TSTP Solution File: GEO629+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO629+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:09:22 EDT 2023
% Result : Theorem 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO629+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 12:03:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.20/0.61 % Refutation found
% 0.20/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.61 fof(f1,axiom,(
% 0.20/0.61 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f2,axiom,(
% 0.20/0.61 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f3,axiom,(
% 0.20/0.61 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f5,axiom,(
% 0.20/0.61 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f8,axiom,(
% 0.20/0.61 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f9,axiom,(
% 0.20/0.61 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f12,axiom,(
% 0.20/0.61 (! [A,B,C,O] :( ( cong(O,A,O,B)& cong(O,A,O,C) )=> circle(O,A,B,C) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f14,axiom,(
% 0.20/0.61 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f15,axiom,(
% 0.20/0.61 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f16,axiom,(
% 0.20/0.61 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f17,axiom,(
% 0.20/0.61 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f19,axiom,(
% 0.20/0.61 (! [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) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f23,axiom,(
% 0.20/0.61 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f24,axiom,(
% 0.20/0.61 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f39,axiom,(
% 0.20/0.61 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f40,axiom,(
% 0.20/0.61 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f41,axiom,(
% 0.20/0.61 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f43,axiom,(
% 0.20/0.61 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f44,axiom,(
% 0.20/0.61 (! [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) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f45,axiom,(
% 0.20/0.61 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f47,axiom,(
% 0.20/0.61 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f49,axiom,(
% 0.20/0.61 (! [A,B,C,O,X] :( ( circle(O,A,B,C)& perp(O,A,A,X) )=> eqangle(A,X,A,B,C,A,C,B) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f55,axiom,(
% 0.20/0.61 (! [A,B,C,D] :( ( cyclic(A,B,C,D)& para(A,B,C,D) )=> eqangle(A,D,C,D,C,D,C,B) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f58,axiom,(
% 0.20/0.61 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f65,axiom,(
% 0.20/0.61 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f67,axiom,(
% 0.20/0.61 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.61 fof(f68,axiom,(
% 0.20/0.61 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 0.20/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f69,axiom,(
% 0.20/0.62 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f95,conjecture,(
% 0.20/0.62 (! [A,B,C,O,P1,F1,G1,P,F,G,K,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,B,C)& circle(O,A,P1,NWPNT1)& perp(F1,P1,A,C)& coll(F1,A,C)& perp(G1,P1,A,B)& coll(G1,A,B)& circle(O,A,P,NWPNT2)& perp(F,P,A,C)& coll(F,A,C)& perp(G,P,A,B)& coll(G,A,B)& para(F1,G1,K,P)& circle(O,A,K,NWPNT3) )=> para(K,P1,G,F) ) )),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f96,negated_conjecture,(
% 0.20/0.62 ~((! [A,B,C,O,P1,F1,G1,P,F,G,K,NWPNT1,NWPNT2,NWPNT3] :( ( circle(O,A,B,C)& circle(O,A,P1,NWPNT1)& perp(F1,P1,A,C)& coll(F1,A,C)& perp(G1,P1,A,B)& coll(G1,A,B)& circle(O,A,P,NWPNT2)& perp(F,P,A,C)& coll(F,A,C)& perp(G,P,A,B)& coll(G,A,B)& para(F1,G1,K,P)& circle(O,A,K,NWPNT3) )=> para(K,P1,G,F) ) ))),
% 0.20/0.62 inference(negated_conjecture,[status(cth)],[f95])).
% 0.20/0.62 fof(f97,plain,(
% 0.20/0.62 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.20/0.62 fof(f98,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f97])).
% 0.20/0.62 fof(f99,plain,(
% 0.20/0.62 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.20/0.62 fof(f100,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f99])).
% 0.20/0.62 fof(f101,plain,(
% 0.20/0.62 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.20/0.62 fof(f102,plain,(
% 0.20/0.62 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f101])).
% 0.20/0.62 fof(f103,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f102])).
% 0.20/0.62 fof(f106,plain,(
% 0.20/0.62 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.20/0.62 fof(f107,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f106])).
% 0.20/0.62 fof(f113,plain,(
% 0.20/0.62 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.20/0.62 fof(f114,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f113])).
% 0.20/0.62 fof(f115,plain,(
% 0.20/0.62 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.20/0.62 fof(f116,plain,(
% 0.20/0.62 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f115])).
% 0.20/0.62 fof(f117,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f116])).
% 0.20/0.62 fof(f123,plain,(
% 0.20/0.62 ![A,B,C,O]: ((~cong(O,A,O,B)|~cong(O,A,O,C))|circle(O,A,B,C))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.20/0.62 fof(f124,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X0,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X2,X3))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f123])).
% 0.20/0.62 fof(f128,plain,(
% 0.20/0.62 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.20/0.62 fof(f129,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f128])).
% 0.20/0.62 fof(f130,plain,(
% 0.20/0.62 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.20/0.62 fof(f131,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f130])).
% 0.20/0.62 fof(f132,plain,(
% 0.20/0.62 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.20/0.62 fof(f133,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f132])).
% 0.20/0.62 fof(f134,plain,(
% 0.20/0.62 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.20/0.62 fof(f135,plain,(
% 0.20/0.62 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f134])).
% 0.20/0.62 fof(f136,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f135])).
% 0.20/0.62 fof(f139,plain,(
% 0.20/0.62 ![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))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.20/0.62 fof(f140,plain,(
% 0.20/0.62 ![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))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f139])).
% 0.20/0.62 fof(f148,plain,(
% 0.20/0.62 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.20/0.62 fof(f149,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f148])).
% 0.20/0.62 fof(f150,plain,(
% 0.20/0.62 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.20/0.62 fof(f151,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f150])).
% 0.20/0.62 fof(f184,plain,(
% 0.20/0.62 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.20/0.62 fof(f185,plain,(
% 0.20/0.62 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f184])).
% 0.20/0.62 fof(f186,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f185])).
% 0.20/0.62 fof(f187,plain,(
% 0.20/0.62 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.20/0.62 fof(f188,plain,(
% 0.20/0.62 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f187])).
% 0.20/0.62 fof(f189,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f188])).
% 0.20/0.62 fof(f190,plain,(
% 0.20/0.62 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.20/0.62 fof(f191,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f190])).
% 0.20/0.62 fof(f194,plain,(
% 0.20/0.62 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.20/0.62 fof(f195,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f194])).
% 0.20/0.62 fof(f196,plain,(
% 0.20/0.62 ![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))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.20/0.62 fof(f197,plain,(
% 0.20/0.62 ![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))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f196])).
% 0.20/0.62 fof(f198,plain,(
% 0.20/0.62 ![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))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f197])).
% 0.20/0.62 fof(f199,plain,(
% 0.20/0.62 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.20/0.62 fof(f200,plain,(
% 0.20/0.62 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f199])).
% 0.20/0.62 fof(f201,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f200])).
% 0.20/0.62 fof(f205,plain,(
% 0.20/0.62 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.20/0.62 fof(f206,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f205])).
% 0.20/0.62 fof(f209,plain,(
% 0.20/0.62 ![A,B,C,O,X]: ((~circle(O,A,B,C)|~perp(O,A,A,X))|eqangle(A,X,A,B,C,A,C,B))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.20/0.62 fof(f210,plain,(
% 0.20/0.62 ![A,B,C,X]: ((![O]: (~circle(O,A,B,C)|~perp(O,A,A,X)))|eqangle(A,X,A,B,C,A,C,B))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f209])).
% 0.20/0.62 fof(f211,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4]: (~circle(X0,X1,X2,X3)|~perp(X0,X1,X1,X4)|eqangle(X1,X4,X1,X2,X3,X1,X3,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f210])).
% 0.20/0.62 fof(f226,plain,(
% 0.20/0.62 ![A,B,C,D]: ((~cyclic(A,B,C,D)|~para(A,B,C,D))|eqangle(A,D,C,D,C,D,C,B))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.20/0.62 fof(f227,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|~para(X0,X1,X2,X3)|eqangle(X0,X3,X2,X3,X2,X3,X2,X1))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f226])).
% 0.20/0.62 fof(f233,plain,(
% 0.20/0.62 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.20/0.62 fof(f234,plain,(
% 0.20/0.62 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f233])).
% 0.20/0.62 fof(f235,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f234])).
% 0.20/0.62 fof(f250,plain,(
% 0.20/0.62 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 0.20/0.62 fof(f251,plain,(
% 0.20/0.62 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f250])).
% 0.20/0.62 fof(f252,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f251])).
% 0.20/0.62 fof(f255,plain,(
% 0.20/0.62 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.20/0.62 fof(f256,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.62 fof(f257,plain,(
% 0.20/0.62 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.20/0.62 fof(f258,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f257])).
% 0.20/0.62 fof(f259,plain,(
% 0.20/0.62 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 0.20/0.62 fof(f260,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f259])).
% 0.20/0.62 fof(f369,plain,(
% 0.20/0.62 (?[A,B,C,O,P1,F1,G1,P,F,G,K,NWPNT1,NWPNT2,NWPNT3]: (((((((((((((circle(O,A,B,C)&circle(O,A,P1,NWPNT1))&perp(F1,P1,A,C))&coll(F1,A,C))&perp(G1,P1,A,B))&coll(G1,A,B))&circle(O,A,P,NWPNT2))&perp(F,P,A,C))&coll(F,A,C))&perp(G,P,A,B))&coll(G,A,B))¶(F1,G1,K,P))&circle(O,A,K,NWPNT3))&~para(K,P1,G,F)))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 0.20/0.62 fof(f370,plain,(
% 0.20/0.62 ?[P1,F,G,K]: ((?[A,O]: ((?[F1,G1,P]: ((?[B]: (((?[C]: ((((((((circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,P1,NWPNT1)))&perp(F1,P1,A,C))&coll(F1,A,C))&perp(G1,P1,A,B))&coll(G1,A,B))&(?[NWPNT2]: circle(O,A,P,NWPNT2)))&perp(F,P,A,C))&coll(F,A,C)))&perp(G,P,A,B))&coll(G,A,B)))¶(F1,G1,K,P)))&(?[NWPNT3]: circle(O,A,K,NWPNT3))))&~para(K,P1,G,F))),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f369])).
% 0.20/0.62 fof(f371,plain,(
% 0.20/0.62 (((((((((((((circle(sk0_25,sk0_24,sk0_29,sk0_30)&circle(sk0_25,sk0_24,sk0_20,sk0_31))&perp(sk0_26,sk0_20,sk0_24,sk0_30))&coll(sk0_26,sk0_24,sk0_30))&perp(sk0_27,sk0_20,sk0_24,sk0_29))&coll(sk0_27,sk0_24,sk0_29))&circle(sk0_25,sk0_24,sk0_28,sk0_32))&perp(sk0_21,sk0_28,sk0_24,sk0_30))&coll(sk0_21,sk0_24,sk0_30))&perp(sk0_22,sk0_28,sk0_24,sk0_29))&coll(sk0_22,sk0_24,sk0_29))¶(sk0_26,sk0_27,sk0_23,sk0_28))&circle(sk0_25,sk0_24,sk0_23,sk0_33))&~para(sk0_23,sk0_20,sk0_22,sk0_21))),
% 0.20/0.62 inference(skolemization,[status(esa)],[f370])).
% 0.20/0.62 fof(f379,plain,(
% 0.20/0.62 perp(sk0_21,sk0_28,sk0_24,sk0_30)),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f371])).
% 0.20/0.62 fof(f385,plain,(
% 0.20/0.62 ~para(sk0_23,sk0_20,sk0_22,sk0_21)),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f371])).
% 0.20/0.62 fof(f568,plain,(
% 0.20/0.62 perp(sk0_24,sk0_30,sk0_21,sk0_28)),
% 0.20/0.62 inference(resolution,[status(thm)],[f114,f379])).
% 0.20/0.62 fof(f608,plain,(
% 0.20/0.62 ![X0,X1]: (~perp(X0,X1,sk0_24,sk0_30)|para(X0,X1,sk0_21,sk0_28))),
% 0.20/0.62 inference(resolution,[status(thm)],[f568,f117])).
% 0.20/0.62 fof(f787,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~cong(X0,X1,X0,X3)|circle(X0,X1,X3,X2))),
% 0.20/0.62 inference(resolution,[status(thm)],[f260,f124])).
% 0.20/0.62 fof(f788,plain,(
% 0.20/0.62 ![X0,X1,X2]: (cong(X0,X1,X2,X0)|~midp(X0,X1,X2))),
% 0.20/0.62 inference(resolution,[status(thm)],[f149,f260])).
% 0.20/0.62 fof(f795,plain,(
% 0.20/0.62 ![X0,X1,X2]: (cong(X0,X1,X1,X2)|~midp(X1,X2,X0))),
% 0.20/0.62 inference(resolution,[status(thm)],[f151,f788])).
% 0.20/0.62 fof(f796,plain,(
% 0.20/0.62 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 0.20/0.62 inference(resolution,[status(thm)],[f151,f260])).
% 0.20/0.62 fof(f798,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X2,X0,X1,X0))),
% 0.20/0.62 inference(resolution,[status(thm)],[f795,f149])).
% 0.20/0.62 fof(f805,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X2,X1,X0))),
% 0.20/0.62 inference(resolution,[status(thm)],[f796,f149])).
% 0.20/0.62 fof(f811,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X1,X0,X2,X0))),
% 0.20/0.62 inference(resolution,[status(thm)],[f798,f151])).
% 0.20/0.62 fof(f818,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X1,X0,X0,X2))),
% 0.20/0.62 inference(resolution,[status(thm)],[f805,f151])).
% 0.20/0.62 fof(f833,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 0.20/0.62 inference(resolution,[status(thm)],[f140,f189])).
% 0.20/0.62 fof(f986,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X1)|~perp(X0,X1,X1,X3)|para(X1,X3,X1,X1))),
% 0.20/0.62 inference(resolution,[status(thm)],[f211,f186])).
% 0.20/0.62 fof(f1097,plain,(
% 0.20/0.62 para(sk0_21,sk0_28,sk0_21,sk0_28)),
% 0.20/0.62 inference(resolution,[status(thm)],[f608,f379])).
% 0.20/0.62 fof(f1882,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|circle(X0,X1,X1,X2)|~midp(X1,X0,X0))),
% 0.20/0.62 inference(resolution,[status(thm)],[f787,f811])).
% 0.20/0.62 fof(f2084,plain,(
% 0.20/0.62 spl0_8 <=> ~para(X0,X1,X0,X1)),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f2085,plain,(
% 0.20/0.62 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_8)),
% 0.20/0.62 inference(component_clause,[status(thm)],[f2084])).
% 0.20/0.62 fof(f2087,plain,(
% 0.20/0.62 spl0_9 <=> para(X2,X3,X2,X3)),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f2088,plain,(
% 0.20/0.62 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_9)),
% 0.20/0.62 inference(component_clause,[status(thm)],[f2087])).
% 0.20/0.62 fof(f2090,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 0.20/0.62 inference(resolution,[status(thm)],[f833,f186])).
% 0.20/0.62 fof(f2091,plain,(
% 0.20/0.62 spl0_8|spl0_9),
% 0.20/0.62 inference(split_clause,[status(thm)],[f2090,f2084,f2087])).
% 0.20/0.62 fof(f2240,plain,(
% 0.20/0.62 $false|~spl0_8),
% 0.20/0.62 inference(backward_subsumption_resolution,[status(thm)],[f1097,f2085])).
% 0.20/0.62 fof(f2241,plain,(
% 0.20/0.62 ~spl0_8),
% 0.20/0.62 inference(contradiction_clause,[status(thm)],[f2240])).
% 0.20/0.62 fof(f2270,plain,(
% 0.20/0.62 ![X0,X1]: (coll(X0,X1,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2088,f256])).
% 0.20/0.62 fof(f2312,plain,(
% 0.20/0.62 ![X0,X1]: (coll(X0,X1,X0)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2270,f100])).
% 0.20/0.62 fof(f2354,plain,(
% 0.20/0.62 ![X0,X1]: (coll(X0,X0,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2312,f98])).
% 0.20/0.62 fof(f2361,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2354,f103])).
% 0.20/0.62 fof(f2362,plain,(
% 0.20/0.62 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2361,f2354])).
% 0.20/0.62 fof(f2507,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f195,f2362])).
% 0.20/0.62 fof(f2510,plain,(
% 0.20/0.62 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2)|~para(X2,X1,X2,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2507,f833])).
% 0.20/0.62 fof(f2511,plain,(
% 0.20/0.62 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2510,f2088])).
% 0.20/0.62 fof(f2556,plain,(
% 0.20/0.62 ![X0,X1,X2]: (cyclic(X0,X1,X2,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2511,f131])).
% 0.20/0.62 fof(f2560,plain,(
% 0.20/0.62 ![X0,X1,X2]: (cyclic(X0,X1,X2,X0)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2556,f133])).
% 0.20/0.62 fof(f2567,plain,(
% 0.20/0.62 ![X0,X1,X2]: (cyclic(X0,X1,X0,X2)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2560,f129])).
% 0.20/0.62 fof(f2575,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X0,X2)|cyclic(X1,X0,X2,X3)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2567,f136])).
% 0.20/0.62 fof(f2576,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2575,f2567])).
% 0.20/0.62 fof(f2586,plain,(
% 0.20/0.62 ![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)|~spl0_9)),
% 0.20/0.62 inference(backward_subsumption_resolution,[status(thm)],[f198,f2576])).
% 0.20/0.62 fof(f2587,plain,(
% 0.20/0.62 ![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)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2586,f2576])).
% 0.20/0.62 fof(f2588,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_9)),
% 0.20/0.62 inference(backward_subsumption_resolution,[status(thm)],[f191,f2576])).
% 0.20/0.62 fof(f2590,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2587,f2576])).
% 0.20/0.62 fof(f2598,plain,(
% 0.20/0.62 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f2588,f2590])).
% 0.20/0.62 fof(f2660,plain,(
% 0.20/0.62 ![X0]: (~midp(sk0_23,X0,sk0_22)|~midp(sk0_20,X0,sk0_21))),
% 0.20/0.62 inference(resolution,[status(thm)],[f201,f385])).
% 0.20/0.62 fof(f2738,plain,(
% 0.20/0.62 ![X0,X1]: (~cong(X0,X0,X0,X1)|para(X0,X0,X0,X1))),
% 0.20/0.62 inference(resolution,[status(thm)],[f206,f186])).
% 0.20/0.62 fof(f2861,plain,(
% 0.20/0.62 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X0,X1))),
% 0.20/0.62 inference(resolution,[status(thm)],[f2738,f818])).
% 0.20/0.62 fof(f3054,plain,(
% 0.20/0.62 ![X0,X1]: (~midp(X0,X0,X1)|para(X0,X1,X0,X0))),
% 0.20/0.62 inference(resolution,[status(thm)],[f2861,f107])).
% 0.20/0.62 fof(f3409,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|eqangle(X0,X3,X2,X3,X2,X3,X2,X1)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f227,f2576])).
% 0.20/0.62 fof(f3410,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|cong(X2,X2,X2,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f3409,f2590])).
% 0.20/0.62 fof(f3961,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f235,f2576])).
% 0.20/0.62 fof(f3966,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f3961,f2598])).
% 0.20/0.62 fof(f3967,plain,(
% 0.20/0.62 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f3966,f2598])).
% 0.20/0.62 fof(f4041,plain,(
% 0.20/0.62 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X1)|para(X1,X3,X1,X1)|~spl0_9)),
% 0.20/0.62 inference(backward_subsumption_resolution,[status(thm)],[f986,f3967])).
% 0.20/0.62 fof(f4641,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X1)|midp(X0,X2,X1)|~midp(X1,X1,X2))),
% 0.20/0.62 inference(resolution,[status(thm)],[f252,f2861])).
% 0.20/0.62 fof(f4642,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X1)|~midp(X1,X1,X2))),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f4641,f3054])).
% 0.20/0.62 fof(f4857,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f258,f2362])).
% 0.20/0.62 fof(f4861,plain,(
% 0.20/0.62 ![X0,X1]: (midp(X0,X1,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f4857,f2598])).
% 0.20/0.62 fof(f5821,plain,(
% 0.20/0.62 ![X0,X1,X2]: (midp(X0,X1,X2)|~midp(X2,X2,X1)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f4642,f4861])).
% 0.20/0.62 fof(f6721,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X2)|circle(X0,X1,X1,X2)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f1882,f4861])).
% 0.20/0.62 fof(f6725,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~midp(X0,X1,X1)|para(X1,X2,X1,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f6721,f4041])).
% 0.20/0.62 fof(f6726,plain,(
% 0.20/0.62 ![X0,X1]: (para(X0,X1,X0,X0)|~spl0_9)),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f6725,f4861])).
% 0.20/0.62 fof(f6770,plain,(
% 0.20/0.62 ![X0,X1]: (cong(X0,X0,X0,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f6726,f3410])).
% 0.20/0.62 fof(f6783,plain,(
% 0.20/0.62 ![X0,X1]: (midp(X0,X0,X1)|~spl0_9)),
% 0.20/0.62 inference(resolution,[status(thm)],[f6770,f4857])).
% 0.20/0.62 fof(f6817,plain,(
% 0.20/0.62 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_9)),
% 0.20/0.62 inference(backward_subsumption_resolution,[status(thm)],[f5821,f6783])).
% 0.20/0.62 fof(f6829,plain,(
% 0.20/0.62 ![X0]: (~midp(sk0_20,X0,sk0_21)|~spl0_9)),
% 0.20/0.62 inference(backward_subsumption_resolution,[status(thm)],[f2660,f6817])).
% 0.20/0.62 fof(f6830,plain,(
% 0.20/0.62 $false|~spl0_9),
% 0.20/0.62 inference(forward_subsumption_resolution,[status(thm)],[f6829,f6817])).
% 0.20/0.62 fof(f6831,plain,(
% 0.20/0.62 ~spl0_9),
% 0.20/0.62 inference(contradiction_clause,[status(thm)],[f6830])).
% 0.20/0.62 fof(f6832,plain,(
% 0.20/0.62 $false),
% 0.20/0.62 inference(sat_refutation,[status(thm)],[f2091,f2241,f6831])).
% 0.20/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.63 % Elapsed time: 0.276915 seconds
% 0.20/0.63 % CPU time: 2.030972 seconds
% 0.20/0.63 % Memory used: 66.348 MB
%------------------------------------------------------------------------------