%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO581+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 : n014.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 2.44s 0.83s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO581+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 17:38:34 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 2.44/0.83 % Refutation found
% 2.44/0.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.44/0.83 % SZS output start CNFRefutation for theBenchmark
% 2.44/0.83 fof(f1,axiom,(
% 2.44/0.83 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f2,axiom,(
% 2.44/0.83 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f3,axiom,(
% 2.44/0.83 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f4,axiom,(
% 2.44/0.83 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f5,axiom,(
% 2.44/0.83 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f7,axiom,(
% 2.44/0.83 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f8,axiom,(
% 2.44/0.83 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f9,axiom,(
% 2.44/0.83 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f10,axiom,(
% 2.44/0.83 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f19,axiom,(
% 2.44/0.83 (! [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) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f20,axiom,(
% 2.44/0.83 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f21,axiom,(
% 2.44/0.83 (! [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) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f22,axiom,(
% 2.44/0.83 (! [A,B,C,D,P,Q,U,V,E,F,G,H] :( ( eqangle(A,B,C,D,P,Q,U,V)& eqangle(P,Q,U,V,E,F,G,H) )=> eqangle(A,B,C,D,E,F,G,H) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f23,axiom,(
% 2.44/0.83 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f24,axiom,(
% 2.44/0.83 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f25,axiom,(
% 2.44/0.83 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f39,axiom,(
% 2.44/0.83 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f40,axiom,(
% 2.44/0.83 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f57,axiom,(
% 2.44/0.83 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f65,axiom,(
% 2.44/0.83 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f67,axiom,(
% 2.44/0.83 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f68,axiom,(
% 2.44/0.83 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f69,axiom,(
% 2.44/0.83 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f95,conjecture,(
% 2.44/0.83 (! [A,B,C,F,E,P] :( ( perp(C,A,C,B)& eqangle(B,A,A,E,A,E,E,F)& cong(A,E,E,F)& coll(P,B,E)& coll(P,A,F) )=> eqangle(A,C,C,P,P,C,C,B) ) )),
% 2.44/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.83 fof(f96,negated_conjecture,(
% 2.44/0.83 ~((! [A,B,C,F,E,P] :( ( perp(C,A,C,B)& eqangle(B,A,A,E,A,E,E,F)& cong(A,E,E,F)& coll(P,B,E)& coll(P,A,F) )=> eqangle(A,C,C,P,P,C,C,B) ) ))),
% 2.44/0.83 inference(negated_conjecture,[status(cth)],[f95])).
% 2.44/0.83 fof(f97,plain,(
% 2.44/0.83 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 2.44/0.83 fof(f98,plain,(
% 2.44/0.83 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f97])).
% 2.44/0.83 fof(f99,plain,(
% 2.44/0.83 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 2.44/0.83 fof(f100,plain,(
% 2.44/0.83 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f99])).
% 2.44/0.83 fof(f101,plain,(
% 2.44/0.83 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 2.44/0.83 fof(f102,plain,(
% 2.44/0.83 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 2.44/0.83 inference(miniscoping,[status(thm)],[f101])).
% 2.44/0.83 fof(f103,plain,(
% 2.44/0.83 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f102])).
% 2.44/0.83 fof(f104,plain,(
% 2.44/0.83 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 2.44/0.83 fof(f105,plain,(
% 2.44/0.83 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f104])).
% 2.44/0.83 fof(f106,plain,(
% 2.44/0.83 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 2.44/0.83 fof(f107,plain,(
% 2.44/0.83 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f106])).
% 2.44/0.83 fof(f111,plain,(
% 2.44/0.83 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 2.44/0.83 fof(f112,plain,(
% 2.44/0.83 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f111])).
% 2.44/0.83 fof(f113,plain,(
% 2.44/0.83 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 2.44/0.83 fof(f114,plain,(
% 2.44/0.83 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f113])).
% 2.44/0.83 fof(f115,plain,(
% 2.44/0.83 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 2.44/0.83 fof(f116,plain,(
% 2.44/0.83 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.44/0.83 inference(miniscoping,[status(thm)],[f115])).
% 2.44/0.83 fof(f117,plain,(
% 2.44/0.83 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f116])).
% 2.44/0.83 fof(f118,plain,(
% 2.44/0.83 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 2.44/0.83 fof(f119,plain,(
% 2.44/0.83 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 2.44/0.83 inference(miniscoping,[status(thm)],[f118])).
% 2.44/0.83 fof(f120,plain,(
% 2.44/0.83 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f119])).
% 2.44/0.83 fof(f139,plain,(
% 2.44/0.83 ![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))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 2.44/0.83 fof(f140,plain,(
% 2.44/0.83 ![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))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f139])).
% 2.44/0.83 fof(f141,plain,(
% 2.44/0.83 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 2.44/0.83 fof(f142,plain,(
% 2.44/0.83 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f141])).
% 2.44/0.83 fof(f143,plain,(
% 2.44/0.83 ![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))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 2.44/0.83 fof(f144,plain,(
% 2.44/0.83 ![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))),
% 2.44/0.83 inference(cnf_transformation,[status(thm)],[f143])).
% 2.44/0.83 fof(f145,plain,(
% 2.44/0.83 ![A,B,C,D,P,Q,U,V,E,F,G,H]: ((~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H))|eqangle(A,B,C,D,E,F,G,H))),
% 2.44/0.83 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 2.44/0.83 fof(f146,plain,(
% 2.44/0.83 ![A,B,C,D,E,F,G,H]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H)))|eqangle(A,B,C,D,E,F,G,H))),
% 2.44/0.83 inference(miniscoping,[status(thm)],[f145])).
% 2.44/0.83 fof(f147,plain,(
% 2.44/0.83 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X4,X5,X6,X7,X8,X9,X10,X11)|eqangle(X0,X1,X2,X3,X8,X9,X10,X11))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f146])).
% 2.44/0.84 fof(f148,plain,(
% 2.44/0.84 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 2.44/0.84 fof(f149,plain,(
% 2.44/0.84 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f148])).
% 2.44/0.84 fof(f150,plain,(
% 2.44/0.84 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 2.44/0.84 fof(f151,plain,(
% 2.44/0.84 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f150])).
% 2.44/0.84 fof(f152,plain,(
% 2.44/0.84 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 2.44/0.84 fof(f153,plain,(
% 2.44/0.84 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 2.44/0.84 inference(miniscoping,[status(thm)],[f152])).
% 2.44/0.84 fof(f154,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f153])).
% 2.44/0.84 fof(f184,plain,(
% 2.44/0.84 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 2.44/0.84 fof(f185,plain,(
% 2.44/0.84 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 2.44/0.84 inference(miniscoping,[status(thm)],[f184])).
% 2.44/0.84 fof(f186,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f185])).
% 2.44/0.84 fof(f187,plain,(
% 2.44/0.84 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 2.44/0.84 fof(f188,plain,(
% 2.44/0.84 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.44/0.84 inference(miniscoping,[status(thm)],[f187])).
% 2.44/0.84 fof(f189,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f188])).
% 2.44/0.84 fof(f231,plain,(
% 2.44/0.84 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 2.44/0.84 fof(f232,plain,(
% 2.44/0.84 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f231])).
% 2.44/0.84 fof(f250,plain,(
% 2.44/0.84 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 2.44/0.84 fof(f251,plain,(
% 2.44/0.84 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 2.44/0.84 inference(miniscoping,[status(thm)],[f250])).
% 2.44/0.84 fof(f252,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f251])).
% 2.44/0.84 fof(f255,plain,(
% 2.44/0.84 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 2.44/0.84 fof(f256,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f255])).
% 2.44/0.84 fof(f257,plain,(
% 2.44/0.84 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 2.44/0.84 fof(f258,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f257])).
% 2.44/0.84 fof(f259,plain,(
% 2.44/0.84 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 2.44/0.84 fof(f260,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f259])).
% 2.44/0.84 fof(f369,plain,(
% 2.44/0.84 (?[A,B,C,F,E,P]: (((((perp(C,A,C,B)&eqangle(B,A,A,E,A,E,E,F))&cong(A,E,E,F))&coll(P,B,E))&coll(P,A,F))&~eqangle(A,C,C,P,P,C,C,B)))),
% 2.44/0.84 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 2.44/0.84 fof(f370,plain,(
% 2.44/0.84 ?[A,B,C,P]: ((?[F]: ((?[E]: (((perp(C,A,C,B)&eqangle(B,A,A,E,A,E,E,F))&cong(A,E,E,F))&coll(P,B,E)))&coll(P,A,F)))&~eqangle(A,C,C,P,P,C,C,B))),
% 2.44/0.84 inference(miniscoping,[status(thm)],[f369])).
% 2.44/0.84 fof(f371,plain,(
% 2.44/0.84 (((((perp(sK22_skl,sK20_skl,sK22_skl,sK21_skl)&eqangle(sK21_skl,sK20_skl,sK20_skl,sK25_skl,sK20_skl,sK25_skl,sK25_skl,sK24_skl))&cong(sK20_skl,sK25_skl,sK25_skl,sK24_skl))&coll(sK23_skl,sK21_skl,sK25_skl))&coll(sK23_skl,sK20_skl,sK24_skl))&~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK23_skl,sK22_skl,sK22_skl,sK21_skl))),
% 2.44/0.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(C,sK22_skl),skolemize(P,sK23_skl),skolemize(F,sK24_skl),skolemize(E,sK25_skl)],[f370])).
% 2.44/0.84 fof(f372,plain,(
% 2.44/0.84 perp(sK22_skl,sK20_skl,sK22_skl,sK21_skl)),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f371])).
% 2.44/0.84 fof(f374,plain,(
% 2.44/0.84 cong(sK20_skl,sK25_skl,sK25_skl,sK24_skl)),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f371])).
% 2.44/0.84 fof(f375,plain,(
% 2.44/0.84 coll(sK23_skl,sK21_skl,sK25_skl)),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f371])).
% 2.44/0.84 fof(f376,plain,(
% 2.44/0.84 coll(sK23_skl,sK20_skl,sK24_skl)),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f371])).
% 2.44/0.84 fof(f377,plain,(
% 2.44/0.84 ~eqangle(sK20_skl,sK22_skl,sK22_skl,sK23_skl,sK23_skl,sK22_skl,sK22_skl,sK21_skl)),
% 2.44/0.84 inference(cnf_transformation,[status(thm)],[f371])).
% 2.44/0.84 fof(f378,plain,(
% 2.44/0.84 coll(sK23_skl,sK24_skl,sK20_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f98,f376])).
% 2.44/0.84 fof(f379,plain,(
% 2.44/0.84 coll(sK23_skl,sK25_skl,sK21_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f98,f375])).
% 2.44/0.84 fof(f382,plain,(
% 2.44/0.84 coll(sK25_skl,sK23_skl,sK21_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f100,f379])).
% 2.44/0.84 fof(f383,plain,(
% 2.44/0.84 coll(sK24_skl,sK23_skl,sK20_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f100,f378])).
% 2.44/0.84 fof(f385,plain,(
% 2.44/0.84 coll(sK21_skl,sK23_skl,sK25_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f100,f375])).
% 2.44/0.84 fof(f387,plain,(
% 2.44/0.84 coll(sK25_skl,sK21_skl,sK23_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f382,f98])).
% 2.44/0.84 fof(f389,plain,(
% 2.44/0.84 coll(sK24_skl,sK20_skl,sK23_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f383,f98])).
% 2.44/0.84 fof(f398,plain,(
% 2.44/0.84 ![X0]: (~coll(sK21_skl,sK23_skl,X0)|coll(X0,sK25_skl,sK21_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f103,f385])).
% 2.44/0.84 fof(f400,plain,(
% 2.44/0.84 ![X0]: (~coll(sK24_skl,sK20_skl,X0)|coll(X0,sK23_skl,sK24_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f103,f389])).
% 2.44/0.84 fof(f402,plain,(
% 2.44/0.84 ![X0]: (~coll(sK25_skl,sK21_skl,X0)|coll(X0,sK23_skl,sK25_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f103,f387])).
% 2.44/0.84 fof(f404,plain,(
% 2.44/0.84 ![X0]: (~coll(sK23_skl,sK25_skl,X0)|coll(X0,sK21_skl,sK23_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f103,f379])).
% 2.44/0.84 fof(f405,plain,(
% 2.44/0.84 ![X0]: (~coll(sK23_skl,sK24_skl,X0)|coll(X0,sK20_skl,sK23_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f103,f378])).
% 2.44/0.84 fof(f408,plain,(
% 2.44/0.84 perp(sK22_skl,sK20_skl,sK21_skl,sK22_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f112,f372])).
% 2.44/0.84 fof(f416,plain,(
% 2.44/0.84 perp(sK21_skl,sK22_skl,sK22_skl,sK20_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f114,f408])).
% 2.44/0.84 fof(f417,plain,(
% 2.44/0.84 perp(sK22_skl,sK21_skl,sK22_skl,sK20_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f114,f372])).
% 2.44/0.84 fof(f421,plain,(
% 2.44/0.84 perp(sK22_skl,sK21_skl,sK20_skl,sK22_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f417,f112])).
% 2.44/0.84 fof(f425,plain,(
% 2.44/0.84 ![X0,X1]: (~perp(X0,X1,sK21_skl,sK22_skl)|para(X0,X1,sK22_skl,sK20_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f117,f416])).
% 2.44/0.84 fof(f426,plain,(
% 2.44/0.84 ![X0,X1]: (~perp(X0,X1,sK22_skl,sK21_skl)|para(X0,X1,sK22_skl,sK20_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f117,f417])).
% 2.44/0.84 fof(f427,plain,(
% 2.44/0.84 ![X0,X1]: (~perp(X0,X1,sK22_skl,sK20_skl)|para(X0,X1,sK21_skl,sK22_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f117,f408])).
% 2.44/0.84 fof(f430,plain,(
% 2.44/0.84 perp(sK20_skl,sK22_skl,sK22_skl,sK21_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f421,f114])).
% 2.44/0.84 fof(f438,plain,(
% 2.44/0.84 coll(sK25_skl,sK25_skl,sK21_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f398,f385])).
% 2.44/0.84 fof(f442,plain,(
% 2.44/0.84 coll(sK25_skl,sK21_skl,sK25_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f438,f98])).
% 2.44/0.84 fof(f446,plain,(
% 2.44/0.84 ![X0]: (~coll(sK25_skl,sK21_skl,X0)|coll(X0,sK25_skl,sK25_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f442,f103])).
% 2.44/0.84 fof(f461,plain,(
% 2.44/0.84 cong(sK25_skl,sK24_skl,sK20_skl,sK25_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f151,f374])).
% 2.44/0.84 fof(f487,plain,(
% 2.44/0.84 coll(sK23_skl,sK23_skl,sK24_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f400,f389])).
% 2.44/0.84 fof(f497,plain,(
% 2.44/0.84 ![X0]: (~coll(sK23_skl,sK23_skl,X0)|coll(X0,sK24_skl,sK23_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f487,f103])).
% 2.44/0.84 fof(f530,plain,(
% 2.44/0.84 coll(sK23_skl,sK23_skl,sK25_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f402,f387])).
% 2.44/0.84 fof(f533,plain,(
% 2.44/0.84 coll(sK23_skl,sK25_skl,sK23_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f530,f98])).
% 2.44/0.84 fof(f555,plain,(
% 2.44/0.84 coll(sK23_skl,sK21_skl,sK23_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f404,f533])).
% 2.44/0.84 fof(f561,plain,(
% 2.44/0.84 coll(sK23_skl,sK23_skl,sK21_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f555,f98])).
% 2.44/0.84 fof(f601,plain,(
% 2.44/0.84 ![X0,X1]: (~cong(X0,X1,sK25_skl,sK24_skl)|cong(X0,X1,sK20_skl,sK25_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f154,f461])).
% 2.44/0.84 fof(f694,plain,(
% 2.44/0.84 coll(sK21_skl,sK24_skl,sK23_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f497,f561])).
% 2.44/0.84 fof(f698,plain,(
% 2.44/0.84 coll(sK24_skl,sK21_skl,sK23_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f694,f100])).
% 2.44/0.84 fof(f705,plain,(
% 2.44/0.84 coll(sK24_skl,sK23_skl,sK21_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f698,f98])).
% 2.44/0.84 fof(f720,plain,(
% 2.44/0.84 coll(sK23_skl,sK24_skl,sK21_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f705,f100])).
% 2.44/0.84 fof(f753,plain,(
% 2.44/0.84 coll(sK21_skl,sK20_skl,sK23_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f720,f405])).
% 2.44/0.84 fof(f789,plain,(
% 2.44/0.84 coll(sK21_skl,sK23_skl,sK20_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f753,f98])).
% 2.44/0.84 fof(f828,plain,(
% 2.44/0.84 coll(sK20_skl,sK25_skl,sK21_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f789,f398])).
% 2.44/0.84 fof(f878,plain,(
% 2.44/0.84 coll(sK25_skl,sK20_skl,sK21_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f828,f100])).
% 2.44/0.84 fof(f909,plain,(
% 2.44/0.84 coll(sK25_skl,sK21_skl,sK20_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f878,f98])).
% 2.44/0.84 fof(f921,plain,(
% 2.44/0.84 coll(sK20_skl,sK25_skl,sK25_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f909,f446])).
% 2.44/0.84 fof(f974,plain,(
% 2.44/0.84 para(sK20_skl,sK22_skl,sK22_skl,sK20_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f426,f430])).
% 2.44/0.84 fof(f983,plain,(
% 2.44/0.84 para(sK20_skl,sK22_skl,sK20_skl,sK22_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f974,f105])).
% 2.44/0.84 fof(f1083,plain,(
% 2.44/0.84 cong(sK20_skl,sK25_skl,sK20_skl,sK25_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f601,f374])).
% 2.44/0.84 fof(f1139,plain,(
% 2.44/0.84 ![X0,X1]: (eqangle(sK20_skl,sK22_skl,X0,X1,sK20_skl,sK22_skl,X0,X1))),
% 2.44/0.84 inference(resolution,[status(thm)],[f189,f983])).
% 2.44/0.84 fof(f2247,plain,(
% 2.44/0.84 ![X0,X1]: (eqangle(X0,X1,sK20_skl,sK22_skl,X0,X1,sK20_skl,sK22_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f1139,f140])).
% 2.44/0.84 fof(f2468,plain,(
% 2.44/0.84 ~coll(sK20_skl,sK25_skl,sK25_skl)|midp(sK20_skl,sK25_skl,sK25_skl)),
% 2.44/0.84 inference(resolution,[status(thm)],[f258,f1083])).
% 2.44/0.84 fof(f2474,plain,(
% 2.44/0.84 midp(sK20_skl,sK25_skl,sK25_skl)),
% 2.44/0.84 inference(forward_subsumption_resolution,[status(thm)],[f2468,f921])).
% 2.44/0.84 fof(f3050,plain,(
% 2.44/0.84 ![X0,X1]: (para(X0,X1,X0,X1))),
% 2.44/0.84 inference(resolution,[status(thm)],[f2247,f186])).
% 2.44/0.84 fof(f3060,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3050,f252])).
% 2.44/0.84 fof(f3068,plain,(
% 2.44/0.84 ![X0,X1]: (coll(X0,X1,X1))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3050,f256])).
% 2.44/0.84 fof(f3069,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2))),
% 2.44/0.84 inference(forward_subsumption_resolution,[status(thm)],[f3060,f3050])).
% 2.44/0.84 fof(f3251,plain,(
% 2.44/0.84 ![X0,X1]: (coll(X0,X1,X0))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3068,f100])).
% 2.44/0.84 fof(f3435,plain,(
% 2.44/0.84 ![X0,X1]: (coll(X0,X0,X1))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3251,f98])).
% 2.44/0.84 fof(f3466,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3435,f103])).
% 2.44/0.84 fof(f3469,plain,(
% 2.44/0.84 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 2.44/0.84 inference(forward_subsumption_resolution,[status(thm)],[f3466,f3435])).
% 2.44/0.84 fof(f3470,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 2.44/0.84 inference(backward_subsumption_resolution,[status(thm)],[f258,f3469])).
% 2.44/0.84 fof(f3561,plain,(
% 2.44/0.84 ![X0]: (midp(sK20_skl,X0,X0))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3069,f2474])).
% 2.44/0.84 fof(f3571,plain,(
% 2.44/0.84 ![X0]: (cong(sK20_skl,X0,sK20_skl,X0))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3561,f260])).
% 2.44/0.84 fof(f3593,plain,(
% 2.44/0.84 ![X0]: (cong(sK20_skl,X0,X0,sK20_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3571,f149])).
% 2.44/0.84 fof(f3631,plain,(
% 2.44/0.84 ![X0]: (cong(X0,sK20_skl,sK20_skl,X0))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3593,f151])).
% 2.44/0.84 fof(f3688,plain,(
% 2.44/0.84 ![X0]: (cong(X0,sK20_skl,X0,sK20_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3631,f149])).
% 2.44/0.84 fof(f3728,plain,(
% 2.44/0.84 ![X0]: (midp(X0,sK20_skl,sK20_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3688,f3470])).
% 2.44/0.84 fof(f3752,plain,(
% 2.44/0.84 ![X0,X1]: (midp(X0,X1,X1))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3728,f3069])).
% 2.44/0.84 fof(f3763,plain,(
% 2.44/0.84 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3752,f260])).
% 2.44/0.84 fof(f3773,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3763,f232])).
% 2.44/0.84 fof(f3780,plain,(
% 2.44/0.84 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 2.44/0.84 inference(forward_subsumption_resolution,[status(thm)],[f3773,f3763])).
% 2.44/0.84 fof(f3793,plain,(
% 2.44/0.84 ![X0]: (para(X0,X0,sK22_skl,sK20_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3780,f425])).
% 2.44/0.84 fof(f3796,plain,(
% 2.44/0.84 ![X0]: (para(X0,X0,sK21_skl,sK22_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3780,f427])).
% 2.44/0.84 fof(f3863,plain,(
% 2.44/0.84 ![X0]: (para(sK22_skl,sK20_skl,X0,X0))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3793,f107])).
% 2.44/0.84 fof(f3881,plain,(
% 2.44/0.84 ![X0]: (para(sK21_skl,sK22_skl,X0,X0))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3796,f107])).
% 2.44/0.84 fof(f3904,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~perp(X0,X0,X1,X2)|perp(sK22_skl,sK20_skl,X1,X2))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3863,f120])).
% 2.44/0.84 fof(f3908,plain,(
% 2.44/0.84 ![X0,X1]: (perp(sK22_skl,sK20_skl,X0,X1))),
% 2.44/0.84 inference(forward_subsumption_resolution,[status(thm)],[f3904,f3780])).
% 2.44/0.84 fof(f3924,plain,(
% 2.44/0.84 ![X0,X1,X2]: (~perp(X0,X0,X1,X2)|perp(sK21_skl,sK22_skl,X1,X2))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3881,f120])).
% 2.44/0.84 fof(f3928,plain,(
% 2.44/0.84 ![X0,X1]: (perp(sK21_skl,sK22_skl,X0,X1))),
% 2.44/0.84 inference(forward_subsumption_resolution,[status(thm)],[f3924,f3780])).
% 2.44/0.84 fof(f3964,plain,(
% 2.44/0.84 ![X0,X1]: (perp(X0,X1,sK22_skl,sK20_skl))),
% 2.44/0.84 inference(resolution,[status(thm)],[f3908,f114])).
% 2.44/0.84 fof(f4005,plain,(
% 2.44/0.84 ![X0,X1]: (para(X0,X1,sK21_skl,sK22_skl))),
% 2.44/0.84 inference(backward_subsumption_resolution,[status(thm)],[f427,f3964])).
% 2.44/0.84 fof(f4031,plain,(
% 2.44/0.84 ![X0,X1,X2,X3]: (~perp(sK21_skl,sK22_skl,X0,X1)|perp(X2,X3,X0,X1))),
% 2.44/0.84 inference(resolution,[status(thm)],[f4005,f120])).
% 2.44/0.84 fof(f4035,plain,(
% 2.44/0.84 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 2.44/0.84 inference(forward_subsumption_resolution,[status(thm)],[f4031,f3928])).
% 2.44/0.84 fof(f4036,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3))),
% 2.44/0.84 inference(backward_subsumption_resolution,[status(thm)],[f117,f4035])).
% 2.44/0.84 fof(f4038,plain,(
% 2.44/0.84 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 2.44/0.84 inference(forward_subsumption_resolution,[status(thm)],[f4036,f4035])).
% 2.44/0.84 fof(f4043,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3))),
% 2.44/0.84 inference(backward_subsumption_resolution,[status(thm)],[f189,f4038])).
% 2.44/0.84 fof(f4190,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 2.44/0.84 inference(resolution,[status(thm)],[f4043,f144])).
% 2.44/0.84 fof(f4292,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5))),
% 2.44/0.84 inference(resolution,[status(thm)],[f4190,f142])).
% 2.44/0.84 fof(f4506,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|eqangle(X0,X1,X2,X3,X6,X7,X8,X9))),
% 2.44/0.84 inference(resolution,[status(thm)],[f4292,f147])).
% 2.44/0.84 fof(f4511,plain,(
% 2.44/0.84 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7))),
% 2.44/0.84 inference(forward_subsumption_resolution,[status(thm)],[f4506,f4190])).
% 2.44/0.84 fof(f5095,plain,(
% 2.44/0.84 $false),
% 2.44/0.84 inference(backward_subsumption_resolution,[status(thm)],[f377,f4511])).
% 2.44/0.84 % SZS output end CNFRefutation for theBenchmark.p
% 0.57/0.85 % Elapsed time: 0.462065 seconds
% 0.57/0.85 % CPU time: 3.388283 seconds
% 0.57/0.85 % Total memory used: 112.733 MB
% 0.57/0.85 % Net memory used: 109.331 MB
%------------------------------------------------------------------------------