%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO542+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 : n008.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 12:26:36 PM UTC 2026
% Result : Theorem 3.98s 0.96s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO542+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
% 0.10/0.35 % Computer : n008.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 17:21:23 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 3.98/0.96 % Refutation found
% 3.98/0.96 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.98/0.96 % SZS output start CNFRefutation for theBenchmark
% 3.98/0.96 fof(f4,axiom,(
% 3.98/0.96 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f5,axiom,(
% 3.98/0.96 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f7,axiom,(
% 3.98/0.96 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f8,axiom,(
% 3.98/0.96 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f9,axiom,(
% 3.98/0.96 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f10,axiom,(
% 3.98/0.96 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f11,axiom,(
% 3.98/0.96 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f12,axiom,(
% 3.98/0.96 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f18,axiom,(
% 3.98/0.96 (! [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) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f19,axiom,(
% 3.98/0.96 (! [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) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f20,axiom,(
% 3.98/0.96 (! [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) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f21,axiom,(
% 3.98/0.96 (! [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) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f23,axiom,(
% 3.98/0.96 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f24,axiom,(
% 3.98/0.96 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f25,axiom,(
% 3.98/0.96 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f39,axiom,(
% 3.98/0.96 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f40,axiom,(
% 3.98/0.96 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f42,axiom,(
% 3.98/0.96 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f43,axiom,(
% 3.98/0.96 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f44,axiom,(
% 3.98/0.96 (! [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) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f45,axiom,(
% 3.98/0.96 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f46,axiom,(
% 3.98/0.96 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f52,axiom,(
% 3.98/0.96 (! [A,B,C,O,M] :( ( circle(O,A,B,C)& coll(M,B,C)& eqangle(A,B,A,C,O,B,O,M) )=> midp(M,B,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f53,axiom,(
% 3.98/0.96 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f57,axiom,(
% 3.98/0.96 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f58,axiom,(
% 3.98/0.96 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f65,axiom,(
% 3.98/0.96 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f67,axiom,(
% 3.98/0.96 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f68,axiom,(
% 3.98/0.96 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f69,axiom,(
% 3.98/0.96 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f87,axiom,(
% 3.98/0.96 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f95,conjecture,(
% 3.98/0.96 (! [A,B,C,A1,B1,C1,O] :( ( midp(A1,C,B)& midp(B1,C,A)& midp(C1,B,A)& circle(O,A,B,C) )=> perp(O,A1,B1,C1) ) )),
% 3.98/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.96 fof(f96,negated_conjecture,(
% 3.98/0.96 ~((! [A,B,C,A1,B1,C1,O] :( ( midp(A1,C,B)& midp(B1,C,A)& midp(C1,B,A)& circle(O,A,B,C) )=> perp(O,A1,B1,C1) ) ))),
% 3.98/0.96 inference(negated_conjecture,[status(cth)],[f95])).
% 3.98/0.96 fof(f104,plain,(
% 3.98/0.96 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 3.98/0.96 fof(f105,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f104])).
% 3.98/0.96 fof(f106,plain,(
% 3.98/0.96 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 3.98/0.96 fof(f107,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f106])).
% 3.98/0.96 fof(f111,plain,(
% 3.98/0.96 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 3.98/0.96 fof(f112,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f111])).
% 3.98/0.96 fof(f113,plain,(
% 3.98/0.96 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 3.98/0.96 fof(f114,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f113])).
% 3.98/0.96 fof(f115,plain,(
% 3.98/0.96 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 3.98/0.96 fof(f116,plain,(
% 3.98/0.96 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f115])).
% 3.98/0.96 fof(f117,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f116])).
% 3.98/0.96 fof(f118,plain,(
% 3.98/0.96 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 3.98/0.96 fof(f119,plain,(
% 3.98/0.96 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f118])).
% 3.98/0.96 fof(f120,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f119])).
% 3.98/0.96 fof(f121,plain,(
% 3.98/0.96 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 3.98/0.96 fof(f122,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f121])).
% 3.98/0.96 fof(f123,plain,(
% 3.98/0.96 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 3.98/0.96 fof(f124,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f123])).
% 3.98/0.96 fof(f137,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 3.98/0.96 fof(f138,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f137])).
% 3.98/0.96 fof(f139,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 3.98/0.96 fof(f140,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f139])).
% 3.98/0.96 fof(f141,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 3.98/0.96 fof(f142,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f141])).
% 3.98/0.96 fof(f143,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 3.98/0.96 fof(f144,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f143])).
% 3.98/0.96 fof(f148,plain,(
% 3.98/0.96 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 3.98/0.96 fof(f149,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f148])).
% 3.98/0.96 fof(f150,plain,(
% 3.98/0.96 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 3.98/0.96 fof(f151,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f150])).
% 3.98/0.96 fof(f152,plain,(
% 3.98/0.96 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 3.98/0.96 fof(f153,plain,(
% 3.98/0.96 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f152])).
% 3.98/0.96 fof(f154,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f153])).
% 3.98/0.96 fof(f184,plain,(
% 3.98/0.96 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 3.98/0.96 fof(f185,plain,(
% 3.98/0.96 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f184])).
% 3.98/0.96 fof(f186,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f185])).
% 3.98/0.96 fof(f187,plain,(
% 3.98/0.96 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 3.98/0.96 fof(f188,plain,(
% 3.98/0.96 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f187])).
% 3.98/0.96 fof(f189,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f188])).
% 3.98/0.96 fof(f192,plain,(
% 3.98/0.96 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 3.98/0.96 fof(f193,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f192])).
% 3.98/0.96 fof(f194,plain,(
% 3.98/0.96 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 3.98/0.96 fof(f195,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f194])).
% 3.98/0.96 fof(f196,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 3.98/0.96 fof(f197,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f196])).
% 3.98/0.96 fof(f198,plain,(
% 3.98/0.96 ![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))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f197])).
% 3.98/0.96 fof(f199,plain,(
% 3.98/0.96 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 3.98/0.96 fof(f200,plain,(
% 3.98/0.96 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f199])).
% 3.98/0.96 fof(f201,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f200])).
% 3.98/0.96 fof(f202,plain,(
% 3.98/0.96 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 3.98/0.96 fof(f203,plain,(
% 3.98/0.96 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f202])).
% 3.98/0.96 fof(f204,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f203])).
% 3.98/0.96 fof(f217,plain,(
% 3.98/0.96 ![A,B,C,O,M]: (((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M))|midp(M,B,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 3.98/0.96 fof(f218,plain,(
% 3.98/0.96 ![B,C,M]: ((![A,O]: ((~circle(O,A,B,C)|~coll(M,B,C))|~eqangle(A,B,A,C,O,B,O,M)))|midp(M,B,C))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f217])).
% 3.98/0.96 fof(f219,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~coll(X4,X2,X3)|~eqangle(X1,X2,X1,X3,X0,X2,X0,X4)|midp(X4,X2,X3))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f218])).
% 3.98/0.96 fof(f220,plain,(
% 3.98/0.96 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 3.98/0.96 fof(f221,plain,(
% 3.98/0.96 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f220])).
% 3.98/0.96 fof(f222,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f221])).
% 3.98/0.96 fof(f231,plain,(
% 3.98/0.96 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 3.98/0.96 fof(f232,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f231])).
% 3.98/0.96 fof(f233,plain,(
% 3.98/0.96 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 3.98/0.96 fof(f234,plain,(
% 3.98/0.96 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f233])).
% 3.98/0.96 fof(f235,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f234])).
% 3.98/0.96 fof(f250,plain,(
% 3.98/0.96 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 3.98/0.96 fof(f251,plain,(
% 3.98/0.96 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f250])).
% 3.98/0.96 fof(f252,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f251])).
% 3.98/0.96 fof(f255,plain,(
% 3.98/0.96 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 3.98/0.96 fof(f256,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f255])).
% 3.98/0.96 fof(f257,plain,(
% 3.98/0.96 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 3.98/0.96 fof(f258,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f257])).
% 3.98/0.96 fof(f259,plain,(
% 3.98/0.96 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 3.98/0.96 fof(f260,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f259])).
% 3.98/0.96 fof(f331,plain,(
% 3.98/0.96 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 3.98/0.96 fof(f332,plain,(
% 3.98/0.96 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f331])).
% 3.98/0.96 fof(f333,plain,(
% 3.98/0.96 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 3.98/0.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 3.98/0.96 fof(f334,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f333])).
% 3.98/0.96 fof(f369,plain,(
% 3.98/0.96 (?[A,B,C,A1,B1,C1,O]: ((((midp(A1,C,B)&midp(B1,C,A))&midp(C1,B,A))&circle(O,A,B,C))&~perp(O,A1,B1,C1)))),
% 3.98/0.96 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 3.98/0.96 fof(f370,plain,(
% 3.98/0.96 ?[A1,B1,C1,O]: ((?[A,B,C]: (((midp(A1,C,B)&midp(B1,C,A))&midp(C1,B,A))&circle(O,A,B,C)))&~perp(O,A1,B1,C1))),
% 3.98/0.96 inference(miniscoping,[status(thm)],[f369])).
% 3.98/0.96 fof(f371,plain,(
% 3.98/0.96 ((((midp(sK20_skl,sK26_skl,sK25_skl)&midp(sK21_skl,sK26_skl,sK24_skl))&midp(sK22_skl,sK25_skl,sK24_skl))&circle(sK23_skl,sK24_skl,sK25_skl,sK26_skl))&~perp(sK23_skl,sK20_skl,sK21_skl,sK22_skl))),
% 3.98/0.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(A1,sK20_skl),skolemize(B1,sK21_skl),skolemize(C1,sK22_skl),skolemize(O,sK23_skl),skolemize(A,sK24_skl),skolemize(B,sK25_skl),skolemize(C,sK26_skl)],[f370])).
% 3.98/0.96 fof(f375,plain,(
% 3.98/0.96 circle(sK23_skl,sK24_skl,sK25_skl,sK26_skl)),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f371])).
% 3.98/0.96 fof(f376,plain,(
% 3.98/0.96 ~perp(sK23_skl,sK20_skl,sK21_skl,sK22_skl)),
% 3.98/0.96 inference(cnf_transformation,[status(thm)],[f371])).
% 3.98/0.96 fof(f385,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~coll(X0,X1,X2)|midp(X0,X1,X2)|~cong(X0,X2,X0,X1))),
% 3.98/0.96 inference(resolution,[status(thm)],[f258,f151])).
% 3.98/0.96 fof(f412,plain,(
% 3.98/0.96 perp(sK11_skl(sK23_skl,sK24_skl),sK24_skl,sK24_skl,sK23_skl)),
% 3.98/0.96 inference(resolution,[status(thm)],[f334,f375])).
% 3.98/0.96 fof(f417,plain,(
% 3.98/0.96 ![X0,X1]: (~perp(X0,X1,sK11_skl(sK23_skl,sK24_skl),sK24_skl)|para(X0,X1,sK24_skl,sK23_skl))),
% 3.98/0.96 inference(resolution,[status(thm)],[f412,f117])).
% 3.98/0.96 fof(f418,plain,(
% 3.98/0.96 perp(sK24_skl,sK23_skl,sK11_skl(sK23_skl,sK24_skl),sK24_skl)),
% 3.98/0.96 inference(resolution,[status(thm)],[f412,f114])).
% 3.98/0.96 fof(f464,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3)|~cong(X0,X3,X3,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f232,f149])).
% 3.98/0.96 fof(f465,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2)|~midp(X0,X2,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f232,f260])).
% 3.98/0.96 fof(f476,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3)|~cong(X3,X2,X0,X3))),
% 3.98/0.96 inference(resolution,[status(thm)],[f464,f151])).
% 3.98/0.96 fof(f523,plain,(
% 3.98/0.96 para(sK24_skl,sK23_skl,sK24_skl,sK23_skl)),
% 3.98/0.96 inference(resolution,[status(thm)],[f417,f418])).
% 3.98/0.96 fof(f530,plain,(
% 3.98/0.96 ![X0,X1]: (eqangle(sK24_skl,sK23_skl,X0,X1,sK24_skl,sK23_skl,X0,X1))),
% 3.98/0.96 inference(resolution,[status(thm)],[f523,f189])).
% 3.98/0.96 fof(f552,plain,(
% 3.98/0.96 ![X0,X1]: (eqangle(X0,X1,sK24_skl,sK23_skl,X0,X1,sK24_skl,sK23_skl))),
% 3.98/0.96 inference(resolution,[status(thm)],[f530,f140])).
% 3.98/0.96 fof(f617,plain,(
% 3.98/0.96 ![X0,X1]: (para(X0,X1,X0,X1))),
% 3.98/0.96 inference(resolution,[status(thm)],[f552,f186])).
% 3.98/0.96 fof(f620,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 3.98/0.96 inference(resolution,[status(thm)],[f617,f189])).
% 3.98/0.96 fof(f624,plain,(
% 3.98/0.96 ![X0,X1]: (para(X0,X1,X1,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f617,f105])).
% 3.98/0.96 fof(f625,plain,(
% 3.98/0.96 ![X0,X1]: (coll(X0,X1,X1))),
% 3.98/0.96 inference(resolution,[status(thm)],[f617,f256])).
% 3.98/0.96 fof(f639,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X2,X4)|~midp(X2,X3,X4))),
% 3.98/0.96 inference(resolution,[status(thm)],[f154,f260])).
% 3.98/0.96 fof(f640,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 3.98/0.96 inference(resolution,[status(thm)],[f624,f189])).
% 3.98/0.96 fof(f641,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X1,X0,X2,X3))),
% 3.98/0.96 inference(resolution,[status(thm)],[f624,f120])).
% 3.98/0.96 fof(f647,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 3.98/0.96 inference(resolution,[status(thm)],[f620,f144])).
% 3.98/0.96 fof(f657,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X2,X3))),
% 3.98/0.96 inference(resolution,[status(thm)],[f640,f144])).
% 3.98/0.96 fof(f670,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~circle(X0,X1,X2,X2)|~coll(X2,X2,X2)|midp(X2,X2,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f647,f219])).
% 3.98/0.96 fof(f672,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~circle(X0,X1,X2,X2)|midp(X2,X2,X2))),
% 3.98/0.96 inference(forward_subsumption_resolution,[status(thm)],[f670,f625])).
% 3.98/0.96 fof(f675,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X3,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f657,f142])).
% 3.98/0.96 fof(f693,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X3,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f675,f138])).
% 3.98/0.96 fof(f713,plain,(
% 3.98/0.96 ![X0,X1,X2]: (midp(X0,X0,X0)|~cong(X1,X2,X1,X0)|~cong(X1,X2,X1,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f672,f124])).
% 3.98/0.96 fof(f714,plain,(
% 3.98/0.96 ![X0,X1,X2]: (midp(X0,X0,X0)|~cong(X1,X2,X1,X0))),
% 3.98/0.96 inference(duplicate_literals_removal,[status(thm)],[f713])).
% 3.98/0.96 fof(f718,plain,(
% 3.98/0.96 ![X0,X1,X2]: (midp(X0,X0,X0)|~cong(X1,X0,X1,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f714,f151])).
% 3.98/0.96 fof(f757,plain,(
% 3.98/0.96 ![X0,X1,X2]: (midp(X0,X0,X0)|~cong(X1,X0,X2,X1))),
% 3.98/0.96 inference(resolution,[status(thm)],[f718,f149])).
% 3.98/0.96 fof(f762,plain,(
% 3.98/0.96 ![X0,X1,X2]: (midp(X0,X0,X0)|~cong(X1,X2,X2,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f757,f151])).
% 3.98/0.96 fof(f769,plain,(
% 3.98/0.96 ![X0,X1,X2]: (midp(X0,X0,X0)|~cong(X1,X2,X0,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f762,f149])).
% 3.98/0.96 fof(f787,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X1,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f641,f114])).
% 3.98/0.96 fof(f788,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X1,X0,X3,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f641,f112])).
% 3.98/0.96 fof(f797,plain,(
% 3.98/0.96 ~perp(sK22_skl,sK21_skl,sK23_skl,sK20_skl)),
% 3.98/0.96 inference(resolution,[status(thm)],[f787,f376])).
% 3.98/0.96 fof(f808,plain,(
% 3.98/0.96 ~perp(sK21_skl,sK22_skl,sK23_skl,sK20_skl)),
% 3.98/0.96 inference(resolution,[status(thm)],[f797,f641])).
% 3.98/0.96 fof(f829,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~perp(X2,X3,X1,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f788,f787])).
% 3.98/0.96 fof(f840,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~perp(X3,X2,X1,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f829,f641])).
% 3.98/0.96 fof(f854,plain,(
% 3.98/0.96 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X2,X4,X0,X3))),
% 3.98/0.96 inference(resolution,[status(thm)],[f201,f107])).
% 3.98/0.96 fof(f891,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (cong(X0,X1,X0,X2)|~midp(X0,X3,X2)|~midp(X0,X1,X3))),
% 3.98/0.96 inference(resolution,[status(thm)],[f639,f260])).
% 3.98/0.96 fof(f957,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~midp(X0,X1,X0)|~midp(X2,X1,X3)|coll(X0,X3,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f854,f256])).
% 3.98/0.96 fof(f971,plain,(
% 3.98/0.96 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 3.98/0.96 inference(resolution,[status(thm)],[f193,f647])).
% 3.98/0.96 fof(f981,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 3.98/0.96 inference(resolution,[status(thm)],[f195,f647])).
% 3.98/0.96 fof(f990,plain,(
% 3.98/0.96 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 3.98/0.96 inference(forward_subsumption_resolution,[status(thm)],[f981,f971])).
% 3.98/0.96 fof(f1155,plain,(
% 3.98/0.96 ![X0,X1]: (~cyclic(X0,X0,X0,X1)|~cyclic(X0,X0,X0,X1)|~cyclic(X0,X0,X0,X1)|cong(X0,X0,X1,X1))),
% 3.98/0.96 inference(resolution,[status(thm)],[f198,f693])).
% 3.98/0.96 fof(f1165,plain,(
% 3.98/0.96 ![X0,X1]: (~cyclic(X0,X0,X0,X1)|cong(X0,X0,X1,X1))),
% 3.98/0.96 inference(duplicate_literals_removal,[status(thm)],[f1155])).
% 3.98/0.96 fof(f1166,plain,(
% 3.98/0.96 ![X0,X1]: (cong(X0,X0,X1,X1))),
% 3.98/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1165,f990])).
% 3.98/0.96 fof(f1178,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~midp(X0,X1,X2)|~coll(X2,X1,X0)|midp(X2,X1,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f204,f624])).
% 3.98/0.96 fof(f1192,plain,(
% 3.98/0.96 ![X0]: (midp(X0,X0,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f1166,f769])).
% 3.98/0.96 fof(f1224,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X1,X2,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f1192,f957])).
% 3.98/0.96 fof(f1244,plain,(
% 3.98/0.96 ![X0,X1,X2]: (coll(X0,X1,X2)|~midp(X2,X1,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f1224,f122])).
% 3.98/0.96 fof(f1245,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0))),
% 3.98/0.96 inference(backward_subsumption_resolution,[status(thm)],[f1178,f1244])).
% 3.98/0.96 fof(f1272,plain,(
% 3.98/0.96 ![X0,X1,X2]: (midp(X0,X1,X2)|~midp(X2,X0,X1))),
% 3.98/0.96 inference(resolution,[status(thm)],[f1245,f122])).
% 3.98/0.96 fof(f1428,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|~cyclic(X0,X0,X1,X2)|perp(X1,X0,X0,X2)|~midp(X0,X2,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f235,f260])).
% 3.98/0.96 fof(f1431,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~midp(X0,X2,X2))),
% 3.98/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1428,f990])).
% 3.98/0.96 fof(f1806,plain,(
% 3.98/0.96 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3)|~cong(X3,X2,X3,X0))),
% 3.98/0.96 inference(resolution,[status(thm)],[f476,f149])).
% 3.98/0.96 fof(f1962,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2))),
% 3.98/0.96 inference(resolution,[status(thm)],[f252,f617])).
% 3.98/0.96 fof(f1963,plain,(
% 3.98/0.96 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2))),
% 3.98/0.98 inference(forward_subsumption_resolution,[status(thm)],[f1962,f617])).
% 3.98/0.98 fof(f1972,plain,(
% 3.98/0.98 ![X0,X1]: (midp(X0,X1,X1))),
% 3.98/0.98 inference(resolution,[status(thm)],[f1963,f1192])).
% 3.98/0.98 fof(f1975,plain,(
% 3.98/0.98 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f1431,f1972])).
% 3.98/0.98 fof(f1976,plain,(
% 3.98/0.98 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f465,f1972])).
% 3.98/0.98 fof(f1983,plain,(
% 3.98/0.98 ![X0,X1]: (midp(X0,X0,X1))),
% 3.98/0.98 inference(resolution,[status(thm)],[f1972,f1272])).
% 3.98/0.98 fof(f2042,plain,(
% 3.98/0.98 ![X0,X1]: (midp(X0,X1,X0))),
% 3.98/0.98 inference(resolution,[status(thm)],[f1983,f1272])).
% 3.98/0.98 fof(f2048,plain,(
% 3.98/0.98 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X1,X0))),
% 3.98/0.98 inference(resolution,[status(thm)],[f1983,f891])).
% 3.98/0.98 fof(f2063,plain,(
% 3.98/0.98 ![X0,X1,X2]: (~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f385,f2100])).
% 3.98/0.98 fof(f2068,plain,(
% 3.98/0.98 ![X0,X1,X2]: (perp(X0,X0,X1,X2))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f1976,f2100])).
% 3.98/0.98 fof(f2069,plain,(
% 3.98/0.98 ![X0,X1,X2]: (perp(X0,X1,X1,X2))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f1975,f2100])).
% 3.98/0.98 fof(f2072,plain,(
% 3.98/0.98 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X1,X3))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f1806,f2100])).
% 3.98/0.98 fof(f2100,plain,(
% 3.98/0.98 ![X0,X1,X2]: (cong(X0,X1,X0,X2))),
% 3.98/0.98 inference(forward_subsumption_resolution,[status(thm)],[f2048,f2042])).
% 3.98/0.98 fof(f2127,plain,(
% 3.98/0.98 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f222,f2069])).
% 3.98/0.98 fof(f2198,plain,(
% 3.98/0.98 ![X0,X1,X2]: (perp(X0,X1,X2,X2))),
% 3.98/0.98 inference(resolution,[status(thm)],[f2068,f840])).
% 3.98/0.98 fof(f2201,plain,(
% 3.98/0.98 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4))),
% 3.98/0.98 inference(resolution,[status(thm)],[f2068,f117])).
% 3.98/0.98 fof(f2210,plain,(
% 3.98/0.98 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f256,f2219])).
% 3.98/0.98 fof(f2219,plain,(
% 3.98/0.98 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3))),
% 3.98/0.98 inference(forward_subsumption_resolution,[status(thm)],[f2201,f2198])).
% 3.98/0.98 fof(f2226,plain,(
% 3.98/0.98 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f2063,f2210])).
% 3.98/0.98 fof(f2235,plain,(
% 3.98/0.98 ![X0,X1,X2]: (cong(X0,X1,X2,X1))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f2127,f2226])).
% 3.98/0.98 fof(f2245,plain,(
% 3.98/0.98 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3))),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f2072,f2235])).
% 3.98/0.98 fof(f2247,plain,(
% 3.98/0.98 $false),
% 3.98/0.98 inference(backward_subsumption_resolution,[status(thm)],[f808,f2245])).
% 3.98/0.98 % SZS output end CNFRefutation for theBenchmark.p
% 3.98/0.98 % Elapsed time: 0.621029 seconds
% 3.98/0.98 % CPU time: 4.625630 seconds
% 3.98/0.98 % Total memory used: 128.646 MB
% 3.98/0.98 % Net memory used: 123.685 MB
%------------------------------------------------------------------------------