TSTP Solution File: GEO563+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO563+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:09:10 EDT 2023
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO563+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 12:13:17 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.48 % Refutation found
% 0.20/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.48 fof(f4,axiom,(
% 0.20/0.48 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f8,axiom,(
% 0.20/0.48 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f9,axiom,(
% 0.20/0.48 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f12,axiom,(
% 0.20/0.48 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f13,axiom,(
% 0.20/0.48 (! [A,B,C,D,O] :( ( cong(O,A,O,B)& cong(O,A,O,C)& cong(O,A,O,D) )=> cyclic(A,B,C,D) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f16,axiom,(
% 0.20/0.48 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f18,axiom,(
% 0.20/0.48 (! [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) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f19,axiom,(
% 0.20/0.48 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(C,D,A,B,U,V,P,Q) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f20,axiom,(
% 0.20/0.48 (! [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) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f21,axiom,(
% 0.20/0.48 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(A,B,P,Q,C,D,U,V) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f22,axiom,(
% 0.20/0.48 (! [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) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f24,axiom,(
% 0.20/0.48 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f25,axiom,(
% 0.20/0.48 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f39,axiom,(
% 0.20/0.48 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f40,axiom,(
% 0.20/0.48 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f41,axiom,(
% 0.20/0.48 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f42,axiom,(
% 0.20/0.48 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f43,axiom,(
% 0.20/0.48 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f44,axiom,(
% 0.20/0.48 (! [A,B,C,P,Q,R] :( ( cyclic(A,B,C,P)& cyclic(A,B,C,Q)& cyclic(A,B,C,R)& eqangle(C,A,C,B,R,P,R,Q) )=> cong(A,B,P,Q) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f53,axiom,(
% 0.20/0.48 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f54,axiom,(
% 0.20/0.48 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f67,axiom,(
% 0.20/0.48 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f68,axiom,(
% 0.20/0.48 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f75,axiom,(
% 0.20/0.48 (! [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) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f87,axiom,(
% 0.20/0.48 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f95,conjecture,(
% 0.20/0.48 (! [Q,R,P,O1,S,Y,O,X,I,NWPNT1,NWPNT2] :( ( circle(O1,Q,R,P)& circle(O1,Q,S,NWPNT1)& coll(Y,Q,S)& circle(O,Y,P,Q)& circle(O,Q,X,NWPNT2)& coll(I,R,S)& coll(I,Y,X) )=> eqangle(R,I,I,X,R,P,P,X) ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f96,negated_conjecture,(
% 0.20/0.48 ~((! [Q,R,P,O1,S,Y,O,X,I,NWPNT1,NWPNT2] :( ( circle(O1,Q,R,P)& circle(O1,Q,S,NWPNT1)& coll(Y,Q,S)& circle(O,Y,P,Q)& circle(O,Q,X,NWPNT2)& coll(I,R,S)& coll(I,Y,X) )=> eqangle(R,I,I,X,R,P,P,X) ) ))),
% 0.20/0.48 inference(negated_conjecture,[status(cth)],[f95])).
% 0.20/0.48 fof(f104,plain,(
% 0.20/0.48 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.20/0.48 fof(f105,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f104])).
% 0.20/0.48 fof(f113,plain,(
% 0.20/0.48 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.20/0.48 fof(f114,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f113])).
% 0.20/0.48 fof(f115,plain,(
% 0.20/0.48 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.20/0.48 fof(f116,plain,(
% 0.20/0.48 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f115])).
% 0.20/0.48 fof(f117,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f116])).
% 0.20/0.48 fof(f123,plain,(
% 0.20/0.48 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.20/0.48 fof(f124,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f123])).
% 0.20/0.48 fof(f125,plain,(
% 0.20/0.48 ![A,B,C,D,O]: (((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D))|cyclic(A,B,C,D))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.20/0.48 fof(f126,plain,(
% 0.20/0.48 ![A,B,C,D]: ((![O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|~cong(O,A,O,D)))|cyclic(A,B,C,D))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f125])).
% 0.20/0.48 fof(f127,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|~cong(X0,X1,X0,X4)|cyclic(X1,X2,X3,X4))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f126])).
% 0.20/0.48 fof(f132,plain,(
% 0.20/0.48 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.20/0.48 fof(f133,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f132])).
% 0.20/0.48 fof(f137,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.20/0.48 fof(f138,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f137])).
% 0.20/0.48 fof(f139,plain,(
% 0.20/0.48 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.20/0.48 fof(f140,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X2,X3,X0,X1,X6,X7,X4,X5))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f139])).
% 0.20/0.48 fof(f141,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.20/0.48 fof(f142,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f141])).
% 0.20/0.48 fof(f143,plain,(
% 0.20/0.48 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.20/0.48 fof(f144,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X4,X5,X2,X3,X6,X7))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f143])).
% 0.20/0.48 fof(f145,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.20/0.48 fof(f146,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f145])).
% 0.20/0.48 fof(f147,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f146])).
% 0.20/0.48 fof(f150,plain,(
% 0.20/0.48 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.20/0.48 fof(f151,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f150])).
% 0.20/0.48 fof(f152,plain,(
% 0.20/0.48 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.20/0.48 fof(f153,plain,(
% 0.20/0.48 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f152])).
% 0.20/0.48 fof(f154,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f153])).
% 0.20/0.48 fof(f184,plain,(
% 0.20/0.48 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.20/0.48 fof(f185,plain,(
% 0.20/0.48 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f184])).
% 0.20/0.48 fof(f186,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f185])).
% 0.20/0.48 fof(f187,plain,(
% 0.20/0.48 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.20/0.48 fof(f188,plain,(
% 0.20/0.48 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f187])).
% 0.20/0.48 fof(f189,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f188])).
% 0.20/0.48 fof(f190,plain,(
% 0.20/0.48 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.20/0.48 fof(f191,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f190])).
% 0.20/0.48 fof(f192,plain,(
% 0.20/0.48 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.20/0.48 fof(f193,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f192])).
% 0.20/0.48 fof(f194,plain,(
% 0.20/0.48 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.20/0.48 fof(f195,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f194])).
% 0.20/0.48 fof(f196,plain,(
% 0.20/0.48 ![A,B,C,P,Q,R]: ((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.20/0.48 fof(f197,plain,(
% 0.20/0.48 ![A,B,P,Q]: ((![C,R]: (((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f196])).
% 0.20/0.48 fof(f198,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~cyclic(X0,X1,X2,X5)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f197])).
% 0.20/0.48 fof(f220,plain,(
% 0.20/0.48 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 0.20/0.48 fof(f221,plain,(
% 0.20/0.48 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f220])).
% 0.20/0.48 fof(f222,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f221])).
% 0.20/0.48 fof(f223,plain,(
% 0.20/0.48 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.20/0.48 fof(f224,plain,(
% 0.20/0.48 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f223])).
% 0.20/0.48 fof(f225,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f224])).
% 0.20/0.48 fof(f255,plain,(
% 0.20/0.48 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.20/0.48 fof(f256,plain,(
% 0.20/0.48 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.48 fof(f257,plain,(
% 0.20/0.48 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.20/0.48 fof(f258,plain,(
% 0.20/0.48 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f257])).
% 0.20/0.48 fof(f272,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 0.20/0.48 fof(f273,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f272])).
% 0.20/0.48 fof(f274,plain,(
% 0.20/0.48 ![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))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f273])).
% 0.20/0.48 fof(f331,plain,(
% 0.20/0.48 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 0.20/0.48 fof(f332,plain,(
% 0.20/0.48 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f331])).
% 0.20/0.48 fof(f333,plain,(
% 0.20/0.48 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sk0_11(O,A),A,A,O))),
% 0.20/0.48 inference(skolemization,[status(esa)],[f332])).
% 0.20/0.48 fof(f334,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sk0_11(X0,X1),X1,X1,X0))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f333])).
% 0.20/0.48 fof(f369,plain,(
% 0.20/0.48 (?[Q,R,P,O1,S,Y,O,X,I,NWPNT1,NWPNT2]: (((((((circle(O1,Q,R,P)&circle(O1,Q,S,NWPNT1))&coll(Y,Q,S))&circle(O,Y,P,Q))&circle(O,Q,X,NWPNT2))&coll(I,R,S))&coll(I,Y,X))&~eqangle(R,I,I,X,R,P,P,X)))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 0.20/0.48 fof(f370,plain,(
% 0.20/0.48 ?[R,P,X,I]: ((?[Y]: ((?[S]: ((?[Q,O]: ((((?[O1]: (circle(O1,Q,R,P)&(?[NWPNT1]: circle(O1,Q,S,NWPNT1))))&coll(Y,Q,S))&circle(O,Y,P,Q))&(?[NWPNT2]: circle(O,Q,X,NWPNT2))))&coll(I,R,S)))&coll(I,Y,X)))&~eqangle(R,I,I,X,R,P,P,X))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f369])).
% 0.20/0.49 fof(f371,plain,(
% 0.20/0.49 (((((((circle(sk0_28,sk0_26,sk0_20,sk0_21)&circle(sk0_28,sk0_26,sk0_25,sk0_29))&coll(sk0_24,sk0_26,sk0_25))&circle(sk0_27,sk0_24,sk0_21,sk0_26))&circle(sk0_27,sk0_26,sk0_22,sk0_30))&coll(sk0_23,sk0_20,sk0_25))&coll(sk0_23,sk0_24,sk0_22))&~eqangle(sk0_20,sk0_23,sk0_23,sk0_22,sk0_20,sk0_21,sk0_21,sk0_22))),
% 0.20/0.49 inference(skolemization,[status(esa)],[f370])).
% 0.20/0.49 fof(f376,plain,(
% 0.20/0.49 circle(sk0_27,sk0_26,sk0_22,sk0_30)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f371])).
% 0.20/0.49 fof(f379,plain,(
% 0.20/0.49 ~eqangle(sk0_20,sk0_23,sk0_23,sk0_22,sk0_20,sk0_21,sk0_21,sk0_22)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f371])).
% 0.20/0.49 fof(f603,plain,(
% 0.20/0.49 perp(sk0_11(sk0_27,sk0_26),sk0_26,sk0_26,sk0_27)),
% 0.20/0.49 inference(resolution,[status(thm)],[f334,f376])).
% 0.20/0.49 fof(f617,plain,(
% 0.20/0.49 ![X0,X1]: (~perp(X0,X1,sk0_11(sk0_27,sk0_26),sk0_26)|para(X0,X1,sk0_26,sk0_27))),
% 0.20/0.49 inference(resolution,[status(thm)],[f603,f117])).
% 0.20/0.49 fof(f640,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~cyclic(X2,X1,X0,X3))),
% 0.20/0.49 inference(resolution,[status(thm)],[f191,f133])).
% 0.20/0.49 fof(f723,plain,(
% 0.20/0.49 ![X0,X1]: (para(X0,X1,sk0_26,sk0_27)|~perp(sk0_11(sk0_27,sk0_26),sk0_26,X0,X1))),
% 0.20/0.49 inference(resolution,[status(thm)],[f617,f114])).
% 0.20/0.49 fof(f732,plain,(
% 0.20/0.49 para(sk0_26,sk0_27,sk0_26,sk0_27)),
% 0.20/0.49 inference(resolution,[status(thm)],[f723,f603])).
% 0.20/0.49 fof(f736,plain,(
% 0.20/0.49 ![X0,X1]: (eqangle(sk0_26,sk0_27,X0,X1,sk0_26,sk0_27,X0,X1))),
% 0.20/0.49 inference(resolution,[status(thm)],[f732,f189])).
% 0.20/0.49 fof(f762,plain,(
% 0.20/0.49 ![X0,X1]: (eqangle(X0,X1,sk0_26,sk0_27,X0,X1,sk0_26,sk0_27))),
% 0.20/0.49 inference(resolution,[status(thm)],[f736,f140])).
% 0.20/0.49 fof(f809,plain,(
% 0.20/0.49 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.20/0.49 inference(resolution,[status(thm)],[f762,f186])).
% 0.20/0.49 fof(f816,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 0.20/0.49 inference(resolution,[status(thm)],[f809,f189])).
% 0.20/0.49 fof(f818,plain,(
% 0.20/0.49 ![X0,X1]: (para(X0,X1,X1,X0))),
% 0.20/0.49 inference(resolution,[status(thm)],[f809,f105])).
% 0.20/0.49 fof(f819,plain,(
% 0.20/0.49 ![X0,X1]: (coll(X0,X1,X1))),
% 0.20/0.49 inference(resolution,[status(thm)],[f809,f256])).
% 0.20/0.49 fof(f841,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 0.20/0.49 inference(resolution,[status(thm)],[f818,f189])).
% 0.20/0.49 fof(f851,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 0.20/0.49 inference(resolution,[status(thm)],[f816,f144])).
% 0.20/0.49 fof(f858,plain,(
% 0.20/0.49 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X2,X3,X5,X4,X6,X7))),
% 0.20/0.49 inference(resolution,[status(thm)],[f841,f147])).
% 0.20/0.49 fof(f861,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X2,X3))),
% 0.20/0.49 inference(resolution,[status(thm)],[f841,f144])).
% 0.20/0.49 fof(f883,plain,(
% 0.20/0.49 spl0_30 <=> perp(X2,X3,X3,X2)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f884,plain,(
% 0.20/0.49 ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_30)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f883])).
% 0.20/0.49 fof(f892,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X3,X2))),
% 0.20/0.49 inference(resolution,[status(thm)],[f861,f142])).
% 0.20/0.49 fof(f908,plain,(
% 0.20/0.49 spl0_31 <=> ~perp(X0,X1,X1,X0)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f909,plain,(
% 0.20/0.49 ![X0,X1]: (~perp(X0,X1,X1,X0)|~spl0_31)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f908])).
% 0.20/0.49 fof(f919,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X3,X2))),
% 0.20/0.49 inference(resolution,[status(thm)],[f892,f138])).
% 0.20/0.49 fof(f934,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X0)|perp(X2,X3,X3,X2))),
% 0.20/0.49 inference(resolution,[status(thm)],[f919,f274])).
% 0.20/0.49 fof(f935,plain,(
% 0.20/0.49 spl0_31|spl0_30),
% 0.20/0.49 inference(split_clause,[status(thm)],[f934,f908,f883])).
% 0.20/0.49 fof(f948,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~circle(X0,X1,X2,X1)|~coll(X0,X1,X1)|~spl0_31)),
% 0.20/0.49 inference(resolution,[status(thm)],[f909,f225])).
% 0.20/0.49 fof(f949,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~circle(X0,X1,X2,X1)|~spl0_31)),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f948,f819])).
% 0.20/0.49 fof(f1468,plain,(
% 0.20/0.49 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 0.20/0.49 inference(resolution,[status(thm)],[f193,f851])).
% 0.20/0.49 fof(f1480,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1))),
% 0.20/0.49 inference(resolution,[status(thm)],[f195,f851])).
% 0.20/0.49 fof(f1511,plain,(
% 0.20/0.49 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1480,f1468])).
% 0.20/0.49 fof(f1551,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|~eqangle(X1,X0,X1,X0,X3,X2,X3,X3)|cong(X0,X0,X2,X3))),
% 0.20/0.49 inference(resolution,[status(thm)],[f198,f1511])).
% 0.20/0.49 fof(f1552,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X1,X2,X3,X2,X2)|cong(X1,X1,X3,X2))),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1551,f1511])).
% 0.20/0.49 fof(f1579,plain,(
% 0.20/0.49 ![X0,X1]: (cong(X0,X0,X1,X1))),
% 0.20/0.49 inference(resolution,[status(thm)],[f1552,f919])).
% 0.20/0.49 fof(f1587,plain,(
% 0.20/0.49 ![X0]: (~coll(X0,X0,X0)|midp(X0,X0,X0))),
% 0.20/0.49 inference(resolution,[status(thm)],[f1579,f258])).
% 0.20/0.49 fof(f1588,plain,(
% 0.20/0.49 ![X0]: (midp(X0,X0,X0))),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1587,f819])).
% 0.20/0.49 fof(f1589,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X2)|cong(X0,X1,X3,X3))),
% 0.20/0.49 inference(resolution,[status(thm)],[f1579,f154])).
% 0.20/0.49 fof(f1596,plain,(
% 0.20/0.49 ![X0,X1]: (~cong(X0,X0,X0,X1)|circle(X0,X0,X1,X0))),
% 0.20/0.49 inference(resolution,[status(thm)],[f1579,f124])).
% 0.20/0.49 fof(f1597,plain,(
% 0.20/0.49 ![X0,X1]: (~cong(X0,X0,X0,X1)|~spl0_31)),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1596,f949])).
% 0.20/0.49 fof(f1599,plain,(
% 0.20/0.49 $false|~spl0_31),
% 0.20/0.49 inference(resolution,[status(thm)],[f1597,f1579])).
% 0.20/0.49 fof(f1600,plain,(
% 0.20/0.49 ~spl0_31),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f1599])).
% 0.20/0.49 fof(f1906,plain,(
% 0.20/0.49 ![X0,X1]: (~perp(X0,X1,X1,X0)|cong(X0,X0,X1,X0))),
% 0.20/0.49 inference(resolution,[status(thm)],[f1588,f222])).
% 0.20/0.49 fof(f1907,plain,(
% 0.20/0.49 ![X0,X1]: (cong(X0,X0,X1,X0)|~spl0_30)),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1906,f884])).
% 0.20/0.49 fof(f2112,plain,(
% 0.20/0.49 ![X0,X1]: (cong(X0,X1,X1,X1)|~spl0_30)),
% 0.20/0.49 inference(resolution,[status(thm)],[f1907,f151])).
% 0.20/0.49 fof(f2119,plain,(
% 0.20/0.49 ![X0,X1,X2]: (cong(X0,X1,X2,X2)|~spl0_30)),
% 0.20/0.49 inference(resolution,[status(thm)],[f2112,f1589])).
% 0.20/0.49 fof(f2156,plain,(
% 0.20/0.49 ![X0,X1,X2]: (cong(X0,X0,X1,X2)|~spl0_30)),
% 0.20/0.49 inference(resolution,[status(thm)],[f2119,f151])).
% 0.20/0.49 fof(f2406,plain,(
% 0.20/0.49 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X2,X2)|cong(X0,X1,X3,X4)|~spl0_30)),
% 0.20/0.49 inference(resolution,[status(thm)],[f2156,f154])).
% 0.20/0.50 fof(f2407,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (cong(X0,X1,X2,X3)|~spl0_30)),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2406,f2119])).
% 0.20/0.50 fof(f2420,plain,(
% 0.20/0.50 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|cyclic(X1,X4,X2,X3)|~spl0_30)),
% 0.20/0.50 inference(backward_subsumption_resolution,[status(thm)],[f127,f2407])).
% 0.20/0.50 fof(f2421,plain,(
% 0.20/0.50 ![X0,X1,X2,X3,X4]: (~cong(X0,X1,X0,X2)|cyclic(X1,X3,X4,X2)|~spl0_30)),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2420,f2407])).
% 0.20/0.50 fof(f2515,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_30)),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2421,f2407])).
% 0.20/0.50 fof(f2536,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_30)),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f640,f2515])).
% 0.20/0.50 fof(f2541,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2)|~spl0_30)),
% 0.20/0.50 inference(resolution,[status(thm)],[f2536,f138])).
% 0.20/0.50 fof(f2620,plain,(
% 0.20/0.50 ~eqangle(sk0_20,sk0_23,sk0_23,sk0_22,sk0_21,sk0_20,sk0_21,sk0_22)),
% 0.20/0.50 inference(resolution,[status(thm)],[f858,f379])).
% 0.20/0.50 fof(f2716,plain,(
% 0.20/0.50 $false|~spl0_30),
% 0.20/0.50 inference(backward_subsumption_resolution,[status(thm)],[f2620,f2541])).
% 0.20/0.50 fof(f2717,plain,(
% 0.20/0.50 ~spl0_30),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f2716])).
% 0.20/0.50 fof(f2718,plain,(
% 0.20/0.50 $false),
% 0.20/0.50 inference(sat_refutation,[status(thm)],[f935,f1600,f2717])).
% 0.20/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.50 % Elapsed time: 0.150992 seconds
% 0.20/0.50 % CPU time: 1.041157 seconds
% 0.20/0.50 % Memory used: 58.497 MB
%------------------------------------------------------------------------------