X1)|perp(X2,X3,X0,X1))),
% 0.10/0.53 inference(resolution,[status(thm)],[f1518,f120])).
% 0.10/0.53 fof(f1635,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1631,f1452])).
% 0.10/0.53 fof(f1636,plain,(
% 0.10/0.53 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3))),
% 0.10/0.53 inference(backward_subsumption_resolution,[status(thm)],[f117,f1635])).
% 0.10/0.53 fof(f1638,plain,(
% 0.10/0.53 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.10/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1636,f1635])).
% 0.10/0.53 fof(f1641,plain,(
% 0.10/0.53 $false),
% 0.10/0.53 inference(backward_subsumption_resolution,[status(thm)],[f380,f1638])).
% 0.10/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.44/0.54 % Elapsed time: 0.160746 seconds
% 0.44/0.54 % CPU time: 0.943162 seconds
% 0.44/0.54 % Total memory used: 95.635 MB
% 0.44/0.54 % Net memory used: 94.489 MB
%------------------------------------------------------------------------------