TSTP Solution File: GEO582+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO582+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:09:14 EDT 2023
% Result : Theorem 5.38s 1.15s
% Output : CNFRefutation 5.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO582+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:47:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 5.38/1.15 % Refutation found
% 5.38/1.15 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.38/1.15 % SZS output start CNFRefutation for theBenchmark
% 5.38/1.15 fof(f1,axiom,(
% 5.38/1.15 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f2,axiom,(
% 5.38/1.15 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f3,axiom,(
% 5.38/1.15 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f4,axiom,(
% 5.38/1.15 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f8,axiom,(
% 5.38/1.15 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f9,axiom,(
% 5.38/1.15 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f10,axiom,(
% 5.38/1.15 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f12,axiom,(
% 5.38/1.15 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f17,axiom,(
% 5.38/1.15 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f18,axiom,(
% 5.38/1.15 (! [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) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f19,axiom,(
% 5.38/1.15 (! [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) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f20,axiom,(
% 5.38/1.15 (! [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) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f21,axiom,(
% 5.38/1.15 (! [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) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f22,axiom,(
% 5.38/1.15 (! [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) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f39,axiom,(
% 5.38/1.15 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f40,axiom,(
% 5.38/1.15 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f41,axiom,(
% 5.38/1.15 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f43,axiom,(
% 5.38/1.15 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f44,axiom,(
% 5.38/1.15 (! [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) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f46,axiom,(
% 5.38/1.15 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f54,axiom,(
% 5.38/1.15 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f56,axiom,(
% 5.38/1.15 (! [A,B,M,O] :( ( midp(M,A,B)& perp(O,M,A,B) )=> cong(O,A,O,B) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f58,axiom,(
% 5.38/1.15 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f64,axiom,(
% 5.38/1.15 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f67,axiom,(
% 5.38/1.15 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.15 fof(f68,axiom,(
% 5.38/1.15 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 5.38/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.16 fof(f75,axiom,(
% 5.38/1.16 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& perp(P,Q,U,V) )=> perp(A,B,C,D) ) )),
% 5.38/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.16 fof(f95,conjecture,(
% 5.38/1.16 (! [A,B,C,O,D,A1,C1,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(A,B,A,A1)& coll(A1,C,D)& perp(C,D,C,C1)& coll(C1,A,B) )=> para(D,B,A1,C1) ) )),
% 5.38/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.16 fof(f96,negated_conjecture,(
% 5.38/1.16 ~((! [A,B,C,O,D,A1,C1,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(A,B,A,A1)& coll(A1,C,D)& perp(C,D,C,C1)& coll(C1,A,B) )=> para(D,B,A1,C1) ) ))),
% 5.38/1.16 inference(negated_conjecture,[status(cth)],[f95])).
% 5.38/1.16 fof(f97,plain,(
% 5.38/1.16 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 5.38/1.16 fof(f98,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f97])).
% 5.38/1.16 fof(f99,plain,(
% 5.38/1.16 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 5.38/1.16 fof(f100,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f99])).
% 5.38/1.16 fof(f101,plain,(
% 5.38/1.16 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 5.38/1.16 fof(f102,plain,(
% 5.38/1.16 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f101])).
% 5.38/1.16 fof(f103,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f102])).
% 5.38/1.16 fof(f104,plain,(
% 5.38/1.16 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 5.38/1.16 fof(f105,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f104])).
% 5.38/1.16 fof(f113,plain,(
% 5.38/1.16 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 5.38/1.16 fof(f114,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f113])).
% 5.38/1.16 fof(f115,plain,(
% 5.38/1.16 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 5.38/1.16 fof(f116,plain,(
% 5.38/1.16 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f115])).
% 5.38/1.16 fof(f117,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f116])).
% 5.38/1.16 fof(f118,plain,(
% 5.38/1.16 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 5.38/1.16 fof(f119,plain,(
% 5.38/1.16 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f118])).
% 5.38/1.16 fof(f120,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f119])).
% 5.38/1.16 fof(f123,plain,(
% 5.38/1.16 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 5.38/1.16 fof(f124,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f123])).
% 5.38/1.16 fof(f134,plain,(
% 5.38/1.16 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 5.38/1.16 fof(f135,plain,(
% 5.38/1.16 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f134])).
% 5.38/1.16 fof(f136,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f135])).
% 5.38/1.16 fof(f137,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 5.38/1.16 fof(f138,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f137])).
% 5.38/1.16 fof(f139,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 5.38/1.16 fof(f140,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f139])).
% 5.38/1.16 fof(f141,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 5.38/1.16 fof(f142,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f141])).
% 5.38/1.16 fof(f143,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 5.38/1.16 fof(f144,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f143])).
% 5.38/1.16 fof(f145,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 5.38/1.16 fof(f146,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f145])).
% 5.38/1.16 fof(f147,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f146])).
% 5.38/1.16 fof(f184,plain,(
% 5.38/1.16 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 5.38/1.16 fof(f185,plain,(
% 5.38/1.16 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f184])).
% 5.38/1.16 fof(f186,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f185])).
% 5.38/1.16 fof(f187,plain,(
% 5.38/1.16 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 5.38/1.16 fof(f188,plain,(
% 5.38/1.16 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f187])).
% 5.38/1.16 fof(f189,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f188])).
% 5.38/1.16 fof(f190,plain,(
% 5.38/1.16 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 5.38/1.16 fof(f191,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f190])).
% 5.38/1.16 fof(f194,plain,(
% 5.38/1.16 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 5.38/1.16 fof(f195,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f194])).
% 5.38/1.16 fof(f196,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 5.38/1.16 fof(f197,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f196])).
% 5.38/1.16 fof(f198,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f197])).
% 5.38/1.16 fof(f202,plain,(
% 5.38/1.16 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 5.38/1.16 fof(f203,plain,(
% 5.38/1.16 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f202])).
% 5.38/1.16 fof(f204,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f203])).
% 5.38/1.16 fof(f223,plain,(
% 5.38/1.16 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 5.38/1.16 fof(f224,plain,(
% 5.38/1.16 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f223])).
% 5.38/1.16 fof(f225,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f224])).
% 5.38/1.16 fof(f228,plain,(
% 5.38/1.16 ![A,B,M,O]: ((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 5.38/1.16 fof(f229,plain,(
% 5.38/1.16 ![A,B,O]: ((![M]: (~midp(M,A,B)|~perp(O,M,A,B)))|cong(O,A,O,B))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f228])).
% 5.38/1.16 fof(f230,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~perp(X3,X0,X1,X2)|cong(X3,X1,X3,X2))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f229])).
% 5.38/1.16 fof(f233,plain,(
% 5.38/1.16 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 5.38/1.16 fof(f234,plain,(
% 5.38/1.16 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f233])).
% 5.38/1.16 fof(f235,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f234])).
% 5.38/1.16 fof(f247,plain,(
% 5.38/1.16 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 5.38/1.16 fof(f248,plain,(
% 5.38/1.16 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f247])).
% 5.38/1.16 fof(f249,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f248])).
% 5.38/1.16 fof(f255,plain,(
% 5.38/1.16 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 5.38/1.16 fof(f256,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f255])).
% 5.38/1.16 fof(f257,plain,(
% 5.38/1.16 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 5.38/1.16 fof(f258,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f257])).
% 5.38/1.16 fof(f272,plain,(
% 5.38/1.16 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 5.38/1.16 fof(f273,plain,(
% 5.38/1.16 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V)))|perp(A,B,C,D))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f272])).
% 5.38/1.16 fof(f274,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~perp(X4,X5,X6,X7)|perp(X0,X1,X2,X3))),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f273])).
% 5.38/1.16 fof(f369,plain,(
% 5.38/1.16 (?[A,B,C,O,D,A1,C1,NWPNT1]: ((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(A,B,A,A1))&coll(A1,C,D))&perp(C,D,C,C1))&coll(C1,A,B))&~para(D,B,A1,C1)))),
% 5.38/1.16 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 5.38/1.16 fof(f370,plain,(
% 5.38/1.16 ?[B,D,A1,C1]: ((?[A]: ((?[C]: ((((?[O]: (circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D,NWPNT1))))&perp(A,B,A,A1))&coll(A1,C,D))&perp(C,D,C,C1)))&coll(C1,A,B)))&~para(D,B,A1,C1))),
% 5.38/1.16 inference(miniscoping,[status(esa)],[f369])).
% 5.38/1.16 fof(f371,plain,(
% 5.38/1.16 ((((((circle(sk0_26,sk0_24,sk0_20,sk0_25)&circle(sk0_26,sk0_24,sk0_21,sk0_27))&perp(sk0_24,sk0_20,sk0_24,sk0_22))&coll(sk0_22,sk0_25,sk0_21))&perp(sk0_25,sk0_21,sk0_25,sk0_23))&coll(sk0_23,sk0_24,sk0_20))&~para(sk0_21,sk0_20,sk0_22,sk0_23))),
% 5.38/1.16 inference(skolemization,[status(esa)],[f370])).
% 5.38/1.16 fof(f374,plain,(
% 5.38/1.16 perp(sk0_24,sk0_20,sk0_24,sk0_22)),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f371])).
% 5.38/1.16 fof(f378,plain,(
% 5.38/1.16 ~para(sk0_21,sk0_20,sk0_22,sk0_23)),
% 5.38/1.16 inference(cnf_transformation,[status(esa)],[f371])).
% 5.38/1.16 fof(f416,plain,(
% 5.38/1.16 perp(sk0_24,sk0_22,sk0_24,sk0_20)),
% 5.38/1.16 inference(resolution,[status(thm)],[f114,f374])).
% 5.38/1.16 fof(f421,plain,(
% 5.38/1.16 ![X0,X1]: (~perp(X0,X1,sk0_24,sk0_20)|para(X0,X1,sk0_24,sk0_22))),
% 5.38/1.16 inference(resolution,[status(thm)],[f117,f374])).
% 5.38/1.16 fof(f520,plain,(
% 5.38/1.16 para(sk0_24,sk0_22,sk0_24,sk0_22)),
% 5.38/1.16 inference(resolution,[status(thm)],[f421,f416])).
% 5.38/1.16 fof(f833,plain,(
% 5.38/1.16 ![X0,X1]: (eqangle(sk0_24,sk0_22,X0,X1,sk0_24,sk0_22,X0,X1))),
% 5.38/1.16 inference(resolution,[status(thm)],[f520,f189])).
% 5.38/1.16 fof(f1311,plain,(
% 5.38/1.16 ![X0,X1]: (eqangle(X0,X1,sk0_24,sk0_22,X0,X1,sk0_24,sk0_22))),
% 5.38/1.16 inference(resolution,[status(thm)],[f833,f140])).
% 5.38/1.16 fof(f2440,plain,(
% 5.38/1.16 ![X0,X1]: (para(X0,X1,X0,X1))),
% 5.38/1.16 inference(resolution,[status(thm)],[f1311,f186])).
% 5.38/1.16 fof(f2454,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2440,f189])).
% 5.38/1.16 fof(f2456,plain,(
% 5.38/1.16 ![X0,X1]: (coll(X0,X1,X1))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2440,f256])).
% 5.38/1.16 fof(f2457,plain,(
% 5.38/1.16 ![X0,X1]: (para(X0,X1,X1,X0))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2440,f105])).
% 5.38/1.16 fof(f2569,plain,(
% 5.38/1.16 ![X0,X1]: (coll(X0,X1,X0))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2456,f100])).
% 5.38/1.16 fof(f2685,plain,(
% 5.38/1.16 ![X0,X1]: (coll(X0,X0,X1))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2569,f98])).
% 5.38/1.16 fof(f2709,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2685,f103])).
% 5.38/1.16 fof(f2710,plain,(
% 5.38/1.16 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f2709,f2685])).
% 5.38/1.16 fof(f2715,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(X1,X2,X2,X3))),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f225,f2710])).
% 5.38/1.16 fof(f2716,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f258,f2710])).
% 5.38/1.16 fof(f2717,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|midp(X3,X1,X4))),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f204,f2710])).
% 5.38/1.16 fof(f2850,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2457,f189])).
% 5.38/1.16 fof(f2865,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2454,f144])).
% 5.38/1.16 fof(f2875,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X2,X3))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2850,f144])).
% 5.38/1.16 fof(f2877,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X3,X2))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2850,f140])).
% 5.38/1.16 fof(f2906,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X3,X2))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2875,f142])).
% 5.38/1.16 fof(f2914,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X2,X3,X4,X5,X7,X6))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2877,f147])).
% 5.38/1.16 fof(f2920,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f195,f2710])).
% 5.38/1.16 fof(f2923,plain,(
% 5.38/1.16 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2920,f2865])).
% 5.38/1.16 fof(f2925,plain,(
% 5.38/1.16 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2920,f2454])).
% 5.38/1.16 fof(f3198,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X3,X2))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2906,f138])).
% 5.38/1.16 fof(f3231,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X2,X1,X0))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2717,f2457])).
% 5.38/1.16 fof(f3232,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2717,f2440])).
% 5.38/1.16 fof(f3672,plain,(
% 5.38/1.16 spl0_158 <=> ~perp(X0,X1,X1,X0)),
% 5.38/1.16 introduced(split_symbol_definition)).
% 5.38/1.16 fof(f3673,plain,(
% 5.38/1.16 ![X0,X1]: (~perp(X0,X1,X1,X0)|~spl0_158)),
% 5.38/1.16 inference(component_clause,[status(thm)],[f3672])).
% 5.38/1.16 fof(f3734,plain,(
% 5.38/1.16 spl0_165 <=> perp(X0,X1,X1,X0)),
% 5.38/1.16 introduced(split_symbol_definition)).
% 5.38/1.16 fof(f3735,plain,(
% 5.38/1.16 ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_165)),
% 5.38/1.16 inference(component_clause,[status(thm)],[f3734])).
% 5.38/1.16 fof(f3759,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X0)|perp(X2,X3,X3,X2))),
% 5.38/1.16 inference(resolution,[status(thm)],[f274,f3198])).
% 5.38/1.16 fof(f3760,plain,(
% 5.38/1.16 spl0_158|spl0_165),
% 5.38/1.16 inference(split_clause,[status(thm)],[f3759,f3672,f3734])).
% 5.38/1.16 fof(f3985,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|perp(X0,X1,X3,X2)|~spl0_165)),
% 5.38/1.16 inference(resolution,[status(thm)],[f3735,f120])).
% 5.38/1.16 fof(f5203,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2923,f136])).
% 5.38/1.16 fof(f5204,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f5203,f2923])).
% 5.38/1.16 fof(f5221,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~cong(X0,X1,X2,X1)|~cong(X0,X1,X2,X1)|perp(X1,X0,X0,X1))),
% 5.38/1.16 inference(resolution,[status(thm)],[f2925,f235])).
% 5.38/1.16 fof(f5222,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~cong(X0,X1,X2,X1)|perp(X1,X0,X0,X1))),
% 5.38/1.16 inference(duplicate_literals_removal,[status(esa)],[f5221])).
% 5.38/1.16 fof(f5223,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~cong(X0,X1,X2,X1)|~spl0_158)),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f5222,f3673])).
% 5.38/1.16 fof(f5232,plain,(
% 5.38/1.16 ![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))),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f198,f5204])).
% 5.38/1.16 fof(f5233,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X3,X4,X3,X5)|cong(X0,X1,X4,X5))),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f5232,f5204])).
% 5.38/1.16 fof(f5236,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2))),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f191,f5204])).
% 5.38/1.16 fof(f5241,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X2,X3))),
% 5.38/1.16 inference(resolution,[status(thm)],[f5236,f2914])).
% 5.38/1.16 fof(f5290,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X3,X1,X3,X2))),
% 5.38/1.16 inference(resolution,[status(thm)],[f5241,f142])).
% 5.38/1.16 fof(f5292,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X2,X3))),
% 5.38/1.16 inference(resolution,[status(thm)],[f5241,f138])).
% 5.38/1.16 fof(f5717,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5))),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f5233,f5204])).
% 5.38/1.16 fof(f5742,plain,(
% 5.38/1.16 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 5.38/1.16 inference(resolution,[status(thm)],[f5717,f5292])).
% 5.38/1.16 fof(f5743,plain,(
% 5.38/1.16 $false|~spl0_158),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f5742,f5223])).
% 5.38/1.16 fof(f5744,plain,(
% 5.38/1.16 ~spl0_158),
% 5.38/1.16 inference(contradiction_clause,[status(thm)],[f5743])).
% 5.38/1.16 fof(f5745,plain,(
% 5.38/1.16 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 5.38/1.16 inference(resolution,[status(thm)],[f5717,f5290])).
% 5.38/1.16 fof(f5764,plain,(
% 5.38/1.16 ![X0,X1]: (perp(X0,X1,X0,X1)|~spl0_165)),
% 5.38/1.16 inference(resolution,[status(thm)],[f3985,f2457])).
% 5.38/1.16 fof(f5772,plain,(
% 5.38/1.16 ![X0,X1]: (midp(X0,X1,X1))),
% 5.38/1.16 inference(resolution,[status(thm)],[f5745,f2716])).
% 5.38/1.16 fof(f5789,plain,(
% 5.38/1.16 ![X0,X1]: (midp(X0,X1,X0))),
% 5.38/1.16 inference(resolution,[status(thm)],[f5772,f3232])).
% 5.38/1.16 fof(f5790,plain,(
% 5.38/1.16 ![X0,X1]: (midp(X0,X0,X1))),
% 5.38/1.16 inference(resolution,[status(thm)],[f5772,f3231])).
% 5.38/1.16 fof(f6300,plain,(
% 5.38/1.16 ![X0,X1]: (~midp(X0,X1,X0)|cong(X1,X1,X1,X0)|~spl0_165)),
% 5.38/1.16 inference(resolution,[status(thm)],[f5764,f230])).
% 5.38/1.16 fof(f6301,plain,(
% 5.38/1.16 ![X0,X1]: (cong(X0,X0,X0,X1)|~spl0_165)),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f6300,f5789])).
% 5.38/1.16 fof(f6327,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~cong(X0,X0,X0,X1)|circle(X0,X0,X1,X2)|~spl0_165)),
% 5.38/1.16 inference(resolution,[status(thm)],[f6301,f124])).
% 5.38/1.16 fof(f6328,plain,(
% 5.38/1.16 ![X0,X1,X2]: (circle(X0,X0,X1,X2)|~spl0_165)),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f6327,f6301])).
% 5.38/1.16 fof(f6399,plain,(
% 5.38/1.16 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_165)),
% 5.38/1.16 inference(resolution,[status(thm)],[f6328,f2715])).
% 5.38/1.16 fof(f6560,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~midp(X0,X0,X1)|cong(X2,X0,X2,X1)|~spl0_165)),
% 5.38/1.16 inference(resolution,[status(thm)],[f6399,f230])).
% 5.38/1.16 fof(f6561,plain,(
% 5.38/1.16 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~spl0_165)),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f6560,f5790])).
% 5.38/1.16 fof(f6711,plain,(
% 5.38/1.16 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_165)),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f2716,f6561])).
% 5.38/1.16 fof(f6889,plain,(
% 5.38/1.16 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|para(X3,X1,X4,X2)|~spl0_165)),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f249,f6711])).
% 5.38/1.16 fof(f6890,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_165)),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f6889,f6711])).
% 5.38/1.16 fof(f7072,plain,(
% 5.38/1.16 $false|~spl0_165),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f378,f6890])).
% 5.38/1.16 fof(f7073,plain,(
% 5.38/1.16 ~spl0_165),
% 5.38/1.16 inference(contradiction_clause,[status(thm)],[f7072])).
% 5.38/1.16 fof(f7074,plain,(
% 5.38/1.16 $false),
% 5.38/1.16 inference(sat_refutation,[status(thm)],[f3760,f5744,f7073])).
% 5.38/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 5.38/1.18 % Elapsed time: 0.824057 seconds
% 5.38/1.18 % CPU time: 6.136532 seconds
% 5.38/1.18 % Memory used: 110.633 MB
%------------------------------------------------------------------------------