%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO545+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 : n012.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 0.07s 5.98s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO545+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/5.31 % Computer : n012.cluster.edu
% 0.03/5.31 % Model : x86_64 x86_64
% 0.03/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.31 % Memory : 8046.5625MB
% 0.03/5.31 % OS : Linux 6.8.0-71-generic
% 0.03/5.31 % CPULimit : 300
% 0.03/5.31 % WCLimit : 300
% 0.03/5.31 % DateTime : Sun Sep 20 17:20:57 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.32 % Drodi V4.1.1
% 0.07/5.98 % Refutation found
% 0.07/5.98 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/5.98 % SZS output start CNFRefutation for theBenchmark
% 0.07/5.98 fof(f4,axiom,(
% 0.07/5.98 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f5,axiom,(
% 0.07/5.98 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f8,axiom,(
% 0.07/5.98 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f9,axiom,(
% 0.07/5.98 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f10,axiom,(
% 0.07/5.98 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f17,axiom,(
% 0.07/5.98 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f19,axiom,(
% 0.07/5.98 (! [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) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f21,axiom,(
% 0.07/5.98 (! [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) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f39,axiom,(
% 0.07/5.98 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f40,axiom,(
% 0.07/5.98 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f42,axiom,(
% 0.07/5.98 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f43,axiom,(
% 0.07/5.98 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f44,axiom,(
% 0.07/5.98 (! [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) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f57,axiom,(
% 0.07/5.98 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f95,conjecture,(
% 0.07/5.98 (! [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& midp(MIDPNT4,A,B)& perp(A,B,MIDPNT4,C1)& midp(MIDPNT5,A,H)& perp(A,H,MIDPNT5,C1)& midp(MIDPNT6,B,H)& perp(B,H,MIDPNT6,C1)& midp(MIDPNT7,A,H)& perp(A,H,MIDPNT7,B1)& midp(MIDPNT8,A,C)& perp(A,C,MIDPNT8,B1)& midp(MIDPNT9,H,C)& perp(H,C,MIDPNT9,B1)& midp(MIDPNT01,B,H)& perp(B,H,MIDPNT01,A1)& midp(MIDPNT11,B,C)& perp(B,C,MIDPNT11,A1)& midp(MIDPNT21,H,C)& perp(H,C,MIDPNT21,A1) )=> perp(A1,O,B1,C1) ) )),
% 0.07/5.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/5.98 fof(f96,negated_conjecture,(
% 0.07/5.98 ~((! [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& midp(MIDPNT4,A,B)& perp(A,B,MIDPNT4,C1)& midp(MIDPNT5,A,H)& perp(A,H,MIDPNT5,C1)& midp(MIDPNT6,B,H)& perp(B,H,MIDPNT6,C1)& midp(MIDPNT7,A,H)& perp(A,H,MIDPNT7,B1)& midp(MIDPNT8,A,C)& perp(A,C,MIDPNT8,B1)& midp(MIDPNT9,H,C)& perp(H,C,MIDPNT9,B1)& midp(MIDPNT01,B,H)& perp(B,H,MIDPNT01,A1)& midp(MIDPNT11,B,C)& perp(B,C,MIDPNT11,A1)& midp(MIDPNT21,H,C)& perp(H,C,MIDPNT21,A1) )=> perp(A1,O,B1,C1) ) ))),
% 0.07/5.98 inference(negated_conjecture,[status(cth)],[f95])).
% 0.07/5.98 fof(f104,plain,(
% 0.07/5.98 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.07/5.98 fof(f105,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f104])).
% 0.07/5.98 fof(f106,plain,(
% 0.07/5.98 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.07/5.98 fof(f107,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f106])).
% 0.07/5.98 fof(f113,plain,(
% 0.07/5.98 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.07/5.98 fof(f114,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f113])).
% 0.07/5.98 fof(f115,plain,(
% 0.07/5.98 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.07/5.98 fof(f116,plain,(
% 0.07/5.98 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.07/5.98 inference(miniscoping,[status(thm)],[f115])).
% 0.07/5.98 fof(f117,plain,(
% 0.07/5.98 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f116])).
% 0.07/5.98 fof(f118,plain,(
% 0.07/5.98 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.07/5.98 fof(f119,plain,(
% 0.07/5.98 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 0.07/5.98 inference(miniscoping,[status(thm)],[f118])).
% 0.07/5.98 fof(f120,plain,(
% 0.07/5.98 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f119])).
% 0.07/5.98 fof(f134,plain,(
% 0.07/5.98 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.07/5.98 fof(f135,plain,(
% 0.07/5.98 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.07/5.98 inference(miniscoping,[status(thm)],[f134])).
% 0.07/5.98 fof(f136,plain,(
% 0.07/5.98 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f135])).
% 0.07/5.98 fof(f139,plain,(
% 0.07/5.98 ![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))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.07/5.98 fof(f140,plain,(
% 0.07/5.98 ![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))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f139])).
% 0.07/5.98 fof(f143,plain,(
% 0.07/5.98 ![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))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.07/5.98 fof(f144,plain,(
% 0.07/5.98 ![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))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f143])).
% 0.07/5.98 fof(f184,plain,(
% 0.07/5.98 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.07/5.98 fof(f185,plain,(
% 0.07/5.98 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.07/5.98 inference(miniscoping,[status(thm)],[f184])).
% 0.07/5.98 fof(f186,plain,(
% 0.07/5.98 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f185])).
% 0.07/5.98 fof(f187,plain,(
% 0.07/5.98 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.07/5.98 fof(f188,plain,(
% 0.07/5.98 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.07/5.98 inference(miniscoping,[status(thm)],[f187])).
% 0.07/5.98 fof(f189,plain,(
% 0.07/5.98 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f188])).
% 0.07/5.98 fof(f192,plain,(
% 0.07/5.98 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.07/5.98 fof(f193,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f192])).
% 0.07/5.98 fof(f194,plain,(
% 0.07/5.98 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.07/5.98 fof(f195,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f194])).
% 0.07/5.98 fof(f196,plain,(
% 0.07/5.98 ![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))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.07/5.98 fof(f197,plain,(
% 0.07/5.98 ![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))),
% 0.07/5.98 inference(miniscoping,[status(thm)],[f196])).
% 0.07/5.98 fof(f198,plain,(
% 0.07/5.98 ![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))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f197])).
% 0.07/5.98 fof(f231,plain,(
% 0.07/5.98 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.07/5.98 fof(f232,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f231])).
% 0.07/5.98 fof(f369,plain,(
% 0.07/5.98 (?[A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21]: (((((((((((((((((((((((((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,O))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O))&midp(MIDPNT4,A,B))&perp(A,B,MIDPNT4,C1))&midp(MIDPNT5,A,H))&perp(A,H,MIDPNT5,C1))&midp(MIDPNT6,B,H))&perp(B,H,MIDPNT6,C1))&midp(MIDPNT7,A,H))&perp(A,H,MIDPNT7,B1))&midp(MIDPNT8,A,C))&perp(A,C,MIDPNT8,B1))&midp(MIDPNT9,H,C))&perp(H,C,MIDPNT9,B1))&midp(MIDPNT01,B,H))&perp(B,H,MIDPNT01,A1))&midp(MIDPNT11,B,C))&perp(B,C,MIDPNT11,A1))&midp(MIDPNT21,H,C))&perp(H,C,MIDPNT21,A1))&~perp(A1,O,B1,C1)))),
% 0.07/5.98 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.07/5.98 fof(f370,plain,(
% 0.07/5.98 ?[O,C1,B1,A1]: ((?[C,H,MIDPNT21]: (((?[B,MIDPNT11]: (((?[MIDPNT01]: (((?[MIDPNT9]: (((?[A,MIDPNT8]: (((?[MIDPNT7]: (((?[MIDPNT6]: (((?[MIDPNT5]: (((?[MIDPNT4]: (((?[MIDPNT3]: (((?[MIDPNT2]: (((?[MIDPNT1]: ((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,O)))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O)))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O)))&midp(MIDPNT4,A,B))&perp(A,B,MIDPNT4,C1)))&midp(MIDPNT5,A,H))&perp(A,H,MIDPNT5,C1)))&midp(MIDPNT6,B,H))&perp(B,H,MIDPNT6,C1)))&midp(MIDPNT7,A,H))&perp(A,H,MIDPNT7,B1)))&midp(MIDPNT8,A,C))&perp(A,C,MIDPNT8,B1)))&midp(MIDPNT9,H,C))&perp(H,C,MIDPNT9,B1)))&midp(MIDPNT01,B,H))&perp(B,H,MIDPNT01,A1)))&midp(MIDPNT11,B,C))&perp(B,C,MIDPNT11,A1)))&midp(MIDPNT21,H,C))&perp(H,C,MIDPNT21,A1)))&~perp(A1,O,B1,C1))),
% 0.07/5.98 inference(miniscoping,[status(thm)],[f369])).
% 0.07/5.98 fof(f371,plain,(
% 0.07/5.98 (((((((((((((((((((((((((((perp(sK31_skl,sK27_skl,sK24_skl,sK25_skl)&perp(sK31_skl,sK24_skl,sK27_skl,sK25_skl))&perp(sK27_skl,sK24_skl,sK31_skl,sK25_skl))&midp(sK39_skl,sK31_skl,sK27_skl))&perp(sK31_skl,sK27_skl,sK39_skl,sK20_skl))&midp(sK38_skl,sK31_skl,sK24_skl))&perp(sK31_skl,sK24_skl,sK38_skl,sK20_skl))&midp(sK37_skl,sK27_skl,sK24_skl))&perp(sK27_skl,sK24_skl,sK37_skl,sK20_skl))&midp(sK36_skl,sK31_skl,sK27_skl))&perp(sK31_skl,sK27_skl,sK36_skl,sK21_skl))&midp(sK35_skl,sK31_skl,sK25_skl))&perp(sK31_skl,sK25_skl,sK35_skl,sK21_skl))&midp(sK34_skl,sK27_skl,sK25_skl))&perp(sK27_skl,sK25_skl,sK34_skl,sK21_skl))&midp(sK33_skl,sK31_skl,sK25_skl))&perp(sK31_skl,sK25_skl,sK33_skl,sK22_skl))&midp(sK32_skl,sK31_skl,sK24_skl))&perp(sK31_skl,sK24_skl,sK32_skl,sK22_skl))&midp(sK30_skl,sK25_skl,sK24_skl))&perp(sK25_skl,sK24_skl,sK30_skl,sK22_skl))&midp(sK29_skl,sK27_skl,sK25_skl))&perp(sK27_skl,sK25_skl,sK29_skl,sK23_skl))&midp(sK28_skl,sK27_skl,sK24_skl))&perp(sK27_skl,sK24_skl,sK28_skl,sK23_skl))&midp(sK26_skl,sK25_skl,sK24_skl))&perp(sK25_skl,sK24_skl,sK26_skl,sK23_skl))&~perp(sK23_skl,sK20_skl,sK22_skl,sK21_skl))),
% 0.07/5.98 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,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl]),skolemize(O,sK20_skl),skolemize(C1,sK21_skl),skolemize(B1,sK22_skl),skolemize(A1,sK23_skl),skolemize(C,sK24_skl),skolemize(H,sK25_skl),skolemize(MIDPNT21,sK26_skl),skolemize(B,sK27_skl),skolemize(MIDPNT11,sK28_skl),skolemize(MIDPNT01,sK29_skl),skolemize(MIDPNT9,sK30_skl),skolemize(A,sK31_skl),skolemize(MIDPNT8,sK32_skl),skolemize(MIDPNT7,sK33_skl),skolemize(MIDPNT6,sK34_skl),skolemize(MIDPNT5,sK35_skl),skolemize(MIDPNT4,sK36_skl),skolemize(MIDPNT3,sK37_skl),skolemize(MIDPNT2,sK38_skl),skolemize(MIDPNT1,sK39_skl)],[f370])).
% 0.07/5.98 fof(f373,plain,(
% 0.07/5.98 perp(sK31_skl,sK24_skl,sK27_skl,sK25_skl)),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f371])).
% 0.07/5.98 fof(f399,plain,(
% 0.07/5.98 ~perp(sK23_skl,sK20_skl,sK22_skl,sK21_skl)),
% 0.07/5.98 inference(cnf_transformation,[status(thm)],[f371])).
% 0.07/5.98 fof(f471,plain,(
% 0.07/5.98 perp(sK27_skl,sK25_skl,sK31_skl,sK24_skl)),
% 0.07/5.98 inference(resolution,[status(thm)],[f373,f114])).
% 0.07/5.98 fof(f564,plain,(
% 0.07/5.98 ![X0,X1]: (~perp(X0,X1,sK31_skl,sK24_skl)|para(X0,X1,sK27_skl,sK25_skl))),
% 0.07/5.98 inference(resolution,[status(thm)],[f117,f373])).
% 0.07/5.98 fof(f1663,plain,(
% 0.07/5.98 para(sK27_skl,sK25_skl,sK27_skl,sK25_skl)),
% 0.07/5.98 inference(resolution,[status(thm)],[f471,f564])).
% 0.07/5.98 fof(f1690,plain,(
% 0.07/5.98 para(sK27_skl,sK25_skl,sK25_skl,sK27_skl)),
% 0.07/5.98 inference(resolution,[status(thm)],[f1663,f105])).
% 0.07/5.98 fof(f1698,plain,(
% 0.07/5.98 para(sK25_skl,sK27_skl,sK27_skl,sK25_skl)),
% 0.07/5.98 inference(resolution,[status(thm)],[f1690,f107])).
% 0.07/5.98 fof(f1720,plain,(
% 0.07/5.98 para(sK25_skl,sK27_skl,sK25_skl,sK27_skl)),
% 0.07/5.98 inference(resolution,[status(thm)],[f1698,f105])).
% 0.07/5.98 fof(f1736,plain,(
% 0.07/5.98 ![X0,X1]: (eqangle(sK25_skl,sK27_skl,X0,X1,sK25_skl,sK27_skl,X0,X1))),
% 0.07/5.98 inference(resolution,[status(thm)],[f189,f1720])).
% 0.07/5.98 fof(f1799,plain,(
% 0.07/5.98 ![X0,X1]: (eqangle(X0,X1,sK25_skl,sK27_skl,X0,X1,sK25_skl,sK27_skl))),
% 0.07/5.98 inference(resolution,[status(thm)],[f1736,f140])).
% 0.07/5.98 fof(f2197,plain,(
% 0.07/5.98 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.07/5.98 inference(resolution,[status(thm)],[f186,f1799])).
% 0.07/5.98 fof(f2205,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 0.07/5.98 inference(resolution,[status(thm)],[f2197,f189])).
% 0.07/5.98 fof(f2208,plain,(
% 0.07/5.98 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.07/5.98 inference(resolution,[status(thm)],[f2197,f105])).
% 0.07/5.98 fof(f2212,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 0.07/5.98 inference(resolution,[status(thm)],[f2208,f189])).
% 0.07/5.98 fof(f2218,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 0.07/5.98 inference(resolution,[status(thm)],[f2205,f144])).
% 0.07/5.98 fof(f2384,plain,(
% 0.07/5.98 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 0.07/5.98 inference(resolution,[status(thm)],[f193,f2218])).
% 0.07/5.98 fof(f2392,plain,(
% 0.07/5.98 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 0.07/5.98 inference(resolution,[status(thm)],[f195,f2218])).
% 0.07/5.98 fof(f2400,plain,(
% 0.07/5.98 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 0.07/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2392,f2384])).
% 0.07/5.98 fof(f2407,plain,(
% 0.07/5.98 ![X0,X1]: (~cyclic(X0,X1,X0,X0)|~cyclic(X0,X1,X0,X1)|~cyclic(X0,X1,X0,X0)|cong(X0,X1,X0,X1))),
% 0.07/5.98 inference(resolution,[status(thm)],[f198,f2212])).
% 0.07/5.98 fof(f2416,plain,(
% 0.07/5.98 ![X0,X1]: (~cyclic(X0,X1,X0,X0)|~cyclic(X0,X1,X0,X1)|cong(X0,X1,X0,X1))),
% 0.07/5.98 inference(duplicate_literals_removal,[status(thm)],[f2407])).
% 0.07/5.98 fof(f2418,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.07/5.98 inference(resolution,[status(thm)],[f2400,f136])).
% 0.07/5.98 fof(f2425,plain,(
% 0.07/5.98 ![X0,X1]: (~cyclic(X0,X1,X0,X0)|cong(X0,X1,X0,X1))),
% 0.07/5.98 inference(backward_subsumption_resolution,[status(thm)],[f2416,f2431])).
% 0.07/5.98 fof(f2431,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.07/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2418,f2400])).
% 0.07/5.98 fof(f2434,plain,(
% 0.07/5.98 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 0.07/5.98 inference(forward_subsumption_resolution,[status(thm)],[f2425,f2431])).
% 0.07/5.98 fof(f3735,plain,(
% 0.07/5.98 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 0.07/5.98 inference(resolution,[status(thm)],[f232,f2434])).
% 0.07/5.98 fof(f3737,plain,(
% 0.07/5.98 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 0.07/5.98 inference(forward_subsumption_resolution,[status(thm)],[f3735,f2434])).
% 0.07/5.98 fof(f3765,plain,(
% 0.07/5.98 ![X0,X1,X2,X3,X4]: (~para(X0,X1,X2,X2)|perp(X0,X1,X3,X4))),
% 0.07/5.98 inference(resolution,[status(thm)],[f3737,f120])).
% 0.07/5.98 fof(f3766,plain,(
% 0.07/5.98 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 0.07/5.98 inference(resolution,[status(thm)],[f3737,f117])).
% 0.07/5.98 fof(f3768,plain,(
% 0.07/5.98 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 0.07/5.98 inference(resolution,[status(thm)],[f3737,f114])).
% 0.07/5.98 fof(f3770,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 0.07/5.98 inference(backward_subsumption_resolution,[status(thm)],[f3766,f3768])).
% 0.07/5.98 fof(f3798,plain,(
% 0.07/5.98 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 0.07/6.00 inference(backward_subsumption_resolution,[status(thm)],[f3765,f3770])).
% 0.07/6.00 fof(f3811,plain,(
% 0.07/6.00 $false),
% 0.07/6.00 inference(backward_subsumption_resolution,[status(thm)],[f399,f3798])).
% 0.07/6.00 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/6.01 % Elapsed time: 0.689720 seconds
% 0.07/6.01 % CPU time: 5.340677 seconds
% 0.07/6.01 % Total memory used: 146.423 MB
% 0.07/6.01 % Net memory used: 140.587 MB
%------------------------------------------------------------------------------